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
nikitadnepr [17]
3 years ago
11

Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.1

units/mL. Suppose also that exactly 95% of healthy individuals have TSH levels below 5.8 units/mL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

std deviation = 1.641

Step-by-step explanation:

Given that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.1 units/mL.

If X represents the TSH then X is N(3.1, sigma)

We do not know sigma value, but we are given that exactly 95% of healthy individuals have TSH levels below 5.8 units/mL.

We know as per standard normal distribution score that 95th percentile referes to Z score of 1.645

Using this we can find standard dev

5.8 = 3.1+1.645*standard dev\\Standard dev = \frac{5.8-3.1}{1.645} \\=1.641

You might be interested in
How to do question 10 a?
Softa [21]

Answer:

23 hgrghhgfggggggghhhhh

5 0
3 years ago
Read 2 more answers
Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15
tatuchka [14]

Answer:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

  • a column for the values of x in each equation
  • a column for the values of y in each equation
  • a column for the independent values of each equation

since our system of equations is:

3x-5y=12\\ 4x-2y=15

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]

usually there is a line separating the columns for the values of x and y, and the independent values:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

this is the matrix of the system of equations

6 0
3 years ago
SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Mice21 [21]

Answer:

6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.

Step-by-step explanation:

15 substituted in for f and x is the the number of summers.

4 0
2 years ago
Which of the following number sentences is an example of the identity property? Select all that apply.
ArbitrLikvidat [17]

I think one is 8.7 + 0 = 8.7

7 0
3 years ago
what fraction is equivalent to -3/2? i’m going to keep writing because it has to be 20 words. Anyways thank you if you answer th
Alinara [238K]
A fraction that is equivalent to -3/2 would be -9/6

A great form to prove this is by using a calculator and dividing -9 by 6 this should get you the answer of 1.5!

Hope this helps!
7 0
3 years ago
Other questions:
  • Katy wants to reduce 180/315, but shes wants to do it in one step. Which of the following is the greatest common factor that she
    8·2 answers
  • POINTS POINTS POINTS POINTS POINTS! harder question!<br><br> 45(34- 2)
    8·2 answers
  • Write the following in exponential form 10,000x10
    11·1 answer
  • What is the exponential expression for the numerical expression 14 x 14 x 14 x 14 ?
    12·1 answer
  • Comparing and Extending Ratios
    12·1 answer
  • How much simple interest does 2560 earn in 17 months at a rate of 1 1/8
    6·1 answer
  • Rick buys a remote control car for $25.00 what is his selling price. Markup 19%
    7·1 answer
  • How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
    13·2 answers
  • 13. Diberi v = u + at, cari nilai t apabila v = v = 42 u=-8 dana - 5. <br>A.10<br>B.8<br>C.6<br>D.4​
    15·1 answer
  • Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!