X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining

X 6.4.7-TQuestion HelpAssume That Females Have Pulse Rates That Are Normally Distributed With A Mean

Answers

Answer 1

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904


Related Questions

Solve these linear systems using elimination <3
1. 4x-3y=8
5x-2y=11

2. -2x-5y=9
3x+11y=4

3. 7x-6y=-1
5x-4y=1

Answers

Answer:

1.x=3/4y + 2

Step-by-step explanation:

Add 3y to both sides then after youdidnt that divide both sides by 4 Thereyougo the answer.

i have school myself so i only did one.

The cost of bottles of vitamins varies
directly with the number of vitamin
tablets in a bottle. A bottle of 50 vitamin
tablets costs $12. What is the cost in
dollars of a bottle of 75 vitamin tablets?

Answers

Answer:

find cost of one vitamin tablet first

50/12 = 4.2

therefore $4.2 is the cost for one tablet

now to find the cost of 75 vitamin tablets we just need to multiply the cost of one tablet with 75.

75*4.2=315

therefore the cost of a bottle of 75 vitamin tablets is $315

PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!

Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.

Answers

9514 1404 393

Answer:

  x^2 +(y -61)^2 = 625/36

Step-by-step explanation:

The graph of the above equation is attached.

If the circumference of the wheel is 25π/3 feet, the diameter is ...

  d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet

The radius will be half that value, or 25/6 feet.

For a center point (h, k) and radius r, the equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.

This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...

  x^2 +(y -61)^2 = 625/36

If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ

Answers

The answer is 35.5 because

Answer:

35.5

Step-by-step explanation:

PLEASE HELP! 10 POINTS.

Answers

2x+30=-50

2x=-50-30

2x=-80

x=-80/2

x= - 40

Answer:

-40

Step-by-step explanation:

cuz 2 times -40=-80 and -80+30 equals -50

What is the height of a triangle whose base is 36 inches area is 234 Square inches

Answers

hb=13in
hope this helps!
have a good day!

Answer:

hb will = 3in/ three in

Determine the measure of side AC. Round to the nearest tenth.

Answers

Answer:

Solution given:

sin 52°=perpendicular/base

sin52°=AB/AC

AC=12/sin52°=15.23is your answer

A piece of fabric 4 meters long is cut into two pieces. One piece is 1.25 meters long. How much longer is the second piece of fabric?

Answers

Answer:

1.5 meters

Step-by-step explanation:

the fabric is 4 meters long

first piece is 1.25 meters long

second piece will be (4-1.25)=2.75 meters long

therefore the second piece is (2.75-1.25) meters longer

Answer:

1.5 meters

Step-by-step explanation:

4 meters - 1.25 meters=2.75m is the length of the second one.

But when they ask how much longer , I think they want you to compare the two pieces meaning to get the answer you have to take 2.75m-1.25m=1.5m thats how much longer the 2nd fabric is longer than the other one.

hope am right

Write (3i-2/3)-(6i-5) as a complex number in standard form.
A.(13/3-9i)
B.(13/3-3i)
C.(17/3-3i)
D.(13/3+9i)
E.13 - i

Answers

Answer:

(13/3+9i)

Step-by-step explanation:

Please help me I really need it

Answers

Answer:

Angle C

Step-by-step explanation:

By applying sine rule in the given triangle,

[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]

[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.

You must use a number line!

n + 5 > 13

PLZ HELP ILL PUT BRAINLIEST

Answers

Answer:

n= 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57

Step-by-step explanation:

just add those to 5 bammmmmmmmmmmmmmmmmmmm

Each square on the grid represents 1 square yard. What is the area of the octagon?

A.49 sq yd
B.41 sq yd
C.36 sq yd
D.39 sq yd​

Answers

Answer:

B. 41 sq yd

hope this answer helps you......

