V=π·r²·h
V=3.14(15²)=706.5
V=706.5x15=10597.5
V=10597.5
Answer:
<h2>B. 7.1</h2>
Step-by-step explanation:
Given the sample data 2 6 15 9 11 22 1 4 8 19, before we can get the standard deviation, we need to first calculate the mean.
mean = 2 +6 +15 +9 +11 +22 +1 +4 +8 +19/10
mean = 97/10
mean = 9.7
Standard deviation for ungrouped data is expressed using the formula;
<em>Hence the standard deviation of the sample data is 7.1</em>
Let t be time and r be rate, then if time varies inversely with the rate, the equation is
. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.
. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:
and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
Answer:
6. 5x+15
Step-by-step explanation:
Distributive property would be the first thing to do, so
-3(2x-5+x)
-6x + 15 -3 x
12x-6x-5-3x+2x
Combine all like terms which are, 12x-6x=6x-3x=3x+2x=5x, and the positive fifteen doesn't have any like terms so we leave that just as it is
5x+15 should be the answer