A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean and standard deviation of What is the probability that, for an adult after a 12-hour fast, x is less than 104

Answers

Answer 1

Answer:

The pvalue of Z when X = 104.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability that, for an adult after a 12-hour fast, x is less than 104?

This is the pvalue of Z when X = 104.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{104 - \mu}{\sigma}[/tex]

[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.


Related Questions

The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.

Answers

Answer:

8mph

Step-by-step explanation:

I just answered the question

Brainliest for correct answer

Answers

Answer:

V =1884 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi ( 10) ^2 * 6

V = pi ( 600) in^3

Using 3.14  for pi

V = 3.14 * 600 in ^3

V =1884 in ^3

IF YOU ANSWER ALL THESE QUESTIONS I WIL LGIVE YOU BRAINIEST AMD 40 POINTS COME UP WITH PROBLEMS THANKS

Answers

Answer:

WHY YOU ARE ALWAYS SAY THAT CAN YOU WHOLE QUESTION..

Week 5 Test Taking skills, Page 2
Name
3
Rodrigo bought a sheet of shark stickers. He used 8 of the 32 stickers to decorate his science project about
sharks.
Shark Stickers
DO
How many shark stickers did Rodrigo use on his science project?
A
24
B
18
с
20
D
30

It’s number 3

Answers

Answer:

20

Step-by-step explanation:

5/8 of 32

5/8×32=20

remember of means multiply

HOPE THIS HELP YOU HAVE A NICE DAY OR NIGHT

What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?

Answers

Answer:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

A x 2 = your answer

blank plus 1/2 equals to 2/3

Answers

Answer:

1/6 + 1/2 = 2/3

Step-by-step explanation:

Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes

Answers

Answer:

(0,4)

Step-by-step explanation:

The given equations are :

3y = 6x + 12  

2x - y = -4

If (-3,2) be the solution of the above equations,

3(2) = 6(-3) + 12

6 = -18+12

6≠ -6  

2x - y = -4

2(2) -(-3) =-4

4+7 = -4

11 ≠ -4

No, (-3,2) is not the solution.

Similarly, put (0,4) in the abve equations,

3(4) = 6(0) + 12

12 = 12

and

2(0) - 4 = -4

-4 = -4

Hence, (0,4) is a solution of the given equations.

Help,,,,,,,,,,,,,,,........

Answers

B= 0.5
Because it’s right after A which is 0

Suppose y varies directly with x and inversely with z. If y = 14 when x = 7 and z = 3, what is x when y = 3 and z = 8? Use the step-by-step process you learned to solve this problem.

Step 1: Set up the correct type of variation equation.
y =
✔ kx/z
Step 2: Determine the constant of variation.
k =

Answers

Answer:

The constant of variation k is 6 and the value of x is 4.

Step-by-step explanation:

What is constant of variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

What is direct variation?

A direct variation is a proportionality relationship in which two quantities follow a direct relationship.

What is inverse variation?

Inverse variation states when one variable increases then the other variable decreases.

Given,

y=14 when x=7 and z=3

The variation equation is,

y=kx/z

Inputting the values,

14=(k*7)/3

14*3=7*k

42=7k

k=6

When y=3, z=8 we will find x.

y=kx/z

3=6*x/8

3*8=6*x

x=24/6

x=4

Hence, the value is 4.

To know more about constant of variation, direct variation, inverse variation here

https://brainly.com/question/11733777

#SPJ2

What is (14x^2– 27x+9) / (7x-3)?

A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33

Answers

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]

[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

A marketing research company desires to know the mean consumption of milk per week among people over age 45. They believe that the milk consumption has a mean of 4.2 liters, and want to construct a 98% confidence interval with a maximum error of 0.08 liters. Assuming a standard deviation of 0.6 liters, what is the minimum number of people over age 45 they must include in their sample

Answers

Answer:

The minimum number of people over age 45 they must include in their sample is 305.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 0.6 liters

This means that [tex]\sigma = 0.6[/tex]

What is the minimum number of people over age 45 they must include in their sample?

This is n for which M = 0.08. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]

[tex]0.08\sqrt{n} = 2.327*0.6[/tex]

[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]

[tex]n = 304.6[/tex]

Rounding up:

The minimum number of people over age 45 they must include in their sample is 305.

This graph represents the height a baseball travels in t seconds.

How long is the height of the ball increasing?

0.5 seconds
1 second
2.4 seconds
30 seconds

Answers

We need to see the graph to answer this next time out a picture added
Is their a graph? To answer the question

Round 329,167 to the nearest hundred

Answers

Answer:

329,200

Step-by-step explanation:

Answer:

329,200

Step-by-step explanation:

Whisper is exercised twice a day.
The first time is for 30 minutes.
The second time is for 11 hours.
i. Write down the fraction of a day that Whisper is exercised.
Write your answer in its simplest form.
ii.
Write down the fraction of a day that she is not being exercised.

Answers

Answer:

I:23/48

ii 25/48

Step-by-step explanation:

30min=0.5hr

total time exercised: 11+0.5=11.5hr

Divided by total hours of a day:

11.5/24=115/240=23/48

ii:(48-23)/48

i. 11.5/24hrs
ii.12.5/24hrs
STEP BY STEP EXPLANATION
1st time = 30 minutes
=0.5hr
2nd time=11hrs
Altogether =11.5hrs
1 day =24hrs
Fraction =11.5/24hrs

ii. Hrs not exercised = hrs in a day - hrs exercised
= 24hrs - 11.5hrs
= 12.5hrs
Fraction of day not exercised = hrs not exercised/hrs of the day
= 12.5/24hrs

The mixed number 2 5/6 is equivalent to a fraction with a
denominator of 6.

What is the missing numerator in the equivalent
fraction?

Answers

Answer:

6 x 2 = 12 then add 5, answer is 17

help me please I will mark 5 stars please it is urgent

Answers

Answer:

a) 3sec

b) highest point of 50

c) at 0 by 8 sec

A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?

Answers

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

[tex]0.2^4 = 0.0016[/tex]

The probability that one SPECIFIC component works and the others failed is:

[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

[tex]4 \cdot 0.0064 = 0.0256[/tex]

So we sum the probabilities:

[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]

2 1/5 + 6 4/5 pls help

Answers

Answer:

2 1/5 + 6 4/5

= 2/5 + 24/5

= 26/5

= 5.2

Answer:

[tex]8\frac{5}{10}[/tex]

Step-by-step explanation:

[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]

Let me know if this helps!

Select the correct answer.


The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?

A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset

Answers

Answer:

Is there an image? I cant figure it out without the image

Step-by-step explanation:

g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample

Answers

Answer:

NO, it does not.

Step-by-step explanation:

From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.  

This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.

Can anyone tell me what the answer please

Answers

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

Subtract 20 from both sides:

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

Subtract 3x from both sides:

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

500 people are asked if they drink coffee.
9
10 say Yes.
20% of the people who say Yes drink at least three cups each day.
(b)
What fraction of the 500 people drink at least three cups of coffee each
day?
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

2/10

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

B

Step-by-step explanation:

brainliest?

A $45 pair of shoes is on sale for 20% off. How much money is saved?

Answers

Answer:

$9

Step-by-step explanation:

What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?

Answers

Answer: 117

Step-by-step explanation:

first comment on first response!!! Thank you btwww!

https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do

Answers

Answer:

so fun and amazing!

Step-by-step explanation:

Find the area of the sector.

Answers

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

PLEASE HELP !!!!!
What is the value of the missing angle?

Answers

Answer:

B

Step-by-step explanation:

180 - 100 = 80

80 = 30 = 110

180 - 110 = 70

Answer:

B

Step-by-step explanation:

100-30=70° Remeber this is a right triangle

Please helpppp meeee

Answers

the answer to the question is A

Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours​

Answers

The answer is D, 6 hours
Other Questions
Which of the following statements are correct when referring to boot?a. Long-term capital gains may cause taxpayers to incur AMT as it increases AMTI which may lower the exemption amount, thus exposing more income to AMT.b. The tax rate on long-term capital gains is the same for taxpayers paying regular tax as it is for taxpayers subject to AMT. what was the education system like for african americans in the progressive era What God say about tattoos? blank are savings accounts that guarantee a depositor a set interest rate over a specified interval of time as long as the funds are not withdrawn prematurely. How do you treat swollen cheeks? How do you find the vertical asymptote and removable discontinuity? better products, inc., manufactures three products on two machines. in a typical week, 40 hours are available on each machine. the profit contribution and production time in hours per unit are as follows: two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. only one operator is required for machine 2. a maximum of 100 labor-hours is available for assignment to the machines during the coming week. other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced. how many units of each product should be produced to maximize the total profit contribution? product Elizabeth has a 1,200-word report to be finished in 3 weeks.During the first week, she wrote every day (Sunday to Saturday) and wrote a total of 525 words. For the second week, she plans to write every day according to the equation y = 55z where y isthe total number of words written after x days.Use the drop-down menus to correctly complete the statements below.Last week, Elizabeth wrote at a pace ofThis week, she plans to write at a pace ofShe will still need to write To complete report find the distance between the points R(a+b,a-b) and S(a-b,a+b) 4.a) Find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 32.b) The difference between two numbers is 24. Find the numbers if their sum is 88.5.a) Separate 60 into two parts so that 3 times the smaller added to 6 more than 6 times the smaller = 60.b) A train traveled 300 miles. How long did the trip take if the train was traveling at a rate of: Note * Use the d=rt formula (distance = rate * time). NOTE: You may not be able to solve for the variable. If you do not have enough information to solve for the variable then write the equation.1) 50 mph2) 70 mph3) x mph4) (x+10)mph5) (x-5)mph sketch, label and explain the following plate boundaries. include an example on earth of each (be sure to name both plates involved) on your concept sketch: divergent plate boundary (oceanic divergent or mid-ocean ridge) convergent plate boundary: continental-oceanic. you will also need to explain the other two types of convergent plate boundaries (continental-continental and oceanic-oceanic) but you do not need to draw them. transform plate boundary we have received notice that the originating post is preparing to dispatch this mail piece. How is telling a personal story powerful?Remember...put your answer in complete sentences What is meant by continuity of a function explain with an example? the brain area just anterior to the precentral gyrus that controls learned, repetitious, or patterned motor skills and coordinates simultaneous or sequential actions is the 1. Which method is most commonly use to identify patients:Patient's room numberPatient's diagnosisPatient's bed number-identifiers (name ad/or date of birth)2. You are assigned two patients with the same name of John Smith. What should your initial action be:Check the ID bracelet for ID number assigned upon admission.Identify information in patient's chartJust give any medications or treatments as prescribed and hope you have the right patientCall patient's name and check ID bracelet.3. What is a leading cause of death in elderly and children:Heart attacksFallsBurnsFlu4.You are assisting a patient with shaving with an electric shaver. Your first action should be:Inspect shaver and bladesTurn on shaverLather patient's face with shaving creamHand the patient a mirror in order for him to see what you are doingTo ensure the patient is safe before transferring to a stretcher. You should first:Raise side railsLock the wheelsMove the patient's head to the stretcher firstAsk the patient to roll on his side with rails down according to international financial reporting standards, the revaluation of equipment when fair value exceeds book value results in a(n) : Multiple Choicedecrease in net income.increase in net income.increase in other comprehensive income.decrease in other comprehensive income. What's the setting as the story begins? What is the state of bodily energy or physical and mental readiness? Classify each characteristic as describing glycoproteins or proteoglycans. Glycoproteins Proteoglycans Answer Bank exclusively located at the cell surface and in the extracellular matrix include the heparan sulfate family only has sulfated glycosaminoglycan chains covalently linked to Ser may contain N-linked glycosidic bonds found in Golgi complexes, secretory granules, and lysosomes form highly specific sites for recognition and high-affinity binding by lectins