9514 1404 393
Answer:
27.932 in
Step-by-step explanation:
The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:
y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees
The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.
y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.
The valve cap is 27.932 in. above the ground.
<h3>
Answer: B) 2.9 approximately</h3>
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Explanation:
The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the 
terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so 
From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list
So,
This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.
I have no idea but good luck
Answer:
Step-by-step explanation:
First, add two to both sides to get 
There are two ways to solve this from here
- Think about what power you would have to raise 9 to to get to 27.
= 3 and 
. So, multiplying the powers (because it is a power to a power) you get 
. This means that 
or x = . - Take the log of both sides.
This gives us 
Answer:
Step-by-step explanation:
In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model. Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).
The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.
Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.
However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.
Hence, various measures like either goodness of fit or theory testing, would be used for this.
