Forced vital capacity (FVC), a standard measure of pulmonary function, is the volume of air a person can expel in 6 second. The standardized FVC follows approximately a standard normal distribution. A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean. The probability that a child is within the normal range of long growth is ______________.

Answers

Answer 1

Answer: the probability that a child is within the normal range of long growth is 0.8664

Step-by-step explanation:

Given that;

A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean.

he probability that a child is within the normal range of long growth = ?

so we need to find

P( -1.5 < z < 1.5)  

which can also be represented as;

⇒2 × ( 0 < z < 1.5)

so we have

⇒ 2 × 0.4332

= 0.8664

Therefore the probability that a child is within the normal range of long growth is 0.8664


Related Questions

which is the correct answer?​

Answers

Answer:

i think B

Step-by-step explanation:

Find the area of the curve y= f(x) = x between x = 5 and x = 10

Answers

Answer:

the area of the curve y= f(x) = x between x = 5 and x = 10

[tex]A=\frac{75}{2}[/tex]

Step-by-step explanation:

Finding the area of the curve  y = f(x) = x between x = 5 and x = 10

Using the Area formula

[tex]A=\int _a^b\:f\left(x\right)dx[/tex]

As the area of curve lies between x = 5 and x = 10

so

a = 5, b = 10

so the integral expression becomes

[tex]A=\int _5^{10}xdx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5[/tex]

    [tex]=\left[\frac{x^2}{2}\right]^{10}_5[/tex]

     [tex]=\frac{1}{2}\left[10^2-5^2\right][/tex]

     [tex]=\frac{1}{2}\cdot \:75[/tex]

     [tex]=\frac{75}{2}[/tex]

Therefore, area of the curve y= f(x) = x between x = 5 and x = 10

[tex]A=\frac{75}{2}[/tex]

We know that 65% of all Americans prefer chocolate over vanilla ice cream. Suppose that 1000 people were randomly selected. What is the standard error of the sample proportion

Answers

its not 65% americans like all

The standard error of the sample proportion is 0.0002275

What is the standard error of the sample proportion?

The standard error of a proportion p in a sample of size n is given by:

[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]

Now it is given that,

Number of people selected is 1000.

So, sample size, n 1000

Americans prefer chocolate = 65%

Thus, proportion, p = 0.65

So, standard error of a proportion is given as,

[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]S= \sqrt{\frac{0.65(1-0.65)}{1000}}[/tex]

[tex]S= \sqrt{\frac{0.65(0.35)}{1000}}[/tex]

[tex]S= \sqrt{\frac{0.2275}{1000}}[/tex]

[tex]S= 0.0002275[/tex]

this is the required standard error of the sample proportion.

Thus, the standard error of the sample proportion is 0.0002275.

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ILL GIVE BRAINLEST ​

Answers

Answer:

its the first one brsinlest plz

Step-by-step explanation:

98.643 ÷ 0.04
Round your answer to the nearest hundredth.

Answers

Answer:

7466.07

Step-by-step explanation:

Find the number in the hundredth place and look one place to the right for the rounding digit . Round up if this number is greater than or equal to and round down if it is less than.

btw you should try out

Write a word expression for 7 + 4a.

Answers

Answer:

The answer is Seven plus Four A.

If 2x=46, find the value of 7-6x

Answers

Answer:

-131

Step-by-step explanation:

By dividing by 2, we find that x = 23

Plugging this into the equation we can find

7-6x=7-6(23)=-131

Answer:

-131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

2x = 46

Step 2: Solve for x

Divide 2 on both sides:                    x = 23

Step 3: Define

7 - 6x

Step 4: Evaluate

Substitute:                    7 - 6(23)Multiply:                        7 - 138Subtract:                       -131

PLEASE HELP DUE IN 5 min

Answers

Answer:

The answer is 21

Step-by-step explanation:

Male the shapes look similar by turning the smaller to be the same as the bigger one the compare side and then find x

Which expression is equivalent to 25?
2 + 2 + 2 + 2 + 2
5+5
0 2.2.2.2.2
5.5
DONE

Answers

Answer:

It's C because its 2 to the power of 5

Step-by-step explanation:

2x2x2x2x2

calculate the slope of the line​

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, 6)

Point (8, 4)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{4-6}{8-2}[/tex]Subtract:                      [tex]m=\frac{-2}{6}[/tex]Divide:                         [tex]m=\frac{-1}{3}[/tex]

Substance X is found in the bloodstream of humans. A random sample of 75 males had a mean content of 28 ppm of Substance X in their blood. A random sample of 50 females had a mean content of 33 ppm of Substance X in their blood. The population standard deviations for males and females are known to be 14.1 ppm and 9.5 ppm, respectively. Use the 88.12% degree of confidence. An appropriate set of null and alternative hypotheses to test whether males and females have the same amount of Substance X in their blood is:

Answers

Answer:

H0: u1 - u2 = 0

H1: u1 - u2 ≠ 0

Step-by-step explanation:

This question requires us to state the hypothesis to be used for this test to know if males and females have the same amount of substance X. I have gone further to also calculate the test statistics too.

