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

95.03 is the answer. hope this !

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

do have an equation or graph or

step-by-step explanation: