A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of
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:
Therefore the rate change of height is m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.
The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is
Differentiating with respect to t.
Putting the value
The rate change of height does not depend on the height.
Therefore the rate change of height is m/s.
Option A
is one way to determine the factors of
by grouping
<em><u>Solution:</u></em>
Factoring by grouping means that you will group terms with common factors before factoring
<em><u>Given expression is:</u></em>
Group the first two terms together and then the last two terms together.
We can see that is common in first two terms
And 3 is common in last two terms
Factor them out
Thus option A is correct