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
Over a three-day weekend, a rental car agency charges $65 to rent a car plus $0.30 for each mile traveled. If y represents the t
SOVA2 [1]
Y=0.30x+65

point-slope form
3 0
3 years ago
The proof that point (1,root 3) lies on the circle that is centered at the origin and contains the point (0,2) is found in the t
AURORKA [14]
<h2>Answer:</h2>

D. Distance formula

<h2>Step-by-step explanation:</h2>

The \ \mathbf{distance} \ d \ between \ the \ \mathbf{points} \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ in \ the \ plane \ is:\\ \\ d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

As in the statement:

<em>The distance form</em> (0,0) to (0,2) is \sqrt{(0-0)^2+(2-0)^2}=\sqrt{2^2}=2 <em>whose justification is the </em><em>Distance Formula. </em>

<em />

Here in this statement the justification is also the Distance Fromula, so we take the distance from (0,0) \ to \ (1,\sqrt{2}) whose result is also 2 and is the radius of the circle.

3 0
3 years ago
Read 2 more answers
Rotate the vector (0,2) 270 degrees counterclockwise about the origin
SashulF [63]
<h3>Answer:  (2,0)</h3>

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

3 0
3 years ago
-3(5n-8)=-8(n-3)<br><br> Please Hurry
BartSMP [9]

Answer:

- 3(5n - 8) =  - 8(n - 3)

- 15n + 24 =  -8 n + 24

- 15n + 8n = 24 - 24

- 7n = 0

n =  \frac{0}{ - 7}

n = 0

6 0
2 years ago
What is the gcf to 36 k and 144km
leonid [27]
The GCF is 36 since 36 can go into 144 (:
x
7 0
3 years ago
Read 2 more answers
Other questions:
  • How do i find an angle that is complementary to theta?<br><br> ...?
    14·1 answer
  • What is 100 decreased by 10%
    7·1 answer
  • If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal
    13·1 answer
  • 65+40+x divided by 83
    8·1 answer
  • a small fictional country had a population of 2,254,000 people in the year 2000. if the population grows steadily at a rate of 3
    15·1 answer
  • 1.2.and 3 please due in a hour
    13·2 answers
  • a parking lot is filled with 260 cars. 1/2 of the vehicles are suvs. 1/3 are sub compact cars. the rest are luxury cars. how man
    15·1 answer
  • Describe the transformation of the graph y = -(x-4)^3 +5
    13·1 answer
  • Determine the slope and y-intercept of the line represented by the equation:<br> 3x – 4y - 16 = 0
    6·2 answers
  • Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. Th
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!