Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?

Answers

Answer 1

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%


Related Questions

Avery needs a total of $12.75 in quarters at
the local laundromat. She has already saved
$3.25. Which equation and solution process
can be used to determine q, the number of
additional quarters Avery needs to wash her
laundry?
A) 12.75 = 5 + 3.25
Sub
tract 3.25 from both sides and multiply
the difference by 25.
B)3.25 -0.259 = 12.75
Subtract 3.25 from both sides and divide
the difference by -0.25.
I
C)12.75 = 0.259 + 3.25
Subtract 3.25 from both sides and divide
the difference by 0.25.
D) 259 + 3.25 = 12.75.
Subtract 3.25 from both sides and divide
the difference by 25.

Answers

Answer:

C

Step-by-step explanation:

12.75=3.25+0.25q

9.50=0.25q

38=q.

1. The expression 11x2 - 12x - 10 has ___ terms and a constant of ___.



12, 11


3, -10


3, 10


11, 12

2. Combine like terms in the following expression: 7x + 3x + 2y - y.



10x2 + y2


10x + 3y


10x + y


10x - y

3. Use the distributive property to write the expression 1/2 (4x-6y) without parentheses.



2x + 3y


2x – 3y


2x – 6y


4x – 6y


Answers

#2 is 10x-y because 7x+3x=10xthen your subtracting 2y-y so it would be 10x-y

Help !! (x + 2y = 6.)

Answers

Answer:

what do you exactly want me to do? rewrite the equation or solve it?

Step-by-step explanation:

Answer:

x=−2y+6

y=−12x+3

Step-by-step explanation:

Let's solve for x.

x+2y=6

Step 1: Add -2y to both sides.

x+2y+−2y=6+−2y

x=−2y+6

Let's solve for y.

x+2y=6

Step 1: Add -x to both sides.

x+2y+−x=6+−x

2y=−x+6

Step 2: Divide both sides by 2.

2y/2=−x+6/2

y=−12x+3

PLEASE HELP NOW!!!!!
Which expression is equivalent to 3^2 • 3^-5

Answers

3²×3^-5

Multiply the terms with the same base by adding their exponents

3²-5

Calculate the differences

3^-³

Express with a positive exponent using  a ^-n =1/n

                                                                             a

1/3³

Write the exponentiation as a multiplication

3×3×3

Multiply the numbers

27

Answer is 1/27

Two sides of a triangle measure 8 and 13. what represents x, the possible length in inches of the remaining side

Answers

Answer:

the  possible number would be 159 in

Step-by-step explanation:

A supermarket sells orange juice in three sizes. The 32 fl oz container costs $1.99,the 64 fl oz container costs $3.69, and the 96 fl oz container costs $5.85. Which size orange juice has the lowest price per fluid ounce? Explain!

Answers

Answer:

64 fl oz

Step-by-step explanation:

To find the best price you take the cost and divide it by the number of fluid ounces ($1.99/32). For the 32 oz it costs .062, for the 64 oz it costs .057, and for the 96 oz it costs .060 (these are all approximate number btw). Therefore, since 64 oz has the lowest number it has the lowest price per fluid oz.

Kareem is a software salesman. His base salary is $2200, and he makes an additional $60 for every copy of Math is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 26 copies of Math is Fun.

Answers

Answer:

Step-by-step explanation:

a. p=2200+60n

b. p=2200+60(26)

p=2200 plus 1560

p=3760

The equation that should be related P to N should be considered as the 2200+60n.

And, the total pay when he sells 26 copies of Math is Fun should be 3760.

Calculation of the equation & the total pay:

Since

His base salary is $2200, and he makes an additional $60 for every copy of Math is Fun he sells.

Here P means the total pay

So, here the equation be p=2200+60n

Now the total pay be

p=2200+60(26)

= 2,200 + 1,560

= 3,760

hence, The equation that should be related P to N should be considered as the 2200+60n.

And, the total pay when he sells 26 copies of Math is Fun should be 3760.

Learn more about an equation here: https://brainly.com/question/15844891

The gardening store sells clay flower pots, which hold 8 liters of dirt, and ceramic flower pots, which hold 5 liters. Trevor bought 4 flower pots, which will hold a total of 26 liters of dirt. How many of each type of flower pot did he buy?

Answers

Trevor bought 2 clay & 2 ceramic.

