On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X - N
b.
Find the probability that an indoor cat dies when it is between 16.9 and 18.4 years old.
C. The middle 30% of indoor cats' age of death lies between what two numbers? Low: High: years years​

Answers

Answer 1

The probabilities obtained from z-scores found from the specified mean and standard deviation (approximate values) are;

a. Normal distribution

X ~ N(16, 2.5)

b. 0.19089

c. 15.04 and 16.96

What is the z-score of a raw score from a dataset?

The z-score is a measure of the number of standard deviation a data point or raw score is from the mean.

a. The distribution of X with a mean and standard deviation of 16 and 2.5 years is a normal distribution, therefore; X ~ N(16, 2.5)

b. The probability that an indoor cat dies when it is between 16.9 and 18.5 can be found as follows;

The z-scores for the two ages are;

z-score for 16.9 years z = (16.9 - 16)/2.5 = 0.36

z-score for 18.4 years z = (18.4 - 16)/2.5 = 0.96

The standard normal table can be used to find the area under the standard normal curve as follows;

P(z < 0.36) = 0.64058

P(z < 0.96) = 0.83147

Therefore; P(0.36 < z < 0.96) = 0.83147 - 0.64058 = 0.19089

The probability that the age at which an indoor cat dies is between 16.9 and 18.4 years is about 0.19089

c. The z-score that corresponds to the lower and upper bounds of the middle 30% of the standard normal distribution, can be found as follows;

The middle 30% is symmetrical about the mean, we get;

The lower bound is the z-score for which 35% of the distribution are located, and 35% are upper bound is the z-score for which 35% of the distribution are located to the right. Using an online calculator, we get;

The lower bound z-score = -0.385

The upper bound z-score = 0.385

The raw score values are therefore;

z = (x - μ)/σ

x = zσ + μ

The lower bound value for X = 16 + 2.5 × -0.385 = 15.0375 ≈ 15.04

The upper bound value for X = 16 + 2.5 × 0.385 = 16.9625 ≈ 16.96

The ages between which the middle 30% of indoor cats dies are therefore about 15.04 and 16.96 years

Learn more on z-scores here: https://brainly.com/question/14116841

#SPJ1


Related Questions

What terms do not apply to a rhombus

Answers

The terms that do not apply to a rhombus are:

Right angle: A rhombus does not have any right angles. Its angles are typically acute or obtuse, but never right angles.

Perpendicular sides: In a rhombus, the opposite sides are parallel to each other, but they are not perpendicular. Perpendicular sides are characteristic of rectangles and squares.

The terms that do not apply to a rhombus are:

Right angle: A rhombus does not have any right angles. Its angles are typically acute or obtuse, but never right angles.

Perpendicular sides: In a rhombus, the opposite sides are parallel to each other, but they are not perpendicular. Perpendicular sides are characteristic of rectangles and squares.

Congruent angles: While the opposite angles in a rhombus are equal to each other, the adjacent angles are not necessarily congruent. Congruent angles are a characteristic of rectangles and squares.

Right triangle: A rhombus does not contain any right angles, so it cannot be classified as a right triangle. A right triangle is a triangle that has one right angle.

Equilateral: A rhombus is not an equilateral polygon. An equilateral polygon has all sides of equal length, while a rhombus has all sides equal in length but does not require all angles to be equal.

It's important to note that a rhombus is a quadrilateral with opposite sides that are parallel and equal in length, but it does not possess the characteristics mentioned above.

For such more questions on  terms for rhombus

https://brainly.com/question/21544110

#SPJ8

A new city park will have a path from the southeast corner to the northwest corner. The shape of the park is rectangular. With the information given, determine how many yards long the path will be. The rectangles length is 50 yd and the width is 120 yd

Answers

The length of the path is 130 yards

How to determine the value

To determine the value of the path, c, we need to know the Pythagorean theorem

Using the Pythagorean theorem which states that the square of the longest leg of a triangle is equal to the sum of the squares of the other two sides of the triangle.

In this case, we have that;

c² = length² + width²

Substitute the values from the information given, we have that;

c² = 50²+ 120²

Find the squares, we get;

c² = 2500 + 14, 400

add the values, we get;

c² = 16900

c = 130 yards

Learn more about Pythagorean theorem at: https://brainly.com/question/654982

#SPJ1

What is different about multiplying and dividing two signed numbers?

Answers

Multiplying two signed numbers results in a product, and the sign of the product depends on the signs of the multiplied numbers.

Multiplying and dividing two signed numbers differ in terms of the rules and properties that apply to each operation. Here are the key differences:

1. Product vs. Quotient:

When multiplying two signed numbers, the result is called the product. It represents the total of repeated addition or combining equal groups. For example, multiplying -3 by -4 gives a product of 12.

When dividing two signed numbers, the result is called the quotient. It represents the ratio or partitioning of one quantity into equal parts. For example, dividing 12 by -4 gives a quotient of -3.

2. Signs of the Result:

In multiplication, the sign of the product depends on the signs of the multiplied numbers. If the signs are the same (both positive or both negative), the product is positive. If the signs are different (one positive and one negative), the product is negative. For example, (-3) * (-4) = 12, and (-3) * 4 = -12.

In division, the sign of the quotient depends on the signs of the dividend and divisor. If both numbers have the same sign, the quotient is positive. If the numbers have different signs, the quotient is negative. For example, 12 / (-4) = -3, and (-12) / (-4) = 3.

3. Properties:

Multiplication has properties like the commutative property (changing the order of the factors doesn't change the product) and the associative property (changing the grouping of factors doesn't change the product). For example, (-3) * (-4) = (-4) * (-3) = 12.

Division, on the other hand, has specific properties like the division property of zero (dividing any number by zero is undefined) and the division property of one (dividing a number by one leaves the number unchanged). For example, 12 / 1 = 12.

In summary, multiplying two signed numbers results in a product, and the sign of the product depends on the signs of the multiplied numbers. Dividing two signed numbers results in a quotient, and the sign of the quotient depends on the signs of the dividend and divisor. Additionally, multiplication has properties like commutativity and associativity, while division has properties specific to the division operation.

for more such question on product visit

https://brainly.com/question/30284183

#SPJ8

Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution.
Suppose that in a certain video game there is a 1.9% item drop rate of frozen rain after defeating a Frigid Element.
What is the probability that 2 frozen rains will drop if 20 Frigid Elements are defeated?
n=
p=
q=
X =

Answers

The probability of obtaining exactly 2 frozen rains after defeating 20 Frigid Elements in the video game is approximately 0.2713 or 27.13%.

q = 1 - p

q = 1 - 0.019

q = 0.981

X: The number of successful outcomes.

In this scenario, we can model the situation using a binomial distribution. Let's determine the values of n, p, q, and X:

n: The number of trials or attempts.

In this case, the number of trials is the number of Frigid Elements defeated, which is given as 20.

n = 20

p: The probability of success on a single trial.

The probability of a frozen rain item dropping after defeating a Frigid Element is given as 1.9%, which can be expressed as 0.019.

p = 0.019

q: The probability of failure on a single trial.

The probability of failure is the complement of the probability of success. Therefore:

q = 1 - p

q = 1 - 0.019

q = 0.981

X: The number of successful outcomes.

We want to find the probability of 2 frozen rains dropping, so X is 2.

X = 2

Now that we have determined the values, we can calculate the probability using the binomial distribution formula. The formula for the probability mass function of the binomial distribution is:

P(X = x) = [tex](nCx) * (p^x) * (q^(n-x))[/tex]

where nCx represents the binomial coefficient, which is the number of ways to choose x successes out of n trials.

Using this formula, we can substitute the values into the equation:

P(X = 2) = [tex](20C2) * (0.019^2) * (0.981^(20-2))[/tex]

Calculating the binomial coefficient:

(20C2) = (20!)/(2!(20-2)!)

= (20 * 19 * 18!)/(2 * 18!)

= (20 * 19)/(2 * 1)

= 190

Now substituting the values:

P(X = 2) = [tex]190 * (0.019^2) * (0.981^18)[/tex]

Now we can calculate the probability:

P(X = 2) ≈ 0.2713 or 27.13% (rounded to two decimal places)

Therefore, the probability of obtaining exactly 2 frozen rains after defeating 20 Frigid Elements in the video game is approximately 0.2713 or 27.13%.

For such more questions on Prob of 2 FRains

https://brainly.com/question/29127119

#SPJ8

Find the derivative of f(x) = 6x + 1 at x = 2

Answers

The derivative of f(x) = 6x + 1 at x = 2 is 6, obtained through the limit definition of the derivative.

To find the derivative of f(x) = 6x + 1 at x = 2, we can use the formula for the derivative of a function: f'(x) = lim(h → 0) [f(x + h) - f(x)]/h

We substitute x = 2 into the formula to get: f'(2) = lim(h → 0) [f(2 + h) - f(2)]/h

We plug in f(x) = 6x + 1: f'(2) = lim(h → 0) [(6(2 + h) + 1) - (6(2) + 1)]/h

Simplifying the expression:

f'(2) = lim(h → 0) [(12 + 6h + 1) - (12 + 1)]/h

      = lim(h → 0) (6h)/h = lim(h → 0) 6

The limit of 6 as h approaches 0 is simply 6. Therefore, the derivative of f(x) = 6x + 1 at x = 2 is f'(2) = 6.

The derivative of f(x) = 6x + 1 at x = 2 is 6.

In mathematics, a derivative is the rate at which a function changes in relation to a variable. Calculus and differential equations issues must be solved using derivatives.

For more question derivatives

https://brainly.com/question/23819325

#SPJ8

a factory makes lightbulbs. the probability that a bulb is defective is 1/9. if 400 lightbulbs are tested, about how many are expected to be defective

Answers

Answer:

45.

