45% of 80.374 is a number between
1 answer:
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Answer:
15.39%
Step-by-step explanation:
Step 1
Find the z-value associated to the given datum x, in this case x = 28 mpg
<em>z is given by the formula </em>
where is the mean of the distribution and
is the standard deviation. In this case,
Step 2
Locate the z-value in the table of z-values of the normal distribution.
(See table attached) and read the number corresponding to this z-value. In this case is highlighted in the table and its value is 0.34614.
<em>This numbers gives us the % of vehicles with a mpg between 0 and 28. </em>
Step 3
As we know that the total area under the curve for z > 0 is 0.5, then we have to subtract 0.34614 from 0.5 to obtain the % of cars with a mpg greater than 28 mpg.
0.5 - 0.34614 = 0.15386
so, the % of 2016 vehicles that have better gas mileage than the Beetle's gas mileage is 15.39 % (rounded to two decimals)
Answer:
11
Step-by-step explanation:
The average rate of change of function f on interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
Here, that is ...
m = (f(6) -f(2))/(6 -2)
So, we need to evaluate the function at x=6 and x=2. Writing it in "Horner form" makes this easier.
f(x) = (x +3)x -2
f(6) = (6 +3)6 -2 = 54 -2 = 52
f(2) = (2 +3)2 -2 = 10 -2 = 8
Then the slope is ...
m = (52 -8)/4 = 13 -2 = 11
The average rate of change of f(x) from 2 to 6 is 11.
