A club with college students is doing volunteer work this semester. Each student is volunteering at one of four locations. Here is a summary. Location Number of students Pet shelter Tutoring center Hospital Nursing home Three students from the club are selected at random, one at a time without replacement. What is the probability that none of the three students volunteer at the hospital

Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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The probability of receiving exactly 6 purchase orders in 5 minutes is 0.104, or about 10.4%.

The mean of the Poisson distribution is λ, which represents the average number of events in a given time period. In this case, the company receives an average of 0.8 purchase orders per minute, so the mean number of purchase orders in 5 minutes would be:

λ = (0.8 orders/min) x (5 min) = 4 orders

Thus, the Poisson distribution for the number of purchase orders in 5 minutes has a mean of 4. To calculate the probability of receiving 6 purchase orders in 5 minutes, we use the Poisson probability formula:

\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)

where X is the random variable representing the number of purchase orders in 5 minutes.

Plugging in the values, we get:

\(P(X = 6) = (e^(-4) * 4^6) / 6! = 0.104\)

Therefore, the probability of receiving exactly 6 purchase orders in 5 minutes is 0.104, or about 10.4%.

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Step-by-step explanation:

is there more to the question?

Answer:

Between D and E because the slope is the steepest.

Hope this helps!

Answer:

Your answer is B

Step-by-step explanation:

Looking at the graph, you see three places where the data declines. The second decline is the steepest of the three.

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Answer:

What was the regular price of the T-shirt?

What question is being asked in this word problem?

What is the regular price of the skirt?

How much money does Jill have left?

How much does the T-shirt normally cost?

What is the amount Jill pays in sales tax?

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

Due to the exponential growth of bacteria it only took 10 minutes to fill 3 additional empty bottles.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes.

Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.

The answer needed is -

The full bottle doubled after 5 minutes.

The 2 full bottles doubled after 5 minutes.

Exponential growth is a multiplicative rate of change.

Therefore, due to exponential growth bacteria filled the bottle fast.

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Answer:

The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.

Answer:

A

Step-by-step explanation:

Answer:

Solve steps for F(x) equations.

Step-by-step explanation:

The incorrect statement regarding the prior adjustment is option c. Prior period adjustments are not recognized as adjustments to the current year's closing retained earnings balance.

Prior period restatements relate to restatements made due to errors or omissions in the prior period financial statements. These adjustments may be the result of mathematical errors, errors discovered in later periods, or changes in accounting principles. The purpose of restoring prior periods is to ensure the accuracy and reliability of financial statements. Option a is correct. Prior period adjustments may be due to prior period mathematical errors. Option b is also correct. This is because prior adjustment from previous periods can be identified in the period after the error occurred.

However, option c is incorrect. This is because adjustments from prior periods are not reported as adjustments to the current period's ending retained earnings balance. Instead, retained earnings are reported directly on the statement of retained earnings or as a separate line item on the income statement. Prior period adjustments affect retained earnings balances, but are not treated as adjustments to period-end retained earnings balances. So the correct answer is d. Choices a, b, and c are correct except choice c. 

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Answer: 2\(\sqrt{2}\)

Step-by-step explanation: First plug in the value, which is \(\sqrt{8}\)

Then divided to 2\(\sqrt{2}\)

The area of the polygon is approximately 497.41 square centimeters.

A polygon is a two-dimensional geometric shape that is made up of straight lines connected end to end to form a closed shape. A polygon must have at least three sides, and each side must intersect with exactly two other sides.

The exterior angle of a regular polygon is equal to 360 degrees divided by the number of sides. So, if the exterior angle is 20 degrees, the number of sides can be found by dividing 360 by 20, which gives us 18.

Each interior angle of a regular polygon can be found using the formula:

Interior angle = (n - 2) x 180 / n

where n is the number of sides. For an 18-sided polygon, the interior angle is:

(18 - 2) x 180 / 18 = 160 degrees

Apothem = (Side length) / (2 x tan(π/n))

where n is the number of sides. Plugging in the values, we get:

Apothem = (6) / (2 x tan(π/18)) = 6 / (2 x 0.32492) ≈ 9.2367 cm

Finally, we can use the formula for the area of a regular polygon:

Area = (1/2) x Apothem x Perimeter

where Perimeter is just the side length multiplied by the number of sides. Plugging in the values, we get:

Perimeter = Side length x Number of sides = 6 x 18 = 108 cm

Area = (1/2) x 9.2367 x 108 ≈ 497.41 cm²

Therefore, the area of the polygon is approximately 497.41 square centimeters.

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Answer:

Step-by-step explanation:

Radius is 1/2 of the diameter

or

Diameter is 2 of the radius

Answer:

x= -4

Step-by-step explanation:

Answer:

the correct answer is A . because the in the division problem 2.53 is divided by 23 so in fraction form it will be like 2.53/23!!

Step-by-step explanation:

Answer:

rwrrwrwrr

Step-by-step explanation:

wrrwrrw

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 3x - 2y = 30 ( add 3x to both sides )

- 2y = 3x + 30 ( divide terms by - 2 )

y = - \(\frac{3}{2}\) x - 15 ← in slope- intercept form

To determine the number of hours it took to service your mower when the charge was $90, we need to subtract the fixed service call fee ($50) from the total charge and then divide the remaining amount by the hourly rate of $80.

