Answer:
91% of the time the auto will get less than 26 mpg
Step-by-step explanation:
Think of (or draw) the standard normal curve. Mark the mean (22.0). Then one standard deviation above the mean would be 22.0 + 3.0, or 25.0. Two would be 22.0 + 2(3.0), or 28.0. Finallyl, draw a vertical line at 26.0.
Our task is to determine the area under the curve to the left of 26.0.
Using a basic calculator with built-in statistical functions, we find this area as follows:
normcdf(-100, 26.0, 22.0, 3.0) = 0.9088, which is the desired probability: 91% of the time the auto will get less than 26 mpg.
Answer:
Step-by-step explanation:
So, since it is square, we are going to take the square root of 121 which is 11. And since fencing goes around something, that means we have to find the perimeter. So since all four sides are the same length, we can just multiply 11 by 4 to get 44 meters of fencing
Answer:
a) 40 dollars
b) 480 dollars
Step-by-step explanation:
Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0
T'(x) = 2(20)x¹ + 40x° + 0
T'(x) = 40x+40
At x = 0,
T'(0) = 40(0)+40
T'(0) = 40
Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).
b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)
Given T(x) =20x²+40x+600
T(4) =20(4)²+40(4)+600
T(4) = 320+160+600
T(4) = 1080 dollars
Also T(0) =20(0)²+40(0)+600
T(0) = 0+0+600
T(0)= 600 dollars
T(4) - T(0) = 1080 - 600
T(4) - T(0) = 480 dollars
Hence, the tax has changed by $480 between 2008 and 2012
