8 + (15-3) + 4
8 + 12 + 4
20 + 4
24
your answer is 24
Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:

This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.
Answer:
0.2754
Step-by-step explanation:
Probability of saving a penalty kick = 0.617
p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383
number of trials, n = 7
Number of saves, x = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 5) = 7C5 * 0.617^5 * 0.383^2
P(x = 5) = 21 * 0.0894181 * 0.146689
P(x = 5) = 0.2754
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, - 5 )
m =
=
= 
Since division by zero is undefined then the slope is undefined
arc length = radius multiplied by angle in radians
radius = 7 angle = 90 degrees
90 degrees = 1.571 radians
7 × 1.571 = 10.997
AB is 10.997 or 11 inches long