An elevator goes from the 124th floor to the 8th floor of a sky scraper in 40 seconds. The elevator travels at constant speed. What is the elevator’s rate of change in floors per second?

Answers

Answer 1

The Elevator’s rate of change is found to be 3 floors per second using the given data.

What is the most basic definition of rate?Rate is the pace at which an object's location changes in any direction. Rate is defined as the ratio of distance traveled to time spent traveling. Speed is classified as a scalar quantity since it has just one direction and no magnitude.

What is the speed calculation?

Speed (or rate, r) is a scalar number that represents the distance traveled (d) divided by the change in time (t) by the equation r = d/t.

Given: In 40 seconds, an elevator travels from the 124 floor to the 8 floor of a skyscraper. The elevator maintains a constant speed.

We know that,

Rate = Distance/Time

Elevator’s rate of change = (124-8)/40

                                          = 116/40

                                           = 2.9 ≈ 3 floors per second

Therefore, the Elevator’s rate of change  is found to be 3 floors per second using the given data.

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Related Questions

help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The amount owed at the end of the 6 years duration is $10865

How to determine the amount owed in six years?

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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a solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. an industrial tank of this shape must have a volume of 2880 cubic feet. the hemispherical ends cost twice as much per square foot of surface area as the sides. find the dimensions that will minimize the cost.

Answers

The dimensions that minimize the cost of building the tank are r ≈ 6.5 ft and h ≈ 26 ft

What do you mean by cost?

The cost is the sum of money that a business spends on the development or manufacturing of goods or services. It excludes the profit margin markup. The sum of money spent to create a good or product, as seen from the seller's perspective, is the cost.

The total cost becomes

T = ucSc + 2ucSh

   = 2ucπrh + 8ucπr²

We need to eliminate h . The volume from the question gives a way out.

4640 = 4/3πr³ + πr²h

  h = 4640/πr² - 4r/3

substitute into the formula for total cost gives, after simplifying

  T =  16ucπr²/3 +  9280uc/r²

differentiating with respect to r , we get

  dT/dr = 32/3Ucπr - 9280Uc/r²

at extrema

dT/dr = 0

⇒ 32/3Ucπr = 9280Uc/r²

 r = ∛870/π ≈ 6.5 ft

To confirm that r is a minimum value, carry out the second derivative test

   d²T/dr² = 32Ucπ/3 +  18560/r³

substituting ∛870/π, we get that d²T/dr² > 0  confirming that minimum value

To find h , recall that

 h = 4640/πr² - 4r/3

substituting r , we get h ≈ 26.0 ft as the corresponding minimum height.

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Determine which set of statements is inductive reasoning.
O
Given: Everyone dressed casually on Friday
Conjecture: All Fridays are casual days
Given: 3a²
48
Conjecture: a = 6
-
Given: WXYZ is a rectangle.
Conjecture: WX = YZ and WZ = XY
Given: All donuts are unhealthy
Conjecture: This chocolate donut is unhealthy.

Answers

From the given set of statements, the conjecture which represent the inductive reasoning are given by :

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

As given in the question,

Inductive reasoning is the conclusion which is based on the process of observed pattern.

Given set of statements represents the inductive reasoning or not:

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

From observing pattern based on Friday dressing we conclude all Fridays are casual days.

Represent inductive reasoning.

b. Given : 3a² = 48

Conjecture : a = 6

Here we cannot observe the process , we have to show the calculation.

Not representing inductive reasoning.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

From observing pattern based on property of rectangle it is concluded that WX = YZ and WZ = XY.

Represent inductive reasoning.

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

From observing pattern based on all donuts property it is concluded that   chocolate donuts is also unhealthy.

Represent inductive reasoning.

Therefore, from the given set of statements, the conjecture which represent the inductive reasoning are given by :

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

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On Friday, Carlos sold two and two-thirds pitchers of lemonade at his lemonade stand. On Saturday, he sold one and four-sixths times as much lemonade as he sold on Friday. How many pitchers of lemonade did he sell on Saturday?

A. two and six-ninths
B. three and eight-eighteenths
C. four and eight-eighteenths
D. eight and eight-ninths

Answers

Answer:

The correct answer is 1 pitcher.

Step-by-step explanation:

Oscar sold 2 pitchers of lemon are from his lemonade stand on Friday.

On Saturday, he sold as much lemonade as on Friday.

The number of pitchers of lemon from the lemonade stand which Oscar sold on Saturday is given by × 2 = 1 pitcher.

Thus Oscar sold 1 pitcher on Saturday which is half of the number of pitchers of lemon he could sell on Friday.

