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
Alisiya [41]
3 years ago
7

Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o

f 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals
Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that \mu = 490, \sigma = \sqrt{400} = 20

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

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

Z = \frac{500 - 490}{20}

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

You might be interested in
In a survey of 400 people randomly selected it was determined that 22 play soccer. What is the probability that a randomly selec
galben [10]
The answer to this problem is 0.055%
And you get that by doing 22/400
7 0
3 years ago
12ax^{2} -15ab-16a+20b[/tex]
irina1246 [14]

Answer:

12 a x^ 2 -15 a b-16 a

5 0
3 years ago
PLEASSSEEE HELPPP ASAPPPPP
Ipatiy [6.2K]

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Identify each function that has a remainder of -3 when divided x+6
Sergeu [11.5K]

Answer:

D

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>

<em />

<em>For A:</em>

x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494

For B:

x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6

For C:

x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583

For D:

x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0
3 years ago
Help fast please!!! <br><br> 6x + 4 = 2x - 12
mario62 [17]
6x+4=-12-4
4x=-16
X=-4
3 0
3 years ago
Other questions:
  • What is 5x5x5x5 plz tell me
    5·2 answers
  • Convert 5,283 meters to kilometers
    6·2 answers
  • A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Loo
    8·2 answers
  • Solve the equation.<br> x + 7 = 6x - 3
    5·2 answers
  • What is the value of x when x + 7 = 21? HElp if do so you get 20 ponits
    12·2 answers
  • Triangle JKL ~ Triangle PQR What is the value of x? Round your answer to the nearest two decimal places.
    8·2 answers
  • The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimet
    9·1 answer
  • How many solutions does the following system of equations have?
    9·1 answer
  • two angles are vertical. one angles measures 10x - 6, and the other angles measured 8x + 12. find the measure of each angle .
    9·1 answer
  • The furniture shop has an equal number of chairs and tables. After selling half of the numbers of tables and some chairs, they a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!