Reagan scores 1140 on the sat. the distribution of sat scores in reference population is normally distributed with mean 1000 and standard deviation 100. jessie scored 30 on the act. the distribution of act scores in reference population is normally distributed with mean 17 and standard deviation 5. who performed better on the standardized exams and why?

a. reagan scores higher than jessie. reagan’s score was 1140, which is greater than jessie’s score of 30

b. reagan’s scores higher than jessie. reagan’s standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than jessie’s standardized score of 2.6 standard deviations above the mean.

c. reagan scores higher than jessie. reagan’s score was 140 points above the mean of 1000, and jessie’s was 13 points above the mean of 17.

d. jessie scored higher than reagan. jessie’s standardized score was 2.6, which is 2.6 standard deviations above the mean and reagan’s standardized score was 1.4, which is 1.4 standard deviations above the mean.

e. jessie scored higher than reagan. jesus is only 6 points from the top score of 36 on the act, and reagan is 460 points from the top score of 1600 on the sat.

! it would be greatly appreciated : ))

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!

correct answer is b. 27/8

step-by-step explanation: