May I please get help with this. I have tried multiple times but still could not get the correct or at least accurate answer.I also need to round my answer to the nearest hundredth to get the correct answer

a. The probability that exactly 28 of them live in cities with a population greater than 100,000 people is approximately 0.058.

b. The probability that at most 28 of them live in cities with a population greater than 100,000 people is approximately 0.091.

c. The probability that at least 27 of them live in cities with a population greater than 100,000 people is approximately 0.896.

d. The probability that between 22 and 28 (including 22 and 28) of them live in cities with a population greater than 100,000 people is approximately 0.164.

To solve this problem, we can use the binomial probability formula. Let's define "success" as an American living in a city with a population greater than 100,000 people, and "failure" as an American living in a city with a population less than or equal to 100,000 people. The probability of success is given as 0.75 (75%).

a. To find the probability that exactly 28 of them live in cities with a population greater than 100,000 people, we use the formula: P(X = 28) = (37 choose 28) * (0.75^28) * (0.25^9). Evaluating this expression, we find that the probability is approximately 0.058.

b. To find the probability that at most 28 of them live in cities with a population greater than 100,000 people, we sum up the probabilities for all values from 0 to 28. P(X ≤ 28) = Σ[P(X = k)] for k = 0 to 28. Evaluating this expression, we find that the probability is approximately 0.091.

c. To find the probability that at least 27 of them live in cities with a population greater than 100,000 people, we sum up the probabilities for all values from 27 to 37. P(X ≥ 27) = Σ[P(X = k)] for k = 27 to 37. Evaluating this expression, we find that the probability is approximately 0.896.

d. To find the probability that between 22 and 28 (including 22 and 28) of them live in cities with a population greater than 100,000 people, we sum up the probabilities for all values from 22 to 28. P(22 ≤ X ≤ 28) = Σ[P(X = k)] for k = 22 to 28. Evaluating this expression, we find that the probability is approximately 0.164.

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After using the formula of a trapezoid, we know that the area is 25 units².

The size of a patch on a surface is determined by its area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The shape can also be placed on a grid, and the number of squares can be counted: The area of the rectangle is 15.

For instance, if each square is 1 meter in size, the area is 15 m² (15 square meters).

So, we  have the vertices as follows:

A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2)

See, the plotted vertices on the graph.

The figure is a trapezoid.

The area of a trapezoid is as follows:

A = 1/2(AD+BC)AB

Now, find the distance:

AD = 4

BC = 6

AB = 5

Substitute as follows:

A = 1/2(4+6)5 = 25 units²

Therefore, after using the formula of a trapezoid, we know that the area is 25 units².

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Answer:

1 and 3

Step-by-step explanation:

The resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

According to the question, we are to write the given statement as an expression

Let the unknown variable be p such that the sum of nine and p is 9 + p

Since "of" means multiplication, hence;

2/3 of the sum of nine and p will be expressed as;

2/3 of (9 + p)

2/3 * (9 + p)

2/3(9+p)

Hence the resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

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Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer:

S=2t

or

T=1/2 S

Answer:

π =14 cm

Step-by-step explanation:

Given:

circumference of a circle =616 cm

pie(π)=22/7

circumference of a circle=πr^2

616=22/7 *r^2

616*7/22 =r^2

4312/22 =r^2

196=r^2

\(\sqrt{196}\) =r

14 =r

The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.

What is Standard Deviation?

It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

To find the approximate wait time for the fastest 4% of passengers, we need to use the normal distribution and the inverse normal distribution function.

The normal distribution is a continuous probability distribution that is symmetrical around the mean, and is defined by the mean and standard deviation. In this case, the mean wait time for passengers with global entry is 40 minutes and the standard deviation is 12 minutes.

The inverse normal distribution function is a mathematical function that takes a probability as input and returns the corresponding value from the normal distribution. In other words, it allows us to find the value that corresponds to a given percentile of the normal distribution.

To find the wait time for the fastest 4% of passengers, we need to find the value that corresponds to the 4th percentile of the normal distribution. To do this, we can use an inverse normal distribution calculator or a normal distribution table.

Plugging in the mean and standard deviation of the wait time and the percentile of 4, we get a value of approximately 29.29 minutes. This is the wait time for the fastest 4% of passengers.

So, The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.

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The distance between the two points (5,6) and (10,12) is \(\sqrt{61}\)

What is the distance between two points formula?

The length of the line segment bridging two points on a plane is known as the distance between the points. d=((x2 - x1)2 + (y2 - y1)2) is a standard formula to calculate the distance between two points. This equation can calculate the separation between any two locations on an x-y plane.

Solution explained:

First, Write the distance formula:

\(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}\)

Now,

Substitute (5,6) and (10,12) into \(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}\) :

\(\sqrt{(10 - 5)^{2} + (12 - 6)^{2}}\)      Calculate

\(\sqrt{(5)^{2} + (6)^{2}}\)                      Calculate

\(\sqrt{25 + 36}\)                            Calculate

Hence. the distance between points (5,6) and (10,12) is \(\sqrt{61}\).

