1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
djyliett [7]
3 years ago
8

On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the per

cent of scores that are: a) Between 90 and 100
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

34.134%

Step-by-step explanation:

Given :

Normal distribution ;

Mean, m = 100 ; Standard deviation, s = 10

Percentage score between 90 and 100

P(90 ≤ x ≤ 100)

Recall : Zscore = (x - m) / s

P[(90 - 100) / 10 ; (100 - 100) / 10]

P[(10/10 ; 0 / 10)]

P(Z ≤ 1) - P(Z≤0) (Using Z probability calculator)

0.84134 - 0.5

= 0.34134

= 0.34134 * 100%

= 34.134%

You might be interested in
Perform the indicated operation:
yaroslaw [1]

The expression \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} } is equal to \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3}.

<h3>How to simplify a composite algebraic expression</h3>

In this question we must use properties of <em>real</em> algebra to simplify a given expression as most as possible. We proceed to show each step with respective reason.

  1. \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} }  Given
  2. \frac{m\cdot n \cdot (m^{2}-16\cdot n^{2})}{3\cdot m + 12\cdot n}   \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{c\cdot b}
  3. \frac{m\cdot n \cdot (m-4\cdot n)\cdot (m+4\cdot n)}{3\cdot (m+4\cdot n)} Distributive property/a^{2}-b^{2} = (a +b)\cdot (a-b)
  4. \frac{m\cdot n \cdot (m-4\cdot n)}{3} Existence of the multiplicative inverse/Modulative property
  5. \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3} Distributive property/x^a\cdot x^{b} = x^{a+b}/Result

To learn more on algebraic expressions, we kindly invite to check this verified question: brainly.com/question/953809

7 0
2 years ago
2/3x - 21/4 = 27/4 x=
EleoNora [17]

Answer: x=-63/73

Step-by-step explanation:

Multiply both sides by 12, Move constant to the right hand side and change its sign, Move variable to the left hand side and change its sign, collect like terms, divide both sides of the equation by -73, x=-63/73 (- 63 over 73)

6 0
3 years ago
Read 2 more answers
Is 39.81 rational or irrational
Andru [333]

Answer:

its rational

Step-by-step explanation:

:)

7 0
3 years ago
Read 2 more answers
In the coordinate plane, three vertices of rectangle abcd are a(0, 0, b(0, a, and d(b, 0. what are the coordinates of point c?
serious [3.7K]
So the point would be c)0,0
3 0
3 years ago
Please help and explain.
Alexandra [31]

Answer:

-1/3

Step-by-step explanation:

Use the formula, (y2 - y1)/(x2 - x1).  In this case, there is a negative slope.  

Start from point, (1, 9) and go to point (4, 8).  

Use the formula:

(y2 - y1)/(x2 - x1)

Y2 = 8

Y1 = 4

X2 = 9

X1 = 1

(8 - 9)/(4 - 1) = -1/3

Therefore, the slope is -1/3

6 0
2 years ago
Read 2 more answers
Other questions:
  • Given a polynomial p(x) and a value p(a) = 0, determine what is true about the polynomial
    14·1 answer
  • To the nearest​ millimeter, a cell phone is 135 mm long and 66 mm wide. What is the ratio of the width to the​ length?
    6·1 answer
  • Need help ASAP!!!!!!
    9·1 answer
  • What is 481,026.03 in expanded form using powers of ten.
    5·1 answer
  • Which graph represents the solution set to the system of inequalities? Please help thank you!
    5·1 answer
  • The table shows the gallons of fuel remaining after a car
    6·1 answer
  • Question #7: Which revolution resulted from the division of society shown in this diagram?
    12·1 answer
  • Use inverse operations to solve: x + 3.2 = 7
    15·1 answer
  • 8 is 40% of what
    11·1 answer
  • Which of the following points is located in the third quadrant of the coordinate plane?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!