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2 years ago

What multiplies to 16 and adds to 1

Mathematics

1 answer:

DerKrebs [107]2 years ago

5 0

8 multiplies to 16 but what do you mean about adds to one

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IQ scores are normally normally distributed with a mean of 100 and center deviation of 15 if one person is randomly selected wha

Arlecino [84]

Answer:

22.86% probability that the persons IQ is between 110 and 130

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:

$\mu = 100, \sigma = 15$

If one person is randomly selected what is the probability that the persons IQ is between 110 and 130

This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.

X = 130

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

$Z = \frac{130 - 100}{15}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 110

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

$Z = \frac{110 - 100}{15}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486

0.9772 - 0.7486 = 0.2286

22.86% probability that the persons IQ is between 110 and 130

6 0

2 years ago

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

The ratio of North American Butterflies to South American butterflies at a butterfly park is 7:4. The ratio of South American bu

andrew-mc [135]

There are 23 south ameican for evry 1

6 0

3 years ago

I NEED HELP ASAP 40points

kaheart [24]

Answer:

5, 9 go in the boxes (left to right)

2 goes in second box on the bottom

Step-by-step explanation:

i dont what goes in the first bottom box

6 0

2 years ago

Solve x2 - 4x + 1 = 0.<br> x = 2+ 21-25<br> X = 4+<br> X = 2+ 3<br> x = -2+

adelina 88 [10]

I think the answer is this
2x-4x+1=0
Combine like terms
-2x+1=0
Subtract 1 both sides
-2x=-1
Divide by -2 both sides
x=-1/2

5 0

2 years ago