Answer:
Test statistic = - 0.851063
- 2.520463
Step-by-step explanation:
H0 : μ ≥ 15
H1 : μ < 15
Sample mean, xbar = 14.5
Sample standard deviation, s = 4.7
Sample size = 64
Teat statistic :
(xbar - μ) ÷ (s/√(n))
(14.5 - 15) ÷ (4.7/√(64))
= - 0.851063
The critical value at α = 0.05
Using the T - distribution :
Degree of freedom, df = 64 - 1 = 63
Tcritical(0.05, 63) = 1.6694
Test statistic - critical value
-0.851063 - 1.6694
= - 2.520463
Let 
. Then
and substituting these into the ODE gives
Let 
, so that 
. Then the ODE is linear in 
, with
Multiply both sides by 
, so that the left side can be condensed as the derivative of a product:
Integrating both sides and solving for 
gives
Integrate again to solve for 
:
and finally, solve for 
by multiplying both sides by 
:
already accounts for the term in this solution, so the other independent solution is 
.
area of rectangle= length × width
= 19×33
= 627 sq units
Answer:
26.25 cubic inches
Step-by-step explanation:
To find the volume of a rectangular prism, you simply need to multiply together the lengths of all the varying side lengths. 
. Hope this helps!
Steps:
Answer: 7000 degrees per second
