Answer:
a) + x direction, b) .
Step-by-step explanation:
a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.
b)
How is the product of 3 and -2 shown using integer tiles?
2 answers:
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Answer:
A - The proportion of students that like trance music but not dubstep is 10%
B - The proportion of students that like either dubstep or trance is 40%
C - The proportion of students that like neither trance music nor dubstep is 60%
D - The proportion of students that didn’t select any of the music options available on the survey was 40%
E - The proportion of students that preferred either dubstep or trance is calculated by: P(D) + P(T) - P(D and T)
F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is 60%
Step-by-step explanation:
P(D)=the students preferred dubstep=30%
P(T)=the students selected trance music=25%
P(H)=the students selected house music=20%
P(D and T)=the students liked both dubstep and trance=15%
<em><u>A - The proportion of students that like trance music but not dubstep is:</u></em>
P(T) - P(D and T)=25%-15%=10%
<u><em>B - The proportion of students that like either dubstep or trance is:</em></u>
P(D) + P(T) - P(D and T) =30%+25%-15% = 40%
<u><em>C - The proportion of students that like neither trance music nor dubstep is</em></u>
100% - (P(D) + P(T) - P(D and T) ) =60%
<u><em>D - The proportion of students that didn’t select any of the music options available on the survey was:</em></u>
100% - (P(H)+P(D) + P(T) - P(D and T) ) =40%
<u><em>F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:</em></u>
=
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Answer:
19.35% probability that five will have completed four years of college
Step-by-step explanation:
For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So 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.
28% of individuals
This means that
For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?
This is P(X = 5) when n = 15. So
19.35% probability that five will have completed four years of college