Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.38. Using the empirical rule, what percentage of the students have grade point averages that are between 1.42 and 3.7?

Answers

Answer 1

Answer:

99.7% of the students have grade point averages that are between 1.42 and 3.7

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 2.56 and standard deviation of 0.38.

Using the empirical rule, what percentage of the students have grade point averages that are between 1.42 and 3.7?

1.42 = 2.56 - 3*0.38

3.7 = 2.56 + 3*0.38

So both these scores are within 3 standard deviations of the mean, which means that 99.7% of the students have grade point averages that are between 1.42 and 3.7


Related Questions

Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?
A. 4x2 + 7x − 10
B. 4x2 + 10x − 7
C. 12x2 + 7x − 10
D. 12x2 + 23x − 10

Answers

I hope this helps the answer is


C. 12x2+7x-10

Which expression can be used to solve the problem below? What is 1/4 of the product of 12 and 3?

Answers

Answer:

12/4=3and3/4is 1/4 of the product of 12

and 3.

which one is a Metaphor


1. A phrase where the words have no connection to their meaning. carries no meaning outside of context or prior experience with the phrase and cannot be translated.

2. Extreme exaggeration

3. words that have the same beginning sound together

4. A reference or mention of a person, event, statement, piece of art, history, myths, religion, or popular culture

5. A direct comparison that does not use like or as. Instead, it says something IS something else.

6. Giving human characteristics to non-human things.

Answers

Answer:

5. A metaphor is a direct comparison that does NOT use the words like or as. It says that something is something else.

For example:

Her eyes are the ocean and you can get lost in their waves.

His speed is that of a cheetah.

She is the calm wind on a late Sunday evening.

He is the brain of a computer while he designs the new car.

Select the correct answer from each drop-down menu.
Describe the relationship between the area of a circle and its circumference.
The -blank-
is -blank-
times the -blank-
times the circunference.

Answers

Answer:

hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference

Step-by-step explanation:

An urn contains b black balls and r red balls. One of the balls is drawn at random, but when it is put back in the urn c additional balls of the same color are put in with it. Now suppose that we draw another ball.

Required:
Show that the probability that the first ball drawn was black given that the second ball drawn was red is b/(b r c).

Answers

Answer:

Please see the explanation below for proof

Step-by-step explanation:

Probability of choosing black ball from the bag

[tex]\frac{b}{b+r}[/tex]

Probability of choosing red ball from the bag

[tex]\frac{r}{b+r}[/tex]

After the addition of c balls of correspondent color –  

P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]

P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]

B1 and B2 are mutually exclusive event

P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]

P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]

Hence, Proved

PLEASE HELP ILL GIVE BRAINLIEST AND SO MUCH MORE!!!!
Find the measurement of WOV. Which angle relashionship doyou use?

Answers

Answer:

60 degrees

Step-by-step explanation:

90 digress minus 30 degrees will be 60 degrees

Find the value of x.
(will give brainliest to correct answer)
30°
15x

A. 4

B. 2

C. 12

D. 10

Answers

Answer:

It might be D but im srry if wrong

Step-by-step explanation:

Question 5
Calculate the perimeter of the sector
4cm
285

Answers

Circumference of circle of radius 4 cm = 8π cm
length of 285° arc = (285/360)×(circumference) = (19/24) × 8π = (19/3)π
Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm

The arc length of the sector will be 19.89 centimeters.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Four times the difference of a number cubed and six

Answers

Step-by-step explanation:

4(n^3 - 6)

hope this helps

HELP ASAP !! During one team's session, the ratio of the number of games the team won to the number of games the team played was 4 to 12. The team played 42 games. How many games did the team win? A) 17 Games. B) 11 Games. C) 10 Games or D) 14 games.

Answers

Answer:

In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?

Step-by-step explanation:

WILL MARK BRAINLYIST

Answers

Answer:

a= 158

b=22

Step-by-step explanation:

First we have to find b in order to find a.

To find b we need to add up the two angles we know the value of and subtract it from 180.

90+68= 158

180-158=22

We know b is 22 because the sum of all angles in a triangle is always 180.

Now that we have b we can find a.

we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.

Answer:

b is 22° and a is 158°

Step-by-step explanation:

b can be calculated by angle sum property and a can be calculated using exterior angle sun property

Of the 950 students enrolled in a soccer league, 42% are in middle school. How many students in the soccer league are in middle school?


