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nasty-shy [4]
3 years ago
12

A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of

100. if the top 3% of students receive $500, find the minimum score you would need to receive this award.
Mathematics
1 answer:
Igoryamba3 years ago
7 0

To solve for the minimum score required, we find for the z score value at P = 0.97 (top 3%). The z score is:

z = 1.88

Then we use the formula to find for X:

z = (X – u) / s

1.88 = (X – 400) / 100

X = 588

 

<span>You have to score at least 588.</span>

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Solve for x Solver for x
Vlada [557]

Answer:

x = 4

Step-by-step explanation:

since it is an equilateral triangle, each angle is 60°. To find x, set up the equation 17x-8=60

17x = 68

x=4

5 0
3 years ago
The sum of a whole number and twice the square of the number is 10. Find the number.
sveticcg [70]

Answer:

x = \frac{10}{1 + 2x}

Step-by-step explanation:

Let the number be x

x + 2x² = 10

Factorize x + 2x²

x(1 + 2x) = 10

Divide both sides by (1 + 2x)

x = \frac{10}{1 + 2x}

6 0
3 years ago
Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
You want to walk from home to a clothing store that is 3/8 miles away. You stop for a rest after 1/4 miles. How much farther do
choli [55]
3/8-1/4

3/8-2/8

1/8 miles left
3 0
3 years ago
Read 2 more answers
you are considering 2 jobs. one job pays $250 per week, plus 4.5% commission on all sales. The second job pays $1,800 per month
Hoochie [10]
The correct answer is A. Not only does $250 a week equal $1000 a month but the commission is also higher.

first job: $250wk = $1000 Month + .045 commission 
= $12000 year + .045 commission 
second job = $1800 Month + .03 commission 
= $21600 year + .03 commission 
commission based on sales of $1,000,000 

1,000,000 times .045 = $45000 
1,000,000 times .030 = $30000 

FIRST JOB: $12,000 + $45,000 = $57,000 
SECOND JOB: $21,600 + $30,000 = $51,600 

The answer is definitely A.
5 0
3 years ago
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