Geometry and 60 POINTS!!!!!!

Answer:

AC ≈ 6.25

Step-by-step explanation:

using the tangent ratio in the right triangle

tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{8.6}[/tex] ( multiply both sides by 8.6 )

8.6 × tan36° = AC , then

AC ≈ 6.25 ( to 3 SF )

The probability that the both balls would be white when drawn at random from each urn would be = 1 7/45

The number of colour that is found in two urns = 2( white and yellow).

The first urn contains the following:

5 white balls

4 yellow balls

The total number of balls = 9 balls.

The probability of getting a white ball = 5/9

The second urn contains the following:

3 white balls

2 yellow balls

The total number of balls = 5 balls

The probability of getting a white ball = 3/5

Therefore the probability that both balls are white;

= 5/9 + 3/5

= 25+27/45

= 52/45

= 1 7/45

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The number line is represented by the inequality -

Option C - |2x - 1| ≥ 9

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The number line indicates two filled circles which suggests the inequality contains (≤,≥) symbols and is inclusive of range.

The first inequality will be x ≤ -4 since the value is starting from -4 and moving towards negative infinity.

Similarly, the second inequality will be x ≥ 5 since the value is starting from 5 and moving towards positive infinity.

The compound inequality that results in same is -

|2x - 1| ≥ 9

Apply the absolute rule -

2x - 1 ≥ 9 or 2x - 1 ≤ -9

Solve the inequality -

2x - 1 ≥ 9 or 2x - 1 ≤ -9

2x - 1 + 1 ≥ 9 + 1 or 2x - 1 + 1 ≤ -9 + 1

2x ≥ 10 or 2x ≤ -8

x ≥ 5 or x ≤ -4

Therefore, the inequality is |2x - 1| ≥ 9.

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The fractions have values -

4. one-sixth plus five-sixths equals - Option 3 : 1

5. seven twelfths plus two-twelfths equals - Option 1 : 0

6. nine-tenths minus four-tenths equals - Option 4 : 2

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The first fractional statement is -

one-sixth plus five-sixths

The mathematical expression is -

1/6 + 5/6

Since the denominator is same just add the numerator.

(1 + 5) / 6

6/6

1

Therefore, the value is obtained as 1.

The second fractional statement is -

seven twelfths plus two-twelfths

The mathematical expression is -

7/12 + 2/12

Since the denominator is same just add the numerator.

(7 + 2) / 12

9/12

3/4

0.75 ≈ 0

Therefore, the value is obtained as 3/4.

The third fractional statement is -

nine-tenths minus four-tenths

The mathematical expression is -

9/10 - 4/10

Since the denominator is same just subtract the numerator.

(9 - 4) / 10

5/10

2

Therefore, the value is obtained as 2.

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4. Round each fraction to help you estimate the solution for the following equation:

one-sixth plus five-sixths equals

1. 0

2. one half

3. 1

4. 2

5. Round each fraction to help you estimate the solution for the following equation:

seven twelfths plus two-twelfths equals

1. 0

2. one half

3. 1

4. one and one half

6. Round each fraction to help you estimate the solution for the following equation:

nine-tenths minus four-tenths equals

1. one half

2. 1

3. one and one half

4. 2

Answer: look at the image for the answer and solution

Step-by-step explanation:

The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.

A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:

Angle 2 = (Angle 1) / 0.25

For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.

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The triangle is scalene triangle as none of the sides of a triangle are equal to each other.

Triangles are classified into three types on the basis of its sides.

Equilateral triangle =  If all sides of a triangle are equal then it is known as equilateral triangle.

Isosceles triangle =  If any two sides of a triangle are equal then it is known as isosceles triangle.

Scalene triangle = If none of the sides of a triangle are equal then it is known as scalene triangle.

