An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10% of the test grades. To the nearest percent, what is the dividing point between an A and a B grade? Select one:
a. 80
b. 85
c. 90
d. 95

Answers

Answer 1
Answer:

Answer:

b. 85

Step-by-step explanation:

Average grade (μ) = 75

Standard deviation (σ) = 8

Assuming a normal distribution, the z-score corresponding to the upper 10% of the test grades is z = 1.28.

The minimum grade 'X' within the top 10% is given by:

z=(X-\mu)/(\sigma)\n1.28=(X-75)/(8)\nX=85.24

Rounding to the nearest percent, the dividing point between an A and a B grade is 85.


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2. 4x - 2y = -6
-6x + 2y = 2

Answers

Answer:

x = 2, y =7

Step-by-step explanation:

4x - 2y = -6

-6x + 2y = 2

Add the equations together

4x - 2y = -6

-6x + 2y = 2

-----------------------

-2x = -4

Divide each side by -2

-2x/-2 = -4/-2

x = 2

now find y

-6x+2y =2

-6(2) +2y =2

-12+2y =2

Add 12 to each side

-12+12+2y = 2+12

2y =14

Divide by 2

2y/2 =14/2

y =7

Is 4/12 closer to 0 , 1 or 1/2

Answers

Answer: 4/12  is closer to 0

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

it takes only 2 more 12s to go to 1/2

triangle town wants to build a school that is equidistant from its three cities L,M, and N. Which construction correctly finds the best location of the school? A. Construction Y because point E is the incenter of triangleLMN B. Construction Y because point E is the circumcenter of triangleLMN C. Construction X because point C is the incenter of triangleLMN D. Construction X because point C is the circumcenter of triangleLMN

Answers

Answer:

A

Step-by-step explanation:

Construction Y because point E is the circumcenter of Triangle LMN

Which value of x is in the solution set of the inequality -2(x-5)<4

Answers

The value of X would be: x > 3

Rachel wants to purchase a new I-Tablet on Black Friday for $450. Better Buy offers twoinstallment plans for purchasing this item.
Plan A: a fixed weekly payment of $25
Plan B: a $120 initial payment, followed by weekly payments of $5
After 12 weeks, how much money would Rachel spend on each plan?
A Plan A: $300; Plan B: $60
B Plan A: $300; Plan B: $180
C Plan B: $300; Plan A: $60
D Plan B: $300; Plan A: $180

Answers

Answer:

hmmmmm im not sure

Step-by-step explanation:

Answer:

C.plan B: $300;planA:$60

not completely sure this is the answer but I hope this helps

Step-by-step explanation:

WITH GRAPHWhat is the y-intercept of this line? A. (-2,0) B. (0,-2) C. (0,1) D. (1,0)

Answers

Answer:

(0, -2) (Answer B)

Step-by-step explanation:

Recall that the y-axis represents x = 0.  The blue line crosses (intercepts) the y-axis when x = 0.  The corresponding y-coordinate is -2.  Thus, the y-intercept is (0, -2), or just -2.