Answer:
See explanation below
Step-by-step explanation:
Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.
a) The alternative and null hypotheses would be:
H0: μ ≥ 220
Ha: μ < 220
b) Comment on the conclusion when H0 cannot be rejected:
When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.
c) Comment on the conclusion when H0 can be rejected:
When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.
30 percent off means that we can just reduce 30 percent from .79 to get .55.
divide 10.00 by .55 to get the answer of <span>18.18. The max yogurts Nicola can buy is 18.</span>
Answer:

There are 16 friends at Jack's party.
Step-by-step explanation:
Please consider the complete question.
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party. Find the number of friends at Jack's party.
Since there are x friends at party, so chocolate given to x friends would be 3 times x
because Jack gave 3 chocolates to each friend.
As Jack has 2 chocolates left after giving to his friends, so total numbers of chocolates would be
.
Now we will equate total number of chocolates by 50 as:

Therefore, the equation
can be used to find number of Jack's friends.
Let us solve for x.




Therefore, there are 16 friends at Jack's party.
Answer:
12
Step-by-step explanation:
1/12 is reduced to its lowest point.
3/4 can be increased to 9/12 by:
×
= 
So, the least common denominator is 12.