The correct answer is A. The second term is 3*7 - 6 = 15
3p-1=5(p-1)-2(-7-2p)
multiply the first bracket by 5
(5)(p)=5p
(5)(-1)=-5
multiply the second bracket by -2
(-2)(7)=-14
(-2)(-2p)=4p
3p-1=5p-5-14+4p
3p-1=5p+4p-5-14 ( combine like terms)
3p-1=9p-19
move 9p to the other side
sign changes from +9p to -9p
3p-9p-1=9p-9p-19
-6p-1=-19
move -1 to the other side
-6p-1+1=-19+1
-6p=-18
divide both sides by -6 to get p by itself
to get +p
-6p/-6=-18/-6
Answer:
p=3
Answer: I am confused is this how it is written on the test or whatever?
Step-by-step explanation:
Answer: 0.25
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Work Shown:
A = student selected is an eighth grader
B = chosen student takes bus
P(A) = probability of selecting eighth grader
P(A and B) = probability of selecting eighth grader AND student who takes bus
P(A and B) = probability of selecting eighth grader who takes the bus
P(B|A) = probability of selecting someone who takes the bus given they are an eighth grader
P(B|A) = [P(A and B)]/[P(A)]
P(B|A) = 0.11/0.44
P(B|A) = 0.25
Answer:
Step-by-step explanation:
The mean, , is 90 and the standard deviation, , is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
and we fill in accordingly:
which simplifies to
and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914