Answer:
Step-by-step explanation:
Is there a picture maybe?
Answer:
170
Step-by-step explanation:
The given relations can be used to write and solve an equation for the number of stickers Peter has.
<h3>Setup</h3>
Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).
The total number of stickers is 300:
p +p/2 +(p/2 -40) = 300
<h3>Solution</h3>
2p = 340 . . . . . . . . . . . . . . add 40, collect terms
p = 170 . . . . . . . . . . . divide by 2
Peter has 170 stickers.
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<em>Additional comment</em>
Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.
We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.
p +j +e = 300
p -2j +0e = 0
0p +j -e = 40
[5,∞) is the domain of y=√2x-10
Using it's concept, it is found that the variance of the data-set is of 1.15.
The mean of a data-set is the <u>sum of all observations divided by the number of observations,</u> hence:

The variance is the <u>sum of the differences square between each value and the mean, divided by the number of values</u>. Hence:
![V(X) = \frac{1}{10}[(9 - 7.15)^2 + (7 - 7.15)^2 + (6.5 - 7.15)^2 + (7.5 - 7.15)^2 + (7 - 7.15)^2 + (8 - 7.15)^2 + (5 - 7.15)^2 + (6 - 7.15)^2 + (7.5 - 7.15)^2 + (8 - 7.15)^2] = 1.15](https://tex.z-dn.net/?f=V%28X%29%20%3D%20%5Cfrac%7B1%7D%7B10%7D%5B%289%20-%207.15%29%5E2%20%2B%20%287%20-%207.15%29%5E2%20%2B%20%286.5%20-%207.15%29%5E2%20%2B%20%287.5%20-%207.15%29%5E2%20%2B%20%287%20-%207.15%29%5E2%20%2B%20%288%20-%207.15%29%5E2%20%2B%20%285%20-%207.15%29%5E2%20%2B%20%286%20-%207.15%29%5E2%20%2B%20%287.5%20-%207.15%29%5E2%20%2B%20%288%20-%207.15%29%5E2%5D%20%3D%201.15)
A similar problem is given at brainly.com/question/1527299
As long as we know line AC and the hypotenuse, we get that Angle B is 53.13010235415598, which rounded up is 53<span>°.
53</span><span>° is the answer</span>