The gymnastics center where Shannon works has a rectangular pit filled with foam. The pit is 6 meters long, 5 meters across, and 3 meters deep. What is the volume of the pit?

Answer:

b.

Step-by-step explanation:

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Step-by-step explanation:

The other side is given by

\(5 {}^{2} - 3 ^{2} \)

Whic is 4

-

The line of best fit for this set of points is y = -1.00x + 9.00.

Coefficient is a value that is used to indicate the degree or amount of a certain property or characteristic. It is usually used in mathematics and physics, and is a numerical measure of how two variables are related. For example, the coefficient of friction is a number that indicates how much resistance there is between two surfaces when one is sliding over the other. In economics, the coefficient of elasticity is used to measure how much of a change in one variable affects a change in another.

Linear regression is a technique used to find the line of best fit for a given set of points. To use linear regression, we must first calculate the mean of all the x and y coordinates. The mean of the x coordinates is 4, and the mean of the y coordinates is 4.5.

We then calculate the sum of the squared differences between the x and y coordinates and their respective means. This sum is 36.5.

Next, we calculate the sum of the products of the differences between the x and y coordinates and their respective means. This sum is -25.

Using the formula for linear regression, we can calculate the slope of the line of best fit. The slope is -1.00.

To calculate the y-intercept of the line of best fit, we use the slope and the mean of the x and y coordinates. The y-intercept is 9.00.

The line of best fit for this set of points is y = -1.00x + 9.00.

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The four main principles of randomized experiments are:

True, True, False, True, and True

1. True: Confounding variables can make it harder to draw conclusions from a study because they can obscure the effect of the treatment being studied. Confounding variables are extraneous factors that can affect the outcome of the study and mimic or mask the effect of the treatment being studied.

2. True: In a randomized experiment, the treatment and control groups are designed to be as similar as possible in terms of all relevant factors, except for the treatment itself. This helps to ensure that any observed differences between the groups can be attributed to the treatment being studied, rather than to other factors that might affect the outcome.

3. False: Observational studies are generally considered to be less reliable than randomized experiments because they are subject to a number of biases that can affect the results. For example, observational studies often involve selection bias, in which certain groups are more likely to be included in the study, and measurement bias, in which the measurements used in the study are not accurate or reliable.

4. True: The four main principles of randomized experiments are:  

5. True: In a double-blind study, neither the investigators nor the subjects know who is receiving which treatment. This helps to reduce the potential for bias and increase the reliability of the results, by ensuring that neither the investigators nor the subjects can influence the outcome of the study based on their knowledge of the treatment assignments.

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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The equation you used is correct, but the differential equation does not include the growth rate. The growth rate is proportional to the current population, so the differential equation should look like this:  dp/dt = kP - 20,000t

dp/dt = kP - 20,000t  , Where k is the growth rate. To solve this equation, we can use the separation of variables: dp/P = kdt - 20,000tdt

Integrating both sides, we get:

ln|P| = kt - 20,000t^2/2 + C, Where C is the integration constant. To find C, we can use the initial population of 200,000:

ln|200,000| = -0.099t - 20,000t^2/2 + C

=>C = ln|200,000| + 0.099t + 20,000t^2/2  .Therefore, the population of mosquitoes at any given time t is:

P = 200,000e^(-0.099t - 20,000t^2/2 + ln|200,000| + 0.099t + 20,000t^2/2)  = 200,000e^(ln|200,000|)  = 200,000

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Answer:

52510

Step-by-step explanation:

590x89=52510

(hope it help??)

Answer:

52510

Step-by-step explanation:

googl

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.

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The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

B.

Step-by-step explanation:

The answer is B.  If you go down from the y intercept 2 times, and then to the right 3 times, you get to the x intercept.

Answer: y = -2/3x + 2

Step-by-step explanation:

The graph shows a constant negative slope and also has a y-intercept.

