The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.

Required:
a. What percent of men have a bladder volume smaller than 450 ml?
b. Between what volumes do the middle 95% of men’s bladders fall?
c. What proportion of male bladders are between 500 and 600 ml?
d. What volumes do the middle 90% of men’s bladder fall?

Answer:

a) 15.866%

b) Middle 95% = 350 ml to 750 ml

c) 0.3829

d) Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.

Required:

a. What percent of men have a bladder volume smaller than 450 ml?

z = 450 - 550/100

= -1

P-value from Z-Table:

P(x<450) = 0.15866

Convert to percentage

0.15866 × 100

= 15.866%

b. Between what volumes do the middle 95% of men’s bladders fall?

Middle 95% falls between 2 standard deviation of the mean

μ ± 2σ

μ - 2σ

550 - 2(100)

= 550 - 200

= 350 ml

μ + 2σ

= 550 + 2(100)

= 550 + 200

= 750 ml

Middle 95% = 350 ml to 750 ml

c. What proportion of male bladders are between 500 and 600 ml?

For 500ml

z = 500 - 550/100

= -0.5

Probability value from Z-Table:

P(x = 500) = 0.30854

For 600ml

z = 600 - 550/100

= 0.5

Probabilty value from Z-Table:

P(x = 600) = 0.69146

Proportion of male bladders are between 500 and 600 ml

P(x = 600) - P(x = 500)

0.69146 - 0.30854

= 0.38292

≈ 0.3829

d. What volumes do the middle 90% of men’s bladder fall?

The z score for middle 90% + / – 1.645

Hence,

1.645 = x - 550/100

1.645 × 100 = x - 550

164.5 + 550 = x

x = 714.5 ml

-1.645 = x - 550/100

-1.645 × 100 = x - 550

- 164.5 + 550 = x

x = 385.5ml

Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

Five more than Bob’s age is 23. How old is Bob? equation

Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x

during his vacation, dalyn rents a small boat from a rental service that charges a flat fee of $40 plus $10 per hour (including taxes). The total charge comes to $100. Which equation can be used to calculate the number of hours, x, that Dalyn rents the boat?

Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5

At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3

can i get help plzzzzz

and explain how you got the answer

Answer this please and thank you

What isthmus solution to the equation 2x+2=10

Which of the following expressions is equal to -3x2 - 12?

what is the slope of (-3,4) (-2,0)

what is the product 7/11 and 3/7?​

What is 27 5/6 - 2/7?

Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.


PART A:The number of hours that makes the equation true is

Options: 24, 27, 29,31,34


PART B:Round your answer to the nearest whole number. The manager's prediction is

Options: equal to, less than, greater than


the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

Can you help me please

Mike wanted to purchase a couch for $350.00 and realized the couch was on sale for 25% off. How much would Mike pay for the couch, before taxes, once the discount was applied?
$87.50

$262.50

$349.75

$437.50

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Which relation is a function?
(8,-4), (8,2), (3, -3), (3, 1), (-1,-1)
(2.0), (4,0), (2, 1), (4, 1), (2, 3)
(2, 1), (4,2), (6,4), (7,5), (8, 6)
(3, 8), (7, 6), (5,5), (4,4), (3, 2)

Show your work:
−15x = 0

I needs help how do i shave my ba. lls​

This is my last question.

You accept a job salary of $36,700. After 6 months you receive a 4% raise. What’s your new salary?

Given m||n, find the value of x.
t
>m
(x+14)
(9x-8)"

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?

Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>

What is the Esquire root of 3?​

Express 13/4 as a mixed number

Which statement best describes the relationship between the graphs of the two linear equations below?
3
y=-2 +4
2
3x - 2y = -8
The lines are
parallel
5
The lines intersect
and are
perpendicular
The lines intersect
and are not
perpendicular
The lines are the
same

The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the

coordinates of B?

5,049 +48=105
MD Model with Mathematics A comic store sells two rare
comic books for $1,824. The price of one comic book is
11 times as much as the price of the other.
• 'Write an equation to model the price of the less expensive
comic book. Then find the price.
• Write an equation to model the price of the more expensive
comic book. Then find the price.