The question states that a triangle has side lengths 35cm, 46cm, and 68cm

so, none of the side are equal so the given triangle is scalene triangle

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52 students passed only one subject

Let's use the following variables to represent the number of students who passed each subject:

P(Ga): the number of students who passed Ga

P(Fante): the number of students who passed Fante

From the problem statement, we know that:

P(Ga) = P(Fante) + 6, since the number of students who passed Ga is 6 more than the number who passed Fante

P(Ga ∩ Fante) = 8, since 8 students passed both subjects

P(Ga ∪ Fante) = 60, since every student passed at least one subject

We want to find the number of students who passed only one subject, which is equal to the total number of students who passed Ga minus the number of students who passed both subjects, plus the number of students who passed Fante but not Ga. In symbols:

P(Ga) - P(Ga ∩ Fante) + (P(Fante) - P(Ga ∩ Fante))

Substituting the values we know:

(P(Fante) + 6) - 8 + (P(Fante) - 8)

Simplifying:

2P(Fante) - 10

We also know that P(Ga) + P(Fante) - P(Ga ∩ Fante) = P(Ga ∪ Fante) = 60.

Substituting the values we know:

P(Ga) + P(Fante) - 8 = 60

P(Ga) + P(Fante) = 68

Substituting P(Ga) = P(Fante) + 6:

2P(Fante) + 6 = 68

2P(Fante) = 62

P(Fante) = 31

Therefore, the number of students who passed only one subject is:

2P(Fante) - 10 = 2(31) - 10 = 52

Therefore, 52 students passed only one subject.

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The algebraic expression for the amount of etergent remaining in the container isy = x - 13 - 4 - 73

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

13 4 73

Let's define the variable 'x' to represent the amount of detergent initially present in the container.

Then, if 'y' represents the amount of detergent remaining in the container, we can write an algebraic expression for it as:

y = x - 13 - 4 - 73

where:

13 represents the amount of detergent used on the first day

4 represents the amount of detergent used on the second day

73 represents the amount of detergent used on the third day

By subtracting the total amount of detergent used from the initial amount 'x', we get the remaining amount 'y'.

Therefore, the expression will be y = x - 13 - 4 - 73.

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Answer:

roughly 88 but 87.9645943005...

Step-by-step explanation:

First, the formula for the circumference of a circle is 2pi(r), so plugging in 14 yards, you get 28pi roughly 88 but for an actual answer 87.9645943005

The probability that the actor will get his lines straight for the first time on the fourth attempt is 0.0864, rounded to three decimal places.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The probability that the actor will get his lines straight on any one take is 0.40. This means that the probability of him not getting his lines straight on any one take is 1 - 0.40 = 0.60.

P(getting lines straight on 4th attempt)
= P(not getting lines straight on 1st, 2nd, or 3rd attempt) x P(getting lines straight on 4th attempt)

P(not getting lines straight on any one attempt) = 0.60

P(not getting lines straight on 1st, 2nd, or 3rd attempt) = 0.60 x 0.60 x 0.60 = 0.216

P(getting lines straight on 4th attempt) = 0.40

P(getting lines straight for the first time on the fourth attempt) = P(not getting lines straight on 1st, 2nd, or 3rd attempt) x P(getting lines straight on 4th attempt)
= 0.216 x 0.40 = 0.0864

Therefore, the probability that the actor will get his lines straight for the first time on the fourth attempt is 0.0864, rounded to three decimal places.

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The total volume of compost required for 16 bowls is 67,493.33 cm³

The total weight of compost required for 16 bowls is 155,906.67 gm

The total amount of polythene required for 16 bowls is: 6400π cm²

(i) The volume of compost required per bowl can be calculated as follows:

V = (4/3)πr^3, where r is the radius of the sphere

The radius of each bowl can be calculated as:

r = (d/2) - t, where d is the diameter (21 cm) and t is the thickness (0.5 cm)

So, r = (21/2) - 0.5 = 10 cm

Plugging the value of r into the formula for volume:

V = (4/3)πr^3 = (4/3)π * 10^3 = 4186.67 cm³

The total volume of compost required for 16 bowls is:

16 * 4186.67 = 67,493.33 cm³

The total weight of compost required for 16 bowls is:

67,493.33 cm³ * 2.31 gm/cm³ = 155,906.67 gm

(ii) To find the total amount of polythene required to cover the outer surface of 16 bowls, we first need to calculate the surface area of one bowl.

