This question has 2 parts. Please explain everything you did in order to answer the second question!

If 3 inches on the map represents 1.25 miles, we can use that proportion to find how many inches represents 10 miles.

3 inches / 1.25 miles = x inches / 10 miles

We can cross multiply and divide to find x:

x = (3 inches * 10 miles) / 1.25 miles

x = 24 inches

So on the map, 24 inches represent 10 actual miles.

We can say that after answering the offered question Therefore, the proportionality constant of proportionality in this scenario is 11.25.

Proportionate relationships are those that have the same ratio every time. For example, the average number of apples per tree defines how many trees are in an orchard and how many apples are in an apple harvest. Proportional refers to a linear relationship between two numbers or variables in mathematics. When the first quantity doubles, the second quantity doubles as well. When one of the variables decreases to 1/100th of its previous value, the other falls as well. When two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two remains constant at all values. The diameter and circumference of a circle serve as an example.

In this case, we may use the following formula to calculate the proportionality constant:

proportionality constant = output/input

where the output is John's pay and the input is the number of hours he worked.

As a result, the proportionality constant is:

Paycheck/hours worked = proportionality constant

proportionality constant = 450/40

proportionality constant = 11.25

As a result, the proportionality constant in this scenario is 11.25.

In this case, we may use the following formula to calculate the proportionality constant:

proportionality constant = output/input

where the output is John's pay and the input is the number of hours he worked.

As a result, the proportionality constant is:

Paycheck/hours worked = proportionality constant

proportionality constant = 450/40

proportionality constant = 11.25

Therefore, the constant of proportionality in this scenario is 11.25.

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The correlation coefficient is -0.4124

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

The table of values

Next, we enter these values in a graphing tool, where we have the following summary

X Values

∑ = 52

Mean = 6.5

∑(X - Mx)2 = SSx = 42

Y Values

∑ = 93

Mean = 11.625

∑(Y - My)2 = SSy = 7567.875

X and Y Combined

N = 8

∑(X - Mx)(Y - My) = -232.5

For the coefficient, we have

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -232.5 / √((42)(7567.875)) = -0.4124

Hence, the value is -0.4124

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Answer:

Yes, both of them are correct.

Step-by-step explanation:

I don't have enough time to explain, sorry!!

Have a wonderful day c:

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:

The answer is "6.635776".

Step-by-step explanation:

If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.  

Therefore the margin of error=0.05   With z=2.576  

\(\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576\)

square the above equation:

\(\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\\)

So the number of required residents=6.635776

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 50,304 runners and each runner runs a distance of 26.2 miles. Hence:

Total distance ran by runners = 26.2 miles * 50304 = 1317964.8 miles.

The distance from the earth to the moon is 2.389 x 10⁵ miles, hence:

Ratio of total distance to distance from earth to moon = 1317964.8 miles/ (2.389 * 10⁵) = 5.516

Time ran back and forth = 5.516 / 2 = 2.76

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

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The groundskeeper can only buy whole bags, they must buy 4 bags to have enough grass seed to cover the entire field.

To find the smallest number of bags needed, first calculate the area of the circular field using the formula for the area of a circle, A = π\(r^2\).

Where r is the radius of the circle. Since the diameter is 290 feet, the radius is 145 feet (290/2).

A = π(\(145^2\)) ≈ 66,026 square feet

Next, calculate the coverage of one pound of grass seed: 400 square feet.

Then, find out how many pounds of grass seed are needed to cover the entire field:

66,026 sq ft / 400 sq ft/lb

≈ 165.065 lbs

Since each bag weighs 50 pounds, divide the required pounds by the weight of one bag:

165.065 lbs / 50 lbs/bag

≈ 3.3013 bags

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The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Answer:

the answer to your eqauation is 531,441

Step-by-step explanation:

3^5 x 3^7

243 x 2,187

=531,441

Hope this helped!! :)

Answer:

Step-by-step explanation:

From the given information:

Note that the possible values of Y are 0 and 1 because;

y = 0 if X = 0 and y = 1 if X = ±1

∴

\(P(Y =0) = P(X = 0) =\dfrac{1}{3}\)

\(P(Y = 1) = P(X = -1 \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)\)

\(= \dfrac{1}{2}+ \dfrac{1}{6}\)

\(=\dfrac{3+1}{6}\)

\(= \dfrac{2}{3}\)

b)

\(E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})\)

\(= \dfrac{2}{3}\)

Answer:

Wow sup Comment allez-vous, je suis là pour vous aider à essayer cette application, je ne suis pas vraiment sûr de ce que vous entendez par " Rubber Band App " Mais je pense que cela pourrait aider à l'essayer Exercices de bande de résistance

Answer:

7 trays which is 7 hours

Step-by-step explanation:

Why are you cheating... I will report this to your teacher

Answer:

I think it is 2 one

Step-by-step explanation:

Answer:

A. (-∞,+∞)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

Answer:

have you ever wondered how video games can be educational?

Step-by-step explanation:

that should be good i think

Answer:

There are 10 credits per semester.

Step-by-step explanation:

Given that: A college student takes the same number of credits each semester.

They had 8 credits when they started, and after 5 semesters, they had total 58 credits.

Now, In which rate they are earning credits per semester,

for that use the formula:

\(rate=\frac{change of credits}{total no of semeters}\)

rate=50/5

The change in credits is 58-8 = 50, since the

student earned 50 credits in 5 semesters.

So the rate at which they are earning credits per semester is:

Rate = 10 credits per semester.

Hence, there are 10 credits per semester.

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The most consistent friend with the number of miles run each week during the training is given as follows:

Caleb.

Looking at each value, we have that Caleb's values are quite close to each other, hence the sum of the differences squared is the smallest, and thus he has the lowest standard deviation.

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The standard error is 0.0912.

The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.

In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.

Assuming the sample is large enough to assume normality, the formula becomes SE = \(\sqrt{(0.7*0.3)/30}\)   = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.

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The 10 hypothetical numbers which meets the conditions given on the question may include :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.

The five number summary of the hypothetical data are:

Median: 6

Minimum: 1

Maximum: 12

Lower quartile: 2.75

Upper quartile: 10

Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.

From the given  boxplot shown :

Minimum value = 1

Maximum value = 12

Median = 6

LOWER QUARTILE, Q1 = 4

UPPER QUARTILE, Q3 = 8

IQR = (Q3 - Q1) = 8 - 4 = 4

THE 10 made up numbers :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary for the made up data :

Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6

Minimum: 1

Maximum: 12

First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5

Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10

Interquartile Range: (10 - 2.5) = 7.5

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Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

x = 20

Step-by-step explanation:

19 < x < 25

x had to be higher than 19 but lower than 25

18 cant be the answer because it is less than 19

27 cant be the answer because it is higher than 25

that leaves 20, which is the right answer

19 < 20 < 25

Answer:

False

Step-by-step explanation:

As of 2017, 5 states (Alaska, Delaware, Montana, New Hampshire and Oregon) do not levy a statewide sales tax. California has the highest base sales tax rate, 7.25%. Including county and city sales taxes, the highest total sales tax is in Arab, Alabama, 13.50%.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer: +5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Answer:

Step-by-step explanation:

I take it that this is some sort of ratio.  Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

Brackets: 10/30 - 3/30

Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900  - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

\(\frac{\frac{-131}{900} }{\frac{4}{25} }\)

Which when you invert and multiply becomes

\(\frac{-131}{900} * \frac{25}{4}\)

which finally becomes

\(\frac{-131}{144}\)