Step-by-step explanation:

so every 1/9 lightbulbs are defective, so make that L/400, (L for amount of defective bulbs).

Take the total, 400, and divide it by 9, which equals 44.4444444444. Evaluate 44.4444444444/400 and you get 0.11111111111. Evaluate 1/9, and you get 0.11111111111. So they are equivalent. But you cant have 44.4444444444 lightbulbs defective, because you can't have a lightbulb 40% defective, it either works, or doesn't work. So, round your answer up, and you get 45 total defective lightbulbs if they make 400.

Sara and Steve each bought a pair of pants and some socks .The pants that they purchased cost the exact same amount and the pair of socks are also the same amount.

Sara paid $60 for one pair of pants and two pairs of socks

Steve paid $75 for one pair of pants and three pairs of socks

What was the cost of 1 pair of pants?

Equations

1P+2S=60

1P+3S=75

Answers

Answer:

These are two linear equations with two unknowns, P (price of pants) and S (price of socks). You can solve them by using either substitution or elimination methods.

Let's use the elimination method.

First, let's subtract the second equation from the first:

1P + 2S - (1P + 3S) = 60 - 75

After simplifying this, we get:

-1S = -15

Dividing both sides by -1, we find:

S = 15

Now, we can substitute S = 15 into the first equation to find the price of pants (P):

1P + 2(15) = 60

1P + 30 = 60

Subtract 30 from both sides to get:

1P = 60 - 30

1P = 30

So, the price of one pair of pants (P) is $30.

In the quadrilateral below, angles DAB and BCD are the same size. What is the size of angle DAB? A D 226° 38° B​

Answers

The size of angle DAB in the quadrilateral is 48°.

How to find the size of angle DAB?

The sum of the interior angles of a quadrilateral is 360°. We can say:

[tex]\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ[/tex]

[tex]\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ[/tex]

[tex]\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ[/tex]

[tex]\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ[/tex]

[tex]\angle \text{A} + \angle\text{C} = 96[/tex]

Since angles DAB and BCD are the same size. This implies ∠A  = ∠C. Thus:

[tex]\angle\text{A} + \angle\text{A} = 96[/tex]

[tex]2\angle\text{A} = 96[/tex]

[tex]\angle\text{A} = \dfrac{96}{2}[/tex]

[tex]\angle\text{A} = 48^\circ[/tex]

Therefore, the size of angle DAB is 48°.

Learn more about quadrilateral on:

https://brainly.com/question/32021364

please help with the questions on the photo

Answers

a. The relative frequency of landing on the number 4 is 0.24

b. The relative frequency of landing on a prime number is 0.20

What is relative frequency?

Relative frequency is the ratio of the frequency of a particular event in a statistical experiment to the total frequency.

This means to find the relative frequency of a particular outcome of an event, we divide the frequency of the event with the total frequency.

Here, the total frequency is

= 14+9+6+12+4+5

= 50

a. The frequency of 4 is 12

therefore the relative frequency of landing on 4 =

12/50 = 0.24

b. A prime number is a number that can only be divided by itself. Therefore 3 and 5 are the prime numbers in the outcome.

landing on 3 = 6/50 = 0.12

landing on 5 = 4/50 = 0.08

On a prime number = 0.12 + 0.08

= 0.20

learn more about relative frequency from

https://brainly.com/question/3857836

#SPJ1

f(x)=x-1. Find the inverse of f(x).

Answers

Answer: D

Step-by-step explanation: X is being subtracted by 1 so it will now add 1 in the inverse

Evaluate, 7×2+(7+3×(5-2)÷4×2

Answers

Answer:

19m75

Step-by-step explanation:

Solution:

To evaluate the expression 7×2+(7+3×(5-2)÷4×2), we need to follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Step 1: First, we need to simplify the expression inside the parentheses.

5-2 = 3

3÷4 = 0.75

3×0.75 = 2.25

7+2.25 = 9.25

Step 2: Next, we need to simplify the multiplication and division from left to right.

3×2 = 6

0.75×2 = 1.5

Step 3: Finally, we need to simplify the addition and subtraction from left to right.

7×2+9.25+6-1.5 = 19.75

Therefore, the value of the expression 7×2+(7+3×(5-2)÷4×2) is 19.75.

A piece of buttered toast falls to the floor 26 times. The toast landed buttered side up 9 times. Which statement below is correct?
A. The experimental probability that the toast lands buttered side up is 17/26.
B. A simulation could be carried out using odd digits to represent the buttered side landing up and even digits representing the buttered side landing down.
C. The experimental probability that the toast lands buttered side down is 17/26.
D. The theoretical probability that the toast lands buttered side up is 9/26.

Answers

Answer:

D. The theoretical probability that the toast lands buttered side up is 9/26.

Forgive me if im wrong....

