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AnnyKZ [126]
3 years ago
8

The scores of 1000 students on a standardized test are normally distributed with a mean of 50 and a standard deviation of 5. wha

t is the expected number of students who had scores greater than 60
Mathematics
1 answer:
ra1l [238]3 years ago
3 0
We are looking to find P(X>60 students)

X is normally distributed with mean 50 and standard deviation 5

We need to find the z-score of 60 students 
Z= \frac{60-50}{5}=2

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228

The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
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What can you divide a2b5 by to get a quotient of 1?
Kitty [74]

9514 1404 393

Answer:

  a^2b^5

Step-by-step explanation:

Anything divided by itself is 1.

That is, anything multiplied by its reciprocal is 1. This value (the reciprocal of the expression) is called the "multiplicative inverse." Its value is that the product of an expression and its multiplicative inverse is 1, the multiplicative identity element. (Anything times 1 is itself.)

So, to get 1 as a product, multiply by 1/(a^2b^5), which is to say, divide by a^2b^5 to get 1 as a quotient.

8 0
2 years ago
Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express t
marishachu [46]

Answer:

19.2

Step-by-step explanation:

<u>1st Case:</u>

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

<u>2nd Case</u>

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

<u>Final Step</u>

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: <u>19.2</u>

6 0
3 years ago
4/35 convert to to a decimal rpund to thousandths place please help will give brainest ​
Lina20 [59]

Answer:  0.11429 (Rounded to fifth decimal place)

6 0
3 years ago
What is the solution of 3x + y = 9 and 3x − 5y = 15?
Marianna [84]
So there are two ways.
First you could solve for y and plug it into the calculator. one equation for y1 and another for y2. Then go 2nd trace and press 5 and then press enter 3 times  to find the intersection. 
the second way is to solve by hand. I would suggest solve the first equation for y and plug the equation solved for y into the other equation. so y = -3x + 9 and 3x-5y=15. Then you could do 3x - 5(-3x+9) = 15. Finally solve for x and plug in x into both equations to see if you get the same y value. 
The answer should be (10/3, -1) 
3 0
3 years ago
Read 2 more answers
The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number
zhuklara [117]

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

<em>Let us revise some facts in a polygon</em>

  • The sum of the exterior angles of any polygon is 360°
  • At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
  • A regular polygon has equal angles and equal sides

<em>In our question </em>

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

   a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

   number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

5 0
3 years ago
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