68

399


509


908

Answers

399 students

Hope this helps :)

Evaluate the expression 2y + 3.5. Evaluate the expression for y=1.8, y=4, y=6.9. (there should be three answers)

Answers

Answer:

1. 7.1

2. 11.5

3. 24.2

Step-by-step explanation:

you use P.E.M.D.A.S. for all the equations.

so you do thr multiplication and then the addition

1. 2(1.8)+3.5= 3.6+3.5= 7.1

2. 2(4)+3.5= 8+3.5=11.5

3.2(6.9)+3.5= 13.8+3.5= 24.2

hope this helps

-2x-4=16
Show each step of your work.

Answers

Answer:

x= -10

Step-by-step explanation:

PEMDAS

First you multiply- -2x?

You don't know what x is so you subtract 4 for 16

16-4=12

2-12= -10

Classify the angle.
What type is it.

Answers

The angle is obtuse I think

The measure of an angle is 39.3°. What is the measure of its complementary angle

Answers

i’m not sure but i think it’s 51 degrees

Cary puts $500 into a savings account that earns 5.5% annually. The amount in her account can be modeled by C(t) = 500(1.055)t, where t is the time in years.

Write the expression best approximates the amount of money in her account using a weekly growth rate. (DO NOT ROUND ANY NUMBERS)

***Just need some clarification, it says there is annual growth rate but the question is asking that I change the function into weekly growth rate so...how do I do that?

Answers

Answer:

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

sorry if im wrong

Step-by-step explanation:

Sharla spent twice as long riding her bike as she spent doing chores. Her chores included cleaning her room and walking her dog for 20 minutes. Sharla rode her bike for 60 minutes. How much time did she spend cleaning her room?

Answers

Answer:

Ten minutes.

Hope that helps!

How many grams are in 1 pound (on Earth)? Round to the nearest tenth.

Answers

Answer:

453.6, or 453.59237

Step-by-step explanation:

Answer:

28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6

Step-by-step explanation:

First you must convert ounces to grams

Then, you must convert the ounces to pounds

You do this by knowing that 1 oz is 1/16 of a lb

Knowing that 28.35 grams are in 1 oz

You then multiply the 28.35 grams by the 16 oz

Which gives you 453.6 0r 453.60 grams in 1 lb

Angle 1 is 135
Angle 2 is ?
Angle 3 is 135


Angle 3 is an exterior angle. What is the missing angle

A. 45

B. 80

C. 90

D. 180

Answers

Answer:

80

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models the amount Thomas needs to save?
a > 550.45
<550.45
O $60.45 ca
50 45 = a

Answers

Answer:

its c

Step-by-step explanation:

This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.


A:y=-2x
B:y=-2x-3
C:-3x+2
D:y=-3x

Answers

Answer:

The answer is C.

Hope this helps :)

-ilovejiminssi♡

A $65 drone is on sale for $51.35. What is the percent of discount?

Answers

Answer:

20% off

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

To calculate the percentage discount between two prices, follow these steps:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

$51.35-65=13.65

13.65/65= -0.21

-0.21*100=-21

Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.

Answers

Luis can swim 90 meters per minute
1 1/2 x 60 = 90


What is the slope of the line

Answers

[tex]\frac{1}{2}[/tex] Or 2.

(Pretty sure it's the first option.)

Brainiest if correct? Ty!

A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?

Answers

Answer: 125

Step-by-step explanation:

25% of 100 = 25

25 + 100

125

solve the equation
-2x +8 = -10

x/-5 + -15 = -22

Answers

Answer to first one is X = 9
Answer to second one is X = 35

1.Write an equation in point slope form given a point (-5,2) and slope 3/5

Question 2

Write an equation in slope intercept form given a slope -5 and y intercept as (0,-4)

Answers

Answer:

1. y - 2 = (3/5) (x + 5)

2. y = -5x - 4

Step-by-step explanation:

Slope form - y1 - y = m (x1 - x)

Slope intercept - y = mx + b

In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.

Answers

Answer:

44

Step-by-step explanation:

delta math

The length of t is approximately 43.60 cm, to the nearest centimeter.

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.

In this case, we know that:

r = RS = 52 cm

s = ST = 55 cm

∠T = 48°

So, we want to find the length of t, which is the side opposite the angle T.

Let's call the length of t "c". Then, applying the law of cosines, we have:

[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]

Taking the square root of both sides, we get:

c= 43.60 cm

Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

What integer does the arrow indicate?
+
-8
+ +
-6 -5
+
3
+
4
+
7
- 10 -9
-7
-4
-3
-2
-1
0
1
2
5
6
8
9
10
0-14
0-3
06

Answers

Answer:

-9

Step-by-step explanation:

Given

See attachment for number line

Required

What does the arrow integer

Represent the value of the arrow with x.

The arrow is on number -9.

This number is what the arrow represents.

Hence:

[tex]x = -9[/tex]

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