Answer:
D. 7.29.
Step-by-step explanation:
For a Normal Distribution:
Q1 = mean - (0.675) * standard deviation
= 8.5 - 0.675*1.8
= 7.285.
Answer:
$403.15
Step-by-step explanation:
Principal loan amount is the total amount minus down-payment:

Knowing that
, the monthly payments can be calculated using the formula:
![M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15](https://tex.z-dn.net/?f=M%3DP%5B%5Cfrac%7Br%281%2Br%29%5En%7D%7B%281%2Br%29%5En-1%7D%5D%5C%5C%5C%5C%3D23000%5Cfrac%7B%280.006658%281.006658%29%5E%7B72%7D%7D%7B1.006658%5E%7B72%7D-1%7D%5C%5C%5C%5C%3D403.15)
Hence, the monthly payment is $403.15
The velocity v and maximum height h of the water being pumped into the air are related by the equation
v= 
where g = 32
(a) To find the equation that will give the maximum height of the water , solve the equation for h
v= 
Take square root on both sides
= 2gh
Divide by 2g on both sides
= h
So maximum height of the water h = 
(b) Maximum height h= 80
velocity v= 75 ft/sec
Given g = 32
h = 
h = 
h= 87.89 ft
The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.
So the pump will meet the fire department needs.
Answer:
Death Valley California
C(t) = -0.30 (0)² + 40
C(t) = 40
C(t) = -0.30 (12)² + 40t – 12)2 + 40
65f
Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²
Area of a circle = πr²
Area of the shaded region = 4r² - πr² = <span>r²(4-π)</span>