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The distance when the mass is 5kg is 15cm.

When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.

The equation that is used to represent direct variation is:

d = km

Where:

The first step is to determine the value of k:

12 = 4k

k = 12 / 4

k = 3

d = 3 x 5 = 15cm

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This iterated integral can be used to evaluate the triple integral of any function f(x,y,z) over a sphere of radius 4 centered at (0,0,0), using the order dz dx dy.

To write the iterated integral for triple integral of f(x,y,z) over a sphere of radius 4 centered at (0,0,0) using the order dz dx dy, we need to break down the integral into three separate integrals, one for each variable. Here is the iterated integral:

∫ from -4 to 4 ∫ from -sqrt(16 - x^2) to sqrt(16 - x^2) ∫ from -sqrt(16 - x^2 - y^2) to sqrt(16 - x^2 - y^2) f(x,y,z) dz dy dx

In this integral, the outermost integral with respect to x ranges from -4 to 4, since the sphere has a radius of 4. The next integral with respect to y ranges from -sqrt(16 - x^2) to sqrt(16 - x^2), which is the equation of a circle with a radius of sqrt(16 - x^2) in the xy-plane. Finally, the innermost integral with respect to z ranges from -sqrt(16 - x^2 - y^2) to sqrt(16 - x^2 - y^2), which is the equation of a circle with a radius of sqrt(16 - x^2 - y^2) in the xy-plane, and represents the height of the sphere at each point (x,y).

This iterated integral can be used to evaluate the triple integral of any function f(x,y,z) over a sphere of radius 4 centered at (0,0,0), using the order dz dx dy.

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Answer:

Step-by-step explanation:

Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.

Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):

Slope (m) = (change in y) / (change in x)

= (12 - 1) / (12 - 2.5)

= 11 / 9.5

≈ 1.16

To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):

1 = 1.16 * 2.5 + b

1 = 2.9 + b

b ≈ -1.9

Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.

Answer: sorry wish I could help

Step-by-step explanation:

tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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Answer:

17.00 %

Step-by-step explanation:

17 out of 51 is 34

9514 1404 393

Answer:

  398.12 m

Step-by-step explanation:

The perimeter fence consists of two half-circles (hence, a full circle) of radius 36.5 m, and two straight lengths of 84.39 m.

The circumference of a circle is given by the formula ...

  C = 2πr

so the circular sections of fence have a total length of ...

  C = 2π(36.5 m) = 73π m ≈ 229.34 m

__

Adding the two straight lengths to this gives a total perimeter of ...

  P = 2(84.39 m) +229.34 m = 398.12 m

The approximate length of the fence around the field shown is 398.12 m.

_____

Comment on significant figures

Since the length of the straight section is given to the nearest cm, we have elected to give the total length accurate to the nearest cm. If we assume that the radius is only good to 3 significant figures, then the circumference of the circle is good only to 3 significant figures (229 m). Thus, we must give our approximate value to the same precision, the nearest meter: 398 m.

Answer:

1.2 is the answer!!!!!!

Answer:

1.2

Step-by-step explanation:

You can easily divide

Plz mark me for brainliest

Answer:

6

Step-by-step explanation:

2 1/2 + 3 1/2

= (2 + 3) + (1/2 + 1/2)

= 5 + 1

= 6

Answer: 8

Step-by-step explanation:

To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.

Let's assume "h" represents the height of the tree.

We have the following information: Distance from the tree: 8 ft

Height to your eyes: 4 ft

We can set up the proportion: Your height to distance = Tree height to distance

4 ft / 8 ft = h / (8 ft + h)

To solve for "h," we can cross-multiply and then solve the resulting equation:

4 ft * (8 ft + h) = 8 ft * h

4(8 + h) = 8h

32 + 4h = 8h

32 = 4h

Divide both sides of the equation by 4:

8 = h

Therefore, the height of the tree is 8 feet.

\(64\)

//

\(64 \div 4 = 16\)

\(16 - 3 = 13\)

Answer:

the awnser is 64

Step-by-step explanation:

you divide 16 by 4 and then you subtract 3

Answer:

1800 m²

Step-by-step explanation:

Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have

rate × area = cost

area = cost/rate = 13760/40 = 344 m²

Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².

Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.

So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.

The area of the rectangular field is thus the inner area plus the area of the uniform path

So, 2B² - 12B + 16 + 344

We equate this the the area of the rectangular field. So,

2B² - 12B + 16 + 344 = 2B²

- 12B + 16 + 344 = 2B² - 2B²

- 12B + 360 = 0

- 12B = -360

B = -360/-12

B = 30 m

Since the area of the field A' = 2B²,

A' = 2(30 m)²

= 2(900 m²)

= 1800 m²

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.

First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),

            2.5%      x     25,000     =     ?

