Answer:
Step-by-step explanation:
The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as
H0 : µ ≤ 34
The alternative hypothesis would be
Ha : µ > 34
This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be
Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.
Answer:
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Step-by-step explanation:
Answer:3
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the volume of the sphere with V2
So, from the first statement: we have:

and

To solve for
, we simply substitute
for
in 




Hence, the volume of the sphere is 
Answer:
69.92°F
Step-by-step explanation:
Given:
Initial temperature ( i.e at time, t = 0) = 40°F
Temperature of the room = 70°F
Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F
Now, from Newton's law of cooling
T'(t) = k(A - T(t))
T(t) temperature after time t
T'(t) =
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T =
............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 = 
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 = 
or
k =
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T = 
or
T = 70 - 0.0780
or
T = 69.92°F