The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
<h3>How to find the z score (z statistic) for the sample mean?</h3>
If we're given that:
- Sample mean =
- Sample size = n
- Population mean =
- Sample standard deviation = s
Then, we get:
![z = \dfrac{\overline{x} - \mu}{s}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B%5Coverline%7Bx%7D%20-%20%5Cmu%7D%7Bs%7D)
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
![s = \dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
where
population standard deviation
For this case, we're specified that:
- Sample mean =
= 2.3 - Sample size = n = 15
- Population mean =
= 2.7 - Population standard deviation =
= 0.4
Thus, the value of the z-statistic is evaluated as:
![z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B%5Coverline%7Bx%7D%20-%20%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%20%3D%20%5Cdfrac%7B2.3-%202.7%7D%7B0.4%2F%5Csqrt%7B15%7D%7D%20%5Capprox%20-3.87)
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
Learn more about z statistic here:
brainly.com/question/27003351
Answer:
h(8q²-2q) = 56q² -10q
k(2q²+3q) = 16q² +31q
Step-by-step explanation:
1. Replace x in the function definition with the function's argument, then simplify.
h(x) = 7x +4q
h(8q² -2q) = 7(8q² -2q) +4q = 56q² -14q +4q = 56q² -10q
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2. Same as the first problem.
k(x) = 8x +7q
k(2q² +3q) = 8(2q² +3q) +7q = 16q² +24q +7q = 16q² +31q
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Comment on the problem
In each case, the function definition says the function is not a function of q; it is only a function of x. It is h(x), not h(x, q). Thus the "q" in the function definition should be considered to be a literal not to be affected by any value x may have. It could be considered another way to write z, for example. In that case, the function would evaluate to ...
h(8q² -2q) = 56q² -14q +4z
and replacing q with some value (say, 2) would give 196+4z, a value that still has z as a separate entity.
In short, I believe the offered answers are misleading with respect to how you would treat function definitions in the real world.
Paralell is smae slope so it is
2x+3y=c
find c
given
(9,-3)
x=9
y=-3
evaluate to find the constant, c
2(9)+3(-3)=c
18-9=c
9=c
the equation is 2x+3y=9
Answer:
B.91
Step-by-step explanation:
Because it says so on the table.
A. True...... ............ .......