Answer:

c

Step-by-step explanation:

What are the repeating digits in the smallest group of repeating digits in the decimal equivalent of 2811?

Answers

Answer:

54

Step-by-step explanation:

We can divide 28 by 11 to get...

11 ÷ 28 = 2.545454

   22

     60

     55

        50

        44

           60

            55

               50

                44

                   60

                    55

                      50

                      44

                        60

The division quotient reveals that the numbers 5 and 4 repeat themselves frequently. It is a situation of a repeating decimal that does not end.

This means that in the decimal equivalent of [tex]\frac{28}{11}[/tex], the smallest group of repeating digits is composed of 54 repeating digits.

Hope this helps! :)

Last year, Alonzo had 30,00 to invest. He invested some of it in an account that pain 7% simple interest per year, and he invested the rest in an account that paid 5% simple interest per year. After one year, he revived a total of 1680 in interest. How much did he invest in each account?

Answers

The amount of money that Alonso has invested in these accounts is given as $9000 and $21000

How to solve for the investment

We have to represent the percentages as a and b, then multiply 100 at the right hand side of the equation

we would have

7a + 5b = 1680 * 100

7a + 5b = 168000 ---- 1

From the amount that Alonso has to invest we would have

a + b = 30000

where b = 30000 - a   ---- 2

We have to put the value of b in equation a

7a + 5(30000 - a) = 168000

7a + 150000 -5a = 168000

7a - 5a = 168000 - 150000

2a = 18000

a = 18000 / 2

= $9000

From equation 2

b = 30000 - 9000

= $21000

The amount that was invested in each of the accounts are

$9000 $21000

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Evaluate the expression. 4−[(11 12(−2)÷6) 1] what is the value of the expression? enter your answer in the box.

Answers

The value of the expression is -4.

Question:

Evaluate the expression. 4−[(11+12(−2)÷6)+1] What is the value of the expression? Enter your answer in the box.

What is an expression?

A mathematical expression is a phrase containing a minimum of two numbers or variables and a minimum of one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)

4−[(11+12(−2)÷6)+1]

Simplify parenthesis first followed by box brackets

=4-[(11 -24÷6)+1]

=4-[(11-4+1]

=4-8=-4

So, the value of the expression is -4.

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Matthew's curtain company is making curtains for a local hotel. he wants each curtain to be 36 inches long. at the fabric store, fabric is sold by the foot. if matthew's curtain company wants to make 74 curtains, how many feet of fabric will he need?

Answers

Matthew will need 222 feet of fabric to make 74 curtains.

According to the question,

We have the following information:

Required length of each curtain = 36 inches

Total number of curtains to be made = 74

Now, the total length of the fabric needed to make 4 curtains can be found by multiplying length of one curtain by total number of curtains.

So, we have the following expression:

36*74

2664 inches

Now, we will convert this into feet:

1 inch = 1/12 foot

2664 inches = 2664/12 feet

2664 inches = 222 feet

Hence, Matthew will need 222 feet of fabric to make 74 curtains.

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The 10 numbers from 1 to 10 are split into two groups. The sum of the numbers in one group is N, and the product of the numbers in the other group is eggs. What is the largest possible value of 10

Answers

The largest possible value of 10 can be calculated using factorials and the largest value would be = 3628800

What are factorials?

Factorials is defined as the mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that is n is given as 5, then it's factorial would be =5×4×3×2×1 = 120.

Factorials is used in mathematics or statistics to denote the possibilities of an event in an outcome.

The total numbers of the two groups = 10

The factorials of 10 = 10×9×8×7×6×5×4×3×2×1

= 3,628,800.

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Find the whole. Explain your method. 30% of what is 15

Answers

Answer: 50

Step-by-step explanation:

30% as a decimal is 0.3.

Let's say "what" is a variable, x.

0.3x=15

Divide both sides by 0.3 and you get x=50

Answer:50

Step-by-step explanation:30/100×x=15

x=15×100/30

x=50

Activity 6: What Property does 1 Exhibit? Directions: Complete the table by determining the property of operations on integers that justifies each statement. (Note: a xb can also be written as ab.)
Given:

1. 0 + (-3) = = -3
2. 2(3-5) = 2(3)3) - 2(5)
3. (-6) + (-7) = (-7) + (-6)
4. 1(-9) = = -9
5.(-4) [tex]( - \frac{1}{4} )[/tex] = 1
6. 2 (3 x 7) = (2 X 3) x 7
7. 10 + (-10) = 0
8. 2(5) 5(2)
9. 1 [tex]( - \frac{1}{4}) [/tex] = = [tex] - \frac{1}{4} [/tex]
10. (-3)(4 + 9) = (-3)(4) + (-3)(9) ​