The surface area of a sphere can be calculated as follows:

A = 4πr^2

Plugging the value of r into the formula for surface area:

A = 4πr^2 = 4π * 10^2 = 400π cm²

The total amount of polythene required for 16 bowls is:

16 * 400π cm² = 6400π cm²

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Answer: A

Step-by-step explanation:

To solve for x, we can set the expression equal to 24√47 and solve for x.

24√47 = x√47

24 = x

Therefore, the value of x that makes the expression equivalent to 24√47 is x = 24, which corresponds to the answer choice A.

The twins are 6 years old, and the oldest sister is 13 years old (since they were born seven years after their older sister).

7.3% of women under the age of 35. 6.9% of females aged 35 to 37. 6.8% of women aged 38 to 40 were female. 5.1% of females aged 41 to 42.

Starting out, let's assign some variables.

Let x represent the sister's older sister's age in years.

The twins' age is then x – 7. (since they were born seven years after their older sister).

We are told that the product of the three siblings' ages is 2693 more than the sum of their ages. This can be expressed algebraically as:

x(x - 7)(x - 7) = x + (x - 7) + (x - 7) + 2693

Simplifying this equation gives:

x³ - 21x² + 98x - 2693 = 0

We can see that x = 13 is a root of the equation, since:

13³ - 21(13)² + 98(13) - 2693 = 0

This means that (x - 13) is a factor of the equation.

We can use polynomial division or synthetic division to divide the equation by (x - 13) and obtain a quadratic equation:

x² - 8x + 207 = 0

The solutions of this quadratic equation are:

x = (8 ± sqrt(8² - 4(1)(207))) / 2 = 4 ± sqrt(241)

Since x represents the age of the older sister, which must be a positive integer, the only valid solution is:

x = 13

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a) The probability that no one reports the loss or theft of their credit cards is 0.0498.

b) The probability that every credit card is lost or stolen is practically zero.

c) The probability that exactly six people report the loss or theft of their cards is 0.1042

d) The probability that at least nine people report the loss or theft of their cards is 0.2142

a. To calculate the probability that no one reports the loss or theft of their credit cards, we can use the Poisson distribution with an average of λ = 0.02% * 15,000 = 3.

The probability that no one reports the loss or theft of their credit cards is:

P(X = 0) = e^(-λ) * (λ^0 / 0!) = e^(-3) * (1 / 1) = 0.0498 or approximately 5%.

b. The probability that every credit card is lost or stolen is:

P(X = 15000) = e^(-λ) * (λ^15000 / 15000!)

Since λ is very small, the probability of all 15000 credit cards being lost or stolen in a month is practically zero.

c. To calculate the probability that six people report the loss or theft of their cards, we again use the Poisson distribution with an average of λ = 3.

The probability that exactly six people report the loss or theft of their cards is:

P(X = 6) = e^(-λ) * (λ^6 / 6!) = e^(-3) * (3^6 / 720) = 0.1042 or approximately 10.4%.

d. To calculate the probability that at least nine people report the loss or theft of their cards, we need to sum the probabilities for X = 9, 10, 11, ..., 15, since there are only 15,000 credit cards in total.

The probability that at least nine people report the loss or theft of their cards is:

P(X >= 9) = Σ(i=9 to 15) P(X = i) = Σ(i=9 to 15) e^(-λ) * (λ^i / i!)

This is a tedious calculation to do by hand, but we can use a calculator or software to find that P(X >= 9) is approximately 0.2142 or 21.42%.

