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
Please help me I need someone smart
svp [43]
Photomath will give u the graph, max and min, vertex, and will tell u if negative or positive if u take a picture of the equation
6 0
2 years ago
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds
nataly862011 [7]

Answer:

The value of the second expression is 14, so the expressions are equivalent.

Step-by-step explanation:

x=5

6+2(5)-2=

6+10-2=

16-2=

14

The other expression also came out to be 14, so they are equivalent.

7 0
2 years ago
Read 2 more answers
What is the experimental probability for the lowest frequency?<br> 3/18<br> 4/18<br> 18/4<br> 18/3
elena55 [62]

Answer:

18/3

Step-by-step explanation:

Took the test

5 0
2 years ago
Help Please! Answer ASAP!
Lilit [14]

Answer: Its C SAS

Step-by-step explanation:i know because i dont know

4 0
3 years ago
Read 2 more answers
City electric provides electricity for 1/8 of the homes in the center city. city electric provides electricity for (blank) % of
AVprozaik [17]
The answer is ...

C. 12.5

(You divide 1 to 8)
7 0
3 years ago
Read 2 more answers
Other questions:
  • A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the cre
    5·1 answer
  • there is a 36 foot fence around a play ground. there are 4 equal sections. you painted 1/4 of one equal part. what fraction do y
    13·2 answers
  • Can someone help please? Easy math for others but I just can’t understand! Pic included!
    13·1 answer
  • 47/14 in decimal rounded to the nearest hundredth
    11·2 answers
  • Find the area if the figure
    11·2 answers
  • Did any get the answer for puzzle 3 in Pythagorean Theorem Digital Escape!
    10·1 answer
  • Solve the equation 4(h + 1.5) = -6.<br> h=
    12·1 answer
  • Which section of the function is constant? (4 points) A graph is shown. Segment A begins at the origin and continues upward. Seg
    15·2 answers
  • Find the rule. *
    6·1 answer
  • R^2-3r-54=0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!