Answers

1).  0 + (-3) = = -3 is Additive Inverse

2).2(3-5) = 2(3)3) - 2(5) is Associative Property

3). (-6) + (-7) = (-7) + (-6) is Commutative Property

4).1(-9) = = -9 is Multiplicative Identity

5).(-4) (-1/4) = 1 is Commutative Property

6). 2 (3 x 7) = (2 X 3) x 7 is  Associative Property

7). 10 + (-10) = 0 is Additive Inverse

8). 2(5) 5(2) is Commutative Property

9).1(-1/4)= -1/4 is  Multiplicative Identity

10).  (-3)(4 + 9) = (-3)(4) + (-3)(9) ​ is Distributive Property

What is Additive inverse ?

To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.

What is Commutative Property ?

This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution. Division and subtraction do not work interchangeably.

A+B=B+A

What is Multiplicative Identity ?

An element of a set that remains intact after being multiplied by any other element of the set. In the set of real numbers, 1 is a multiplicative identity.

What is  Distributive Property?

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

What is  Associative Property?

A mathematical principle known as the associative property states that grouping the factors in a multiplication problem does not affect the solution.

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Unit 6 Sample Work: Do all questions. Show your work!
Sketch a graph of the quadratic function with the given vertex and through the given point. Then write the
equation of the parabola in vertex form and describe how the function was transformed from the parent
function y = ².
1. vertex (0, 0), point (-2.3)

Answers

The graph of the quadratic function y = 0.75x² is given by the image at the end of the answer.

The notation y = 0.75x² is already in vertex form, meaning that the function was vertically compressed by a factor of 3/4 from the original graph.

How to define the quadratic equation?

The definition of a quadratic equation with vertex (h,k) is given as follows:

y = a(x - h)² + k.

In which a represents the leading coefficient of the quadratic function.

In this problem the coordinates of the vertex are:

(0,0).

Hence the parameters are:

h = 0, k = 0.

Thus the equation is:

y = ax².

When x = -2, y = 3, hence the leading coefficient is given as follows:

3 = a(-2)²

4a = 3

a = 3/4

a = 0.75.

Hence the equation is:

y = 0.75x².

The multiplication by 0.75 means that the parent function y = x² is vertically compressed by a factor of 0.75.

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Jack works after school. each day he is paid a set amount, plus an hourly wage. Which is the reasonable domain for the function f(x)=10x+8

Answers

Answer:

x>-⅘ OR x<-⅘ (Can I have brainliest ;-;)

Step-by-step explanation:

1) Find x-int:

0=10x+8

-8=10x (÷10)

-⅘=x

x(-⅘;0)

2) Domain:

x>-⅘x<-⅘

3) Choose 1 of those, since i cant see the graph i cant say which domain would fit the graph

Find the 3rd degree equation that is divisible by x, (x − 3), (x+1)

Answers

The 3rd degree equation that is divisible by x, (x − 3), (x+1) is x³ - 2x² - 3x.

Define cubic polynomial.

A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3. An algebraic statement having variables, constants, and exponents that are whole integers is called a polynomial.

The given factors are x, (x - 3), (x + 1)

To find the 3rd-degree polynomial divisible by x, (x - 3), (x + 1) multiply the three expressions.

First multiply x, (x - 3)

x × (x - 3)

= x × x - 3 × x

= x² - 3x

Now multiply x² - 3x and (x +1)

(x² - 3x) × (x + 1)

= x²(x) - 3x(x) + x²(1)  - 3x(1)

= x³ - 3x² + x² - 3x
= x³ - 2x² - 3x

So, this is the 3rd-degree equation that is divisible by x, (x − 3), (x+1).

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Ryan will drive hi car in Spain. The peedometer in the car how the peed in mile per hour only. He will be driving on a road with a peed limit of 100 kilometre per hour. Ryan ue thi rule to find thi peed in mile per hour

Answers

Ryan will use the multiplication with 0.621 to find the speed in mile per hour.

To find the speed in mile per hour we will convert the unit from mentioned unit to desired unit. As per the known fact, 1 kilometre is 0.621 mile.

Keeping the value of mile in the place of kilometres, we will calculate the speed in miles per hour.

Speed = (100 × 0.621)/1

Performing multiplication in numerator on Right Hand Side of the equation to find the value of speed in miles per hour

Speed = 62.1 miles per hour

Thus, Ryan should multiply the value with 0.621 miles per hour and hence, the value of speed in miles per hour is 62.1.