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In the 5-hour trip from Dallas to Houston, a Houston-bound bus passes 10 Dallas-bound buses on the highway

The first step to solving this problem is to understand the time it takes for each bus to travel from one city to another. We know that the trip from Dallas to Houston takes 5 hours.

Now, let's use the concept of time to determine how many Dallas-bound buses a Houston-bound bus passes on the highway. We know that buses from Dallas to Houston leave every hour on the hour and buses from Houston to Dallas leave every hour on the half hour. This means that a Houston-bound bus leaves at 1:30 pm, 2:30 pm, 3:30 pm, and so on.

If a Houston-bound bus leaves at 1:30 pm, it will pass the first Dallas-bound bus that left at 1:00 pm after 2.5 hours. This is because the distance between the two cities is the same, and both buses are traveling at the same speed. Therefore, the Houston-bound bus will have traveled half of the distance in 2.5 hours, and it will pass the Dallas-bound bus on the highway.

Similarly, if a Houston-bound bus leaves at 2:30 pm, it will pass the second Dallas-bound bus that left at 2:00 pm after 2.5 hours. This process continues for every Houston-bound bus that leaves on the half hour.

In other words, for every hour that passes, a Houston-bound bus passes two Dallas-bound buses on the highway. Therefore,

=> (5 hours x 2 buses per hour) = 10 hours

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The fuel consumption per liter of Lilly's car is  12.5 kilometers per liter .

Average mileage The average mileage of a vehicle is the ratio of the distance traveled by the vehicle and the total amount of fuel used for that distance.

You can specify:

where (d) is the distance traveled and (n) is the fuel consumption.

Lily's car consumes 8 liters per 100km. This is your car's mileage or efficiency.

average mileage = 100/8 = 12.5 kilometers per liter

Therefore, the fuel efficiency in kilometers per liter of a Lily car with a fuel efficiency of 8 liters per 100 kilometers is 12.5 kilometers per liter.

Complete Question - Lily’s car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily’s car in kilometers per liter ?

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The trustworthiness of the prediction depends on the specific data and relationship between the predictor and response variable, and must be evaluated on a case-by-case basis.

To determine the trustworthiness of a prediction using a simple linear regression equation, we need to assess the degree of linearity and the strength of the relationship between the predictor and the response variable.

If the relationship between the predictor and response is linear, the simple linear regression model is appropriate, and if the relationship is strong, the predictions will be more trustworthy.

So, if we have four values for the predictor, we would need to evaluate the scatterplot of the predictor and response variable to determine the linearity and strength of the relationship.

If the scatterplot shows a clear and strong linear relationship between the predictor and the response variable, with a relatively small amount of scatter around the line of best fit, then we can be more confident that our predictions using the simple linear regression equation will be trustworthy.

On the other hand, if the scatterplot shows a weak or non-linear relationship, or a high amount of scatter around the line of best fit, then the predictions using the simple linear regression equation may not be as trustworthy.

Therefore, the trustworthiness of the prediction depends on the specific data and relationship between the predictor and response variable, and must be evaluated on a case-by-case basis.

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Answer:

Yes, because 50x20= 5x10x2x10= (5x2)x(10x10)

So you can multiply 5x2 first and than add the zeros

Answer:

First, we need to find the area of Site A and Site B. The area of a rectangle is found by multiplying its length and width, so:

Site A: 60 m x 40 m = 2400 m^2

Site B: 45 m x 40 m = 1800 m^2

Next, we need to find the perimeter of each site, which is the distance around the edges of the rectangle. The perimeter is found by adding up the lengths of all four sides, so:

Site A: 2 x (60 m + 40 m) = 2 x 100 m = 200 m

Site B: 2 x (45 m + 40 m) = 2 x 85 m = 170 m

Finally, to find the total amount of rope needed, we add up the perimeters of both sites:

200 m + 170 m = 370 m

So, we need a total of 370 meters of rope to rope off both sites.

Answer:350

ITS NOT 370

The cost to wax the floor will be $2,184.03.

