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Karo-lina-s [1.5K]
4 years ago
12

The intelligence quotient (iq) test scores are normally distributed with a mean of 100 and a standard deviation of 15. what is t

he probability that a person would score 130 or more on the test?
Mathematics
1 answer:
Taya2010 [7]4 years ago
8 0
                                                        x - 100
Calculate the relevant z-score = ----------------
                                                             15
                            130-100              30
Here, this is z = ----------------- = ----------- = 2
                                     15               15

130 would be 2 std. dev. above the mean here.  

Your job would be to calculate the area under the std. normal curve to the right of z = 2.  Using my TI-83 Plus calculator's built-in normalcdf( function, I found that this probability is 1.00 - 0.977    =    0.023.
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If cosA=4/5 and cosB=3/5 then find a,b,c
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Answer:

a = 3, b = 4, c = 5

Step-by-step explanation:

Assuming we're working with a right triangle, where c is the hypotenuse, then using the definition of the cosine being the adjacent side over the hypotenuse, then we know:

a = 3, because it is the side adjacent to B

b = 4, because it is the side adjacent to A

c = 5, because it is the denominator in bot fractions

This of course assumes that there is no additional ratio in place.  For example, if the lengths were instead 8, 6 and 10 respectively, then the cosines given would still be 4/5 and 3/5.  Truthfully these only tell relative sizes of the sides, and not their absolute sizes.

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Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that?
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Answer:

y =  \frac{3}{2}x - 3

y =  \frac{1}{8} x -  \frac{7}{8}

Step-by-step explanation:

The given system is

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y =  \frac{3}{2}x - 3

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