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I can’t understand the question please I need this done asap

Answers

The equation of circle can be written as (x-4)^2+ (y+2)^2 = 6^2. The center of the circle is (4,-2) and radius is 6.

What is a circle?

A circle is locus of points which have same distance from a point known as center. Circle is a 2 dimensional figure.

We are given a equation

x^2+y^2-8x+4y-16 = 0

Using completing square method

x^2-8x+ 16+y^2+4y+4-36=0

(x-4)^2 + (y+2)^2 = 6^2

Comparing with standard equation

The center of circle is (4,-2) and and radius of the circle is 6.

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100 points I Will Mark Brainliest Please Help ASAP i only have 30 min
jason bought 10 of the 30 raffle tickets for a drawing. Assuming that he chooses the winning ticket each time, what is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize, the ticket is thrown away?
6/203
1/27
3/29
1/9

Answers

Answer:

the answer is 1/27

Step-by-step explanation:

so firstly

10/30 has 20 tickets left

3 tickets are winning so

1/27

driving between two towns at 110 kmph instead of 100 kmph saves 9 minutes. what is the distance between the two towns in kilometers?

Answers

The distance between the two towns is 165 kilometers

The initial speed = 100 kilometer per hour

Time taken = t hours

We know,

Speed = Distance / Time

Distance = Speed × t

Distance = 100 × t

New speed = 110 kilometer per hours

He saves 9 minutes

9 minutes = 9/60 hours

The time taken = t - 9/60

The distance = 110 × (t - 9/60)

= 110t - 33/2

Then the equation will be

100t = 110t - 33/2

110t - 100t = 33/2

10t = 33/2

t = 33/2 ÷ 10

t = 33/2 × 1/10

t = 1.65 hours

Then the distance = 100 × t

= 100 × 1.65

= 165 kilometers

Hence, the distance between the two towns is 165 kilometers

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Jacob reduced the size of a painting to a width of 3 in. What is the new height if it was originally 8 in tall and 6 in wide?

Answers

The original width is 6 inches, and was reduced to 3 inches, which is half. Keeping this in mind, the new height should be half the original 8 inch height, being halved to 4 inches.

Help mee someoneeeeee

Based on your findings from questions #4-6, is Anthony correct?

Answers

The given triangle is not an isosceles triangle because all sides have different lengths. So, Anthony is incorrect.

We are given a graph. The graph shows a triangle. The vertices of the given triangle are K, L, and M. The coordinates of the vertices of the triangle are K (-4, 8), L (-7, 4), and M (-2, 1). Anthony claims that the triangle ΔKLM is isosceles. We need to check whether he is right or not. We will find the lengths of all sides of the triangle using the distance formula between two points.

KL = √[(-4 + 7)² + (8 - 4)²] = √(9 + 16) = √25

LM = √[(-7 + 2)² + (4 - 1)²] = √(25 + 9) = √34

MK = √[(-4 + 2)² + (8 - 1)²] = √(4 + 49) = √53

The lengths of all sides of the triangle are different from each other. Hence, it is a scalene triangle.

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Please help me it’s due today!!

Answers

Solution of expression 5²- 9 ÷ 3 using PEMDAS is 22.

Define PEMDAS.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are referred to as PEMDAS in this context. Teachers in the United States constantly remind their students about the acronym PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction. BODMAS, which stands for brackets, ordering, division and multiplication, and addition and subtraction, is another acronym used by educators. A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Parentheses, Exponents, Multiplication and Division (from Left to Right), Addition and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

Given,

Expression:

5²- 9 ÷ 3

Using PEDMAS,

Squaring,

25 - 9 ÷3

Dividing,

25 - 3

22

Solution of expression 5²- 9 ÷ 3 using PEMDAS is 22.

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Type the missing number to complete the proportion.
94 kilometers in 6 hours = 47 kilometers in _
hours

Answers

Using proportion, if 94 kilometres is 6 hours, 47 kilometres is 3 hours.

How to solve proportion?

Proportion is a mathematical comparison between two numbers

Proportion says that two ratios (or fractions) are equal.

Therefore, let's solve the proportion.

94 kilometres  = 6 hours

47 kilometres = ?

cross multiply

time = 47 × 6 / 94

time = 282 / 94

time = 3 hours

Therefore, if 94 km is 6 hours, 47 km is 3 hours.

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Which two points should the line of best fit go through to best represent the data in the scatterplot?

A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).
(1, 3) and (2, 7)
(1, 3) and (6, 13)
(3, 8) and (5, 12)
(5, 12) and (6, 13)

Answers

The best line fit go through to represent the data is (3,8) and (5,12)

The correct option is Option c)

What is best fit line?

