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

Choose the graph of the linear equation 24x + 64y = 384!
?

pls answer fast

Answers

1
............................

Answer: A the first one

1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.

Answers

Answer:

8.3 is equal to eight tenths 3 hundredths

28 is equal to 28 tenths.


(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence​

Answers

9514 1404 393

Answer:

  51

Step-by-step explanation:

The rule gives the sequence ...

  75, 69, 63, 57, 51, 45, ...

The 5th number in the sequence is 51.

__

Alternate solution

The equation for the general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

Your sequence has first term 75 and common difference -6, so the equation is ...

  an = 75 -6(n -1)

Then for n=5, the term is ...

  a5 = 75 -6(5 -4) = 75 -24 = 51

The 5th term is 51.

A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?

Answers

Answer:

Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will  Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.

Step-by-step explanation:

hope it helps

PLEASE HELP ASAP!!!!! i will give brainliest

Answers

Answer:

Step-by-step explanation:

you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equation

I'll be using the quadratic equation

Draw a picture of the base and label the dimensions 140 17ft 4t Shape of the base Formula for area Perimeter of the base (P)= Area of the base (B) = height of the prism (h)=​

Answers

Answer:sorry but i can't help you i got work okay.

Step-by-step explanation:

Find the measure of angle ABD.

Answers

Answer:

ABD=23

Step-by-step explanation:

9x-22=6x-7

3x= 15

x=5 but wait thats only what X is so

9(5)-22

45-22

ABD=23

BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

370-165=205

205-100=105

105/35=3

What is the least common multiple of the two denominators
6/8 , 4/32

Answers

4 is the common multiple of 2 denominators

During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 160 minutes?

Answers

Answer:

100

Step-by-step explanation:

80*2=160

so 50*2=100

A team of biologists captured and tagged 65 deer in a forest. Two weeks later, the
biologists captured a sample of 30 deer from the same forest and found that 5 of
them were tagged. Which proportion could be used to estimate the number of deer in
the forest?

Answers

Answer:

1/6x= 65

Step-by-step explanation:

so we can assume that 5/10= 1/6 of the deer were tagged

lets call the total number of dear x

so 1/6x= 65

x= 380

The proportion that can be used to estimate the number of deer in the forest is 5/30 = 65/390

To estimate the number of deer in the forest, we can set up a proportion using the tagged deer in the sample as a representative of the entire population.

Let's denote the number of deer in the forest as 'x'.

We know that 65 deer were tagged out of the total population. In the sample of 30 deer, 5 were tagged.

Therefore, we can set up the following proportion:

Tagged deer in sample / Total deer in sample = Tagged deer in population / Total deer in population

5 / 30 = 65 / x

Now we can cross-multiply to solve for x:

5x = 65 * 30

5x = 1950

Dividing both sides by 5:

x = 1950 / 5

x = 390

Therefore, the proportion that can be used to estimate the number of deer in the forest is 5/30 = 65/390

To know more about proportion click here :

https://brainly.com/question/12235587

#SPJ2

Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported

Answers

Answer:

1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer

Hunter cut his pizza into 10 slices.he ate 4 slices of the pizza.what fraction is equivalent to the amount of pizza he ate

Answers

Answer:

4/10=2/5

Step-by-step explanation:

because

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

x=20

Step-by-step explanation:

hope this helps

Answer:

X=20

Step-by-step explanation:

enjoy! (Hope u got it right)

2.945 to the nearest hundredth​

Answers

Answer:

2.95

Step-by-step explanation:

2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.

Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.

Answers

Answer:

C - An anti-predator adaptation has evolved in the caterpillar.

Step-by-step explanation:

An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.

What is adaptation?

The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.

The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.

Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.

Therefore, The right option (C) is correct.

Learn more about adaptation here:

https://brainly.com/question/12534888

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In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

Answers

Answer:

Step-by-step explanation:

I = 180-152-7 = 21°

Law of Sines:

g = h·sinG/sinH ≅ 38.5 cm

i = h·sinI/sinH = 29.4 cm

Use Heron's Formula to calculate the area from the lengths of the sides.

semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm

area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²

5t + 17 = 4( t +3 )
1/2x + 1/3x =10
1/4x + 2/5x = 39
please can someone help me with these problems i will give brainliest for the person who gives me the answers and work to go with it

Answers

Answer:

1. T = -5 2. X = 12 3. X = 60

Step-by-step explanation:

5t + 17 = 4(t + 3)

1. Distribute 4

5t + 17 = 4t + 12

2. Isolate the variable

t + 17 = 12

t = -5

1/2x + 1/3x = 10

1. Remove fractions by multiplying the equation by 6

3x + 2x = 60

2. Combine like terms

5x = 60

3. Divide by coefficient

x = 12

1/4x + 2/5x = 39

1. Remove fractions by multiplying by 20

5x + 8x = 780

2. Combine like terms

13x = 780

3. Divide by coefficient

x = 60

Need help finding the slope please answer need it done today

Answers

Answer:

1. 1/2

2. 2/5

3. -1

4. 1/2

Step-by-step explanation:

slope is equal to rise/run

you take two points and count how far up and sideways

if it is down make it negative

Solve the proportion. 2x/5 = 9/15

Answers

x = 3/2

Getting x on one side of the equation:

(2/5)x = 9/15

x = (9/15)(5/2)

x = 9/6

x = 3/2

F(x) =3x-10 when x=3

Answers

when x = 3,

y = -1

F(x) = 3(3) - 10 = 9 - 10 = -1

this is confusing, i need help​

Answers

Answer:

Step-by-step explanation:

2. SV ║TU

3. SV ≅TU  

7. corresponding sides of congruent Δ are congruent

8. quadrilaterals that have one set of opposite sides ║ and ≅ are parallelograms

A store manager buys binoculars for $45 each. He marks up the cost by 40% to get the store price. Then the store has a sale and the store price is reduced by 10%. What is the sale price of the binoculars?​

Answers

Answer:

$56.70

Step-by-step explanation:

The cost plus markup is found by multiplying $45 by 1.40:  $63.

With the 10% price reduction, the sale price is 0.90($63) = $56.70.

Regarding 1.40:  the '1' results in the full price to the manager plus the '0.40' markup.

Angle A and B are supplementary. If m∠A = 143°, find m∠B.

Answers

Since angle a is 143° you’d subtract 143 by 180 because a supplementary angle is 180° which would give you 37° for angle b
Answer: 37°

Proportions in Similar Triangles find the value of x

Answers

Answer:

x=6

Step-by-step explanation:

Hannah went shopping for a new phone. The listed price of the phone was $48, but
the price with tax came to $50.40. Find the percent sales tax.

Answers

Answer:

5%

Step-by-step explanation:

50.40 - 48 = 2.4.

The sales total sales tax was $2.40.

2.4 is 5% of the original $48 that was the listed price of the phone.

Find the greatest common factor 27x2y2, 45x2

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:


A triangle has two equal sides.
a)
What is the special name for this type of triangle?
I​

Answers

Isosceles Triangle is the name of the triangle

Answer:

isosceles triangle

Step-by-step explanation:

Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters

Answers

Cool nothing for me to answer

HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!

Answers

Answer:

Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160

Step-by-step explanation:

Answer:

again sorry I do not know but I think it d because it not the same as the rest.

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