Question asks for answer in units of cubic feet so all dimensions must be converted from yards to feet.
ft x ft x ft = ft^3
Look up conversion: 1 yard = 3 ft
height = 2 yd * 3 = 6 ft
width = 9 ft
length = 3 yd * 3 = 9 ft
volume = 6 ft x 9 ft x 9 ft = 486 ft^3
Y = total cost
x = number of months
90x...means they charge $ 90 for each month (x)... for the service charge
40...this is the one time installation fee
Set up the equation 72=2(x-4)+2(x), the answer is x=20
Answer:
GPAs os 2.832 and lower will mean that a track team athlete will be recommended for extra tutoring help
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
![\mu = 3.36, \sigma = 1.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%203.36%2C%20%5Csigma%20%3D%201.2)
Bottom 33%:
The 33rd percentile(X when Z has a pvalue of 0.33) and below.
So we have to find X when Z = -0.44.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-0.44 = \frac{X - 3.36}{1.2}](https://tex.z-dn.net/?f=-0.44%20%3D%20%5Cfrac%7BX%20-%203.36%7D%7B1.2%7D)
![X - 3.36 = -0.44*1.2](https://tex.z-dn.net/?f=X%20-%203.36%20%3D%20-0.44%2A1.2)
![X = 2.832](https://tex.z-dn.net/?f=X%20%3D%202.832)
GPAs os 2.832 and lower will mean that a track team athlete will be recommended for extra tutoring help
Answer:
∠ B ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan B =
=
=
, then
∠ B =
(
) ≈ 53° ( to the nearest degree )