Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are no more than 1.82? Please do not round your answer.

Answers

Answer 1

Answer:

The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

Mean (μ) = 2.62, Standard deviation (σ) = 0.4

68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)

95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)

The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%


Related Questions

14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55

Answers

Answer:

The second one or B

Step-by-step explanation:

1/4 = 0.25 then 0.55 then 79% = 0.79

Mrs phillubum has $200 in her bank account and is saving at a rate of $25 each week.

Answers

What is the question I can’t answer if there is no question?

Help for points! please

Answers

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

2x/5=9/15 what does x equal

Answers

Answer:

2x/5=9/15

2x=9/3

x=1.5

HELP ME PLEASEEEE I NEED ITT !

Answers

Answer:

p=12

Step-by-step explanation:

a=l×b

a=219.6

l=18.3

b=?

219.6=18.3×b

Divide both sides by 18.3

And therefore b=12 yards

HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0

Answers

Answer:

real and equal roots

Step-by-step explanation:

because at end of calculation,0=0

(-4+2)•(-5+3)/-3 please help

Answers

Answer:

-4/3

Step-by-step explanation:

(-4 + 2) • (-5 + 3)/-3

=> -2 • (-2)/-3

=> -2 • 2/3

=> -4/3

Therefore, -4/3 is your answer.

Hoped this helped.

Answer:

The answer is -4/3.

Step-by-step explanation:

(-4+2) = -2

x (-5+3) = -2

-2 x -2 = 4.

=-4/3

Tell whether the lines are parallel,
perpendicular or neither
Line 1:(-1,3), (-1,5)
Line 2: (0, 0), (0, 6)

Answers

Answer:

Line 1 passes through (5, -9) and (0, -5)

We are going to use slope-intercept form of a linear equation.

First we are going to find the slope of the line.

m= -5- (-9)

-------

0-5

m=4/-5

Now substitute in the point to find the y-intercept:

Either point can be used. I am using point (0,-5)

y=-4/5x+b

-5=-4/5(0)+b

-5=b

So, the linear equation is y=-4/5x-5

Line 2 passes through (-3, 8) and (1, 3)

m=3-8

-----

1-(-3)

m=-5/4

Use slope intercept form and substitute in either point

I am using point (1,3)

y=-5/4x+b

3=-5/4(1)+b

3=-5/4+b

3+5/4=b

17/4=b

Therefore, the equation of Line 2 is y= -5/4x+17/4

Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4

Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7

Answers

Answer:

4

Step-by-step explanation:

f(x)=3x+2-4

f(2)=3(2)+2-4

f(2)=6+2-4

f(2)=8-4

f(2)=4

Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.

Answers

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

Read more about margin of error at:

https://brainly.com/question/14396648

please help me!

ty :D

Answers

Answer:

x =  3,0 y = 0, -4

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, 12x - 9y = 36or, 12(0) - 9y = 36or, -9y = 36or, y = 36 ÷ -9 = -4(x, y) = (0, -4)Now, let y be 0.Then, 12x - 9y = 36or, 12x - 9(0) = 36or, 12x = 36or, x = 3(x, y) = (3, 0)So, x-intercepts are 0 and 3 and y-intercepts are -4 and 0.

Answer:

x - intercept (0, 3)

y - intercept (-4, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

HELP PLEASE!!!!!!!!!

Answers

Answer:

-1/4

Step-by-step explanation:

please mark brainliest

Which pairs of angles are alternate interior angles? Select all that apply.

A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8

PLEASE HURRY!!

Answers

B ??? i’m not sure bout this

Can somebody please help me

Answers

Answer:

b is 62 a is 118 c is 59 I have to get 20 characters

How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process

Answers

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

I NEED THIS ANSWERED ASAP
Which point is a solution to the system of equations?y=2x+2y=3x

A: (0,2)
B: (0,0)
C: (2,6)
D: (6,2)

Answers

Answer: B

Step-by-step explanation:

The _________ setting in the option profile automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job.

Answers

The name which is given to the setting in the option profile which  automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:

Vulnerability Detection

Based on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.

As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.

Therefore, the correct answer is Vulnerability Detection

Read more about vulnerabilities here:

https://brainly.com/question/18088367

identify the coefficient in the term 7x^2y^3

Answers

The coefficient in the term 7x^2y^3 is  7

The term of the expression or equation is given as:

7x^2y^3

For an expression represented as 2x, the coefficient is 2.

Similarly, the coefficient in the term 7x^2y^3 would be 7

Hence, the coefficient in the term 7x^2y^3 is  7

Read more about terms and coefficients at:

https://brainly.com/question/13602562

express the following ratio in the simplest form 7.2m to 24cm​

Answers

Answer:

Our simplified ratio is 3:10.

Step-by-step explanation:

We are given this ratio:

7.2:24

We can tell that 7.2:24 = 7.2/24. Now, let's simplify.

=> 7.2/24 = 6/20=> 6/20 = 3/10

Our simplified fraction is 3/10. Now, let's turn it back to ratio form.

=> 3/10 = 3:10

Conclusion:

Therefore, our simplified ratio is 3:10.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Work out
m
and
c
for the line:
3
x
+
2
y

1
=
0

Answers

Answer:

M = -3/2

C = 1/2

Explanation:

3 x + 2 y − 1 = 0

-> 2y = 1-3x

y=-3/2x+1/2

so M = -3/2 and C = 1/2

Divide 120ml into the ratio 3:7

Answers

Answer:

Step-by-step explanation:

sum of ratio=3+7=10

total=120 ml

first part=3/10×120=36 ml

second part=7/10×120=84 ml

Mrs. Arnold asked her 30 Geometry students who owned a pet. 16 students own a dog, 12 students have a cat and 6 students did not have a cat or a dog. Thomas wrote the information in a Venn diagram but made an error. Explain where the error occurred.

Answers

Answer:

The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.


Answer:
Thomas was to label the center of the diagram for the students not owning a pet.
With 6 at its center

Could somebody please help with this math?

Answers

Answer:

87

Step-by-step explanation:

the slope is very easy you can solve it in easy way all you have to do is give me your phone

Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33

Answers

Step-by-step explanation:

The first inequality has solution

 4p > -8 . . . . . . subtract 1

 p > -2 . . . . . . . divide by 4

This is graphed as an open dot at -2, with shading to the right.

Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:

 a number line with open circles at negative 2 and 5 with shading in between

hope that help mark me brinilylist

Solve the system of linear equations by substitution x=5y+2 and x-4y=5

Answers

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)

what is greater -5 1/2 or -6.5

Answers

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Answers

Answer:

20.

Step-by-step explanation:

We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:

4/10=x/50.

Cross-multiplying, we have 200 = 10x, and x = 20.

20
100/40=40%
100/50=2
40/2=20

i need help please!!!!

Answers

Answer:

not parallel.

Step-by-step explanation:

1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));

2) slope of AB: (7-3)/(2-1)=4;

3) slope of CD: (5-2)/(7-6)=3;

4) finally, AB∦CD (4≠3).

does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?​

Answers

Answer: only has one solution

Step-by-step explanation:  If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution

Answer:

x has infinite values.

Step-by-step explanation:

7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||

In this case this we have the same eqations on both sides, x = anything.

In other words, x have infinite values.

PLEASE HELP ASAP WITH#4

Answers

Answer:
B.

Explanation:
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