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3 years ago

Which table represents a linear function?

Mathematics

2 answers:

pshichka [43]3 years ago

8 0

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

torisob [31]3 years ago

7 0

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

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4 years ago

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:

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

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

We know that if we standardize our scores then:

$Z_Y = rZ_X$

Putting value, we get:

$Z_Y = 0.5(-2) = -1$

So,

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

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

$SD = SD_Y\sqrt{1-r^2} = 10\sqrt{1-0.25} = 8.66$

We know that a husband of an IQ 75 will have a wife of a mean IQ of 100. So for a man to be smarter than his wife she should have IQ less than 75.

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3 years ago

Rewrite the rational expression as an equivalent rational expression whose denominator is the given polynomial (9y-1)/(25x^2+30)

stepan [7]

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$\frac{9y - 1}{5(5x^{2} + 6)} = \frac{blank}{10(5x^{2} + 6)}$
$\frac{9y - 1}{1} = \frac{blank}{2}$
$blank = 2(9y - 1)$
$blank = 18y - 2$

3 0

3 years ago