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

Help please and show the steps

Answers

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,​

Answers

Next term = -243
Because it is x3 every time

Pls help 10 ptsssssssssssss
NO LINKS

Answers

Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.

plz, help. I need it...

Answers

Answer: (6, 3)

Step-by-step explanation:

Need HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The similarity statement tells you ...

  TR/TP = XZ/XP

  TR = x = TP(XZ/XP) = 12(18/36)

  x = 6

ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5

Answers

Answer:

L=(24*12) + 6

Step-by-step explanation:

24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6

one of your friends is heading north for a holiday and the oter friend is heading south. if their destinies are 1029 miles apart and one car is traveling at 45 miles per hour and the other at 58 mile sper hour how many hours before the 2 cars pass eacother

Answers

Answer: 1029 + 45 + 58 + 2 = 1134

Step-by-step explanation: If you read the problem it has a key word how many so all you have to do is add.

Find the exAct length of a line segment whose endpoints are (4,-5) and (6,-2).

Answers

Answer:

Square root of 13

Step-by-step explanation:

distance between two points = under root (x2-x1)^2 + (y2-y1)^2

here, (x1,y1)=(4,-5) & (x2,y2)=(6,-2)

Substitute values and finally you can get it..

Pls Help!
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

she can buy 13

please brainliest or hear

Answer:

She can order 7 DVDS

Step-by-step explanation:

8.49 x 7 = 59.43

59.43 + 5 = 64.43.

Find the value of x in the triangle shown below 6 2

Answers

The value of x is 6.324555320336759 or 6. 3 if your rounding.

You borrow $600 to buy a canoe. The simple annual interest rate is 5%. You pay off the loan after 4 years of equal monthly payments. How much is each payment?

Answers

Answer:

Amount of each payment = $15 each month

Step-by-step explanation:

Given:

Amount borrow = $600

Simple rate = 5% = 0.05

Number of year = 4 year

Payment method = monthly payment

Find:

Amount of each payment

Computation:

Total amount after 4 year = P + PRT

Total amount after 4 year = 600 + (600)(4)(0.05)

Total amount after 4 year = 600 + 120

Total amount after 4 year = $720

Number of total month = 4 x 12

Number of total month = 48

Amount of each payment = Total amount after 4 year / Number of total month

Amount of each payment = $720 / 48

Amount of each payment = $15 each month

An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)

Answers

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

Which type of graph(s) should be used for the following data? Choose all that apply. (Check photo)

Answers

Answer:

Histogram is the correct answer

MARK AS BRAINLIEST PLEASE.

The type of graph used is Bar graph.

What is Bar graph?

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

As, per the given data,

the best way to represent the data is Bar graph.

The data is a primary data and for such type of data Bar graph is used,

Learn more about Bar graph here:

https://brainly.com/question/8644324

#SPJ2

Answer and explain deeply thank you so much! I’ll mark brainliest

Answers


Let me know if this doesn’t make sense

The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results? What is the estimate of the mean proportion of failures for these instructors?

INSTRUCTOR NUMBER OF FAILURES
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16

Answers

Answer:

D. 16

Step-by-step explanation:

A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:

MACHINE MEASUREMENTS

#1 17 15 15 17

#2 16 25 18 25

#3 23 24 23 22

math question plzz help i’ll give you brainliest

Answers

Answer:

C: 3^0 = 1

Step-by-step explanation:

When dividing two exponents with the same bases, you subtract them

2-2 = 0

so: 3^0 which equals 1

For this specific question there's an even easier way

dividing a number by itself is always gives 1 so it has to be C

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest meter, how many meters are in 318 inches? Enter the answer in the box.​

Answers

Answer: 8.0772 m

Explanation:

Can someone help me pls

Answers

72 would be the answer

ixllllllllllllllllllll

Answers

Answer:

the answer is 7 feet

Step-by-step explanation:

28/4=7

A bookstore had 81 copies of a magazine, Yesterday the bookstore sold 7/9 of these copies. How many copies were sold yesterday?​

Answers

Answer: 63 copies were sold yesterday.

Step-by-step explanation: To find how many copies were sold yesterday, simply multiply 81 by 7 which is 567. Then, divide 567 by 9 which is 63.

