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
kirill [66]
3 years ago
8

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y

our answer to four decimal places.)
μ = 29;
σ = 3.4
P(x ≥ 30) = ______.
Mathematics
1 answer:
Anarel [89]3 years ago
4 0

Answer:

P(x ≥ 30) = 0.3859

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 29, \sigma = 3.4

This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So

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

Z = \frac{30 - 29}{3.4}

Z = 0.29

Z = 0.29 has a pvalue of 0.6141

1 - 0.6141 = 0.3859

So

P(x ≥ 30) = 0.3859

You might be interested in
the cost of parking of an hourly lot can be represented by the following equation y=3x+2. what does the 3 tell you about the cos
vitfil [10]
3 is How many hours they spent in the parking lot.
5 0
3 years ago
Read 2 more answers
Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter
Alex Ar [27]

Answer:

I would need more information to help you

Step-by-step explanation:

7 0
3 years ago
A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost
Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that x + y = 51

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

14x + 23y = 921

How many of each kind of shirt were sold?

We have to solve the system of equations.

x + y = 51

x = 51 - y

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

14x + 23y = 921

14(51 - y) + 23y = 921

714 - 14y + 23y = 921

9y = 207

y = \frac{207}{9}

y = 23

--------

x = 51 - y = 51 - 23 = 28

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

7 0
3 years ago
There is a 72% chance that you will get an exam next week. What is the probability that you will NOT get an exam next week?
Yuliya22 [10]
100 minus 72 equals to 28. 28% of NOT getting an exam next week
5 0
2 years ago
What is the length of EF in the right triangle below?
Darina [25.2K]
The length would be 36
4 0
3 years ago
Other questions:
  • Points A(-l, y) and B(5,7) lie on a circle with centre 0(2, -3y). Find the values of y. Hence, find the radius of the circle
    7·1 answer
  • What is the best answer for choose ing pounds or pint
    15·1 answer
  • Simplify 14 to the 15th power over 14 to the 5th power. 13 110 143 1410
    5·2 answers
  • Need help will mark brainiest thank you
    13·1 answer
  • I need help with both of these
    6·1 answer
  • 0.051 in scientific notation
    11·2 answers
  • The last answer choice is (–3, 5) and (5, –3) pls help guys !
    9·1 answer
  • What is the first step of solving this equation<br>3(x+2)^2-1=47​
    13·2 answers
  • 8) What are the measures of angles x, y, and z?
    10·2 answers
  • Using the data in the file named chapter 12 data set 2, test the research hypothesis at the .05 level of significance that boys
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!