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katovenus [111]
3 years ago
11

some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distribute

d with a mean of 100 and a standard deviation of 17 and if the population of the world is 6,575,000,000, how many geniuses are there in the world today
Mathematics
2 answers:
denis23 [38]3 years ago
6 0

Answer:

61,239,550

Step-by-step explanation:

We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;

Pr( X>140)

The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314

From a population of 6,575,000,000 the number of geniuses would be;

6,575,000,000*0.009314 = 61,239,550

andreyandreev [35.5K]3 years ago
4 0

Answer:

61,805,000

Step-by-step explanation:

lets assume, no of geniuses = X

P(X > 140) = P(z > (140 - 100)/17)

                = P(z > 40/17) ⇒ P(z > 2.352)

1 - P(z < 2.352) = 1 - 0.9906 ⇒ 0.0094

The number of geniuses in the world today are:

0.0094 x 6,575,000,000 = 61,805,000

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Nataliya [291]

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

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3 years ago
7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years?
My name is Ann [436]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\ A=?\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

A=7,900(1.605)

A=\$12,679.50

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2 years ago
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Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard-long pieces can she cut from this ribbon?
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The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
ddd [48]

Answer:

a = 8 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

Volume of a Cube Formula: V = a³

  • <em>a</em> is a side length

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>V</em> = 512 cm³

<u>Step 2: Find </u><em><u>a</u></em>

  1. Substitute in variables [Volume of a Cube Formula]:                                    512 cm³ = a³
  2. [Equality Property] Cube root both sides:                                                      8 cm = a
  3. Rewrite:                                                                                                             a = 8 cm
8 0
3 years ago
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