Step-by-step explanation:

Tenjing bought two television at rs 52000 he is sold one of them at 10% profit and another at 10% loss if the selling price of both the television are same find its total gain or loss percentage in the transaction​

Answers

the transaction results in a net gain.Net gain percentage = Net gain / Total cost price × 100%=(2SP - 52000) / 52000 × 100%Now, we can use the above expressions to calculate the total gain or loss percentage in the transaction.

Let's assume that the cost price of the first television set is CP1 and that of the second is CP2. As per the given information, the total cost price of both television sets is 52000 rupees.

Therefore, CP1 + CP2 = 52000Assuming the selling price of both television sets is the same, let's assume it to be SP for convenience. Selling price is defined as the price at which a product is sold to the customer. Therefore, the selling price of both television sets will be SP.

Now, we have to calculate the net gain or loss percentage in the transaction.Gain or loss is calculated as the difference between the selling price and cost price.

Gain or loss on the first television set is 10% of CP1, and the gain or loss on the second television set is 10% of CP2. Therefore,Gain or loss on the first television = 10/100 × CP1 = 0.1CP1Loss or gain on the second television = 10/100 × CP2 = 0.1CP2The selling price of both television sets is the same.

Therefore,Selling price of the first television = SPSelling price of the second television = SPThe selling price of both television sets combined is:Selling price of both television sets = SP + SP = 2SPNow, let's calculate the net gain or loss percentage in the transaction.

Net gain or loss = Selling price - Cost price= (SP + SP) - (CP1 + CP2)= 2SP - 52000Now, we need to determine whether the transaction resulted in a gain or a loss. We know that the gain or loss on the first television is 0.1CP1, and the gain or loss on the second television is 0.1CP2.

Let's consider two

cases:Case 1: When CP1 < CP2 (the cost price of the first television is less than that of the second television)In this case, the gain on the first television is less than the loss on the second television, as 0.1CP1 < 0.1CP2. Therefore, the transaction results in a net loss.

Net loss percentage = Net loss / Total cost price × 100%=(2SP - 52000) / 52000 × 100%

Case 2: When CP1 > CP2 (the cost price of the first television is greater than that of the second television)In this case, the gain on the first television is greater than the loss on the second television, as 0.1CP1 > 0.1CP2.

for more such questions on percentage

https://brainly.com/question/24877689

#SPJ8

Use the table, along with dimensional analysis to convert the given square unit indicated.
14cm^2 to in^2

Answers

To convert 14 cm² to in² using dimensional analysis, we can use the following conversion factors:

1 cm = 0.393701 in (exact conversion factor)

1 in = 2.54 cm (exact conversion factor)

We want to convert cm² to in², so we need to use the conversion factor that relates cm² to in². This is:

1 cm² = (0.393701 in)² = 0.15500031 in² (approximate conversion factor)

To set up the dimensional analysis, we start with the given quantity and multiply it by the appropriate conversion factors so that the units cancel out and we are left with the desired units. We can set it up as follows:

14 cm² * (0.15500031 in² / 1 cm²) = 2.17000434 in² (approximate answer)

Therefore, 14 cm² is approximately equal to 2.17000434 in².

need help please ion get it

Answers

Answer:

Step-by-step explanation:

d

Find the value of x.

Answers

Answer:

x=7

Step-by-step explanation:

Assuming the angles to be congruent, then 7 and x are both congruent sides, which makes the figure an isosceles triangle. Therefore, x=7 as well.

The answer is 7 because it is an isosceles triangle so the other side is equal.

A 5-inch candle burns down in 10 hours. After how many hours will it have burned 3 1/4 ​inches?

Answers

[tex]\begin{array}{ccll} inches&hours\\ \cline{1-2} 5&10\\[1em] 3\frac{1}{4}&x \end{array}\implies \cfrac{5}{ ~~ 3\frac{1}{4} ~~ }=\cfrac{10}{x}\implies \cfrac{5}{~~ \frac{ 13 }{ 4 } ~~}=\cfrac{10}{x}\implies \cfrac{20}{13}=\cfrac{10}{x} \\\\\\ 20x=130\implies x=\cfrac{130}{20}\implies x=\cfrac{13}{2}\implies x=6\frac{1}{2}[/tex]

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Answers

Answer:  (x² - 5)(x - 7)

Step-by-step explanation:

Grouping the terms, we have:

(x^3 - 7x^2) + (-5x + 35)

Now, let's factor out the common factors from each pair:

x^2(x - 7) - 5(x - 7)

Notice that we have a common factor of (x - 7) in both terms. We can factor it out:

(x^2 - 5)(x - 7)

Therefore, the resulting expression after factoring by grouping is (x^2 - 5)(x - 7).

State the expression for finding Tn the n th term in the sequence what is the Tn

Answers

The 8th term of the given Sequence is 26.

A sequence is a list of numbers arranged in a particular order. It can be finite or infinite. The nth term of a sequence is represented by Tn.

