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aivan3 [116]
3 years ago
12

What is 10b +19 when b= -2

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

-1    i hope this helps!    :)

Step-by-step explanation:

you are given both 10b + 19    and b = -2

lets plug in the value of b

10b(-2) + 19

multiply the 10b and the -2

-20b + 19

-20 + 19 = -1

-1

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 100, \sigma = 15

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

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

Z = \frac{115 - 100}{15}

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Z = 1 has a p-value of 0.8413.

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