What is the missing number?

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia

prisoha [69]

Answer:

The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be $H_{a}: \mu > 238$

Step-by-step explanation:

At the null hypothesis, we test that the mean is equal to a certain value.

At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.

This means that the null hypothesis is:

$H_{0}: \mu = 238$

A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.

This means that the alternate hypothesis is:

$H_{a}: \mu > 238$

3 0

3 years ago

A sample of 80 high school seniors,45% were are female were surveyed as to wheather or not they are employed outside of school ,

Nataliya [291]

The first thing we must do for this case is find the number of boys surveyed.
We have then:
(1-0.45) * (80) = 44
We are now looking for the number of boys employed.
We have then:
(1-0.25) * (44) = 33
Answer:
there are 33 boys employed.

4 0

4 years ago

Find set A={1, 2, 6, 10} B={3, 6, 9, 10, 11} C = {1, 2, 4, 7, 11}

PilotLPTM [1.2K]

If U = {1, 2, 3, …, 12} is the universal set, and

A = {1, 2, 6, 10}

B = {3, 6, 9, 10, 11}

C = {1, 2, 4, 7, 11}

then

(1) A U B is the set containing all elements from A and B,

A U B = {1, 2, 3, 6, 9, 10, 11}

(2) A ∩ B is the set of elements that are contained in both A and B,

A ∩ B = {6, 10}

(3) Unfortunately, A ∩ B U C is somewhat ambiguous. It could mean (A ∩ B) U C or A ∩ (B U C ). Then either

(A ∩ B) U C = {6, 10} U {1, 2, 4, 7, 11} = {1, 2, 4, 6, 7, 10, 11}

or

A ∩ (B U C ) = {1, 2, 6, 10} ∩ {1, 2, 3, 4, 6, 7, 9, 10, 11} = {1, 2, 6, 10}

The first interpretation is probably the intended one, since that essentially reads the set operations from left to right.

(4) A' U B is the union of A' and B, where A' is the complement of A, or all elements in U that are not in A. We have

A' = U - A = {3, 4, 5, 7, 8, 9, 11, 12}

and so

A' U B = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(5) We have

A U C = {1, 2, 4, 6, 7, 10, 11}

so that

(A U C )' = U - (A U C ) = {3, 5, 8, 9, 12}

(6) We have

B' = U - B = {1, 2, 4, 5, 7, 8, 12}

and so

A ∩ B' = {1, 2}

(7) Using the complements found in (4) and (6), we have

A' U B' = {1, 2, 3, 4, 5, 7, 8, 9, 11, 12}

Alternatively, we can use the fact that

A' U B' = (A ∩ B)'

and since we know from (2) that A ∩ B = {6, 10}, we end up with the same result,

(A ∩ B)' = U - (A ∩ B) = {1, 2, 3, 4, 5, 7, 8, 9, 11, 12}

(8) We have

A U B U C = {1, 2, 3, 4, 6, 7, 9, 10, 11}

so that

(A U B U C )' = {5, 8, 12}

6 0

3 years ago

What is the solution of the equation 3/4x + 5 = -9 PLEASE HELPPPP

kirill115 [55]

Answer:

-18 2/3 or -56/3

Step-by-step explanation:

3 0

3 years ago

9. Find the solutions of the inequality. Show your work.4b – 3 > –1

FrozenT [24]

4b – 3 > –1
4b > 2
b > 1/2

answer
b > 1/2

8 0

3 years ago