It can be found using the formula: Tn = a + (n-1)d, where a is the first term, d is the common difference and n is the number of terms being considered.

If we know any three of the terms, we can use the formula to find the fourth term. Let's consider an example to understand this concept better. Example: Find the 8th term of the sequence 5, 8, 11, 14,...Solution:

We can see that the first term of the sequence is 5. Also, the common difference between the terms is 3. Using the formula Tn = a + (n-1)d, we get:T8 = 5 + (8-1)3T8 = 5 + 21T8 = 26

Therefore, the 8th term of the given sequence is 26.

For more questions on Sequence .

https://brainly.com/question/30762797

#SPJ8

Given the diagram below, find the value for x. Enter a number only.

Answers

Answer:

x=4

Step-by-step explanation:

angles on a straight line always add up to 180°

so...

25x+20+15x=180°

simplify the left side of the equation

40x+20=180°

take away 20

40x=160°

divide by 40

x=4

what is one and half right angle​

Answers

Answer: 135°

Step-by-step explanation:

1 and 1/2 right angle.

1 right angle is 90°

1/2 of a right angle = 45°

so 1 and 1/2= 90+45=135°

You deposit $2000 each year into an account earning 8% interest compounded annually. How much will you have in the account in 25 years?

Answers

Answer:

157908.83

Step-by-step explanation:

RD formula is :

[tex]P(1+\frac{r}{m} ) [(1+\frac{r}{m} )^{N} -1 }]{\frac{m}{r}[/tex]

where P: Principal / rd amount = $2000

r : interest = 8% = 0.08

m : no. of times compounded in a year = 1 (compounded annually)

N : time = 25 years

Amt =

[tex]2000(1+\frac{0.08}{1} ) [(1+\frac{0.08}{1} )^{25} -1 }]{\frac{1}{0.08}[/tex]

[tex]= 2000(1.08) [1.08^{25} -1 }]{\frac{1}{0.08}[/tex]

= 157908.83

A bag contains 7 red, 12 white and 4 green balls. Three balls are drawn randomly. What probability that (a) 3 balls are all white (b) 3 balls are one of each color (c) 3 balls are same color​

Answers

a). Probability (3 balls are all white) = 220/1771 = 0.124

b). Probability of drawing one ball of each color = 336/1771 = 0.19

c). Probability of drawing 3 balls of the same color = 259/1771 = 0.146

Therefore:

(a) Probability of drawing 3 white balls:

Total number of balls = 7 red + 12 white + 4 green = 23 balls

Number of favorable outcomes = selecting 3 white balls = 12C3 = (12!)/(3!(12-3)!) = 220

Total number of possible outcomes = selecting 3 balls from 23 = 23C3 = (23!)/(3!(23-3)!) = 1771

So, Probability of drawing 3 white balls = Number of favorable outcomes / Total number of possible outcomes

P(3 white balls) = 220/1771 = 0.124

b). Probability of drawing one ball of each color:

Number of favorable outcomes = selecting 1 ball of each color = 7C1 × 12C1 × 4C1 = 7 × 12 × 4 = 336

Total number of possible outcomes (as calculated above) = 1771

Probability of drawing one ball of each color = Number of favorable outcomes / Total number of possible outcomes

P(1 ball of each color) = 336/1771 ≈ 0.19

C. Total number of favorable outcomes = 35 + 220 + 4 = 259

Total number of possible outcomes (as calculated above) = 1771

Probability of drawing 3 balls of the same color = Number of favorable outcomes / Total number of possible outcomes

P(3 balls of the same color) = 259/1771 = 0.146

Learn more about Probability here

https://brainly.com/question/13604758

#SPJ1

On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:

The x-coordinate is
.
The y-coordinate is
.
The point is in quadrant
.
.

Answers

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

In which quadrant is the point?

First, remember that for a point (x, y):

if x >0, y > 0, then the point is in quadrant I.if x <0, y > 0, then the point is in quadrant II.if x < 0, y < 0, then the point is in quadrant III.if x >0, y < 0, then the point is in quadrant IV.

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

Learn more about quadrants:

https://brainly.com/question/863849

#SPJ1

Two numbers are in the ratio 10: 16. When 4 is added to each, the ratio of resulting numbers is 4 to 6. Find the numbers​

Answers

The two numbers are 20 and 32.

Let's assume the two numbers in the ratio 10:16 are 10x and 16x, where x is a common factor.

According to the given information, when 4 is added to each number, the ratio becomes 4:6. This means that the new numbers are (10x + 4) and (16x + 4).

To find the numbers, we can set up an equation based on the given ratios:

(10x + 4) / (16x + 4) = 4/6

To simplify the equation, we can cross-multiply:

6(10x + 4) = 4(16x + 4)

Expanding both sides:

60x + 24 = 64x + 16

Bringing like terms together:

60x - 64x = 16 - 24

-4x = -8

Dividing both sides by -4:

x = 2

Now that we have the value of x, we can substitute it back into the original ratios to find the numbers:

The first number = 10x = 10 * 2 = 20

The second number = 16x = 16 * 2 = 32

Therefore, the two numbers are 20 and 32.

