A certain psychological test measures empathy and emotional intelligence. The scores for both senior and first-year students at a large university follow an approximately Normal distribution. The mean and standard deviation of the difference D = S – F in scores for a randomly selected pair of senior and first-year students are μD = 19 and σD = 44.6878.

Use the z-table to answer the question.

What is the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair?

A. 0.1976
B. 0.3354
C. 0.6646
D. 0.8024

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8