Answer: 
Step-by-step explanation:
Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .
Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .
Claim : 
We know that the null hypothesis has equal sign.
Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-
And the alternative hypothesis must be :-
Hence, the null hypothesis and the alternative hypothesis that we would use for this test :
Answer: $27
Step-by-step explanation: First we would like to know how much it costs per pound of apples. To find that out simply divide 10.80 by 6 to find the price for one pound. 10.80/6 = $1.80 per pound of apples.
Now, we want to find out how much 15 pounds of apples cost. Simply multiply 1.80 x 15 to find the price of 15 pounds of apples. 1.80 x 15 = $27 for 15 pounds of apples.
Answer: 8 minimum work stations is what would be needed.
Step-by-step explanation:
The cycle time is computed as the operating time daily divided by the scheduled output.
It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.
Therefore,
If you need to produce 30units/hour.
The average cycle time is as follow:
The average cycle time is the average time between the completions of units.
60/30= 2 average cycle time
=16/2
=8
8 work stations is the minimum number that would be needed.
It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.
Given:
The geometric sequence is:
1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and 
.
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:
Putting 
in (i), we get
where
Therefore, the correct option is B.
