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____ [38]
3 years ago
12

What is the length of SU? Please show work!

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Check the picture below.

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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
The sum of two consecutive odd integers is 56. what is the smaller number?
pentagon [3]
56÷2=28
28-1=27
so the smaller number is 27
5 0
2 years ago
Wha it is 2,200 divided by 30 and 2,300 divided by 30
Paladinen [302]

Answer:

2,200/30=73.3333333

2,300/30=76.6666667

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the factorization of the expression below?
sesenic [268]

16x² - 49

= (4x)² - 7²

Identity =》 a² - b² = (a + b) (a - b)

(4x)² - 7²

= (4x + 7) (4x - 7) [3rd option]

_______

Hope it helps ⚜

4 0
2 years ago
Read 2 more answers
What is 21/2 as a mixed number?
Daniel [21]
Since a fraction is a form of division, you do 21/2=10 and 1/2.
3 0
3 years ago
Read 2 more answers
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