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bulgar [2K]
3 years ago
6

1/2(a+b)-(a-b)exponent2 when a=18 and b=14

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

0

Step-by-step explanation:

Substitute the given values for a and b into the expression

\frac{1}{2}(18 + 14) - (18 - 14)²

= \frac{1}{2} × 32 - 4²

= 16 - 16

= 0

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5:1

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A group of married couples takes an IQ test. The average husband's IQ is 105 with an SD of 15 and the average wife's IQ is 110 w
Aloiza [94]

Answer:

Wife' s IQ = 100

0.2% are smarter than their wives.

Step-by-step explanation:

We are given the following information in the question:

Husband:

Mean = 105

SD = 15

Wife:

Mean = 110

SD = 10

Correlation between husband's and wife's IQ = 0.5

a) Let the husbands be represented by X and wives by Y.

Man's IQ = 75

Standardizing the scores, we get:

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

\dfrac{75-105}{15} = -2

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Z_Y = rZ_X

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Z_Y = 0.5(-2) = -1

So,

Y = 110 + (-1)*10 = 100

b) Standard deviation of IQ's of wives married to husbands with IQ of 75 is:

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