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
skad [1K]
3 years ago
6

The class average on a math test was an 82 with a standard deviation of 5. If the 

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6

Option 1 is incorrect

2) For x < 87

z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6

Option 3 is correct

4) For x < 77

z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

You might be interested in
Can someone help me find the answer?
den301095 [7]

Answer:

that sucks


Step-by-step explanation:


5 0
3 years ago
X-1=5x+3x-8<br>help this confused child
alexira [117]
X-1= 5x+3x-8

Combine like terms
x-1= 8x-8

Our goal is to isolate x by cancelling out other numbers.
Subtract x from both sides
x-1-x= 8x-x-8
-1= 7x-8

Add 8 to both sides
7=7x

Divide both sides by 7
1=x

Final answer: x=1
4 0
3 years ago
Find gcd for 5767 and 4453
Dima020 [189]
The gcd of 5767 and 4453 is 73.
Hope this helps. :)
7 0
3 years ago
In a geometry class, the students were asked to prove the theorem below by contradiction.
Readme [11.4K]
<span>The contradiction term for "at most one obtuse angle" is "no obtuse angles
so therefore i conclude that the </span> statement she will  most likely use as an assumption is
  Let each angle of a triangle be acute
so option A is correct
hope it helps
4 0
3 years ago
2. Three points of a parallelogram are (4, 3), (-4, 3), and (2, 3). Find the coordinates of the 4th point to complete the parall
antiseptic1488 [7]

Parallelograms have equal and parallel opposite sides

<em>The coordinates of the 4th point is (-2,3)</em>

Let the parallelogram be ABCD, such that:

A = (4,3)

B =(-4,3)

C = (2,3)

A and B have the same y-coordinates, while their x-coordinates are additive inverse

This means that:

The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.

<u>For point C</u>

We have:

x = 2

y = 3

<u>For point D</u>

The coordinates would be:

x =- 2

y = 3

Hence, the coordinates of D is (-2,3)

Read more about parallelograms at:

brainly.com/question/9680084

7 0
2 years ago
Other questions:
  • Write the numerical
    9·1 answer
  • a 15 foot ladder is leaning against a building .How High up on the building will the ladder reach when the bottom of the ladder
    5·2 answers
  • The standard normal curve shown here is a probability Devenski her for continuous random variable this means in the area underne
    11·1 answer
  • 1. A special at a local restaurant allows customers to choose one entrée and one dessert for $5.99. There are 8 entrées and 5 de
    11·2 answers
  • define f(1) in a way that extends f(s)=(s^3-1)/(s^2-1) to be continuous at s=1. Show step-by-step solution.
    7·1 answer
  • Use distributive property to express 32 + 64
    14·2 answers
  • (20pts=5pts each) For parts (a)–(d) answer the questions and complete the statements in the space provided: line EC ∩ line AC ∩
    14·1 answer
  • Which table represents the function y = 3x - 1?<br><br> ​
    7·1 answer
  • Roberto works in a home appliance store she is paid $195 per week and 3% on all sales over $1000 during one year her average wee
    5·1 answer
  • . A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive ep
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!