Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.
You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:
ft.
Answer: the height of the statue is 2.0565 ft.
Answer:
Option B
Step-by-step explanation:
As here,
In all the options processes in 3rd step .
<u>As</u><u> </u><u>the</u><u> </u><u>bases</u><u> </u><u>are</u><u> </u><u>same</u><u> </u><u>exponents</u><u> </u><u>get</u><u> </u><u>added</u><u>. </u>
And in Option B 3rd step it has been correctly done form of,
![{ ({2}^{ \frac{1}{4} } )}^{4} = 4](https://tex.z-dn.net/?f=%20%7B%20%28%7B2%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%29%7D%5E%7B4%7D%20%20%20%3D%204)
Is correct simplification.
-3x + 4y = 12
x - y = 1....x = y + 1
-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15
x - y = 1
x - 15 = 1
x = 1 + 15
x = 16
one solution (16,15)
Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is
and the standard deviation is ![s = \sigma\sqrt{n}](https://tex.z-dn.net/?f=s%20%3D%20%5Csigma%5Csqrt%7Bn%7D)
Calls to a customer service center last on average 2.8 minutes.
This means that ![\mu = 2.8](https://tex.z-dn.net/?f=%5Cmu%20%3D%202.8)
75 calls each day.
This means that ![n = 75](https://tex.z-dn.net/?f=n%20%3D%2075)
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:
![M = n\mu = 75*2.8 = 210](https://tex.z-dn.net/?f=M%20%3D%20n%5Cmu%20%3D%2075%2A2.8%20%3D%20210)
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.