The y-intercept is the point that intersects the y axis. We see that the point (0,2) intersects the y- axis, and we can use the positive value 2 at the end of equation of a line:  y = mx + b

# = number

The slope is rise/run, or the # of y/# of x -> 2/3

since the slope is going downward, the slope would be negative -> -2/3

So the equation of the line is : y = -2/3x + 2

Answer:

Below

Step-by-step explanation:

18.   DHJ

19.  AJB

20.  75

21.  130

Answer:

A. No, it is not possible. An equilateral triangle is also an equiangular triangle, meaning all of its angles measure 60°.

B. Yes, it is possible. By the Triangle Inequality Theorem:

15 + 15 > 20, and 20 + 15 > 15

The simple interest on $5400 at a rate of 10% per annum for 3 years is $ 1620

The interest on a loan at a fixed rate per annum. The formula used for simple interest is given by

Simple interest (I) = ptr

Where p = principal amount

t = time period

r = rate of interest per year.

Here we have

The sum of $5400 was borrowed from a bank at a rate of 10% per annum for 3 years

Find the simple interest that can be payable

From above observations

Principal amount, P = $5400

Rate of interest = 10% = 10/100 = 0.1

Time period, t = 3 years

The simple interest that can be payable = $5400(3)(0.1) = $ 1620

Therefore,

The simple interest on $5400 at a rate of 10% per annum for 3 years is $ 1620

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Answer:

6

Step-by-step explanation:

hope it helps

The pivot positions of the matrix are 1, 3, 5, and 7.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

In this case, all the given options (A, B, C, and D) contain the same numbers and have the same structure, so we can examine any one of them to determine the pivot positions.

The pivot positions in the given matrix can be found as follows:

The first pivot position is in the first row, first column (1).

The second pivot position is in the second row, second column (3).

The third pivot position is in the third row, third column (5).

The fourth pivot position is in the fourth row, fourth column (7).

So, the pivot positions in the matrix are 1, 3, 5, and 7. These are the bold values in the matrix and indicate the leading entries after row operations have been performed.

Complete Question:

Identify the pivot positions in the original matrix. The pivot positions are indicated by bold values. Choose the correct answer below.

A.1 2 3 4 3 4 5 6 5 6 7 8

B.1 2 3 4 3 4 5 6 5 6 7 8

C.1 2 3 4 3 4 5 6 5 6 7 8

D.1 2 3 4 3 4 5 6 5 6 7 8

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The scale is

0.5 cm = 1 inch

Multiply both sides by 2 to get

1 cm = 2 inches

To convert from the scale drawing to the actual dimensions, we will multiply by 2.

The scale length is 2.5 cm, which converts to 5 inches after multiplying by 2.

The scale width is 4.75 cm which converts to 9.5 inches after multiplying by 2.

The 2.5 cm by 4.75 cm flag on paper corresponds to a 5 inch by 9.5 inch flag in real life.

The period of some number of  consecutive days during which the team must  play exactly 14 games should be that 2 games plays at  these days  1,5,10,15,20,25,30 individually....

As there are 30 days in a month.

So we have to arrange these 14 games during this time period of 30 days,

Which will be arranged as:

suppose its 1 st month of 2023,

So,

2 games at day  =    1/1/2023

2 games at day   =    5/1/2023

2 games at day   =    10/1/2023

2 games at day   =    15/1/2023

2 games at day   =    20/1/2023

2 games at day   =    25/1/2023

2 games at day   =    30/1/2023  

So from here we conduct:

2+2+2+2+2+2+2=  14 games

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The speed from City A to City B is 352 miles/hour.

Given:

Distance for trip = 1600 miles

Distance for return trip = 1600 miles

The round-trip took 8 h 20 min.

Total time taken for both trips = 8 hours 20 minutes = 8 + (1/3) hours = 25/3 hours

It is mentioned that on the return trip, the average speed was 20% faster than the outbound speed.

Let's assume x is the speed for an outbound trip.