Null hypothesis:

H0: u1 - u2 = 0

Alternative hypothesis:

H1: u1 - u2 ≠ 0

X1 = 28, sd1 = 14.1, n1 = 75

X2 = 33, sd2 = 9.5, n2 = 50

We have a 2 tailed test

Alpha = 1-0.8812

= 0.1188

Critical value = 1.56

If z<-1.56 or z>1.56

Reject null hypothesis

Test statistic

= (28-33)/14.1²/75 + 9.5²/50

= -2.37

Therefore we reject the H0 because -2.37 is less than -1.56

i need help with this one (T_T)​

Answers

I think it’s the 3 I’m not sure

which of the following expression eqaul to -4x^2-36

Answers

-4(x^2+9) is what I got.

Answer:

2hole square and six whole square (a+b) (a-b) finish...

Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.

Answers

Answer:

B

Step-by-step explanation:

Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.8. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?

0.48
0.54
0.72
0.80

Answers

Answer:

A) 0.48

Step-by-step explanation:

The probability that Mrs. Barnes does not check homework if the students take a pop quiz will be 0.77.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.

They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.

Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be =

P = 0.42 x 0.6 + 0.58 x 0.9

P = 0.252 + 0.522

P = 0.774 ≈ 0.77

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pls helppppppppppppppp​

Answers

Answer:

4 seems to be it

Step-by-step explanation:

i believe that the correct answer is four

Please help me on this question

Answers

Answer:

B

Step-by-step explanation:

A porch that is 24.5 feet long needs to be lengthened by 12.2 feet. How long is the new length of the porch?

Answers

36.7 feet (24.5+12.2). You just have to add the two numbers to determine the new length.

Which statement is true
A. The 6 in 0.6 is ten times the value of the 6 in 6.0 (wrong)
B. The 6 in 6.5 is 1/10 the value of the 6 in 65
C. The 6 in 625 is 100 times the value of the 6 in 625

Answers

Answer:

i think it A

Step-by-step explanation:

Chef Talbot is baking 6 blueberry pies. If he uses 3/4 of blueberries in each pie, how many pints of blueberries will he need??

Answers

Answer:

4 2/4 pints

Step-by-step explanation:

Well if you multiply 6 by 3/4 it equals 18/4 and if you turn that into a mixed number it will give you 4 2/4.

So in conclusion, Chef Talbot will use 4 and a half pints of blueberries.

a(7x + 3) = b + 14x?

Answers

Answer:

Step-by-step explanation:

So first add 7 +3 adn get 10, then add 14, and then you will get 24

24 is your answer.

Which of the following government agencies does not regulate banking or financial markets?
a.
The NCUA
b.
The Federal Reserve
c.
The FCC
d.
The OCC


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C.FCC

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Help me please on both of y’all can

Answers

Answer:  384 ft^2

Step-by-step explanation:

Like it said  set up a proportional equation and solve for dimensions in feets.

The scale factor saids   0.75 in = 2 ft  

And the dimensions are   6 in by 9 in  

Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .  

[tex]\frac{0.75}{6} = \frac{2}{x}[/tex]         Solve by cross multiplying

0.75x = 12  

x = 16  

[tex]\frac{0.75}{9} = \frac{2}{x}[/tex]         Cross multiply

0.75x = 18

x = 24          

Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .

16 * 24 = 384 ft^2

Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6

Answers

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6   (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7    (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."

Answers

Step-by-step explanation:

850 calls

1000:100=10

1%=10

10×85=850

Discount is the reduction in value. The total number of calls not answered this is 150 calls

Discount and percentages

Given the following

Total number of calls = 1000 calls

If 15% of those calls were not answered, the total calls that were not answered is given as:

Total call not answered . = 0.15 * 1000

Total call not answered = 150 calls

Hence the total number of calls not answered this is 150 calls

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A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes
will it take to fill this pool full?

Answers

Answer: 480 minutes or 8 hours

Step-by-step explanation:

24,000 ÷ 50 = 480.

It will take 480 minutes to fill the pool.

480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.

Hope this helps!

Answer:

480 Minutes or 8 Hours

Step-by-step explanation:

If you do 24,000 divided by 50 you get a result of 480

Which expression is equivalent to 6(2x + 4)?
A) 12 + 24
B) 12x + 4
C 12x + 24
D) 8x + 10

Answers

i think the answer is c

Please help due today!!!!

Answers

Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680

Step-by-step explanation:

Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.

4x + 16 factor out gcf

Answers

Answer:

4(x+4)

Step-by-step explanation:

To factor out the gcf we need to find the greatest common factor. Then we multiply it be the other divided part.

William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?

Answers

Answer:

he earned $29,135.04

Step-by-step explanation:

to get answer you multiply total sales by .03

The answer is $29,135.04

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