Answer and Explanation:
Brielle will run the marathon faster.
Work:
Brielle: 13.1/1.25=10.48*10=104.8 minutes
Joshua: 13.1/1.5=8.73...*18=157.2 minutes
Brielle finished in 104.8 minutes.
Joshua finished in 157.2 minutes.
Brielle finished the half marathon race by 52.5 minutes faster than Joshua.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
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Step-by-step explanation:
Answer:
There is enough evidence to support the claim that the population mean is greater than 100
Step-by-step explanation:
<u>Step 1</u>: We state the hypothesis and identify the claim
and
(claim)
<u>Step 2</u>: Calculate the test value.


<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134
<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).
<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.
<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for
and d.f=39 and compare to the test-value:
The critical value (1.685>1.126) falls in the non-rejection region. See attachment.
NB: The t- distribution must be used because the population standard deviation is not known.
Answer:
180 pages
Step-by-step explanation:
Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;
number of pages = time × speed
= (4 × 60) × 25
= 240 ×25
= 6000 pages
Thus, number of pages photocopied in 4 hours is 6000.
For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;
=
× 3
= 60 × 3
= 180 pages
The expected number of pages with printing error during 4 hour photocopying session is 180 pages.
Solution:
As we have to write an expression , which evaluates to true if the value of the integer variable x is divisible (with no remainder) by the integer variable y, y≠0.
so, when x is divided by y we should get remainder as 0.
Using Euclid division lemma
x= y* q + m, i.e when an integer x is divided by y gives quotient q and remainder m.
Here , m=0
So, x = q * y
So, the expression which describes the above relationship is ,
, where q is Quotient.