Answer:
option C.
Yes, the water tank is about 245 cubic feet too small
Step-by-step explanation:
step 1
Determine the volume of the cylindrical tank
we know that
The volume of a cylinder is equal to

Remember that

we have

assume

substitute


Compare with 251 cubic feet

therefore
Yes, the water tank is about 245 cubic feet too small
Answer:
Step-by-step explanation:
The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.
That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,
(1/2) ÷ (1/4) = (1/2) × (4/1) = 2
That doesn’t help you answer this particular question, though.
Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Probability that gear 1 will fail = 5/100 (upto 10 years)
and 8/100 (after 10 years)
Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %
Answer:

Step-by-step explanation:
we have a exponential function of the form

where
y is the population of San Francisco
x is the number of years
a is the initial population
b is the base
r is the rate of grown
b=(1+r)
In this problem we have


ordered pair (6, 870,887)
substitute in the exponential function 

Solve for a


so
The exponential function is equal to

In 5 more years the number of years will be equal to
6+5=11 years
For x=11 years
substitute the value of x in the exponential function and solve for y

