Answer:
46,189
Step-by-step explanation:
The prime numbers that are less than 20 are :
1,2,3,5,7,11,13,17,19
to get the greatest value, we multiply the four numbers with the largest values i.e
11 x 13 x 17 x 19 = 46,189
Answer:
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Step-by-step explanation:
For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
97.4% finished:
This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that 
100 runners are chosen at random
This means that 
Find the probability that at least 5 of them did not finish the marathon
This is:

In which









0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Answer:
c is correct answer for you
Answer:
Simplifying
3n + 7 = 30
Reorder the terms:
7 + 3n = 30
Solving
7 + 3n = 30
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 30 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 30 + -7
3n = 30 + -7
Combine like terms: 30 + -7 = 23
3n = 23
Divide each side by '3'.
n = 7.666666667
Simplifying
n = 7.666666667
Step-by-step explanation:
Answer:
b) (156.7, 167.3).
Step-by-step explanation:
Sample size (n) = 16 restaurants
Mean coffee temperature (X) = 162 degrees
Standard deviation (s) = 10 degrees
degrees of freedom (n-1) = 15
t-score for a 95% confidence interval (t) = 2.131415
Assuming a normal distribution, the confidence interval is given by:

The lower (L) and upper (U) bounds of the confidence interval are:

The confidence interval is b) (156.7, 167.3).