To learn more about numbers

https://brainly.com/question/25734188

#SPJ8

Answer:

Let the two numbers be 10x and 16x.

When 4 is added to each, the resulting numbers are (10x + 4) and (16x + 4).

According to the problem, the ratio of (10x + 4) to (16x + 4) is 4:6.

We can write this as:

(10x + 4)/(16x + 4) = 4/6

Cross-multiplying, we get:

6(10x + 4) = 4(16x + 4)

Simplifying the equation, we get:

60x + 24 = 64x + 16

48 = 4x

x = 12

Therefore, the two numbers are:

10x = 120

16x = 192

So the two numbers are 120 and 192.

A three-column table is given.


Part A C D
Part 14 28 63
Whole B 40 90


What is the value of B in the table?

Answers

B is equal to 20.

If we look at each of the collumns,
28 is 70% of 40.
63 is also 70% of 90.

Therefore, we can reverse this action and see that if we take 70% of 20 it is equal to 14

In sampling distributions the mean is consistently _____ the population mean
A. Lower than
B. Higher than
C. Identical to
D. Unrelated to

Answers

In sampling distributions, the mean is consistently identical to the population mean. (Option C)

This concept is a fundamental property of sampling distributions and is rooted in the principles of probability and statistical theory. A sampling distribution is a theoretical distribution that represents the possible values of a statistic (such as the mean or proportion) calculated from different samples drawn from the same population. The mean of a sampling distribution is an average of the sample means, and it provides an estimate of the population mean.

When random samples are drawn from a population, the mean of each sample will vary due to random sampling variability. However, as the sample size increases, the distribution of sample means tends to converge around the population mean. This phenomenon is known as the Central Limit Theorem.

According to the Central Limit Theorem, as sample sizes become large (typically n > 30), the sampling distribution of the mean becomes approximately normal, with a mean that is identical to the population mean. In other words, on average, the sample means will be equal to the population mean. This property holds true regardless of the shape, spread, or other characteristics of the population distribution.

Therefore, the correct answer is C. Identical to.

Know more about the mean here:
https://brainly.com/question/1136789

#SPJ8

sarah was cutting fabric for a quilt. she cut 5 pieces that were 19 1/8 inches long. when she finished cutting she had a piece that was 2 1/4 inches long. how long was the piece she cut for the quilt.

Answers

The length of the fabric Sarah cut for the quilt is 97.875 inches.

To determine the length of the fabric Sarah cut for the quilt, we need to add up the lengths of the individual pieces she cut.

Number of pieces cut: 5

Length of each piece: 19 1/8 inches

Length of the remaining piece: 2 1/4 inches

To find the total length, we can multiply the length of each piece by the number of pieces and add the length of the remaining piece.

Length of each piece = 19 1/8 inches = 19 + 1/8 inches = 19.125 inches

Length of the remaining piece = 2 1/4 inches = 2 + 1/4 inches = 2.25 inches

Total length = (Length of each piece) [tex]\times[/tex] (Number of pieces) + Length of the remaining piece

Total length = 19.125 inches [tex]\times[/tex] 5 + 2.25 inches

Total length = 95.625 inches + 2.25 inches

Total length = 97.875 inches

For similar question on length.

https://brainly.com/question/28108430  

#SPJ8

Solve the formula Ax+ By= C for x.
Solve for x

Answers

Answer:

A) [tex]x=\frac{C-By}{A}[/tex]

Step-by-step explanation:

[tex]Ax+By=C\\Ax=C-By\\x=\frac{C-By}{A}[/tex]

One month Jina rented 6 movies and 2 video games for a total of $30. The next month she rented 3 movies and 5 video games for a total of $36. Find the
rental cost for each movie and each video game.
Rental cost for each movie:
$11
Rental cost for each video game: $
X
Ś

Answers

Answer:

Rental cost for each movie = $3.25

Rental cost for each video game = $5.25

Step-by-step explanation:

We can find the rental cost for each movie and each video game using a system of equations where:

M represents the rental cost for each movie,and V represents the rental cost for each video game.

First equation:

Since Jina rented 6 movies and 2 video games for a total of $30, our first equation is given by:

6M + 2V = 30

Second equation:

Since Jina also rented 3 movies and 5 video games for a total of $36, our second equation is given by:

3M + 5V = 36

Method to solve:  Elimination:

We can solve this with eliminate.  First, we need to multiply the second equation by -2.  Then, we must add the two equations to eliminate the Ms and solve for V:

Multiplying the entire second equation by -2:

-2(3M + 5V = 36)

-6M - 10V = -72

Adding the two equations:

    6M + 2V = 30

+

   -6M - 10V = -72

(6M - 6M) + (2V - 10V) = (30 - 72)

-8V = -42

Solving for V:

(-8V = -42) / -8

V = 5.25

Thus, the rental cost for each video game is $5.25.

