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

Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?

Answers

350-100 =250 25x=250
X=10
She should save for 18 weeks

Functions f(x) and g(x) are define below.

f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4

determine where f(x) = g(x) by graphing.

Answers

Answer:

slope:1

y-intercept:(0,0

Answer:

x = -1 and x = 8.1

See image

Step-by-step explanation:

If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form

y=sqrt x

And

y=|x|

Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.

There are 42 students separated into 6 groups for a field trip. How many students are in each group

Answers

Answer: 7 students in each group

Explanation: 42 divided by 6 = 7

Answer:

There is 7 students in each group

Step-by-step explanation:

So it's basically easy math 42 divided by 6 equals 7 :)

Hopes This Helps :)

Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?

Answers

Answer:

See below

Step-by-step explanation:

Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)


Please helpppppppppppp

Answers

Answer:

5/4

Step-by-step explanation:

35/4 ÷ 14 = 5/4

That means 14 was multiplied by 5/4 to get 35/2

Mapping diagram: Is it a function? (yes /
no
) Why or why not?

Answers

It is a function

Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

4 apples, 2 bananas, and 5 pearsWhat is the ratio of pears to all fruit?

Answers

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

five pears out of eleven fruit total

hope this helps!

Answer:

5 : 11

Step-by-step explanation:

total fruit = 4 + 2 + 5 = 11

Then the ratio of

pears : all fruit

= 5 : 11

2(6)-2x=3
CN someone answer? Use distributive property

Answers

Answer:

I think this is what you want:

2(6)-2x=3

We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.

2(6-x)=3

6-x=3/2

-x=-9/2

x=9/2

​The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?​

Answers

If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10

The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through points (5, 6) and (10, y)

[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]

The slope, m = 4/5

Substitute these value into the slope formula and solve for y

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]

Cross  multiply:

4(5)  =  5(y-6)

4   =  y  -  6

Collect like terms

y  =  4  +  6

y  =  10

Learn more here: https://brainly.com/question/13763238

i NEED help pleaseee​

Answers

almost 100% sure its one bevause anything with the exponent of 0 is one

Ben bowled 153 and 192 in his first two games. What must he bowl in his third
game to have an average of at least 170?
in his third game in order to have an average of at
Ben must bowl at least
least 170.

Answers

The third game is about 175

Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores

Answers

Answer:

95

Step-by-step explanation:

Mode is what is the most frequent number that occurred; 95 occurred the most from the data.

I need help solving for Y

Answers

Answer:

y=24

Step-by-step explanation:

since the triangles are similar, their sides are all in proportion

meaning:

[tex] \frac{20}{15} = \frac{32}{y} [/tex]

simplify the fraction

[tex] \frac{4}{3} = \frac{32}{y} [/tex]

cross multiply once the fraction is simplified

[tex]96 = 4y[/tex]

y=24

Answer:

y = 24

Step-by-step explanation:

the first triangle 20 : x : 32

the 2nd triangle 15 : 21 : y

Solve the equation of two triangles by similarity

x = [tex]\frac{21 * 20}{15}[/tex] = 28

y = [tex]\frac{21 * 32}{28}[/tex] = 24

Which line is the STEEPEST?

A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1

Answers

B is the steepest bc the slope is 8/1

Plz help brainiest to the correct answer!

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{1}{4}(-12)=-3[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow \dfrac{-1}{3}(39)=-13[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow -4/5(-75)=-4(-15)=60[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-2/5)(-3/4)=6/20=3/10[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8/3(-42)=-14(8)=-112[/tex]

What is the solution to this equation?

-8×+4=36

Answers

Answer:

-4

Step-by-step explanation:

[tex]-8x +4 = 36\\\\\implies 8x = 4-36\\\\\implies 8x = -32\\\\\implies x = -\dfrac{32} 8\\\\\implies x =-4[/tex]

help PLEASE

Match the following:

Answers

Answer:

3

2

4

1

Step-by-step explanation:

mark as brain list plz and like

Solve for x.

5.3>x+25


x>4910

x<5710

x<4910

x>5710

Answers

Answer:

x= < 4 9/10

Step-by-step explanation:

I hope this helps

Have a great and blessed day

Answer:

K12 Answer

Step-by-step explanation:

the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!

Answers

Answer:

88

Step-by-step explanation:

Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?

Answers

Answer: Alan's monthly payment would be $973.53.

Answer:

Alan monthly payment is going to be $56

Step-by-step explanation:

what is the lowest common denominator for 2/3 and 3/5

Answers

the lowest common denominator is 15

Answer:

15

Step-by-step explanation:

3 times 5 is 15

a water tank can hold up 80 gallons of water. if it is 40% full now. how many gallons of water does the tank contain?

Answers

Answer:

32 gallons of water

Step-by-step explanation:

If the total tank can hold up to 80 gallons of water, it is considered full when it contains 80 gallons. When the tank is 40% full, it has 40% of 80 gallons in the tank. 40% of 80 is 40/100*80=8*4=32 gallons of water.

How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution​

Answers

Answer:

It has got one solution since it is a linear equation which falls under polynomials

please help Me make sure you put the correct answer

Answers

Answer:

26

Step-by-step explanation:

3*8=24+2=26

Write 72,658 in expanded form using
exponents to write powers of 10.

Answers

ayo how do answer these

Step-by-step explanation:

7 x 10^4

+ 2 x 10^3

+ 6 × 10^2

+ 5 × 10^1

+ 8 X 10^0

Decrease £390 by 10%

Answers

Answer:

the other guy is correct, i think

Step-by-step explanation:

pls answer quickly

This Histogram shows the heights in inches of members of a middle school volleyball team.

How many members are between 50 and 70 inches tall?

A. 12

B. 10

C. 6

D. 4​

Answers

Answer:

B. 10

Step-by-step explanation:

Look at the chart.

Find how many members are 50-60 inches tall. (6)

Find how many members are 61-70 inches tall. (4)

Add each member count up. (10)

If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits

Answers

The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.

The percentage of employee benefits to total gross pay for each worker has to be determined.

Percentage = (total job benefits / gross pay) x 100

Emily: (33,600 / 32,600) x 100 = 103.07%

Jack: (34,700 / 33,700) x 100 = 102.97%

Judy: (33,900 / 33,400) x 100 = 101.5%

Marcel: (34,000 / 32,900) x 100 = 103.43%

A similar question was answered here: https://brainly.com/question/25764815

Please find attached a complete question

James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?

Answers

Answer:  20 feet

=====================================================

Work Shown:

(height)/(shadow length) = (height)/(shadow length)

(5 ft)/(6.5 ft) = (x ft)/(26 ft)

5/(6.5) = x/26

5*26 = 6.5*x

130 = 6.5x

6.5x = 130

x = 130/(6.5)

x = 20

The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).

Plz help brainiest to the correct answer!

Answers

Here’s the answer to your questions.

#1

Current temperature=0°C

Temperature before 1 hour

[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]

#2

Temperature before 3h

[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]

#3

Temperature before 4.5h

[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]

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