Let's denote the number of hours it took to service the mower as 'h'. The total charge for the service is given as $90.

To find the number of hours, we first subtract the fixed service call fee of $50 from the total charge: $90 - $50 = $40.

Next, we divide the remaining amount ($40) by the hourly rate of $80: $40 / $80 = 0.5 hours.

Therefore, it took 0.5 hours (or 30 minutes) to service your mower when the charge was $90.

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The python code is written(image).

In this code, we first import the random module which provides functions for generating random numbers. We then set the number of coin tosses to 100, and initialize variables to keep track of the number of heads and tails. Next, we use a for loop to simulate each coin toss. Inside the loop, we use the random. Choice function to randomly choose between 'heads' and 'tails'. If the result is 'heads', we increment the num_heads variable, otherwise we increment num_tails.

Finally, we print out the total number of heads and tails that were observed over the 100 coin tosses.

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--The complete question is, Write a python code to stimulate a coin tossing environment using random functions and using a for loop - toss the coin 100 times and print the number of heads and tails.--

We need to remove the decimal and multiply and divide by 10, resulting in 0.4/1 x 10/10 = 4/104/10. This can be further reduced to 2/5, so 0.4 as a fraction is 4/10 or 2/5.

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fraction" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

In Ancient Rome, fractions were only written using words to describe a part of the whole. In India, the fractions were first written with one number above another (numerator and denominator), but without a line. It was the Arabs only, who added the line which is used to separate the numerator and the denominator.

First, we need to remove the decimal.

For that, we multiply and divide by 10 as there is only one digit after the decimal.

We get, 0.4/1 x 10/10 = 4/10

4/10 can further be reduced to 2/5

Hence, we can say that 0.4 as a fraction is 4/10 or 2/5.

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a) If the motorcycle starts from rest, then we have an initial speed equal to zero (V0 = 0), with this we can choose a formula that does not contain the initial speed, now we also know that what it asks us is the time that it takes a certain speed to pass, so the formula we will use will be:

\(\bf{\displaystyle d=\frac{a{{t}^{2}}}{2}}\)

Clearing "t"

\(\boldsymbol{\sf{t=\sqrt{\dfrac{2d}{a} } } }\)

The distance is in Kilometers, we first need to pass this distance in meters, so we'll need to do our conversion:

\(\boldsymbol{\sf{1.6\not{km}*\dfrac{1000 \ m}{1\not{km}}=1600 \ m } }\)

1.6 km = 1600m

Substituting our data into the formula:

\(\boldsymbol{\sf{t=\sqrt{\dfrac{2d}{a} }=\sqrt{\dfrac{2(1600 \ m) }{9.45 \ \frac{m}{s^2} } }=84.32 \ s } }\)

So the motorcycle will take 84.32 seconds to travel 1600 meters.

b) Since we are asked to obtain the speed in the time it took for the 1600 meters, we are going to use the following formula.

\(\boldsymbol{\sf{V_{f}=at }}\)

Substituting our data:

\(\boldsymbol{\sf{V_{f}=at=\left(0.45 \ \dfrac{m}{\not{s^{2}} }\right)(84.23 \ s)=37.94 \ \dfrac{m}{s} }}\)

In order to express the final result of the speed, in terms of km/h, we would only apply the conversion factors.

\(\boldsymbol{\sf{V_{f}=37.94\dfrac{\not{m}}{\not{s}}*\dfrac{1 \ km}{1000\not{m}}*\dfrac{3600\not{s}}{1 \ h}=136.58 \ \dfrac{km}{h} }}\)

Answer:

Should be right and scalene

The answer is 18.

i hope this will work

Answer:

(-4,-3)

Step-by-step explanation:

As we can see on the graph, we need to see where the two lines intersect. We see that they cross at (-4,-3). That is the solution to the graph.

The probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

b) To find the probability that exactly 4 children would draw the nickel too small, we can use the binomial probability formula. The formula is: P(X = k) = (nCk) * (p^k) * (q^(n-k)), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, n = 8 (as 8 children are chosen), k = 4 (as exactly 4 children drawing the nickel too small), p = 0.15 (as the probability of a child drawing the nickel too small), and q = 1 - p = 1 - 0.15 = 0.85.

So, the probability that exactly 4 children would draw the nickel too small is: P(X = 4) = (8C4) * (0.15^4) * (0.85^(8-4)).

c) To find the probability that at least one child would draw the nickel too small, we can use the complement rule. The probability of at least one success is equal to 1 minus the probability of no success.

The probability of no success (all children drawing the nickel of the right size) is given by: P(X = 0) = (8C0) * (0.15^0) * (0.85^8).

Therefore, the probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

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Answer:

64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44

Step-by-step explanation:

Answer: this is correct

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The transformation of the shape is most definitely correct.

Step-by-step explanation:

525 - 75 = 450

18 for ever one

equals to 450

18x = 450

450÷18 = x

450 ÷ 18 is

comment and i will check

please put brainest

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60   (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2