So, x + 20% of x is the average speed of the return trip

x + 20% of x = x + 0.2x = 1.2x

Speed for the return trip = 1.2x

Total time = (distance/speed of outbound trip) + (distance/speed of return trip)

⇒ \(\frac{25}{3} =\frac{1600}{x} +\frac{1600}{1.2x}\)

⇒ \(\frac{25x}{3} =\frac{1600*1.2 +1600}{1.2}\)

⇒ \(10x = 3520\)

⇒ \(x = 352\)

Therefore, the speed from City A to City B is 352 miles/hour.

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Answer:

Step-by-step explanation:

This should help I hope

These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.

Obtuse: c^2 > a^2 + b^2

Acute: c^2 < a^2 + b^2

Right: c^2 = a^2 + b^2

#7 --- Obtuse

21^2 ___ 8^2 + 15^2

441 ___ 64 + 225

441 > 289

#8 --- Right

20^2 ___ 12^2 + 16^2

400 ___ 144 + 256

400 = 400

#9 --- Acute

6^2 ___ 4^2 + 5^2

36 ___ 16 + 25

36 < 41

Hope this helps!

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Step 1: Set up the expression.

Step 2: Multiply 2/9 by the reciprocal of 1/2.

Therefore, two ninths divided by one half equals 4/9.

Answer:

x = 3

y = 1

Step-by-step explanation:

x= 5-2y

6x + 11y = 29

6( 5 - 2y ) + 11y = 29

30 - 12y + 11 y = 29

-y = -1

y = 1

x + 2y = 5

x = 5 - 2y

x = 5 - 2

x = 3

Answer:

17.5

Step-by-step explanation:

You can find the mean of a data set by adding all numbers in the data set together and dividing by the amount of numbers in the given data set.

In this case, your data set is:

15 , 16 , 17 , 23 , 11 , 19 , 20 , 15 , 18 , 22 , 15 , 19   (12 numbers).

Firstly, add all the numbers together: \(15 + 16 + 17 + 23 + 11 + 19 + 20 + 15 + 18 + 22 + 15 + 19 = 210\)

Next, divide 210 (total sum) with the amount of terms in total (12):

\(\frac{(210)}{(12)} = 17.5\)

17.5 is already in the tenth digit place value, and so you do not need to round.

17.5 is your answer.

~

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Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."

The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:

1 / 750 = 0.001333

This means that for every 750 Hispanic females, one is expected to have the disease.

To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:

0.001333 * 26,000 = 34.658

So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

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Answer:

y = -16

Step-by-step explanation:

y = kx for proportion questions like this

y = kx

y = 64, x = -8

64 = -8k

Divide by -8 on each side

64/-8 = -8k/-8

-8 = k

Then to find y when x = 2, use y = kx again

y = kx

k = -8

x = 2

y = 2(-8)

y = -16

At x = 2 , the value of y will be ; y = -16.

It is given that y is directly proportional to the value of x and at x = - 8 , value of y is ; y = 64.

We have to calculate the value of y at x = 2.

What will be the value of y ; if x = 4 in equation x - y = 2 ?

The value of y will be , y = 2 .

Let's assume ;

y = k × x  ----- ------ ------ -------- ------ ----- ---- -------- Equation 1

It is given in the question that ;

at x = -  8 , y = 64

Putting these values in equation 1 to find the value of k.

⇒ 64 = - 8 × k

Dividing on both sides by - 8

⇒ k = - 8

Now , to find value of y at x = 2, we need to use equation 1 again ;

⇒ y = - 8 × 2

⇒ y = -16

Thus , at x = 2 , the value of y will be ; y = -16.

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Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

a)800

b)1200

c)300

Step-by-step explanation:

2+3=5

2000/5= 400

Answer:

a=$800 . b=$1200 . c=$300

Step-by-step explanation:

2000/5=400

400x2=800

400x3=1200

Answer:

She needs to descend 20 feet per descent.

Step-by-step explanation:

100/5 = 20