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
Rudik [331]
3 years ago
13

Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a

standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

The z-score corresponding to 0.78 from the z-table is 0.7823

P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

You might be interested in
I am confused help??
PtichkaEL [24]

Answer:

48

Step-by-step explanation:

2 x 2 x 2 x 2 = 16

16 + ?

4 x 4 x 4 = 64

0.5 x 64 = 32

32 + 16 = 48

5 0
2 years ago
Read 2 more answers
Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Cal
Anna71 [15]
The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2
7 0
3 years ago
One ticket costs $15.45. Three tickets would cost?
Troyanec [42]
46.35 is the answer
8 0
2 years ago
PLEASE I NEED HELP! I want to understand this question.
jasenka [17]

Answer:

TP = 5. greater than

Step-by-step explanation:

1. Out of the 4 options, HH, HT, TH, TT, there is one option we want (HT) which is one our of the four options. that means that the theoretical probability is 1/4 = 25%. Since there were 20 flips, the theoretical probability is 25% of 20 which is 5.

2. For experimental probability, its what actually happenned. Out of the 20 flips, 6 were HT so comapared to the Theoretical probability, the experimental probability was higher.

7 0
2 years ago
Which property is shown by –8 • (4 + 3) = –8 • 4 + –8 • 3?
larisa86 [58]
<span> –8 • (4 + 3) = –8 • 4 + –8 • 3

answer

</span><span>• Distributive Property</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Make between 12 and 15 the no are 1 2 5 use +,×
    9·1 answer
  • How many times does 30 go into 42?
    14·1 answer
  • Element X decays radioactively with a half life of 10 minutes. If there are 510 grams
    8·1 answer
  • A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th
    12·1 answer
  • On Thursday the Meat King Market sold 1,212 pounds of ground beef. On
    9·1 answer
  • Which one ? please help! I’ll mark brainliest!
    15·2 answers
  • Asap please help i really need this question answered
    10·1 answer
  • a candy is packaged in a box the shape of a square pyramid. How many faces does the container have? how many edges and vertices
    6·1 answer
  • Solve for x, will give brainliest
    14·1 answer
  • Find a polynomial function of degree 3 with 2, i, -i as zeros.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!