Find the mussing numbers
13315
+ ****
24 305​

Answers

you are missing 11553

can i have brain

Answer:

ok here is all you do  

24,305

 -13315

-------------

23,090

Step-by-step explanation:

Help me for free Brainliest

Answers

Answer:

C

Hope It Help

Step-by-step explanation:

Brainliest please

Answer:

C

Step-by-step explanation:

Domain = x-values

Range = y-values

One half of a number , n is at most 24

Answers

Answer:

So if N is 24, then the number is 12.

Step-by-step explanation:

24 / 2 = 12

Solve for y:5y+2-2y=8y-4-2y

Answers

Answer: y=2
3y+2=6y-4
6=3y
y=2

Answer:

2

Step-by-step explanation:

5y+2-2y=8y-4-2y

5y-2y=8y-2y-4-2

3y=6y-6

6y-3y=6

3y=6

y=6/3

y=2

if 15% of x is 12. what is x?

Answers

Answer:

Step-by-step explanation:

80

Answer: 80
Answer Explanation: 12 ÷ 15%
12 ÷ (15 ÷ 100)
(100 × 12) ÷ 15
1,200 ÷ 15
80

The graph of linear function f passes through the points (-8,-2) and (4,4). What is the x-intercept of f?

Answers

Answer:

2

Step-by-step explanation:

X= 2

just make a graph and you got the answer

.

The value of the x-intercept if f passes through the points (-8,-2) and (4,4), is -4 and the equation of the line is 2y -x = 4.

What is function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The graph of linear function f passes through the points (-8,-2) and (4,4),

Calculate the equation of the line as shown below,

y - 4 = [4-(-2) / 4 - (-8)](x - 4)

y - 4 = 6 / 12 (x - 4)

y - 4 = 1/2 (x - 4)

2y - 8 = x - 4

2y -x = 4

Calculate the x-intercept by putting y = 0,

0 × 2 - x = 4

x = -4

Thus, the value of x is -4.

To know more about function:

https://brainly.com/question/5975436

#SPJ2

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
638 430 240 3,932 4,477 670 3,059 13 3,144 3,844
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.

Answers

The sample was 10 numbers.

4 of the numbers are less than 301.

So 4 out of 10 would be defective.

4/10 = 0.4 x 100 = 40%

He would expect 40% to be defective.

Answer:

86 i think

Step-by-step explanation:

ms. lorenz needs to rent a car for 3 days. she can choose from two plans. plan a costs $60 per day. plan b costs $30 per day plus $.40 for each mile she drives. ms lorenz decides that plan b will cost her less than plan a. write and solve an inequality to represent the number of miles, m, that ms. lorenz expects to drive. PLEASE HELP!!!

Answers

Answer:

distance driven < 300 miles.

Step-by-step explanation:

Plan A

She needs the car for 3 days.

1 day costs 60 dollars

3 days cost 60*3 = 180 So this is the maximum amount that she can spend

Plan B

She still needs the car for 3 days

1 day costs 20 dollars of the car does not move

3 days costs 3*20 = 60 dollars.

60 + 0.4m < 180                Subtract 60

0.4m < 180 - 60

0.4m < 120                        Divide by 0.4

m < 120/ 0.4

m < 300  

Answer

so she should drive less than 300 miles.

Help me olesesssssss

Answers

9514 1404 393

Answer:

  =

Step-by-step explanation:

A half rest is 2 beats, a quarter rest is 1 beat, so the rests on the left total 3 beats.

The half note on the right is normally 2 beats, but the dot adds half-again that amount, so 1 more beat. The dotted half note on the right is 3 beats.

Both represent 3 beats, so their beat counts are "equal."

A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station. (Round your answer to the nearest whole number.) mi/h

Answers

Answer:

A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away

What is the answer help please if you give me a link I will report you

Answers

Answer:

7

Step-by-step explanation:

The median is always the middle number.

What is 0.68 is 1/10 of

Answers

Answer:

68/1000

Step-by-step explanation:

0.68=68/100.68/100×1/10=68/1000

0.68 is 1/10 of 6.8
I divided by 10 to find the answer

0.9=10^(-e)×0.001
find the value of e .​

Answers

Answer:

blah blah blah blah blah blah blah blah blah

Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of days, d, that Natalie can take classes and stay within her budget?
A 146 ≤ 9d + 10
B 146 ≥ 9d + 10
C 146 ≤ 10d + 9
D 146 ≥ 10d + 9

Answers

Answer:

The answer should be letter D (146 ≥ 10d + 9)

Step-by-step explanation:

4. What is the volume of the triangular prism

10 in
6 in
8 in

Answers

Answer:

V=480 in^3

Step-by-step explanation:

Use the formula

V=BxH

V=(60)(8)

V=480 in^3

help me please this gives 30 points

Answers

Answer:

12 pints

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Basically you need to use ratios using the gallons and pints

so for every 8 pints you get a gallon so the ratio would be 1:8 in the next number we have 1 and 1/2 we already found 1 gallon which is 8 then you need to find half of a gallon which is 8/2 or splitting the 8 in half which is 4. 8 pints (1 gallon) plus 4 pints (half a gallon) equals 12 pints. you can apply this rule for the next number we have 1 gallon which is 8 pints and we need to find 2 which would be 8 times 2 or 16 pints.

help. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?​

Answers

Answer:

d. what school do you go to?

Step-by-step explanation:

9.5/19=x/30 solve the proportion​

Answers

Answer:

Step-by-step explanation:

Multiply (9.5)(30)=19x

So 285 = 19x

So x= 15

Answer:

x = 15

Step-by-step explanation:

Other Questions
Suppose a blanket has a sock stuck to it due to static electricity. When you pull the sock off of the blanket, what happens to the potential energy between them? Robert and his friends went to have lunch at a restaurant. The service was great, so they decided to leave a 20% tip. Is the final amount cheaper or more expensive? Whoever answers correctly will get Brainliest! Have an amazing day!! :)))) 3.14*3.14*3.14*x*x*x*x Distributive Property step by step 3x(x-1) tHxs Whats the answer???? One of the offenses the British charged her with was cross-dressing. Why do you think she wore mens clothing? in what town did the mystery occur Select the correct answer.What is the final step for a policy to become a law in Florida?A. A policy is debated and formed.B. A policy is implemented and approved.C. A policy is evaluated and improved.D. A policy is identified and discussed. Help me with my math homework 1. A student mixes two liquids together and notices that a white solid has formedat the bottom of the container.What can the student conclude?1. A precipitate has formed.2. A physical change has occurred.3. A chemical reaction has occurred.4. A chemical change has occurred. A cylinder with the height of 6km has a volume of 384km3 what is the radius? solve the rational equation X+3/ 3x -2 - x-3/3x+2=176/9x^2-4 Which of the following passages from an essay about online shopping bestuses precise language and domain-specific vocabulary to support the topic?A. Pablo Frank at Global Enterprises is kind of a big deal, so if he'sgonna point out that certain trends are going to blow up, you'dbest listen.B. I was stoked to find out that I'm pretty much right in the middle interms of average hours per day spent Internet shopping. What wasI worried about?C. Internet users are well aware that Internet use is a phenomenonthat has become an interesting trend over time.D. Experts at the Institute for Global Business point out that thecurrent trends in Internet-based commerce will continue to solidifyin the years to come. Which of the following tables represent input and output values of a linear function? Select all that apply. Graph them on grid paper, if needed.Input Output1 3.52 5.53 7.54 9.5Input Output3 35 56 68 8Input Output0 11 22 53 10Input Output2 84 96 108 11 Guys pls help me!!!!! Oraciones ilgicasEdit the sentences so they make sense. Follow the model below.La muerte es el principio de la vida.El nacimiento es el principio de la vida.1. Mi abuela muri y ahora mi abuelo es separado.2. Una chica que celebra sus quince aos est en la etapa de la madurez.3. Ricardo y Marta se comprometieron porque quieren divorciarse. what does Gdp measure, and what are the four components of gdp? how would I word that it is being doubled in size?The question is how did D get to E. How did Lake Superior help the lumber and iron industries? (chapter 11 flour lumber and iron) was Lincoln opposed to slavery on moral grounds?