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Olenka [21]
3 years ago
6

Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru

ctors, and 4 science instructors. If an instructor is selected, find the probability of getting a science instructor or a math instructor.
Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

11/19

Step-by-step explanation:

Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.

The probability of selecting a science instructor is 4/19

The probability of selecting a math instructor is 7/19

The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

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3 years ago
Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p
zvonat [6]

Answer:

15.39% of the scores are less than 450

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 = 565, \sigma = 113

What percentage of the scores are less than 450?

This is the pvalue of Z when X = 450. So

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

Z = \frac{450 - 565}{113}

Z = -1.02

Z = -1.02 has a pvalue of 0.1539

15.39% of the scores are less than 450

6 0
3 years ago
The figure is made by attaching semicircles to each side of an 11-ft-by-11-ft
vova2212 [387]

Answer:

by how much degrees should the heat be reduced in the last 5 minutes of banking

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What’s the evaluation to 5x(2) + x for x =3
Mashcka [7]

Answer:

48

Step-by-step explanation:

5 x^2 +x

Let x = 3

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Exponents first

5 * 9+3

Multiply next

45+3

48

5 0
3 years ago
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Evgesh-ka [11]

Answer:

90 eggs

Step-by-step explanation:

9/3=x/30

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×90

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3 years ago
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