Question
1.A group of high school students are volunteering for Habitat for Humanity during their summer break. They are putting the finishing touches on a house
1.A group of high school students are volunteering for Habitat for Humanity during their summer break. They are putting the finishing touches on a house they built. Working alone, Joe can paint a certain room in the house in 7 hours. Anna can paint the same room in 6 hours. How many hours will it take them to paint the room together?
2.A 22-foot extensions ladder leaning against a building makes a angle with the ground. How far up the building does the ladder touch?
3.Among companies doing highway or bridge construction, 70% test employees for substance abuse. A study involves the random selection of 10 such companies. Find the probability that 8 of the 10 companies test for substance abuse.
4.At a particular school 33% of the males play football, 9% of the males play basketball, and 2% play both football and basketball. If a student is selected at random, what is the probability that they play football given that they play basketball?
5.When P(A or B)=P(A)+p(B), events A and B must be:
a.Independent
b.Impossible
c.Mutually Exclusive
d.Unlikely
6.When two coins are tossed, what is the probability that they are both heads?
7.Every normal distribution can be represented by the bell curve.
a.True
b.False
8.John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 9 shirts. How many different outfits can John wear?
9.Our city has 2,400 subscribers for HipHop magazines. Of these, 1,200 subscribe to Magazine A, 500 subscribe to Magazine B, and 100 subscribe to both. What is the probability that a subscriber selected at random subscribes to either Magazine A or B?
10.A distribution that is represented by a curve that is high at the left and has a tail to the right is negatively skewed.
a.True
b.False
Please show detailed work munch appreciated thanks!
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