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
strojnjashka [21]
3 years ago
9

Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3

and a standard deviation of 8.9. What is the probability that a student scores between 82 and 90
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

14.63% probability that a student scores between 82 and 90

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 72.3, \sigma = 8.9

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

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

Z = \frac{90 - 73.9}{8.9}

Z = 1.81

Z = 1.81 has a pvalue of 0.9649

X = 82

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

Z = \frac{82 - 73.9}{8.9}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

0.9649 - 0.8186 = 0.1463

14.63% probability that a student scores between 82 and 90

You might be interested in
What is the distance between two points with coordinates (32,12,5) and (20,3,13) in space?​
lozanna [386]

The distance between two points with the given coordinates in space is;

<u><em>Distance = 17 units</em></u>

We are given the coordinates;

(32, 12, 5)

(20, 3, 13)

  • Formula for the distance between two points that have (x, y, z) coordinates is;

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

From the equation given to us, we can see that;

x₁ = 32

x₂ = 20

y₁ = 12

y₂ = 3

z₁ = 5

z₂ = 13

  • Using the <em>formula for the distance</em>, we have;

d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)

d = √(144 + 81 + 64)

d = √289

d = 17

Thus, the <em>distance</em> between the two points is 17 units

Read more at; brainly.com/question/20974053

3 0
2 years ago
Find the interest earned.
SCORPION-xisa [38]
June is 30 days
30-12=18 days
July is 31 days
August is 30 days
Time=18+31+30=79 days
A=2,750×(1+0.035÷365)^(79)
A=2,770.91
Interest earned
I=A-p
I=2770.91-2750
I==20.91
4 0
2 years ago
Need help with this
m_a_m_a [10]

Answer:

4.3

Step-by-step explanation:

The area of a circle is pi(radius 2) So, the radius is just half of the diameter. The radius of the baseball is 1.5 and 1.5 x 1.5 x 3.14(pi) is 7.065. Then for the softball, 3.8/2 is 1.9, and 1.9 x 1.9 x 3.14(pi) is 11.3354 then 11.3354-7.065 is 4.2704 and that rounded, is 4.3

Hope this helped!❤

3 0
2 years ago
Help me please I dont know what to do
gtnhenbr [62]

Answer:

It's <u>option A. ± </u>√6<u>0</u>

Step-by-step explanation:

x^2  = 60

here ^2 will move to the other side and when it does it'll become a square root to 60.

so, x = √60

now, the answer in its simplified form would be 2√15 and -2√15.

The answer of this square root will be negative as well as positive, so, ±√60.

3 0
2 years ago
Read 2 more answers
Select the two figures that are similar to each other
Masteriza [31]
The blue one and the small purple one are similar because they have the same angles.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Sherman goes golfing every 6th day and Brad goes golfing every 7th day. If Sherman and Brad both went golfing today, how many da
    13·2 answers
  • The amount of money Jerome saves after w weeks is represented by the function f(w)=15w+230
    14·2 answers
  • A nurse in a large university (N ? 30,000) is concerned about students' eye health. She takes a random sample of 75 students who
    13·1 answer
  • If I have 297 dogs but 5 wolves came and toke 131. How many are left?
    9·2 answers
  • What is the area of this rectangle
    15·1 answer
  • Parking at a large university can be extremely difficult at times. One particular university is trying to determine the location
    10·1 answer
  • Select the two values of x that are roots of this equation.
    5·1 answer
  • What is the area of a circle with the radius of 7
    9·1 answer
  • Find the quotient <br> 2/5÷3/4
    7·2 answers
  • Write 7649 10,000 in decimal notation.​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!