The answer to this question is that the trains will meet after 3 hours.
We can work this out by considering that is the closing speed of the two
trains is (50+60=)110 miles per hour, then this must mean that the
combined distance that the trains need to travel before they meet is 330
miles. If the time that is taken to travel 330 miles at 110 miles per
hour, then you simply need to divide 330/110 to find your answer - 3
hours.
Answer:15
Step-by-step explanation:5 and 3 both go into 15
Answer:
201.1 km²
Step-by-step explanation:
Surface area of the figure,
4πr²
= 4×π×4²
= 64π
= 201.1 km² (rounded to the nearest tenth)
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.
The 3 sides of the triangle are PR = 8.4, OR = 5.4 and OP = 3.1
Step-by-step explanation:
Step 1 :
Given
PR = 3x - 0.6
OP = x + 0.1
OR = x + 2.4
Also the 2 sides OR and PR are said to be equal.
So we have OR = PR
=> 3x - 0.6 = x + 2.4
=> x = 2.4 + 0.6 => x = 3
Step 2 :
we have ,
PR = 3x - 0.6 = 3(3) - 0.6 = 8.4
OR = x + 2.4 = 3 + 2.4 = 5.4
OP = x + 0.1 = 3 + 0.1 = 3.1
Step 3 :
Answer :
The 3 sides of the triangle are
PR = 8.4
OR = 5.4
OP = 3.1