Answer:
Step-by-step explanation:
The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.
DG*DE/2 = GE * DF/2 Multiply both sides by 2
DG*DE = GE * DF
DG = 8
DE = 15
GE = 17
8*15 = 17* DF
120 = 17 * DF Divide by 17
120/17 = DF
DF = 7.06
Answer:
x = -5 or +5
Step-by-step explanation:
Subtract 16 and factor.
x^2 -9 = 16 . . . . . given
x^2 -25 = 0 . . . . subtract 16; the difference of squares
(x -5)(x +5) = 0 . . . . the factored form
The zero product property says possible solutions are found where the factors are zero.
<u>For (x -5) = 0</u>
x -5 = 0
x = 5 . . . . . add 5
<u>For (x +5) = 0</u>
x +5 = 0
x = -5 . . . . . subtract 5
Possible solutions are x=-5 or x=5.
If the standard deviation is 9 and sample size is 100 then the standard error is 0.9.
Given that the mean is 80,standard deviation be 9 and sample size be 100.
We are required to find the standard error of the given data.
The standard error of a statistic is basically the standard deviation of its sampling distribution or an estimate of that standard deviation.
Standard error=σ/
in which σ is standard deviation and n is sample size.
Here standard deviation is 9 and sample size is 100.
Standard deviation=9/
=9/10
=0.9
Hence if the standard deviation is 9 and sample size is 100 then the standard error is 0.9.
Learn more about standard error at brainly.com/question/1191244
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