A straight line that minimises the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

We are given some points we will plot the graph on the points

From that if we plot the line through the point (3,8) and (5,12)

That will leave 2 points above the line and 2 point below the line

Hence it is the best fit line

The correct option is option C)

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the average height of students at uh from an srs of 14 students gave a standard deviation of 2.5 feet. construct a 95% confidence interval for the standard deviation of the height of students at uh. assume normality for the data. a) (2.812, 10.028) b) (1.812, 4.028) c) (1.312, 8.028) d) (0.812, 6.028) e) (3.812, 8.028) f) none of the above

Answers

The following is the 95% confidence interval for the standard deviation of UH students' height: CI = (1.81, 4.028) that is option B is correct.

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed. The standard deviation gauges how widely the data deviates from the mean. When comparing data sets that may have the same mean but a different range, it is helpful.

Here,

The formula for the standard deviation's confidence interval is given as CI = √[(n - 1)s²/(χ²ₙ ₋ ₁, α/2)], √[(n - 1)s²/(χ²ₙ ₋ ₁, (1 - α)/2)]

Number of participants; n = 14 D F = n - 1 = 14 - 1 = 13

Deviation from the mean; s = 2.5

Significant level; = 1 - 0.95 = 0.05 

Confidence level; CL = 95% = 0.95

As a result, using an online Chi-square distribution table, we have: 

χ²₁₃, ₀.₀₂₅ = 24.736

(χ²₁₃, ₀.₉₇₅) = 5.01

CI = √[(13 * 2.5²/(24.736)], √[(13 * 2.5²/(5.01)]

CI = (1.81, 4.03) (1.81, 4.03)

The range with a 95% confidence level for the height standard deviation of UH students is as follows: CI = (1.81, 4.028), so option B is the proper one.

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three cards are dealt. what is the probability that the first is a king, the second a diamond and the third a diamond quizlrt

Answers

The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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which characteristic allows a gas to be compressed​

Answers

Answer:

"Gases are compressible because most of the volume of a gas is composed of the large amounts of empty space between the gas particles. At room temperature and standard pressure, the average distance between gas molecules is about ten times the diameter of the molecules themselves."

Step-by-step explanation:

Found information on Compressibility | CK-12 Foundation website

You intend to estimate a population mean with a confidence interval. You believe the population to have a
normal distribution. Your sample size is 51.
Find the critical value that corresponds to a confidence level of 95%.
(Report answer accurate to three decimal places with appropriate rounding.)

Answers

The critical value will be +- 1.96.

What is critical value?

A crucial value delimits areas of a test statistic's sampling distribution. Both confidence intervals and hypothesis tests take these values into account.

Main body:

sample size is 10.

if you use z-scores, and it appears that you have to, since you don't know the mean or standard deviation of your population, your mean is 0 and your standard deviation is 1.

at 95% confidence level, 100% - 95% is your alpha.

that makes it equal to 5%.

divide that by 2 and you have half your alpha on the left end of the confidence interval and half on the right end.

that makes it 2.5% on each end.

2.5% is the same as .025 in decimal form.

look up a z-score to the left of .025 to get a z-score of -1.959963986 which can be rounded to -1.96.

since the normal distribution is symmetric about the mean,

Therefore your critical z-score is plus or minus 1.96.

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using a loan calculator,find the total cost to repay a one year long credit loan with principal of 6,000 and an interest rate of 12% APR,

Answers

The total cost to repay a one year long credit loan is 6720.

Given,

In the question;

Principal is = 6,000

Interest rate = 12%

To find the total cost to repay a one year long credit loan .

Now According to the question;

Based on the given condition:

Principal is = 6,000

Interest rate = 12%

Formulate:

6000 x (1 + 12%)

6000 x ( 1 + 0.12)

Calculate the sum or difference:

6000 x 1.12

= 6720

Hence, The total cost to repay a one year long credit loan is 6720.

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Please help
Identify the proportional relationship

Answers

There is no proportional relationship between the given equations.

What is proportional relationship?

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality".

The given equations are,

7x - 2 = y

y = 2x + 4

y = 5x

y + 1 = 3x

These equations can be written as,

y = 7x - 2

y = 2x + 4

y = 5x

y = 3x - 1

Now consider the following table,

               x          y         y/x

             7           1          1/7

              2          1          1/2

               5          1          1/5

               3          1          1/3      

From above we can see that none of the ratio are equal, all ratios are different.

Hence, none of the given equations having proportional relationship.

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Pls help! i can get pt1 but not Pt2

Answers

Answer: 18/20

Step-by-step explanation:

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