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3 years ago

The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?

1 answer:

8 0

50%, because to exceed is to be larger than, so if A is larger than B by 50%, then that means that B is 50% smaller than A.

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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se

notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 5$

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 100}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0

3 years ago

Please help me answer this <br> Will give Brainly

zmey [24]

Answer:

9.103

10. 77

11.60

12. 6.4

13. 20

14. 36

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

180 - (47 + 30) = 103

DEG = 180 - 103 = 77 angles on a straight line equals 180

An equilateral triangle has all 3 sides equal

if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

5² + 4² = 41

squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

5 0

2 years ago

The sum of a number and two times a smaller number is 98 the bigger buy is 22 less than three times the smaller number the two n

34kurt

x+2y=98

x=3y-22

3y-22+2y=98

5y=120

y=24

24 x 3 = 72-22=50

24*2 =48+50=98

the answer is c 50 and 24

3 0

3 years ago

23. Write two fractions, both not positive, whose product is<br> 5/8

iVinArrow [24]

Answer:

maybe i am right

Step-by-step explanation:

-1/4 × -5/2

7 0

3 years ago

What is 39.5% written as a fraction in simplest form

White raven [17]

Answer:

$\frac{79}{200}$

Step-by-step explanation:

39.5% is the same as $\frac{395}{1000}$ . You can simplify it by dividing the numerator and denominator by 5 to get $\frac{79}{200}$ .

8 0

3 years ago

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