Solving for M:

We can now find M by plugging in 5.25 for V in any of the two equations in our system.  

Let's use the first equation:

Plugging in 5.25 for V in 6M + 2V = 30 to solve for M:

6M + 2(5.25) = 30

(6M + 10.50 = 30) - 10.50

(6M = 19.50) / 6

M = 3.25

Thus, the rental cost for each movie is $3.25.

Other Questions
A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 5 lipsticks? Leave the answer in terms of . 18 square inches 14.4 square inches 11.3 square inches 2.26 square inchesA makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 5 lipsticks? Leave the answer in terms of . 18 square inches 14.4 square inches 11.3 square inches 2.26 square inches Is the sequence an = = 2 +9n arithmetic? Your answer is (input yes or no): yes If your answer is yes, its first term is 1 # Instructions: modify only the sections of the code 2 3 4 5 6 import random # Recursive Max # > Finds the max value in a list # > Max value search starts from beginning of the list 7 v def maxValue(list, i, max): 9 10 11 if return max elif _?_: return else: return _?_ 12 13 14 15 A recent study found that 70% of college students at Queen University are on a sports team. Suppose that 7 students are randomly selected for a study.1) Find the mean number of students that participate in college athletics. (Exact answer).2) Find the standard deviation of this binomial distribution. (Round to 3 decimal places as needed).3) Find the probability that exactly 6 students participate in college athletics. (Round to 3 decimal places as needed).4) Find the probability that 5 or fewer students participate in college athletics. (Round to 3 decimal places as needed).5) Find the probability that 6 or more students participate in college athletics. (Round to 3 decimal places as neede Read each scenario and discuss whether the 4 elements of negligence are present in each of these:a. As a college prank, Carolyn decides to remove a stop sign from an intersection and put it in her dorm room. She chooses a stop sign on a little-used country road several miles out of town. The next night, a motorist from out of state drives through this intersection and is struck by an oncoming car. Both motorists are injured and their cars are demolished.b. A passenger in a car orders coffee at a drive-through restaurant. While the car was stopped, she attempted to remove the lid to add cream and sugar. The coffee spilled and caused third-degree burns to 6% of her body. She had to spend eight days in the hospital and undergo skin graft operations. The restaurant served their coffee at 180 F, even though anything over 140 could cause burns.c. The janitors in a large apartment building wax the lobby floor and place a large sign that says: "Caution: Wet floors." A tenant slips and falls on the freshly waxed floor and is shaken up, but not seriously injured.d. Lance is a sixteen-year old high school junior. He throws a party at his house on a Saturday night when his parents are out of town. He takes alcohol from their cupboard and serves it to his guests. He doesnt really pay attention to whether or not they are drinking. He sees Abby finish a beer and grab her car keys to leave. Stefan leaves with Abby for a ride home. Lance watches Abby drive away with Stefan in the passenger seat. As Abby pulls onto the highway, she swerves and hits another car head-on. Stefan is seriously injured.e. Olivia and her friends go to an amusement park, and she decides to ride the scariest roller coaster. After each rider is seated, the attendant secures that rider with a safety bar. Olivia tells her friends that she does not need the safety bar and detaches it. She is thrown from the roller coaster and is badly hurt. Suppose instead of Chernoff faces you use house drawings torepresent objects. Describefive features from the drawing you would use to represent theobjects. p = Roses are red and q = Violets are blue then the statement "roses are not red and voilets are not blue" can be represented as Select one: O a. ~pV~q O b. p Aq O c. ~(p^q) O d. ~p~q D Zytel Corporation produces cleaning compounds and solutions for industrial and household use. While most of its products are processed independently, a few are related. Grit 337, a coarse cleaning powder with many industrial uses, costs $1.60 a pound to make and sells for $2.80 a pound. A small portion of the annual production of this product is retained for further processing in the Mixing Department, where it is combined with several other ingredients to form a paste, which is marketed as a silver polish selling for $4.20 per jar. This further processing requires 1/4 pound of Grit 337 per jar. Costs of other ingredients, labor, and variable overhead associated with this further processing amount to $2.40 per jar. Variable selling costs are $0.60 per jar. If the decision were made to cease production of the silver polish, $8,300 of Mixing Department fixed costs could be avoided. Zytel has limited production capacity for Grit 337, but unlimited demand for the cleaning powder. Remaining time. Question 2 Which of the following is not one of the advantages of digital communications over analog communications? Your answer: O Encryption is possible with digital O Communication over longer distances possible with digital O Reception with a lower-cost circuit is possible with digital O Modulation is possible with digital O Compression is possible with digital Clear answer Submit Find a formula for the general term a_n of the sequence assumingthe pattern of the first few terms continues.{2,3,8,13,18,...