Find the volume of the silo if the radius of the hemispherical top is 20 feet and the height of the cylinder is 50. Use 3. 14 for pi

There are three neighboring stores in a mall that offer discount coupons. These are store A, store B, and store C. Each store has a different number of envelopes, with store A having 300 envelopes, store B having 600 envelopes, and store C having 900 envelopes. The number of coupons in each envelope also varies, with some containing one, two, or three coupons. The table provided shows the distribution of envelopes in each store based on the number of coupons they contain.

Rebecca, the first customer for all three stores, randomly selects an envelope from each store and receives four coupons in total. To find the probability that she received two coupons from store A, we need to use conditional probability. Let's call the event of Rebecca receiving two coupons from store A as event A. We can use the formula P(A|B) = P(A and B) / P(B), where B is the event of Rebecca receiving four coupons in total.

To calculate P(B), we need to consider all the possible combinations of envelopes that Rebecca could have selected to receive four coupons in total. Since there are three stores, each with envelopes containing one, two, or three coupons, there are a total of 27 possible combinations. We can list these combinations and count the ones that result in four coupons, which are: (1, 1, 2), (1, 2, 1), and (2, 1, 1). Therefore, the probability of Rebecca receiving four coupons in total is 3/27.

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The speed is slightly faster than the correct speed for a circular orbit of that radius due to the change in the elliptical orbit and can be adjusted by using thrusters or other drive systems. 

When the satellite is at the desired altitude above the equator, its velocity vector is tangent to the circular orbit of the orbit and points in the correct direction.

In any case, due to the gravitational drag of the Soil and the shape of the planet, the satellite's speed must be calculated precisely for circular circles of this sweep.

In case the satellite's speed is marginally higher than the right speed for a circular circle of that span, the disciple follows a marginally curved circle rather than a culminated circle.

This is because the satellite has more kinetic energy than is required for a circular orbit. This abundance of vitality causes the toady to move absent from the Soil at a few focuses in its circle and closer to the Soil at another point.

Over time, this elliptical orbit can cause the satellite's elevation to alter, which can be risky for certain applications such as communications and climate determination.

To preserve a circular circle, the satellite's speed must be adjusted appropriately. This can be regularly done utilizing thrusters or other drive systems. 

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Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:

ç

Step-by-step explanation:

Answer:

The four consecutive multiples of three are 6, 9, 12, and 15

Step-by-step explanation:

let the first multiple of 3 = n

second multiple of 3 = (n + 3)

third multiple of 3 =(n + 6)

fourth multiple of 3 =(n + 9)

product of the first and the third = n(n + 6) = n² + 6n

eight times the fourth number = 8(n + 9) = 8n  + 72

The difference between the two =  n² + 6n - (8n  + 72) = -48

n² + 6n - 8n  - 72 = -48

n² - 2n =  -48 + 72

n² - 2n = 24

n² - 2n - 24 = 0

n²  - 2n - 24 = 0

n² + 4n - 6n - 24 = 0

n(n + 4) - 6(n + 4) = 0

(n - 6)(n + 4) = 0

n = 6    or  - 4

n should be a positive number, thus n = 6

The second multiple of 3 =  (n + 3) = 6 + 3 = 9

The third multiple of 3 =(n + 6) = 6 + 6 = 12

The fourth multiple of 3 = (n + 9) = 6 + 9 = 15

(a) q = 13; (b) p = 1; (c) P = $169.

Given:C(q) = 80 + 13qp = 65 - 2q

(a) We know that the profit function is given by:P(q) = q.p(q) - C(q)

Substituting the given expressions for p and C(q), we get:

P(q) = q(65 - 2q) - (80 + 13q)

Simplifying, we get:P(q) = -2q² + 52q - 80

To find the value of q that produces maximum profit, we differentiate P(q) with respect to q and equate it to zero, and solve for q:P'(q) = -4q + 52 = 0q = 13

Therefore, the number of units that produce maximum profit is 13.

(b) Given p = 1, we can find the maximum profit by substituting q = 13 and p = 1 in the profit function,

P(q):P(13) = 13(65 - 2(13)) - (80 + 13(13))= 169

Therefore, the price per unit that produces maximum profit is $1.

(c) The maximum profit is $169.

Therefore, (a) q = 13; (b) p = 1; (c) P = $169.

