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
Wittaler [7]
1 year ago
8

Data collected over a long period of time show that the length of time x to complete a particular college entrance test is norma

lly distributed with an average of 125 minutes and a standard deviation of 18 minutes. What is the probability that a student taking this test will finish in 100 minutes or less? round your answer to 4 decimal places. Remember to round all z values to 2 decimal places.
Mathematics
1 answer:
Finger [1]1 year ago
7 0

Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 100

μ = mean = 125

σ = standard deviation = 18

z-score = (100 – 125) / 18

z-score = (-25) / 18

z-score = -1.39

Find the probability that corresponds to the z-score in the z-table. (see attached images)

-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968

-0.09 : -0.1 = x - 0.0968 : -0.016

x - 0.0968 = -0.09(-0.016)/-0.1

x = -0.0144 + 0.0968

x = 0.0824

x = 0.0824

Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

Learn more about probability here: brainly.com/question/26822684

#SPJ4

You might be interested in
I need help with reason number 3
damaskus [11]

Answer:

they are corresponding angles

6 0
3 years ago
F(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`
geniusboy [140]

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

SEE ANSWER

give me brainilest

3 0
3 years ago
Read 2 more answers
Help I need to graduate
Nimfa-mama [501]
Run and nug is the answer
8 0
3 years ago
93.34 divided my what equals 18.69
Leni [432]

Answer:

4.99411449973

Step-by-step explanation:

Easy math! Just divide 93.34 by 18.69

8 0
3 years ago
Read 2 more answers
Find the probability of choosing a blue marble at random from a bag of 5 blue and 5 green marbles and then flipping a coin and g
RUDIKE [14]
I think the answer is b. 1/3 but I might be wrong
7 0
3 years ago
Other questions:
  • The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either
    11·2 answers
  • Frank and Francis are building houses in a computer game . Frank started with 630 bricks and is using his bricks at a rate of 15
    9·1 answer
  • What is the answer to this question
    15·1 answer
  • Let f(x) = 3x + 7 and g(x) = 2x - 11. Find (f + g)(x). Do not put any spaces between numbers, variables and symbols.
    6·1 answer
  • A coin is tossed 88 times. what is the probability of getting all tails? express your answer as a simplified fraction or a decim
    6·1 answer
  • Find the value of x.
    14·1 answer
  • Match each series with the equivalent series written in sigma notation.
    6·1 answer
  • Based on your understanding of sound waves,
    7·1 answer
  • <2 and <4 are corresponding angles
    11·1 answer
  • Anyone know the answer?​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!