}Assume the first term is a1. A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110 , and the sample standard deviation, s, is found to be 10 . (a) Construct a 90% confidence interval about if the sample size, n, is 20 . (b) Construct a 90% confidence interval about if the sample size, n, is 29. (c) Construct a 96% confidence interval about if the sample size, n, is 20 . (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 90% confidence interval about if the sample size, n, is 20 . Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.) Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d=aab where a=QR and b=QP Use the above formula to find the distance from the point to the given line. (5,2,1);x=2+t,y=13t,z=42t d= Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordered pair. S(x) = 5x + 4 D(x) = 672x Answer (XE,PE) : = The function s=f(t) gives the position of an object moving along the s-axis as a function of time t. Graph f together with the velocity function v(t)=ds/dt=f'(t) and the acceleration function a(t)=d^2s/dt^2=f''(t), then complete parts (a) through (f). s=152t-16t^2, 0t9.5 (a heavy object fired straight up from Earth's surface at 152 ft/sec) The elders of Candyville have passed a by-law saying that all the children of the town must have a chance to gain some candy treats after school (but don't worrythe candies are made with veggies and the children love them). The elders have placed candy vending machines all around the town for the children to access after school. To encourage sharing, there are some rules to be followed when a child uses one of these vending machines.Rule 1: The child must bring two friends with them to the vending machine and they must all have some candy already that they are willing to share if need be. They must each have an even number of candy to start with.Rule 2: The child must be wearing either red or blue or yellow shoes, and their two friends must be wearing one of the other colours of shoes, but all the children must all have different colour shoes on.Rule 3: The child must tell the vending machine their name, what colour shoes they have on, and how many candies they, and each of their friends, currently have.Rule 4: The vending machine will randomly generate a number representing a colour (1=red, 2=blue, or 3=yellow) and the vending machine will the display the actual colour name, rather than the number.Rule 5: The vending machine will dispense (display) a randomly generated even number of candies (an even number between 2 and 20, inclusive).Rule 6: If the random colour generated by the vending machine is the same colour as the child's shoes, the child must divide their randomly generated and dispensed number of candies among their two friends, half to each. The child can retain all of their own candies that they had before they went to the vending machine.Rule 7: If the random colour generated by the vending machine is not the same colour as the shoes that the child is wearing, both friends must give the child half of their candy, and the child gets to keep the candy dispensed by the vending machine as well.Write a Python program to simulate the workings of this vending machine and report, at the end, how many candy and what percentage of candy the three children have, with appropriate labels. For What Values Of X In [0,2] Does The Graph Of Y=2+Sinxcosx Have A Horizontal Tangent? List The Smaller Value Of X Write the null and alternative hypotheses for the following example. Determine if the example is a case of a two-tailed, a left-tailed, or a right-tailed test. To test if the mean number of hours spent working per week by college students who hold jobs is different from 20 hours.a) H0: = 20 hrs, H1: < 20 hrs, two tailed test.b) H0: = 20 hrs, H1: 20 hrs,two tailed test.c) H0: = 20 hrs, H1: > 20 hrs, right hand tailed test.d) H0: = 20 hrs, H1: < 20 hrs, left hand tailed test.e) H0: = 20 hrs, H1: 20 hrs, right hand tailed test. Read the claim from Dan DeLuca's editorial "Dylan's Nobel Prize Settles Debate: Rock Lyrics Are Poetry."Are rock lyrics poetry? The answer must be yes.Which excerpt from the article provides evidence that supports this claim?"The Swedish Academy's decision to honor Dylan set off an online debate.""Salman Rushdie, a Nobel candidate himself, called Dylan the brilliant inheritor of the bardic tradition.""Dylan is of course enormously influential.""The Nobel is given for a body of work." Question 19 Not yet answered Marked out of 1.00 Flag question Suppose that production for good X is characterized by the following production function, Q=K0.5L0.5, where K is the fixed input in the short run. If the per-unit rental rate of capital, r, is $15 and the per-unit wage, w, is $25, then the average fixed cost of using 9 units of capital and 81 units of labor is: Select one: O A. $75. O B. $80. O C. $5. D. There is insufficient information to determine the average fixed costs. Suppose that production for good X is characterized by the following production function, Q=K0.5L0.5, where K is the fixed input in the short run. If the per-unit rental rate of capital, r, is $25 and the per-unit wage, w, is $15, then the average variable cost of using 81 units of capital and 9 units of labor is: Select one: A. $75. B. $5. O C. $80. D. There is insufficient information to determine the average variable costs. I need some help with this assignment ASAP!I need to brainstorm some ideas for a city that we have to build, but I can't think of any! Please help me!!!The questions to think about are: why is soil so important? What is soil erosion?What human activities are responsible for soil erosion happening at advanced rates?What are some of the effects of soil loss?The first one to help me get this, i'll make brainly.