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Hi there, here's your answer:

Given the equation p(x) = 2x - 7 = 9

Taking 7 to the right hand side we get

2x  = 9 + 7 = 16

Or

x = 8

Thus, the required solution for this equation is x = 8.

Hope it helps! Please mark as brainliest!

Answer:

\( \sf \: x = 8\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2x - 7 = 9

Then the value of x will be,

→ 2x - 7 = 9

→ 2x = 9 + 7

→ 2x = 16

→ x = 16 ÷ 2

→ [ x = 8 ]

Hence, the value of x is 8.

Answer:

60%

Step-by-step explanation:

27/45 = .6

.6 = 60%

The equation that shows the amount of water in gallons remaining in the water tank in terms of time t is A = 50 - t/2.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Amount of water initially = 50 gallons

Leakage of water in 2 hours = 1 gallon.

Leakage in t hour = t/2 gallons.

Thus,

Amount = 50 - t/2

A = 50 - t/2

Hence "The equation that shows the amount of water in gallons remaining in the water tank in terms of time t is A = 50 - t/2".

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The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.

The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.

Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. So, the population parameters are:

Mean=μ=10,000

Standard Deviation=σ=1,500

We need to find the number of steps he would have to take to make the cut for the top 5% for his distribution.

Step 1: We need to find out the z-score for the top 5% of the distribution.

We can find out the z-score for the top 5% of the distribution using the standard normal distribution table. The table value of z for 0.05=1.645. Check the attachment.

Step 2: We can use the z-score formula to find out the value of X for the top 5% of the distribution.

z=(X-μ)/σ

Rearranging the above equation, we get:

X=μ+z.σ

X=10,000+1.645×1,500

X=12,031.5

Therefore, It would take him 12,031.5 steps to make the top 5% for his distribution.

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The largest volume of the bag when an airline requires that the total outside dimensions (length width height) of a checked bag not exceed 77 inches is 16,513.72 inches³

the maximum volume can be calculate as follow :

let the length is L

L+W+W= 77

L= 77- 2W

so Volume, V = LWH

V= (77-2W) x W xW

V = 70 W²- 2W³

V' = 140 W- 6 W²

set to 0

140 W- 6 W² =0

factorize

W( 140- 6W) =0

split them

W= 0 or 140-6W =0

the width can't be 0 so we have,

140 = 6W

W = 23.33 inches

so the maximum volume is

V= LxWxH

V= (77-2W) x W xW

V =(77- (2) 23.33) x 23.33 x 23.33

V= 30. 34 x 23.33 x 23.33

V = 16,513.72 inches³

therefore, The largest volume of the bag is 16,513.72 inches³

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"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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The value of k in the equations is 2/3

From the question, we have the following parameters that can be used in our computation:

y = 9kx - 1

kx + 4y = 12

This can be expressed as

y = 9kx - 1

y = -kx/4 + 3

The slopes of perpendicular lines are opposite reciprocal

This means that

9k * -k/4 = -1

So, we have

k^2 = 4/9

Evaluate

k = 2/3

Hence, the value of k is 2/3

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The standard deviation of the sample is 200.

As per the data given:

The distribution of prices for a certain car model is approximately normal with a mean of $21,800 and a standard deviation of $400.

The mean of the data will be $21,800.

The standard deviation of the data will be $400

A random sample of 4 cars of the model is to be selected.

That is n = 4

Here we have to determine the standard deviation of the sample.

By examining the square root of the variance, standard deviation measures how far apart a set of data is from the mean.

Therefore the standard deviation of the Sampling distribution of \($\bar{x}$\) is:-

\($ \sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}} \\\)

\($\Rightarrow & \sigma_{\bar{x}}=\frac{400}{\sqrt{4}} \\\)

\($\Rightarrow & \sigma_{\bar{x}}=\frac{400}{2} \\\)

\(\Rightarrow & \sigma_{\bar{x}}\) = 200

Therefore the standard deviation of the Sampling distribution \($\bar{x}$\) is 200

Hence option (a) is the correct answer

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The statement "In the statement ~(M ⊃ X)~) governs the simple statement M" is false

From the question, we have the following parameters that can be used in our computation:

In the statement ~(M ⊃ X)~) governs the simple statement M.

In logic and binary, the negation of an implication (M ⊃ X) is written as ~(M ⊃ X), which is read as "not (M implies X)".

This statement does not govern or control the simple statement M. The simple statement M can be true or false independently of the negation of the implication.

