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
aliina [53]
3 years ago
14

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1530 and the standard deviation

was 316. The test scores of four students selected at random are 1930. 1250. 2250. and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1930 is.(Round to two decimal places as needed.)
Mathematics
1 answer:
sdas [7]3 years ago
7 0
<h2><u>Answer with explanation</u>:</h2>

Given : A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1530 and the standard deviation was 316.

i.e.  \mu=1530 and \sigma=316 .

Usual values have a z-score between -1.96 and 1.96.

The test scores of four students selected at random are 1930, 1250, 2250, and 1420.

Formula for z : z=\dfrac{x-\mu}{\sigma}

For x= 1930 ,  z=\dfrac{1930-1530}{316}\approx1.27

The z-score for 1930 is 1.27.

For x= 1250 ,  z=\dfrac{1250-1530}{316}\approx-0.89

The z-score for 1250 is -0.89.

For x=2250 ,  z=\dfrac{2250-1530}{316}\approx2.28

The z-score for 1250 is 2.28 .

For x= 1420 ,  z=\dfrac{1420-1530}{316}\approx-0.35

The z-score for 1250 is -0.35 .

Since all the z-values lie between -1.96 and 1.96 except 2.28 corresponding to x=2250.

Thus , the z-score corresponding to x=2250 is unusual.

You might be interested in
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
arsen [322]

The lowest grade that student could get is a 91 or higher

7 0
3 years ago
WILL MARK BRAINLIEST!! PLEASE ANSWER AS FAST AS POSSIBLE !!! ANSWER QUESTIONS 1-5! THANKS!!!
Shalnov [3]

Answer: 1. A Please give me a thanks and a brainly

Step-by-step explanation:

7 0
3 years ago
Hey can some one help me with this
Leno4ka [110]
Hello!

First you have to find the surface area of what he is painting

Finding the areas of all the rectangles he is painting

14 * 8 = 112
14 * 8 = 112
12 * 8 = 96
12 * 8 = 96
12 * 14 = 168

Add all these up

112 + 112 + 96 + 96 + 168 = 584

Divide this by the amount of area a pint of paint covers

584 / 90 = 6.4888...

He needs 7 pints of paint because he needs more than 6

Multiply this by the cost of 1 pint of pint

7 * 7.98 = 55.86

The answer is $55.86

Hope this helps!
3 0
4 years ago
Read 2 more answers
What is the volume of the cylinder?
Anna007 [38]

Answer:

  B.  2010.62 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . where r is the radius and h is the height

Filling in the numbers and doing the arithmetic, we get ...

  V = π(8 ft)²(10 ft) = 640π ft³ ≈ 2010.6193 ft³ ≈ 2010.62 ft³

The volume of the cylinder is about 2010.62 ft³.

7 0
4 years ago
The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of
viva [34]

Answer:

<em>500πx³y³z³ </em>

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>

8 0
3 years ago
Other questions:
  • HELPPPP Two commuter trains carry passengers between two cities, one traveling
    7·1 answer
  • Cylinder A has radius 1 m and height 4 m. Cylinder B has radius 2 m and height 4 m. Find the ratio of the volume of cylinder A t
    10·1 answer
  • At a certain high school, 40% of the students are boys and 60% are girls. of the girls, 40% take the bus to school and the rest
    7·1 answer
  • What is the surface area of the figure?
    9·2 answers
  • What is the quotient of 1/7 divided 2
    10·2 answers
  • 2. The sum of k and 10 is 48
    6·1 answer
  • Remember to simplify your fraction***
    10·2 answers
  • What is the slope of the line on the graph bekw?<br> 28<br> X<br> 6<br> 1<br> O<br> 1
    11·1 answer
  • Mathhhhhhhhhhh'[;[;[
    5·2 answers
  • Jabari draws figure GHIJ in the coordinate plane. He wants to reflect figure GHIJ across the x-axis to form WXYZ. A. Draw a dash
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!