The fraction form would be 21/4. The decimal form would be 5.25.
Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean, 
= 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
To get her output per hour, you will have to divide her output by the time she took to produce it (in hour)
So per hour she would produce:
9/2 ÷ 1/6 = 9/2 x 6 = 27
The answer is 27 widgets per hour
Answer:
The length of the base of the rectangle is 7 inches
Step-by-step explanation:
The Area of the rectangle can be found out by multiplying length with the breadth
Area= length * breadth
35 squared inches= x *5
5x= 35
x= 35/5
x= 7inches
Hence the length of the base of the rectangle is 7 inches.
If the area and one side are known then we can simply find the 2nd side by simply substituting x in its place and solving the equation.
Answer:
678.24 in³
Step-by-step explanation:
radius r = 6 in
height h = 6 in
volume V = 678.24 in³
lateral surface area L = 226.08 in²
top surface area T = 113.04 in²
base surface area B = 113.04 in²
total surface area A = 452.16 in²
In Terms of Pi π
volume V = 216 π in³
lateral surface area L = 72 π in²
top surface area T = 36 π in²
base surface area B = 36 π in²
total surface area A = 144 π in²
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Calculate volume of a cylinder:
V = πr²h
