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Helga [31]
3 years ago
5

The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distributio

n, what test score separates the top 25% of the students from the lower 75% of students?
Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

74.72

Step-by-step explanation:

Given

mean\left ( \mu \right )=70

Standard deviation \left ( \sigma \right )=7

For Top 25%

P\left ( Z

and Z value for 75 % is 0.6744

Thus score which separates the Top 25% of students is

=\mu +\sigma \cdot Z

=70+7\cdot 0.6744=74.7208

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Genrish500 [490]
Both came to India Alexander on horse and Winnie the Pooh on tv
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2 years ago
The sum of four consecutive even integers is 300.
Crazy boy [7]

integer 1: x

integer 2: x + 2

integer 3: x + 4

integer 4: x + 6

integer 1 + integer 2 + integer 3 + integer 4 = sum

     x       +     x + 2     +      x + 4   +     x + 6     = 300

4x + 12 = 300

      4x = 288

        x = 72

Answer: 72, 74, 76, 78

5 0
3 years ago
8x10,000+8x1,000+7x100+6x1
Natalka [10]
The answer is 88,706
8 0
3 years ago
Solve the system of equations.<br> 3x + 2y = 56<br> 5x-2y =24
Alexandra [31]

Step-by-step explanation:

PRIMERO encuentras x

3x + 2y = 56

<u>5x - 2y = 24</u>

8x        = 80

x = 80/ 8 = 10

LUEGO PARA ENCONTRAR y TOMAS cualquiera de las dos DE LAS

ECUACIONES Y SUSTITUYES x

3(10) + 2y = 56

30 + 2y = 56

y = 56 - 30/2 = 13

3 0
2 years ago
NEED HELP ASAP! Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine wether or not
puteri [66]
We will apply the formula:
AB = rad((Xb-Xa)^2+(Yb-Ya)^2)

PQ = rad((3-0)^2+(2-1)^2) = rad(9+1) = rad(10)
PR = rad((5-0)^2+(-4-1)^2) = rad(25+25) = rad(50)
QR = rad((5-3)^2+(-4-2)^2) = rad(4+36)=rad(40)

We can apply the reverse of the Pythagorean Theorem(If a triangle has sides of lengths a, b, and c where c is the longest length and c^2 = a^2 + b^2, then the triangle is a right triangle)

PQ^2+QR^2=PR^2
10+40=50 TRUE

The final statement is that <span>PQR is a right triangle with <PQR as a right angle.</span>
6 0
3 years ago
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