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Readme [11.4K]
2 years ago
6

Suppose the systolic blood pressure of an adult male is normally distributed with a mean of 138 mm of mercury and standard devia

tion of 10. If an adult male is picked at random, find the probability that his systolic blood pressure will be… a. Greater than 160 mm
Mathematics
1 answer:
AfilCa [17]2 years ago
5 0

Using the normal distribution, it is found that there is a 0.0139 = 1.39% probability that his systolic blood pressure will be greater than 160 mm.

<h3>Normal Probability Distribution</h3>

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of 138 mm, hence \mu = 138.
  • The standard deviation is of 10 mm, hence \sigma = 10.

The probability that his systolic blood pressure will be greater than 160 mm is <u>1 subtracted by the p-value of Z when X = 160</u>, hence:

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

Z = \frac{160 - 138}{10}

Z = 2.2

Z = 2.2 has a p-value of 0.9861.

1 - 0.9861 = 0.0139

0.0139 = 1.39% probability that his systolic blood pressure will be greater than 160 mm.

You can learn more about the normal distribution at brainly.com/question/24663213

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Alex777 [14]
The answer is 1.80 because

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3 years ago
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Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
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Answer:

15 years

Step-by-step explanation:

Given data

P=$1,000

R=8%

A= $2200

I= A-P

I=2200-1000

I=$1200

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1200=1000*8*T/100

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T=15  years

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Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.)
solniwko [45]

Answer:

y = - 0.9167 - 0.75x

Step-by-step explanation:

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(−1, 0), (1, −2), (3, −3)

X : - 1, 1, 3

Y : 0, - 2, - 3

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y = C + mx

Where ;

C = intercept ; m = slope / gradient

Using the regression model calculator on the data values given above :

Slope (m) = - 0.75

Intercept (c) = - 0.9167

Hence,

y = - 0.9167 - 0.75x

c

6 0
2 years ago
The ratio of red cars to blue cars in a parking lot 5:3 if there were 40 red cars how many blue cars were there?
Vlada [557]

Answer:

24

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5 0
3 years ago
Someone can help me for all the question ?
Dvinal [7]

Answer:

1. 5

2. 3 adult tickets; 2 child tickets

3. See below

Step-by-step explanation:

1.

2 adult tickets cost 2 × $12 = $24

Subtract $24 from $64:

$64 - $24 = $40

Divide $40 by $8:

$40 ÷ $8 = 5

Answer: 5 child tickets

2.

x = number of adult tickets

y = number of child tickets

The total number of tickets is 5, so the first equation is:

x + y = 5

The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:

12x + 8y = 52

The system of equation is:

x + y = 5

12x + 8y = 52

Let's solve it by substitution.

Solve the first equation for x.

x = 5 - y

Now we substitute x in the second equation by 5 - y.

12(5 - y) + 8y = 52

Distribute:

60 - 12y + 8y = 52

Combine like terms on the left side:

-4y + 60 = 52

Subtract 60 from both sides:

-4y = -8

Divide both sides by 4.

y = 2

Substitute y = 2 in the first original equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

Answer: 3 adult tickets; 2 child tickets

3.

The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.

We can also show his claim is false using a system of equations.

x + y = 7

12x + 8y = 71

Use substitution.

x = 7 - y

12(7 - y) + 8y = 71

84 - 12y + 8y = 71

84 - 4y = 71

-4y = -13

y = 3.25

This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.

4 0
2 years ago
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