1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariulka [41]
2 years ago
13

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 μ = 90 and standard deviation of σ = 21 What is the probability that, for an adult after a 12-hour fast, x is less than 53?
Mathematics
1 answer:
omeli [17]2 years ago
7 0

Answer:

3.92% probability that, for an adult after a 12-hour fast, x is less than 53

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 90, \sigma = 21

What is the probability that, for an adult after a 12-hour fast, x is less than 53?

This is the pvalue of Z when X = 53.

Z = \frac{X - \mu}{\sigma}

Z = \frac{53 - 90}{21}

Z = -1.76

Z = -1.76 has a pvalue of 0.0392

3.92% probability that, for an adult after a 12-hour fast, x is less than 53

You might be interested in
WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!
Otrada [13]
A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.

What about the pair (-1, 4)?  If you replace x with -1, you get y = -3(-1) = 3, not 4.  So (-1, 4) is NOT a solution.

For each answer choice, you have to check all three of the given pairs.

(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.

Can you finish it?
7 0
3 years ago
Please help me :)))))
svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

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

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

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

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

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

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
2 years ago
Read 2 more answers
If 3x - 2 = -x + 10, then x =
Kipish [7]

Answer:

3

Step-by-step explanation:

3x-2= -x+10

4x= 12

x=3

5 0
2 years ago
Read 2 more answers
If ΔGET≅ΔMAP, then what corresponding parts are congruent? segment TG and segment AM ∠T and ∠P segment MP and segment ET ∠E and
otez555 [7]

Answer:

2nd Option is correct that is ∠T and ∠P.

Step-by-step explanation:

We are given that ΔGET ≅ ΔMAP

We need to find Congruent part from the given options.

Since, we are given the figure of the congruent triangles with marking not any instruction with which vertex is congruent to which vertex.

So, The Given Name of the Congruent triangle.

We deduce that

G ↔ M

E ↔ A

T ↔ P

Using this we get following congruent parts,

GE ≅ MA , GT ≅ MP and ET ≅ AP

∠G ≅ ∠M ,  ∠E ≅ ∠A and ∠T ≅ ∠P.

Therefore, 2nd Option is correct that is ∠T and ∠P.

3 0
3 years ago
Read 2 more answers
The longer leg of a right triangle is 17 cm longer than the length of the shorter leg x. The hypotenuse is 25 cm.
kicyunya [14]
The answer is 15 cm long
5 0
3 years ago
Other questions:
  • Name four angles between 0 and 360 degrees with a reference angle of 20 degrees Show work
    11·2 answers
  • What expression are 5 times as large as 184 + 213.
    15·1 answer
  • How do you do monomial
    6·1 answer
  • I need help is it A B C or D
    5·1 answer
  • Help me plz I don't understand this
    15·2 answers
  • What arethe coordinates of the following point ​
    15·1 answer
  • What is the mean of the data set?<br> 17, 24, 26, 13<br> 4<br> 13<br> 20<br> 080
    7·2 answers
  • 4x + 2 = 2x - 20 what is x​
    9·2 answers
  • PLEASE HELP FAST!<br><br><br> what is the length of segment AB? <br> 10<br> 12<br> 13<br> 15
    15·2 answers
  • Please help me solve this! 2 1/3 x 1 1/2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!