Answer:
9.7303888 miles
Step-by-step explanation:
Given the following :
Set target = 12 miles per week.
Miles ran on Monday = 4 3/4 miles
Miles ran on Wednesday = 3 1/3 miles
Miles ran on Friday = 1 11/17 miles
Number of miles covered for the week:
(miles covered on Monday + miles covered on Wednesday + miles covered on Friday)
= (4 3/4 + 3 1/3 + 1 11/17) miles
= (19/4 + 10/3 + 28/17) miles
= (4.75 + 3.33333 + 1.6470588) miles
= 9.7303888 miles
To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20
It has to be equated to zero and the values of x are the x-intercepts. So,
4x2 – 24x + 20 = 0
The resulting equation is a quadratic equation which can be solved by different methods. The solution is
x = 5, 1
The average therefore is:
(1+5/)2 = 3
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
Answer:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation: