Answer:
Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
Step-by-step explanation:
We are given;
n = 15
t-value = 1.66
Significance level;α = 0.05
So, DF = n - 1 = 15 - 1 = 14
From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14
Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.
I don't understand what integer is being asked for. The question is poorly worded.
The three integers are 7, 9, 11.
4 times 7 = 28
and 3 times 11 = 33
and 28 is 5 less than 33.
Answer:
14 minutes
Step-by-step explanation:
given,
given,
Betsy time taken to read one page = 1.5 minutes
Number of pages in the Betsy book = 116 pages
number of pages in Raymond Book = 94 pages
time taken by the Raymond to read = 11.38 - 8.30
= 3.08 hrs
time taken by Raymond = 188 minutes
time taken by Betsy to read book = 1.5 x 116
= 174 minutes
Raymond take more time than Betsy by = 188 - 174
= 14 minutes
Raymond take 14 minute more than Betsy
Given:
The table of values.
To find:
The average rate of change for the given function from x = −1 to x = 2.
Solution:
From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.
Formula for average rate of change is

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is




Therefore, the correct option is D.
Answer:
a) Cost

b) Sales income

c) Table of values
![\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dq%26C%28q%29%26S%28q%29%5C%5C0%2650%260%5C%5C250%264%2C050%265%2C000%5C%5C500%268%2C050%2610%2C000%5Cend%7Barray%7D%5Cright%5D)
d) Attached
e) Breakeven point = 12.5 sheets
f) Profit at 550 sheets = $1,950
Step-by-step explanation:
a) We have a fixed cost for the image, at $50.
We also have a variable cost of $16 a sheet.
The purchased quantity is 500 sheets.
Then, the cost function is:

b) The price for each sheet is $20, so the income from sales are:

c) Table of values
![\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dq%26C%28q%29%26S%28q%29%5C%5C0%2650%260%5C%5C250%264%2C050%265%2C000%5C%5C500%268%2C050%2610%2C000%5Cend%7Barray%7D%5Cright%5D)
d) Attached
e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:

f) This profit can be calculated as the difference between the sales income and the cost:
