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KengaRu [80]
2 years ago
5

A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib

uted with a mean of 502 and a standard deviation of 115. Based on this information, what percentage of students would be expected to score between 400 and 590
Mathematics
1 answer:
Jet001 [13]2 years ago
6 0

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 502, \sigma = 115

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

Z = \frac{590 - 502}{115}

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

Z = \frac{400 - 502}{115}

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

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Math
lozanna [386]

Answer:

1. x=6

2. C <-26

3. p<6

4. -5x-44

Step-by-step explanation:

1. 2x = 3(x-2) - 3(x-6)

Distribute

2x= 3x-6 -3x+18

Combine like terms

2x =12

Divide by 2

2x/2 =12/2

x=6


2. C+6<-20

   Subtract 6 from each side

C+6-6 < -20-6

C <-26


3. -5p > -30  

Divide by -5.  Remember to flip the inequality when dividing by a negative

-5p/-5 < -30/-5

p<6


4. -4 - 5(X+8)

Distribute

-4 -5x-40

Combine like terms

-5x-44

6 0
3 years ago
By ordering the data find the Lower Quartile<br> 5, 7, 4, 3, 2, 6, 8, 9, 10, 15 *
Klio2033 [76]

Answer:

.Lower quartile = 3.5

Step-by-step explanation:

Rearranging the data from lowest to highest.

2, 3, 4, 5, 6, 7, 8, 9 , 10, 15

First finding the median to make it easier to find the lower quartile.

median : 6 and 7 but right now they're irrelevant so we don't honestly need to work that out.

The lower quartile would be 3 and 4

3+4= 7 divide by 2 = 3.5 is your lower quartile

8 0
2 years ago
A line has no thickness, but it does have direction and ___ length.<br> (Fill in the blank)
Mandarinka [93]

A line has no thickness, but it does have direction and infinite length.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.

In cartesian plane the general equation of a line is given by :

y=mx+c where the slope is denoted by m and the y-intercept by c.

To learn more about a straight line:

brainly.com/question/17188072

#SPJ9

3 0
1 year ago
The problem is in the picture​
Aleonysh [2.5K]

Answer:

27%

Step-by-step explanation:

In the row Students ages 14-17 and column skip breakfast, there are 24 students.
In row total and column total, there 90 students.

24/90 are students age 14-17 who skip breakfast

24/90 = 12/45 = 0.26666667

Percent = decimal x 100

Percent = 0.26666667 x 100 = 26.666667

26.666667 is rounded to 27%

Hope this helps :)

Have a nice day!

5 0
2 years ago
Read 2 more answers
What’s the area? For this
ZanzabumX [31]

to figure out the area you have to use the formula 1/2 base times height.

7 0
2 years ago
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