Answer:
C
Step-by-step explanation:
Answer:
264 miles
Step-by-step explanation:
Find the unit rate (mpg):
66 miles
----------------- = 22 mpg
3 gallons
On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles
Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.
Answer:
57.5 mi
Step-by-step explanation:
1 in = 5 mi
11.5 × 5 = 57.5 mi
Answer:



The standard deviation will remain unchanged.
Step-by-step explanation:
Given

Solving (a): The range
This is calculated as:

Where:

So:


Solving (b): The variance
First, we calculate the mean




The variance is calculated as:

So, we have:
![\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B1%7D%7B6-1%7D%2A%5B%28136%20-%20135%29%5E2%20%2B%28129%20-%20135%29%5E2%20%2B%28141%20-%20135%29%5E2%20%2B%28139%20-%20135%29%5E2%20%2B%28138%20-%20135%29%5E2%20%2B%28127%20-%20135%29%5E2%5D)
![\sigma^2 =\frac{1}{5}*[162]](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B1%7D%7B5%7D%2A%5B162%5D)

Solving (c): The standard deviation
This is calculated as:


--- approximately
Solving (d): With the stated condition, the standard deviation will remain unchanged.