Answer: -2.10
Step-by-step explanation:
Given : 
Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean :-
i.e. 
Hence, the value of the test statistic = -2.10
Answer:
Let’s denote X to be the number of white chips in the sample and E be the event that exactly half of the chips are white. Then,
a) Find α
α = P (reject H0 | H0 is true) = P (X ≥ 2|E)
= P (X = 2|E) + P (X = 3|E),
We took two case, as we can draw only only three chips with two or more white to reject H0, it means we can only take 2 white chips or 3, not more, we get solution
= (5C2 * 5C1)/10C3 + (5C3 * 5C0)/10C3
= 0.5
So, α = 0.5
b) Find β
i) Let E1 be the event that the urn contains 6 white and 4 red chips. (As given)
β = P (accept H0 | E1) = P (X ≤ 1|E1)
= (6C0 * 4C3)/10C3 + (6C1 * 4C2)/10C3
= 1/3
= 0.333
So, β = 0.333
i) Let E2 be the event that the urn contains 7 white and 3 red chips. (As given)
β = P (accept H0 | E2) = P (X ≤ 1|E2)
= (7C0 * 3C3)/10C3 + (7C1 * 3C2)/10C3
= 11/60
= 0.183
So, β = 0.183
<span>A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square.
Thus the dimension of the rectangle will be as follows:
Length=(s+1) inches
Width=(s-6) inches
the area of the rectangle will be given by:
Area=length*width
A=(s-6)(s+1)=s</span>²-5s-6
Answer: <span>f) s^2-5s-6</span>
Well, there isn’t really an end for numbers...
However; The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100. That isn’t the end to numbers but it is a huge one. We will replace that with ‘all the numbers in the world’.
106 is the exponent equivalent to 1 million
So your question would be:
106 x 1010^100 =
However I don’t believe there is a calculator that large.
Answer:
Yes, SAS.
Step-by-step explanation:
For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.
Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.
