Answer:

**Answer:**

12.75

**Step-by-step explanation:**

**If you make a proportion: 48/1=612/x**

**1(612)= 612**

612/48

12.75 hours

Answer:
### What is the distance?

At a **speed **of 48 miles per hour, the car will take approximately 12.75 **hours **to go 612 **miles**.

A **mathematical **number known as **distance **measures "how much ground an object has **traveled**" while moving. Distance is defined as the **product **of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the **number **of **hours **it will take the car to travel 612 miles at a rate of 48 miles per hour, you can **divide **the **distance **traveled by the **rate **at which the car is **traveling**:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the **division **operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 **hours **to travel 612 **miles **at a **rate **of 48 miles per hour.

Learn more about the **distance **here:

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Which inequality is equivalent to |x-4|<9?

ORDER THE SIDE LENGTHS FROM LEAST TO GREATESThelp asap!!!

I WILL MARK BRAINLIEST !!!Choose the slope and y-intercept that correspond with the graph.

A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes to help the public schools. The opinion poll recently sampled 1500 voting age citizens. 622 of the sampled citizens were in favor of an increase in taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than 66%. At what level of significance will the null hypothesis not be rejected?

Based on the graph of the function shown, identify the Range of the function.A. All real numbers between -6 and +2B. All real numbers C. All real numbers between -6 and -1 & -1 and 2D. All real numbers between -8 and 4

ORDER THE SIDE LENGTHS FROM LEAST TO GREATESThelp asap!!!

I WILL MARK BRAINLIEST !!!Choose the slope and y-intercept that correspond with the graph.

A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes to help the public schools. The opinion poll recently sampled 1500 voting age citizens. 622 of the sampled citizens were in favor of an increase in taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than 66%. At what level of significance will the null hypothesis not be rejected?

Based on the graph of the function shown, identify the Range of the function.A. All real numbers between -6 and +2B. All real numbers C. All real numbers between -6 and -1 & -1 and 2D. All real numbers between -8 and 4

-3x + 4y = -18

2x - y = 7

(-2,-3)

(-2,3)

(2, -3)

(2, 3)

The **solution **of the **system **of **linear equations **given is (2,-3), the correct **option **is C.

The **system **of **linear equation **is set of **equations **which have a common **solution**.

The **equations **are

-3x+4y = -18

2x-y =7

The **linear equations **can be solved using **substitution method**

y = 2x -7 from equation 2 will be **substituted **in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

To know more about **System **of **Linear Equations**

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**Answer:**

**Step-by-step explanation:**

-3x + 4y = -18

8x - 4y = 28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

____

**Answer:**

**Step-by-step explanation:**

The sum can be found by adding the parts:

__

The sum of numbers 1 to n is n(n+1)/2.

**Answer: **9

**Step-by-step explanation: **The reason that students get intimidated

by word problems is they try to look at all the information at once.

The best way to approach a word problem

is to break it down sentence by sentence.

In this problem, let's look at the first part of the sentence.

We know that six less than three times a number is 21.

Let's call the number x.

So we know that six less than three times a number means 3x - 6.

A common mistake would be for students to put 6 - 3x.

However, the word "less than" switches the order around.

So we know that six less than three times a number is 21.

So we can write this as 3x - 6 = 21.

Now we have an equation and we can solve for x.

First add 6 to both sides to get 3x = 27.

Now divide both sides by 3 to get **x = 9**.

So our answer to this word problem is 9.

**Answer:**

x = 3

**Step-by-step explanation:**

The translation rule (x + 10, y - 6) means add 10 to the original x- coordinate and subtract 6 from the original y- coordinate, that is

G(- 7, 4) → G'(- 7 + 10, 4 - 6) → G'(3, - 2)

a. Based on the reported sample mean and sample standard deviation, explain why it is not reasonable to think that the distribution of volunteer times for the population of South Korean middle school students is approximately normal.

b. The sample size was not given in the paper, but the sample size was described as large. Suppose that the sample size was 500. Explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximately normal.

c. Calculate and interpret a confidence interval for the mean number of hours spent in volunteer activities per year for South Korean middle school children.

**Answer:**

a. If the distribution was normal, many values would be negative, what is incompatible with the response variable (hours dedicated to volunteer activities).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

c. The 95% confidence interval for the mean is (13.307, 16.213).

**Step-by-step explanation:**

a. If the distribution was normal, the values with one or more standard deviation below the mean would be negative, what is incoherent for this case. This, in a normal distribution, represents approximately 16% of the values.

If we calculate the probabilty for a normal distribution with the sample parameters, the probability of having "negative hours" is 18.6% (see picture attached).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

The sampling distribution standard deviation is also reduced by a factor of 1/√n.

c. We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=14.76.

The sample size is N=500.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

The t-value for a 95% confidence interval is t=1.965.

The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the mean is (13.307, 16.213).

6 X (5 + 4)

6 X 9 = (6 X 5) + (6 X 4)

6 X 9 =

6 X 9 =

54

You gave us the answer it will be 54.

**Answer:**

54

**Step-by-step explanation:**

9(6)=54

6(9)=54

54=(30)+(24) 54=54 so it is true

9x6=54