Answer:
468
Step-by-step explanation:
did the test on k12 :)
Answer:
Step-by-step explanation:
The main part of the song is the end. The beginning length is based on the end and so is the middle length. The beginning length is 1/6 as long as the end, so if the end is our main unknown, x, the beginning is 1/6x. The middle is one-half as long as the end, so if the end is our main unknown, x, the middle is 1/2x. The sum of the 3 parts is 370, so:

The GCF of those denominators is 6, so multiply through every term by 6 to get rid of the fractions:

Simplifying gives us
6x + x + 3x = 2220 and
10x = 2220 so
x = 222
That means that the end is 222 seconds, the bginning is 37 seconds, and the middle is 111 seconds.
Answer:
a. 0.09 or 9%
b. 0.324 or 32.4%
c. 0.0972 or 9.72%
Step-by-step explanation:
Male applicants = 3900
Female applicants = 3600
Total applicants = 7,500
Proportion of male applicants (m) = 0.52
Proportion of female applicants (f) = 0.48
a. The probability that a random male applicant is accepted and enrolls is given by the probability of a male student being accepted multiplied by the probability of a male student enrolling:

b. The probability that a random student is accepted is given by the probability of a male applicant being accepted added to the probability of a female applicant being accepted

c. The probability that a random student is accepted and enrolls is given by the probability of a male applicant being accepted and enrolling added to the probability of a female applicant being accepted and enrolling

The alternate interior angles shown are <3 and <5, as well as <2 and <8.
I hope this helped!