A rectangular prism is 3 yards long, 2 yards wide, and 12 yards high. What is the surface area of the rectangular prism?

Based on the information provided, the storage space that will be required for 75 is 1,687 cubic feet in total.

To begin, let's determine the storage space for a single crate and to do this, let's calculate the volume:

Volume: Lenght x height x width

Volume: 3 x 2.5 x 3 = 22.5 cubic feet

Now, let's calculate the space for 75 crates:

volume of one crate x 75 crates

22.5 x 75 = 1,687 cubic feet

Based on this, it can be concluded that 75 crates will occupy 1,687 cubic feet.

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Check the picture below.

[tex]\cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{A_2}\implies \cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{(36)}\implies \cfrac{8^2(36)}{36}=A_1\implies 8^2=A_1\implies \stackrel{ mm^2 }{64}=A_1[/tex]

The solution of the system of equations is (5, 2).

Here we want to solve the system of equations:

-3x + y = -13

4x - 2y = 16

By the elimination method.

If we take the first equation and we multiply it by 2, we will get:

2*(-3x + y) = 2*-13

-6x + 2y = -26

Now we can add the two equations to get:

(-6x + 2y) + (4x - 2y) = -26 + 16

-2x = -10

x = -10/-2

x = 5

And the value of y is given by evaluating one of the equations in x = 5, using the first one.

-3*5 + y = -13

-15 + y = -13

y = 15 - 13 = 2

The solution is (5, 2)

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Answer:|x-1|-2

Step-by-step explanation: see picture below!

The value of a is obtained as follows:

a = 5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

When two lines are perpendicular, the multiplication of their slopes is of -1.

Then the equation to obtain the value of a is given as follows:

0.5(1 - a) x 0.5 = -1.

0.25(1 - a) = -1

1 - a = -4

a = 1 + 4

a = 5.

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The regression analysis provides important insights into the relationship between single-parent households and student math performance.

To begin our analysis, we will run a simple linear regression of math4 on pctsgle. This will help us understand the relationship between the percentage of single-parent households in a school's ZIP code and the math performance of the students in that school.

Mathematically, the simple linear regression model can be written as:

math4 = β₀ + β₁pctsgle + ε

where math4 represents the average math score for a given school, pctsgle represents the percentage of single-parent households in the school's ZIP code, β₀ and β₁ are the intercept and slope coefficients respectively, and ε represents the error term.

After running the regression, we will obtain the following results:

math4 = 63.91 - 0.52pctsgle

Interpreting the results, we can see that for every one percent increase in the percentage of single-parent households in a school's ZIP code, the average math score of the students in that school decreases by 0.52 points.

The effect of single parenthood may seem small based on the slope coefficient of -0.52. However, it is important to note that this is just one variable and there may be other factors that could be contributing to the decrease in math performance.

Therefore, further analysis may be needed to fully understand the impact of single-parent households on student math performance.

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Complete Question:

Use the data in MEAPSINGLE to study the effects of single-parent households on student math performance. These data are for a subset of schools in southeast Michigan for the year 2000. The socioeconomic variables are obtained at the ZIP code level (where ZIP code is assigned to schools based on their mailing addresses).

Run the simple regression of math4 on pctsgle and report the results in the usual format. Interpret the slope coefficient. Does the effect of single parenthood seem large or small?

Answer: X=3  Y=8/5 and Z= 24/5

Step-by-step explanation:

The farmer needs to purchase 66 feet of fencing to enclose the rectangular region.

Let's call the length of the side of the rectangle that is parallel to the barn "2x" (since it is twice the length of the adjacent side), and let's call the length of the adjacent side "x". The length of the side opposite the barn is also "x", since it is opposite to the adjacent side.

We know that the area of the rectangle is 242 ft^2. The formula for the area of a rectangle is:

area = length * width

So we can write an equation for the area of the rectangle in terms of "x":

242 = 2x * x

Simplifying this equation, we get:

242 = 2x²

Dividing both sides by 2, we get:

121 = x²

Taking the square root of both sides, we get:

11 = x

So the adjacent side of the rectangle is 11 feet, and the side parallel to the barn is twice as long, or 22 feet.

To find the amount of fencing needed, we need to add up the lengths of all three sides that are not parallel to the barn. The formula for the perimeter of a rectangle is:

perimeter = 2 * length + 2 * width

Since one of the sides is the barn, we only need to add up the lengths of the two sides opposite the barn:

Perimeter = 2 * length + 2 * width

Therefore, the farmer needs to purchase 66 feet of fencing to enclose the rectangular region.

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A truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city might not reflect the actual situation in several ways.

Here are a few possible examples:

Underreporting or overreporting: The statistics might be based on police reports of stolen vehicles, which may not capture all incidents of vehicle theft in the city. For instance, some victims may not report the theft to the police, or some incidents may be misclassified as other types of crime. Similarly, the statistics might include some incidents that are not actually vehicle thefts, such as cases where the vehicle was recovered undamaged or cases where the vehicle was not actually stolen, but rather borrowed without permission.

Geographical bias: The statistics might show an overall rise in vehicle thefts, but fail to capture the fact that the increase is concentrated in certain parts of the city. For example, a rise in thefts in a particular neighborhood might be masked by a decrease in thefts in other areas of the city.

Seasonal or temporal bias: The statistics might show an increase in vehicle thefts over the course of a year, but fail to account for seasonal or temporal factors that could be driving the increase. For instance, thefts might be more common during certain times of year (e.g., the summer) or on certain days of the week (e.g., weekends). If the statistics do not adjust for these factors, they might misrepresent the true trend in vehicle thefts.

Demographic bias: The statistics might show an increase in vehicle thefts overall, but fail to capture the fact that the rise is driven by thefts of certain types of vehicles or in certain neighborhoods. For example, if the increase is largely driven by thefts of high-end vehicles or in affluent areas, the statistics might not reflect the experiences of people who own less expensive vehicles or live in less affluent areas.

Overall, it's important to interpret statistical data with a critical eye and consider the limitations of the data source and methodology before drawing conclusions about the real-world situation.

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Kendra hits the target more often than Dalisay.

What is the hit rate?

Hit rate is a measure of performance that calculates the proportion of successful hits or positive outcomes in a given situation, usually expressed as a percentage.

To compare Kendra and Dalisay's performance in hitting the target, we need to determine the hit rate for each archer.

Kendra hits the target 3 times for every 5 misses. The hit rate for Kendra can be calculated as:

hit rate = 3 / (3 + 5) = 3/8

Dalisay hits the target 5 times for every 7 misses. The hit rate for Dalisay can be calculated as:

hit rate = 5 / (5 + 7) = 5/12

Comparing the hit rates, we see that Kendra has a higher hit rate than Dalisay.

Therefore, Kendra hits the target more often than Dalisay.

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Answer: x = 233

Step-by-step explanation:

get the hypotenuse and solve

Step-by-step explanation:

this is very simple, we only have to divide each side by four to single out our unknown.

[tex]-7=r[/tex]

Answer:

the solution to the equation -28r = 4r is r = 0.

Step-by-step explanation:

To solve the equation -28r = 4r, we can isolate the variable "r" on one side of the equation and find its value. To do this, we can start by subtracting 4r from both sides of the equation:

-28r - 4r = 4r - 4r

-32r = 0

Next, we can divide both sides of the equation by -32 to find the value of "r":

(-32r) / -32 = 0 / -32

r = 0

So the solution to the equation -28r = 4r is r = 0.

The area of the composite figure is equal to 60.75 m² square metres.

The composite figure is made up of a triangle and two rectangles, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the triangle = 1/2 × 7.5 m × 3 m

area of the triangle = 1/2 × 22.5 m²

area of the triangle = 11.25 m²

area of smaller rectangle = 4.5 m × 3 m

area of smaller rectangle = 13.5 m²

area of the bigger rectangle = 12 m × 3 m

area of the bigger rectangle = 36 m²

total area of the composite figure = 11.25 m² + 13.5 m² + 36 m²

total area of the composite figure = 60.75 m²

Therefore, the area of the composite figure is equal to 60.75 m² square metres.

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After unit conversion of 24 in./s into ft/min the value will be 120

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

A rate = 24 in./s

The value of rate in ft./min. = ?

It is known that,

1 feet = 12 inches

And 1 minute = 60 second

So,

1 inches = 1/12 feet

1 second  = 1/60 minute

⇒ 24 in./s

⇒  24 ((1/12)ft / (1/60)sec)

⇒ 24 × 60/12

⇒ 24 x 5

⇒ 120

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Answer: linear function y=-2x+8, x-intercept at x=4, y-int at (0,8)

Step-by-step explanation:

if it is set equal to y, it is a linear function y=-2x+8, and if set equal to zero, it is an x-intercept to be solved. If an x-intercept is x=4 as you get x by itself by moving the eight over by subtracting and then dividing by negative 2.

(hope it helps as I am not sure what you are asking)

it is -2 multiplied by a number of x, plus 8

Answer:

This is an algebraic expression.

Step-by-step explanation:

This is an algebraic expression. It represents a linear function in which the variable "x" is multiplied by -2 and then 8 is added to the result. In mathematical terms, it represents a straight line with a slope of -2 and a y-intercept of 8. If we were to plot this expression on a graph, the line would have a negative slope and would cross the y-axis at the point (0, 8). The expression can be used to model a relationship between two variables, such as the relationship between time and distance, or between temperature and pressure, for example.

The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.

Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:

λ = (7 defects / 20 sq ft) = 0.35 defects per square foot

Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:

P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)

where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.

Using the Poisson distribution formula for F(k), we have:

F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]

Using a calculator or software, we can find that:

F(8) = P(X ≤ 8) = 0.5692

Therefore, we have:

P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308

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No, we would not expect about 95% of the samples to have their variances within 0.008 of 0.009.

The variance of a normal distribution with mean μ and variance σ^2 is given by σ^2, which in this case is equal to (0.004)^2 = 0.000016.

The variance of the sample means, on the other hand, is given by σ^2/n, where n is the sample size. In order for about 95% of the samples to have variances within 0.008 of 0.009, we would need the sample size to be approximately equal to:

n ≈ σ^2 / (0.008 - 0.009)^2 = 62500

This means that we would need very large samples for this to be true. However, if the sample size is relatively small, then the distribution of sample means will not necessarily be normal and the Central Limit Theorem may not apply.

In that case, the distribution of sample variances will not necessarily follow the same pattern as the distribution of the population variance, and it may not be possible to make predictions about the sample variances based on the population parameters.

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The answer is 309,600 cubic inches, which is option B.

What is the volume?

Volume is the total amount of space inside a three-dimensional shape. Volume is measured in cubic units, such as “cubic inches” or in³.

Volume is the amount of space matter takes up. The matter is anything that has mass and takes up space. Volume is used to describe the size of an object.

The volume of each case is 16.00 inches * 10.75 inches * 5.00 inches = 880 cubic inches.

So, the volume of 360 cases is 360 * 880 cubic inches = 309,600 cubic inches.

Therefore, the answer is 309,600 cubic inches, which is option B.

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Answer:

The maximum of a set is the largest of a set.
arrange the terms in ascending order, 1.5, 3, 27.
take the biggest element of the ascending data set, which Is 27.

Step-by-step explanation

I tried my best I’m not the best at math. But I felt like someone needed help. I really hope you do well my friend. I’m sorry If the answer is in correct, I’m in geometry.

The percent will the fraction decrease should be 80%.

Important information:

In the case when its numerator is decreased by 85% and its denominator is decreased by 25%

Calculation of percentage:

= (100-85) ÷ (100 - 25)

=  15%÷ 75%

= 20%

Now the decrease in percentage should be

= 100% - 20%

= 80%

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The correct answer is 80%

The choice of whether to report the median or mean as a measure of central tendency depends on the shape of the data distribution and the purpose of the analysis.

a) Whether the median or mean would be larger depends on the shape of the distribution of the data. The median is the value that separates the lower half of the data from the upper half, and is a robust measure of central tendency, meaning that it is not greatly affected by outliers or extreme values. On the other hand, the mean is the sum of the data values divided by the number of values, and can be influenced by outliers or extreme values.

In the case of the life expectancies data, if the distribution is roughly symmetrical, with most of the values clustered around the center and relatively few outliers or extreme values, then the mean and median would likely be similar in value. However, if the distribution is skewed to one side, with many values concentrated on one end and relatively few values on the other end, then the mean would likely be larger than the median.

b) The best measure to report depends on the context and the purpose of the analysis. In general, the median is a more appropriate measure of central tendency for skewed distributions, since it is not greatly affected by outliers or extreme values. On the other hand, the mean is more appropriate for symmetrical distributions, since it provides a more accurate representation of the typical value of the data.

In the case of the life expectancies data, it may be useful to report both the median and the mean in order to provide a full picture of the central tendency of the data. However, if there are outliers or extreme values that could significantly affect the mean, it would be more appropriate to report the median as the primary measure of central tendency.

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Answer:

In 287.9412, 9 is at the tenth place. So , the answer is 287.9.

Step-by-step explanation:

Dividing with an area model and multiplying with an area model are similar in that they both involve partitioning a rectangular area into smaller parts.

However, dividing with an area model involves starting with the total area and then dividing it into equal parts to find the size of each part. For example, to divide 12 by 3, we could draw a rectangle with an area of 12 and then partition it into 3 equal parts to find that each part has an area of 4.

Multiplying with an area model involves starting with the size of the smaller parts and then combining them to find the total area. For example, to multiply 3 by 4, we could draw a rectangle with a width of 3 and a height of 4 and then calculate the area of the rectangle as 12.

So, while both methods involve using an area model, dividing starts with the total area and finds the size of the parts, while multiplying starts with the size of the parts and finds the total area.

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Answer:

y = 7x

Step-by-step explanation:

it is simple : x times how much is y ?

2 × ? = 14

? = 7

control

4 × ? = 28

? = 7

identical, so it is correct, and y = 7x is the answer.

The correct simplification of the expression is 25x^2y^22.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

x mn = x ^ m×n = xmn

xm× xn = x m+n

= (5)2(x)^2(y5)^2(y3)^4

= 25x^2y10y^12

= 25x^2y^22

Therefore, the correct simplification of the expression is 25x^2y^22.

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Choose the correct simplification of the expression (5xy5)2(y3)4.

25x2y22, 10x2y22, 25x3y14, 10x3y14

Answer:

Est: 4.62%

Step-by-step explanation:

The value of x and y is 13.5 and 7.

we have two set of equations as follows,

x + y = 20.5     ....[1]

x - y = 6.5       .....[2]

from equation [1] we have,

x +y = 20.5

x = 20.5 - y       .....[3]

put the value of x in equation [2]

x - y = 6.5

20.5 - y -y = 6.5

20.5 - 2y = 6.5

now like terms together ,

-2y = 6.5 -20.5

-2y = -14

now the minus sign cancel by each other,

2y = 14

y = 14/2

y = 7

now, put the value of y in equation [1]

x +y =20.5

x + 7 = 20.5

x = 20.5 - 7

x = 13.5

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