60 students were given a history exam. Their scores were normally distributed with a mean of 75.5 and standard deviation of 11.9. The original scores are shown in the table. A.) If a student earns a score of 88, what is the z-score for this raw score?

B.) What is the percent of the scores above and below 88? Write as a percent rounded to 1 decimal place.

C.) What percent of the exam scores are between 70 and 90?

D.) What score would a student have earned if there z-score was 1.4?

E.) What score would a student have to earn to be in the 80th percentile?

F.) Now Consider both John and Mary both took tests on the same day. John took a history test in the class above and Mary took a math test. John scored an 85 on the history test in the class above and his sister Mary took a math test and scored 81.

Now if it was known that the distribution of the math grades was also normally distributed with a mean of 76 and standard deviation of 2, who scored better in comparison to their class? It appears John’s has a higher overall raw score, but who did better with respect to their class? How do you know?

i will pick c put check it over to be sure

step-by-step explanation:

its 8

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

lol.

it's ok we all do this sometimes.

-aparri