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Oksi-84 [34.3K]
3 years ago
14

Suppose the scores of students on a Statistics course are Normally distributed with a mean of 563 and a standard deviation of 37

. What percentage of the students scored between 563 and 637 on the exam?
Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

47.72% of students scored between 563 and 637 on the exam .

Step-by-step explanation:

The percentage of the students scored between 563 and 637 on the exam

= The percentage of the students scored lower than 637 on the exam -

the percentage of the students scored lower than 563 on the exam.

Since 563 is the mean score of students on the Statistics course, 50% of students scored lower than 563. that is P(x<563)=0.5

P(x<637)=P(z<z*) where z* is the z-statistic of the score 637.

z score can be calculated using the formula

z*=\frac{X-M}{s} where

  • X =637
  • M is the mean score (563)
  • s is the standard deviation of the score distribution (37)

Then z*=\frac{637-563}{37} =2

P(z<2)=0.9772, which means that 97.72% of students scored lower than 637 on the exam.

As a Result, 97.72%-50%=47.72% of students scored between 563 and 637 on the exam

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dedylja [7]

Answer:

No, \frac{\pi}{\pi} is 1 which can be written as \frac{1}{1}. The definition of rationals is any number that can be written as a ratio of an integer to an integer where the bottom integer is not 0.

Step-by-step explanation:

\frac{\pi}{\pi}=1  since 1(\pi)=\pi.

Rational numbers included anything that can be written as a fraction where the top and bottom are integers (bottom integer is not 0).

1 can be written many different ways. It can be written as \frac{1}{1}.

Both the numerator and the denominator of the rewrite of one that I did are integers.

The integers include the following numbers:

{...,-4,-3,-2,-1,0,1,2,3,4,...}.

The integers are the whole numbers and the opposite of the whole numbers.

The whole numbers are {0,1,2,3,4,...}.

The opposite of the whole whole numbers are {...,-4,-3,-2,-1,0}.

3 0
3 years ago
What is the median for the following set of numbers? 5, 7, 12, 15, 21, 21, 22, 22
Levart [38]

Answer:

15+21/2

Answer: 18

4 0
2 years ago
Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 4y = 12 and x - y = 0
Elenna [48]
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x -  y  = 0
--------------- - (substract)
     -3y = 12
        y = 12/-3
        y = -4

Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4

The solution
x,y = -4,-4
6 0
3 years ago
Name the postulate or theorem you can use to prove TKS=TLR
OlgaM077 [116]

Answer:

ASA postulate

Step-by-step explanation:

To prove two triangles are congruent, you need 3 congruent parts in one of the patterns ASA, AAS, SSS, or SAS. Place your pencil on one vertex of the triangle then trace the figure. As you come to each congruent part, write either A for angle or S for side depending on what the part is. After doing so, you will see the pattern A - S - A since a side is congruent between two angles.

8 0
3 years ago
-7(-2x - 3) = 35<br>x=?<br><br>-8(4x + 3) = 40<br>x=?<br><br>2(8 - 5x) = -44<br>x=?
STALIN [3.7K]
Use distributive property: multiply the number outside the bracket by each number inside it

1. 14x+21=35 14x=14 x=1
2. -32x-24=40 -32x=64 x= -2
3. 16-10x=-44 -10x=-60 x=6
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