           2.5/100   x    25,000     =  625

So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).

In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:

amount of the new salary =  amount of the old salary + percent increase

                                       =     $25,000 +   $625

                                       =       $ 25,625

When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.

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If faucet allows 14 2/3 gallons of water to enter in the pool and drain allows 16 3/4 gallons of water to leave the pool then the change in the amount of water after 1 1/2 minutes is basically -3 1/8 gallons of water.

Given that faucet allows 14 2/3 gallons of water to enter in the pool and drain allows 16 3/4 gallons of water to leave the pool.

We are required to find the change in the amount of water of the pool in the mixed fraction.

Fraction is basically the number which is in division form and not fully divisible. Mixed fraction is like a b/c. It can be expanded as (c*a+b)/c.

In 1 minute amount of water allowed to enter by faucet=44/3 gallons

In 1/2 minute amount of water allowed to enter by faucet=44/(3*2)

=22/3 gallons

Total water that can enter in 1 and half minute=44/3 +22/3=66/3

=22 gallons

In 1 minute amount of water allowed to leave by drain=67/4 gallons

In 1/2 minute amount of water allowed to leave by drain=67/8 gallons

Total water that can leave in 1 and half minute=67/4 +67/8

=201/8 gallons

Change in amount of water=22-201/8

=-25/8

Since it is coming negative so this shows the loss of water.

Mixed fraction=-(8*3+1)/8=-3 1/8

Hence if faucet allows 14 2/3 gallons of water to enter in the pool and drain allows 16 3/4 gallons of water to leave the pool then the change in the amount of water after 1 1/2 minutes is basically -3 1/8 gallons of water.

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Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and  Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.

Slope of a line can be calculated using the formula:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Here, m = slope and (x1, y1), (x2, y2) are two points on the line,

Calculating the slope of line 1 whose points are (-3, 8), (0, 4)

\(m = \frac{4 - 8}{0 - (-3)}\)

m = -4/3

Calculating the slope of line 2 whose points are (4, 4), (-4, -2)

\(m = \frac{-2 - 4}{ -4 - 4}\)

m = 3/4

Calculating the slope of line 2 whose points are (4, 1), (8, 4)

\(m = \frac{4 - 1}{ 8 - 4}\)

m = 3/4

Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,

Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

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- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

We have,

Nesting Gift Boxes:

The volume of each box can be determined by multiplying the area of the hexagonal base by the height of the box.

Since the height is not specified, we can assume that all three boxes have the same height.

Comparing the volume of each box:

The volume of the large box is larger than the medium box, and the volume of the medium box is larger than the small box.

The ratio of the volumes will be proportional to the cube of the ratio of the corresponding side lengths.

Similar Pyramids:

a. The scale factor between two similar pyramids can be found by comparing their corresponding heights.

In this case, the scale factor is 9/6 = 3/2.

b. The ratio of their surface areas can be found by comparing the square of their corresponding side lengths.

Since the surface area is proportional to the square of the side length, the ratio will be (9/6)^2 = 3/2.

c. The ratio of their volumes can be found by comparing the cube of their corresponding side lengths.

Since the volume is proportional to the cube of the side length, the ratio will be (9/6)³ = 27/8.

Larger Hamster Ball:

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

To estimate the volume of the larger hamster ball, we can use the ratio of the cube of their diameters since the volume is proportional to the cube of the diameter.

The ratio of their volumes will be (14/8)³ = 3.375.

Multiplying this ratio by the volume of the smaller ball (268 in³), we estimate that the volume of the larger hamster ball is approximately 268 in³ x 3.375 ≈ 905 in³.

Error Analysis:

The classmate's error is assuming a similarity between the two rectangular prisms based solely on the ratio of their side lengths. Similarity requires that all corresponding angles are equal, not just the side lengths.

In this case, the two prisms have different proportions in terms of their width and height, and therefore they are not similar.

Similar Cylinders:

The lateral area of a cylinder is proportional to its height.

Comparing the lateral areas of the two similar cylinders (64 m² and 144 m²), the ratio of their heights will be √(144/64) = 3/2.

Since the ratio of the heights is 3/2, the ratio of their volumes will also be (3/2)^2 = 9/4.

Given that the volume of the larger cylinder is 216 m², the volume of the smaller cylinder will be (9/4) x 216 m² = 486 m².

Similar Prisms:

a. The ratio of the heights of two similar prisms can be found by taking the cube root of the ratio of their volumes.

In this case, the ratio of their volumes is 5000 ft³ / 135 ft³ = 37.04.

Taking the cube root of 37.04, we find that the ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases will be the square of the ratio of their side lengths.

Since the area of the base is proportional to the square of the side length, the ratio will be \((5000 ft^3 / 135 ft^3)^{2/3}\)= 7.07.

Thus,

- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

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Answer:

AB = 18 m . Thus, the original height of the tree = 18 m.

Step-by-step explanation: