1. What is the surface area of this rectangular prism?
A. 16 square units
B. 32 square units
C. 48 square units
D. 64 square units

Answer:

Step-by-step explanation:

As you can see from the attached picture below, the only figure that is equal to 5 whole units would be the final triangle. That is because it has 2 whole units in the middle, two half units in the top which equal 1 whole unit. And 2 units in each side corner which when combined would equal 2 whole units making it a total of 5. The rest of the shapes either hold more than 5 or less than 5 units. In the picture below, the top 3 shapes hold more than 5 units while the bottom two triangles hold less than 5.

Answer:

4

Step-by-step explanation:

It looks like the graph is passing through (5,20)

so on y, from 0 to 20 is 20

on x, from 0 to 5 is 5

so slope = rise/run = 20/5 = 4

Answer: 36

Step-by-step explanation:

If 5/6 = 180

lets find what 1/6 equals

To do this lets divide 180 by 5 to find 1/6

\(\frac{180}{5} =36\)

Therefore, 1/6 = 36

We know 180/5 will give us the answer because 180 is already 5/6 of the total; dividing by 5 will give us 1/6 of the total. Ex: if we had 4/6 of the total, we would divide by 4 to find 1/6.

Anyways, we can check our answer by doing:

36*5 = 216 then taking 5/6 of 216, which should equal 180

\(216*\frac{5}{6} =180\)

Therefore, we know 36 is the correct answer

The coverage the insured individual and family already receive in auto insurance should not be a consideration when choosing a health care plan.

The other options - annual premiums, deductible or co-pay, and total coverage - are important factors to consider when selecting a health care plan. As for the additional information provided about the populist vote in 1894, it is unrelated to the question and does not affect the answer.
When choosing a health care plan, the factor that should not be a consideration is d. the coverage the insured individual and family already receive in auto insurance. Factors such as annual premiums, deductibles, co-pays, and total coverage received are important in evaluating a suitable health care plan, while auto insurance coverage is unrelated to health care needs.

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Answer:

135 yards

Step-by-step explanation:

There are 135 yards in 45 feet.

Our information:

The park is 45 feet long

There is (3 feet= 1 yard)

Since there is 3 feet in 1 yard. You have to multiply 45 x 3.

So, The answer is 135 yards.

Answer:

Median

Step-by-step explanation:

Mean: Add up all the numbers, then divide by how many numbers there are.

Median: Arrange your numbers in numerical order. Count how many numbers you have. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode: Put the numbers in order from least to greatest and count how many times each number occurs.

Range: The difference between the smallest and highest numbers

Answer:

Mean:

\(mean = \frac{(45 + 39 + 49 + 37 + 3 + 51)}{6} \\ = 37.3\)

Median:

\(3 \: \: 37 \: \: 39 \: \: 45 \: \: 49 \: \: 51 \\ median = ( \frac{n}{2} + 1) {}^{th} \\ = ( \frac{6}{2} + 1) {}^{th} \\ = 4 {}^{th} \: value \\ median = 45\)

Mode:

\(mode = none \\ all \: digits \: are \: repeated \: once\)

Range:

\(range = 51 - 3 \\ = 48\)

Answer:

5x + 8y = 24

Step-by-step explanation:

y = \(\frac{-5}{8}\)x + 3  Add \(\frac{5}{8}\)x  to both sides

\(\frac{5}{8}\)x + y = \(\frac{-5}{8}\)x + \(\frac{5}{8}\)x + 3

\(\frac{5}{8}\)x + y = 3  Multiply all the way through by 8 to clear the fraction

\((\frac{8}{1})\)\((\frac{5}{8})\)x + (8)y= (8)(3)

5x + 8y = 24

s + j = 2m

s = 54

m = 60

54 + j = 120

j = 120 - 54

j = 66

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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The expression given is,

Simplify

Hence, the answer is

The ratio of lemonade and sparkling water is 1:3.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Number of tablespoons of lemonade = 4,

And number of cups of sparkling water = 12.

To find tablespoons of lemonade pr cup of sparkling water,

Use ratio property,

= 4:12

=1:3

Therefore, 1 tablespoon of lemonade takes 3 cups of sparkling water.

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The Large box weighs 18.25

The small box weighs 15.5

DO you need me to show work?

The percent difference equation is a formula used to calculate the relative difference between two values as a percentage of their average.

The equation uses the formula as,

                      percent difference =  \(\frac{|x_1 - x_2|}{(\frac{x_1 + x_2}{2}) } * 100\)

where,

\(x_1\) and \(x_2\) are the two values being compared.

| | denotes the absolute value of the difference between the two values.

The percent difference equation is commonly used in scientific experiments and quality control to compare the accuracy of two measurements or the performance of two instruments. It can also be used to compare the results of a measurement with a theoretical value or an accepted standard.

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Answer:

x= y/e (or the last answer choice on your screen)

Step-by-step explanation:

Answer:

\(4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5\)

The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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Answer:9

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The measures given form 2 triangles.

Each triangle has a hypotenuse of 37 inch and a side length of 12 inches ( right triangle)

So, we have to find the measure of the missing side of the right triangle_

Apply Pythagorean theorem:

c^2= a^2+b^2

Where c is the hypotenuse (37) and a and b are the other legs of the triangle:

37^2 = a^2+12^2

Solve for a

1,369= a^2+144

1,369-144 = a^2

1,225 = a^2

√1225 = a

35=a

The TV is 35 inches tall.

Answer:

true

Step-by-step explanation:

A correlation is symmetrical;x is as correlated with y as y is with x. The Pearson product-moment correlation can be understood within a regression context,however.

Answer:

How do you determine the equation of a horizontal line that passes through each given point 4 7?

the equation of the horizontal line passing through (4,7) is y=7 . Note − The equation of a vertical line is always of the type x=k and hence the equation of the vertical line passing through (4,7) is x=4 .

Answer:

5. 4 hour 17 minutes

Step-by-step explanation:

Lilith can complete work in 6 hours so every hour she will complete 1/6 of the work

Janice can complete work in “x” hours so every hour she will complete 1/x of the work.

so if they both work together in 2.5 hours

Lilith will complete 2.5(1/6) work

Janice will complete 2.5(1/x) work

so 2.5(1/6) + 2.5(1/x) = 1

=> 1/6 + 1/x = 0.4

=> 1/x = 0.4 - 1/6

=> 1/x = 2.4/6 - 1/6

=> 1/x = 1.4/6

=> 1(6) = 1.4(x)

=> x = 6/1.4 = 5.6/1.4 + 0.4/1.4 = 4 + 0.4/1.4 hours

since 0.4/14 hour = (0.4/14)60 = 17.1  or 17 minutes

so x = 4 hour + 17 minutes

I hope this will help to solve the other problems

To answer your question, if both samples have the same number of scores (n), then the independent-measures t statistic will have degrees of freedom (df) equal to 2n – 2.

This is because the formula for calculating degrees of freedom for an independent-measures t-test is df = n1 + n2 - 2, where n1 is the sample size of the first group and n2 is the sample size of the second group. However, if both samples have the same size (n), then this formula simplifies to df = 2n – 2.

It's important to note that degrees of freedom represent the number of independent pieces of information used to estimate a population parameter, and they play a critical role in determining the statistical significance of a t-test result.

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Integers are the numbers ...,-2,-1,0,1,2,...

Rational numbers are numbers that can be written as p/q where p and q are integers and q is not 0.

Given any integer x, you can write it in the form p/q where p=x and q=1. Therefore, there is no such integer than isn't rational.

Answer:

0.09

0.55

Step-by-step explanation:

to write least to greatest firstly, start comparing both number

so the answer will be=0.09,0.55

it least to greatest or in assending order.

The equation of a line in point slope form is y - y₁ = m(x - x₁) and the equation of a line in slope intercept form is y = mx + b.

The equation of a line can be represented in different form such as point slope form, slope intercept form, general form and standard form.

The equation of a line in point slope form is as follows:

y - y₁ = m(x - x₁)

where

The equation of a line in slope intercept form is as follows:

y = mx + b

where

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Answer:

The interquartile range would be 23.5.

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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