I believe 63 copies were sold (like the person above said)

How I would have done it is found out what 1/9 was, by dividing 81 by 9 which is 9, then multiply 9 and 7 to get the amount of books sold which is 63

Please correct me if I am wrong, have a good day!

Fill in values for the table using the function

Answers

Answer/Step-by-step explanation:

Given:

f(x) = -3x + 4

✔️First row, find x when f(x) = 4:

Substitute f(x) = 4 into the equation

4 = -3x + 4

4 - 4 = -3x

0 = -3x

Divide both sides by -3

0/-3 = x

x = 0

✔️ Second row, find f(x) when x = -1:

Substitute x = -1 into the equation

f(-1) = -3(-1) + 4

f(-1) = 3 + 4

f(-1) = 7

✔️ Third row, find f(x) when x = 1:

Substitute x = 1 into the equation

f(1) = -3(1) + 4

f(1) = -3 + 4

f(1) = 1

✔️ Fourth row, find x when f(x) = 9:

Substitute f(x) = 9 into the equation

9 = -3x + 4

9 - 4 = -3x

5 = -3x

Divide both sides by -3

5/-3 = x

x = -⁵/3

Solve using the substitution method:

6x + y =15
4x + 3y = 31

Answers

Answer:

the answers to this are x= 1 and y= 9

Helpppppppp math pls I need help asap

Answers

I believe that the answer is 100000

Pls help 10 ptsssssssssssss
NO LINKS

Answers

Answer:

it is actually a very simple question first you add 4+9=13 then you multiply 5 times 13 which gets you the answer of 65

can you do this math test for me i need it done by 4:00​

Answers

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12

, x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,

x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√

5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√

5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

If 55% of a number is 209 and 35% of the same number is 133, find 90% of that number.

Answers

Answer:

205 is 55% of 372 and is 335 90% of 372

Step-by-step explanation:

A 33 gram sample of a substance that's
used for drug research has a k-value of
0.1124.

Find the substances half life and the round your answer to the nearest 10th

Answers

9514 1404 393

Answer:

  6.2

Step-by-step explanation:

We presume your "k-value" is the k in the exponential decay term ...

  e^(-kt) . . . where t is the number of time units

This is 1/2 when ...

  ln(1/2) = -kt

  t = ln(1/2)/(-k) = ln(2)/k

  t = 0.69315/0.1124 ≈ 6.2

The half life is about 6.2 time units.

Anyone know how to answer this question

Answers

9514 1404 393

Answer:

  (x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

  ((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

  (x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

  (x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

  (x +6)^2 +(y -10)^2 = 225

The trapezoid below is formed from two triangles and a rectangle. What is the area of the trapezoid?
9 cm
3 cm
6 cm
3 cm
A 81 cm 2
B 108 cm 2
C 67.5 cm 2
D 54 cm 2

Answers

Answer:

A. 81 cm^2

Step-by-step explanation:

9*6 = 54

9*3 = 27

54+27 = 81

Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons. If the pattern continues, the next group of dots would have 61 dots. Which of
the following statements best describes the sequence that represents the number
of dots in each group?
A The sequence is arithmetic, because the first differences are constant.
B) The sequence is arithmetic, because the second differences are constant.
c) The sequence is quadratic, because the first differences are constant.
The sequence is quadratic, because the second differences are constant.

Answers

Answer:

a

hddhdhdhhdgdhdgdhf

yyeyeyehrggggdgfhfhhfbfbdbfbdfbbfhhbfbdvwshhdgnhh

The sequence is arithmetic because the second differences are constant. Then the correct option is B.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons.

If the pattern continues, the next group of dots would have 61 dots.

The first difference will be

The difference between 7 and 1 is 6.

The difference between 19 and 7 is 12.

The difference between 37 and 19 is 18.

The difference between 61 and 37 is 24.

The second difference will be

The difference between 12 and 6 is 6.

The difference between 18 and 12 is 6.

The difference between 24 and 18 is 6.

Thus, the sequence is arithmetic, because the second differences are constant. Then the correct option is B.

More about the sequence link is given below.

https://brainly.com/question/21961097

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