The scores received by juniors on the math portion of the PSAT are normally distributed with a mean of 48.6 and a standard deviation of 11.4. What is the probability that a randomly selected score is at least 76?

0.82%

Step-by-step explanation:

We have that the mean (m) is equal to 48.6, the standard deviation (sd) 11.4

They ask us for P (x >76)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (76 - 48.6) / (11.4)

z = 2.4

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <2.4) = 0.9918

Thus:

P (x> 76) = 1 - P (x <76)

P (x> 76) = 1 - 0.9918 = 0.0082

It means that the probability is 0.82%

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

x coordinate is none

step-by-step explanation: