<span>4500 feet = 0.000189394 miles
0.000189394 miles per second
3600 seconds in one hour
</span>0.000189394 miles per second x 3600 =<span>
3068.18172 miles per hr
ANSWER: 3068.18 mph (rounded)</span>
Answer:
You earned an A.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:
![\mu = 79, \sigma = 6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2079%2C%20%5Csigma%20%3D%206)
The top 15% of all scores have been designated As.
This means that if Z for the score has a pvalue of 1-0.15 = 0.85 or higher, the score is designated as A.
Your score is 89. Did you earn an A?
We have to find the pvalue of Z when X = 89. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{89 - 79}{6}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B89%20-%2079%7D%7B6%7D)
![Z = 1.67](https://tex.z-dn.net/?f=Z%20%3D%201.67)
has a pvalue of 0.9525. So yes, you earned an A.
Answer:
10
Step-by-step explanation:
Answer:
15 feets
Step-by-step explanation:
The perimeter of a parallelogram is given as :
P = 2(l + w)
l and w are the bases :
Substituting the values into the equation :
P = 2(x + 75 + x + 45)
P = 2(2x + 120)
P = 300
Hence ;
300 = 4x + 240
300 - 240 = 4x
60 = 4x
Divide both sides by 4 to isolate x
60 /4 = 4x / 4
15 = x
x = 15 feets