What is the area of any geometrical shape?

The area of a geometrical shape is a measurement of the extent of a two-dimensional surface. It is the measure of the amount of space inside the shape, which can be expressed in square units, such as square inches, square feet, or square meters.

Rectangle: area = length x width

Trapezoid: area = ((base1 + base2) / 2) x height

To find the area of the floor, we need to split the shape into two parts: a trapezoid on top and a rectangle on bottom.

The area of the trapezoid is: (33 + 19) / 2 * 14 = 385 square feet

The area of the rectangle is: 33 * 28 = 924 square feet

The total area is: 385 + 924 = 1309 square feet

Multiplying by the cost per square foot, we get:

1309 * 1.67 = 2184.03

Hence, the cost to wax the floor will be $2,184.03.

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The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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The amount that needs to be invested at the interest rate of 4% compounded continuously is P = $8932.461.

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit. It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.

Given that the interest is compounded continuously.

For the given situation the formula of compound interest is:

[tex]A = Pe^{rt}[/tex]

where, A is the amount = $12300

P is the principal amount

r is the rate = 4% = 0.04

t is the time = 8 years

Substituting the values we have:

[tex]12300 = Pe^{(0.04)(8)}\\\\P = \frac{12300}{e^{(0.04)(8)}} \\\\P =8932.461[/tex]

Hence, the amount that needs to be invested at the interest rate of 4% compounded continuously is P = $8932.461.

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Answer:

A.   112 units^2

Step-by-step explanation:

64 + 32 + 12 + 4 = 112

Answer:

20 + .50M   = 10 + .80M     subtract .50M, 10 from both sides

10  = .30M     divide both sides by .30

10 / .30  = M   =  about 33 + 1/3 miles driven equalize the cost

[Jana used  " -.50M"  in the original set up instead of  " +.50M"   ]

Step-by-step explanation:

The probability of getting one club and one heart is 0.127.

p= [tex]\frac{13*13*2*1}{52*51}[/tex]=0.1275

One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.

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Answer: the answer is sos not please help me dude

Step-by-step explanation:

but you use kami and go to files and download the pdf use kami

The length of the hypotenuse BC in right  angled triangle ABC is 3.605 units.

A triangle is said to be right angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. Consequently, other names for this triangle include the right triangle and 90-degree triangle.

In right angle triangle if 90 degree angle is A then

[tex]AB^{2} +AC^{2} = BC^{2}[/tex]

And here length of altitude AB equals to 3 units and length of base  AC equals to 2 units And here length of hypotenuse BC equals to [tex]\sqrt{13}[/tex] units

[tex]AB^{2} +AC^{2} = BC^{2}[/tex]

[tex]3^{2} +2^{2} = \sqrt{13}[/tex]

[tex]\sqrt{13}[/tex]= 3.60555 unit

And here ans [tex]\sqrt{13}[/tex] is already give what we have to do just calculate the value of [tex]\sqrt{13}[/tex] which is = 3.605

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The number of possible outcomes in the sample space of a wireless garage door opener with 16 switches can be determined using the concept of combination is 1.

Combination is a mathematical concept that refers to the number of ways that a set of objects can be selected from a larger set without regard to their order.

To determine the number of possible outcomes in the sample space, we can use the concept of combination. In this case, the objects are the 16 switches, and the larger set is the set of all possible settings for these switches (up or down).

To calculate the number of possible combinations, we can use the formula for combination, which is:

ⁿCₓ = n! / (x! * (n - x)!)

where n is the total number of objects (16 switches), and x is the number of objects selected (in this case, also 16 switches). The exclamation mark (!) represents the factorial function, which is the product of all positive integers up to and including the given integer.

Using this formula, we can calculate the number of possible combinations as follows:

=> 16! / (16! x (16 - 16)!)

=> 16! / (16! x 0!)

=> 1

Therefore, the sample space of possible codes for a wireless garage door opener with 16 switches is 1.

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