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:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
Yes, $40 is a reasonable amount to pay for the cab fare.
<em><u>Explanation</u></em>
Sheri’s cab fare was $32 and the percentage of gratuity is 20%
So, the amount of gratuity will be:
Thus, <u>the fare of the cab including the gratuity</u> will be:
As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or <u>$1.60 more to the cab driver</u>. So, the $40 check is a reasonable amount to pay for the cab fare.
Answer:
Option E) 61.6
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 bushels per acre
Standard Deviation, σ = 30 bushels per acre
We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.
Formula:
P(X>x) = 0.90
We have to find the value of x such that the probability is 0.90
P(X > x)
Calculation the value from standard normal table, we have,
Hence, the yield of 61.6 bushels per acre or more would save the seed.
Answer: Ian's calculation was wrong.
Step-by-step explanation:
Given: the amount of fat in 4 cups of chicken soup=
Then, the estimated amount of fat in 1 cup of chicken soup=
Now, to divide 13 by 4 we can use estimation that 13 is near to 12 anhd 12 divided by 4 is 3.
Therefore, the estimated amount of fat in 1 cup of chicken soup =3
But Ian calculated that the amount of fat in 1 cup soup = 0.331 which is estimated to 0.
Therefore, Ian's calculation was wrong.