Answer:
So, the sample mean is 31.3.
So, the sample standard deviation is 6.98.
Step-by-step explanation:
We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.
We calculate the sample mean :

So, the sample mean is 31.3.
We use the formula for a sample standard deviation:

Now, we calculate the sum

Therefore, we get

So, the sample standard deviation is 6.98.
Answer: 42
For this situation we will use a ratio to show how many free throws Erin will make. Using the ratio 7:10 represents that Erin will make 7 out of every 10 free throws. You want to know how many free throws she will make if she attempts 60 free throws.
Using ratios we will be able to find how many free throws she will make if she attempts 60.
7:10
14:20
21:30
28:40
35:50
42:60
Basically we kept multiply the right side of the ratio which is 10 by 2 until we were at 60 free throws.
Erin will make 42 free throws if she attempts 60 free throws.
Answer:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE
Answer:
13.5
Step-by-step explanation:
Similar = alike but not the same
A lot of times in geometry it would mean that they have the same shape, just different size, so first find the ratio:
6/12 = 1/2
27 * 1/2 = 27/2 = 13.5
Answer:
medium
Step-by-step explanation:
The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.