Answer:
(C) They have the same coefficient of variation
Step-by-step explanation:
The coefficient of variation (CV) is calculated using the formula:

Where
represents standard deviation and
represents the mean.
Bob's average weight is 200 pounds with a standard deviation of 16 pounds
This indicates that
.
Thus, his coefficient of variation is

Mary's average weight is 125 pounds, with a standard deviation of 10 pounds.
This implies 
Therefore, her coefficient of variation is

Since both have the same coefficient of variation, the accurate response is.
(C) They have the same coefficient of variation
Answer:
840
Step-by-step explanation:
As the arrangement matters, we apply the permutations formula to find the solution.
Permutations formula:
The count of possible arrangements of x items chosen from a total of n items is defined by this formula:

For this problem:
Jose occupies the first seat.
The other four can be arranged among the remaining 7 family members. Thus

Hence, the final answer is:
840
This problem can be addressed by applying the normal approximation to a binomial distribution.
Calculations:
Mean (μ) = np = 10,000 × 0.5 = 5,000
The standard deviation (σ) is given by:


The probability of obtaining more than 5,100 tails is 0.0228, whereas the probability of fewer than 5,100 tails is 0.9772.
Thus, the odds of having more than 5,100 tails are:
0.0228 : 0.9772 = 1 : 42.86.
Answer:
(B) There is a single solution: x = 0.
Step-by-step explanation:
The equation that Kate is attempting to solve is: 

Consequently, this equation results in one solution: x = 0.
Answer: 470.85 gallons
Step-by-step explanation:
12.9 gal/min multiplied by 36.5 min equals 470.85 gal