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lyudmila [28]
3 years ago
12

The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected resi

dents of certain county included 1110 who were over the age of 25, and 871 of them were high school graduates.Find the mean and standard deviation for the number of high school graduates in groups of 1110 Americans over the age of 25.
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

Mean = 910.2

Standard deviation = 12.8

Step-by-step explanation:

82% over the age of 25 are high school graduates.

A survey randomly selected students of certain country included 1110 who were over the age of 25 and 871 of them were high school.

n = 1110

p = 82% = 0.82

q = 1 - 0. 82

q = 0.18

Mean = np

= 1110*0.82

= 910.2

Standard deviation = √npq

= √ 1110*0.82*0.18

=√163.836

= 12.8

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The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone c
dem82 [27]

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

Probability of generator malfunction = 10% = 0.1  

Probability of generator being repaired = 50% = 0.5

probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

probability of an electric power outage = 2_c_1 × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )

so we substitute in our given values;

probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )

probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75

probability of an electric power outage = 0.075 or 7.5 %

3 0
3 years ago
The length of a rectangle is seven times its width. The area of the rectangle is 175 square centimeters. Find the dimensions of
dimulka [17.4K]

Answer:

<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

7 0
3 years ago
The final exam scores in a statistics class were normally distributed with a mean of
IRISSAK [1]

Answer:

68.27%

Step-by-step explanation:

By the Empirical Rule, as 65% and 75% are both one standard deviation apart from the mean of 70%, then this represents 68.27% of the data.

4 0
2 years ago
(PLEASE HELP QUICKLY) Melanie and her children went into a grocery store and she bought $14 worth of apples and bananas. Each ap
Step2247 [10]

Answer:

6 apples and 5 bananas

Step-by-step explanation:

x + y = 11

x = 11 - y

1.75x + 0.70y = 14

1.75(11 - y) + 0.7y = 14

19.25 - 1.75y + 0.7y = 14

5.25 = 1.05y

y = 5

x = 11 - 5 = 6

4 0
3 years ago
Read 2 more answers
Which number has a 6 that is 1/10 of the value of the 6 in 7,639
Shalnov [3]

Answer:

60

Step-by-step explanation:

the 6 in 7639 has a value of 600

600/10 = 60

5 0
2 years ago
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