In other words, the truth value of ~(M ⊃ X)is dependent on the truth values of both M and X, not just M.

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Answer:

x = 3 feet

Step-by-step explanation:

Perimeter of a rectangle = 2 x ( length + width)

Perimeter = 6x + 14

length = 3x

width = 2x + 1

Substitute the dimensions in the equation for the perimeter of a rectangle

2 (3x + 2x + 1) = 6x + 14

Divide both sides of the equation by 2

3x + 2x + 1 = 3x + 7

5x + 1 = 3x + 7

Collect like terms

2x = 6

divide both sides by 2

x = 3

Answer:as a fraction it would be 11 3/5

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

Other app= 10.01 - 5.21 = 4.8

The answer is 4.8kb

Hope this helps :)

Have a nice day!

Answer:

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

In the box plot, the following rules apply:

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

The right whisker extends from 26 to 28.

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Box plot has boxes with some lines ( called whiskers ).

Box plot on the graphical level tells about 5 points:

There is starting whisker or left whisker denoting point minimum (Q0) and extends from there the line to Q1 ( first quartile).

Then the box starts which starts from Q1 and touched Q3. In the middle it passes through Q2 ( The median of the data ), and thus has a line in it.

At last, there is end whisker or right whisker denoting end quantile or Q4 (the maximum point).

Given data:

Left whisker extends from 16 to 18.

     Thus Q0 = 16

              Q1 = 18

Box plot starts from 18 and extends to 26, and is split by a vertical line segment at 22.

    Thus Q2 = 22

             Q3 = 26

The right whisker or end whisker extends from 26 to 28

    Thus Q4 = 28.

Thus the description of data is given as:

\(Q_0 = Minimum = 16\\Q_1 = First\: quartile = 18\\Q_2 = Second \:quartile = Median= 22\\Q_3 = Third\: quartile = 26\\Q_4 = Maximum = 28\\\)

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There are 30 different combinations of two members who can be selected to serve on the spring formal committee.

Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.

To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.

In this case, n = 6 and k = 2,

so we have

=> 6P2 = 6!/(6-2)!

=> 6!/(4!) = 6 x 5/1 = 30.

So, there are 30 possible spring formal committees that can be formed from the six members of the student council.

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Answer:

what is this on

Step-by-step explanation:

Answer:

a) the average of change for the number of bacteria from 0 to 6.8 hours is

\(the \: average \: of \: change \: = \frac{2292 - 1000}{6.8 - 0} = 190 \: bacteria \: per \: hour\)

b)

\(the \: average \: rate\: of \: change \: from \: 10.2 \: to \: 13.6 \: hours \: = \frac{5080 - 3856}{13.6 - 10.2} = 360\)

The volume of the rectangular prism is 1.6 cubic inches.

Let's start by finding the number of cubes that can fit in each dimension of the rectangular prism. Since each cube has an edge length of 1/5 inch, the length, width, and height of the rectangular prism must be multiples of 1/5 inch. Let's call the length of the rectangular prism "L", the width "W", and the height "H". Then we have

L = 1/5 × x

W = 1/5 × y

H = 1/5 × z

where x, y, and z are integers.

Since the rectangular prism is completely packed with 200 cubes, we have

x × y × z = 200

We want to find the volume of the rectangular prism, which is given by

V = L × W × H = 1/5 × x × 1/5 × y × 1/5 × z = 1/125 × x × y × z

Substituting x × y × z = 200, we get

V = 1/125 × 200 = 8/5 = 1.6 cubic inches

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The given question is incomplete, the complete question is:

A rectangular prism is completely packed with 200 cubes of edge length fraction 1/5 inch, without any gap or overlap. find the  volume of this rectangular prism

The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

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Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

The combination of samples is 80% likely to contain no defective televisions.

A combination appears to be a statistical technique for estimating the number of potential configurations in a collection of objects where the sequence of anything like the option is immaterial. Organize the elements in every order to choose. Permutations & combinations are commonly misunderstood.

Evaluate just non-faulty TVs to identify the same amount of ways in which the picked TVs are not defective. Because there are two faulty televisions out of 16, the amount of non-faulty sets is two.

= 10 - 2

= 8

Two non-defective televisions must be picked from a pool of twelve. There are several ways to accomplish this:

= ((10 × 9 × 8 × 7 ....) ÷ ((2 × 1) × (8 × 7 × 6...))  = 8!/2!((10- 2)!) = 80.

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