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
AURORKA [14]
3 years ago
13

the triglyceride levels of residents of an assisted living facility are recordered the levels are normally distributed with a me

an of 200 and a standard deviation of 50. if a resident is randomly selected, find the probability of a level that is between 200 and 275
Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0

Answer:

Step-by-step explanation:

P(200<X<275)

P(200-200/50 <X< 275-200/50)

P(0/50 <X< 75/50)

P(0<X<1.5)

P(X<1.5) -P(X>0)

0.9332-0.5 = 0.4332

Tasya [4]3 years ago
4 0

Answer:

The probability is 0.4332.

Explanation:

Mean = μ = 200

Standard deviation = σ = 50

We are required to find the probability that a randomly selected resident has a triglyceride level between 200 and 275. That is,

P (200 < X < 275) = ?

We are further informed that the triglyceride levels are normally distributed. We, therefore, convert it into standard normal distribution (Z-distribution), and compute it as follows.

P (200 < X < 275)

= P [(200 - 200)/50 < (X - μ)/σ < (275 - 200)/50]

= P (0 < Z < 1.5)

= P(Z < 1.5) - P(Z < 0)

= 0.9332 - 0.5

= 0.4332

Therefore, the probability that a randomly selected resident has a triglyceride level between 200 and 275 is 0.4332.

You might be interested in
What is 3x^2-2n-5=0<br> please help me!!!
expeople1 [14]
The answer to your question is: 
It is a quadratic equation in 'x', with 'n' mistakenly typed in the second term..

Although you didn't ask for the solutions to the equation, I'm already here
so I might as well go through it and find them:

<span><u>3x² - 2x - 5 = 0</u></span>

In terms of the generic quadratic formula:
A = 3
B = -2
C = -5

Plug those into the quadratic formula, and you discover that

<u>x = -1</u>
and
<u>x = ⁵/₃</u>
7 0
3 years ago
Read 2 more answers
Please help me Find X
solmaris [256]

The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

4x + 6 = 90

4x = 84

x = 21

7 0
1 year ago
Triangle TRE has vertices T(3,6), R(-3,10), and E(-9,4). Find the coordinates of point M if line TM is a median of triangle TRE
Sergeeva-Olga [200]

Answer:

The coordinate of point M = (-6,7)

Explanation:

The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.

Given: \triangle TRE has vertices T(3,6) , R(-3,10) and E(-9,4).

Here, line TM is a median of triangle TRE where M is the midpoint of RE.

The midpoint of  M of the line segment from R(-3,10)  to E(-9,4) is;

M = (\frac{-3+(-9)}{2}, \frac{10+4}{2}) = ( \frac{-12}{2}, \frac{14}{2} )=(-6,7)

Therefore, the coordinate of point M is, (-6,7).

7 0
2 years ago
What's the mean of 3 4 5 3 4 5 6 7 1 2 3 4 5 6 4 8 4 3 2 <br> A. 4.1<br> B.4.2<br> C.8.0<br> D.8.3
Bess [88]

Answer:

A. 4.1

Step-by-step explanation:

3+4+ 5+ 3+ 4+ 5+ 6+ 7+ 1+ 2+ 3+ 4+ 5+ 6+ 4+ 8+ 4+ 3+ 2= 79

79/ 19 = 4.1

3 0
3 years ago
Atb xan
murzikaleks [220]

Answer:

um i can't really understand what your trying to do here

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • 3x6/8 pls answerrrrr
    5·2 answers
  • A family eats at a restaurant that is having a 15% discount promotion. THeir meal cost $78.65, and they leave a 20% tip. If the
    5·1 answer
  • How to find the radius of a cylinder given only the height?
    13·1 answer
  • Find the sum of 5x^3-3x^2+5 and -2x^3+6x^2-5
    12·1 answer
  • The first jump in a unicycle high-jump contest is shown. The bar is raised 2 centimeters after each jump. Solve the inequality 2
    13·1 answer
  • The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formu
    10·1 answer
  • F(x) = x4 – 15x2 + 10x + 24.
    8·1 answer
  • 16. The measure of angle QRT is 154 degrees, and ray RS bisects angle QRT. What are the measures of angle QRS and angle SRT?​
    11·1 answer
  • At the craft store, Martina bought a bag of yellow and orange marbles. She received 15 marbles in all. 6 of the marbles were yel
    12·1 answer
  • xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!