Answer:
0.025 is the standard error of mean.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
Sample mean = 13 psi
Population standard deviation = 0.25 psi
We have to find the standard error of the mean.
Formula:
Standard error =
![\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.25}{\sqrt{100}} = \dfrac{0.25}{10} = 0.025](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cdfrac%7B0.25%7D%7B%5Csqrt%7B100%7D%7D%20%3D%20%5Cdfrac%7B0.25%7D%7B10%7D%20%3D%200.025)
0.025 is the standard error of mean.
Answer:
4x^2+19x-5=(x+5)(4x -1)
Step-by-step explanation:
The given expression is 4x^2 + 19x - 5
The leading coefficient is 4 and last term is -5
Multiply them, we get -20
Now find the factors of -20 such that when you add the factors we have to get 19.
-1*20 = -20
20+ (-1) = 19
The right factors are -5 and 9.
4x^2 + 19x - 5 =4x^2 + 20x -1x - 5
= 4x(x + 5) -1(x + 5)
= (x + 5)(4x -1)
The missing factor is (4x -1)
Thank you.
Part (a)
There are 7 red out of 7+3 = 10 total
<h3>Answer: 7/10</h3>
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Part (b)
We have 3 green out of 10 total
<h3>Answer: 3/10</h3>
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Part (c)
3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)
So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.
<h3>Answer: 9/100</h3>
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Part (d)
Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.
(7/10)*(7/10) = 49/100
<h3>Answer: 49/100</h3>
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Part (e)
7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.
(7/10)*(3/10) = 21/100
<h3>Answer: 21/100</h3>
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Part (f)
We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).
<h3>Answer: 21/100</h3>
The square pyramid looks exactly how it sounds. The base of the shape is a square and has 4 isosceles triangles that meet at a point. The square prism is like a 3D rectangle. It has 4 rectangles and 2 squares to close the shape.
Hope this helped.