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2 years ago

Write an equation in slope-intercept form for the line that passes through (9, 1) and (7, 8).

1 answer:

5 0

8 - 1 = 7
7 - 9 = -2
7 divided by -2 is -3.5

The slope is -3.5 now we need to find the y intercept.

To find the y intercept do -3.5 times 7 and you get -24.5.
Next do 8- -24.5 and you get 32.5 which is the y intercept.

The equation would be y = -3.5x + 32.5

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3 years ago

Kelly drew the angle shown, <br> which value is closest to measurement of Kelly's angle?

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3 years ago

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Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

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Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

now, we can complete square

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step-4:

Take sqrt both sides

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Add both sides by 3

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3 years ago

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

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2 years ago