Explanation:

2 clay = 16 liters
2 ceramic = 10 liters
16 + 10 = 26

Please help!! Quadrilaterals and other polygons

Answers

B . 50 degrees
yup i’m sure

PLEASE HELP. The graph below represents which system of inequalities?

Answers

Answer is the green one

A doctor prescribe 125 miligrams of a therapeutic drug that decays by about 10% each hour. Write an exponentia lmodel representing the amount A in milligrams of the drug remainng in the patient's system after t hours.

Answers

Answer:

[tex]C(t)=125\cdot 0.9^t[/tex]

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The doctor prescribed 125 milligrams of a therapeutic drug. It decays by 10% each hour. The initial value is Co=125 and the decay rate is r=0.1 per hour. Substituting into the function:

[tex]C(t)=125\cdot(1-0.1)^t[/tex]

Operating:

[tex]\mathbf{C(t)=125\cdot 0.9^t}[/tex]

Where t is expressed in hours.

PLEASE GOD I NEED THIS NOW

ΔDEF ≅ΔDFG by the postulate________



a. ASA

b. SSS

c. SAS

d. SSA

Answers

Answer:

b. SSS

Step-by-step explanation:

The diagram provided shows that:

DE is congruent to DG,

EF is congruent to FG, and

DF is congruent to DF

Thus, all three sides of ∆DEF is congruent to all corresponding sides of ∆DFG. Therefore, by the Side-Side-Side Congruence Theorem, ΔDEF ≅ΔDFG.

5. 24 points scored in 4 games; a points scored in 10 games​

Answers

Complete Question:

24 points scored in 4 games; a points scored in 10 games​. Are they equivalent?

Answer:

Both games are not equivalent

Step-by-step explanation:

Given

[tex]24\ points = 4\ games[/tex]

[tex]1\ point = 10\ games[/tex]

Required

Determine if they are equivalent

We have that:

[tex]24\ points = 4\ games[/tex] ----- (1)

[tex]1\ point = 10\ games[/tex] ----- (2)

To solve this, we simply make the number of games equal.

Multiply (1) by 2.5

[tex]2.5 * 24\ points = 4\ games * 2.5[/tex]

[tex]60\ points = 10\ games[/tex]

This implies that there are 60 points in 10 games

While for (2):

[tex]1\ point = 10\ games[/tex] means that

There are 1 point in 10 games

Hence, both games are not equivalent

Because, the number of points differ in the same number of games

Which statement correctly compares the slopes of the two functions? OA Function fhas a slope of which makes it steeper than function g. O B. Function g has a slope of , which makes it steeper than function f. Function ghas a slope of 2, which makes it steeper than function f. O c. OD Function f has a slope of 3, which makes it steeper than function g​

Answers

Answer:

B. Function g has slope 3 which makes it steeper

Step-by-step explanation:

Answer:

its B 100% but on plato its C

Step-by-step explanation:

For what value of x is angle ABC isosceles?

Answers

Answer:
x=4
Explanation:
In order for the triangle to be isosceles the 2 sides must be equal. Therefore we can set up an equation:
5x-6=3x+2
2x=8
x=4
I hope this helped

Can someone help me with this one

Answers

Answer:

A

Step-by-step explanation:

I think because I just had this similar problem if I'm wrong I'm sorry not a 100%sure just trying to help

Select the statements that is SOMETIMES TRUE.

a. A parallelogram has congruent diagonals.
b. A rhombus is a parallelogram.
c. A parallelogram is a square.
d. A rectangle is a square.

Answers

Answer:

A and B

Step-by-step explanation:

Here, we want to select the statements that are sometimes true

The correct answers are that;

1. A parallelogram has congruent diagonals

This is in the case of a rectangle

Whenever we have the diagonals of a parallelogram equal, then what we have is a rhombus

b. A rhombus is a parallelogram

In this case, we have that a rhombus is a kind of parallelogram with all four sides equal and the diagonal meet at 90 degrees

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3e−x, y = 3, x = 4; about y = 6

Answers

Answer:

I've been working on with the area of the region in my calc II class, and now have to deal with the volume.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y=749√2,y=0,x=2,x=3

Step-by-step explanation:

For what value of k does kx + 7y = 10 have a slope of 3?

Answers

Answer:

k = -21

Step-by-step explanation:

Slope y-intercept form : y = mx +c

kx + 7y = 10

        7y = -kx + 10

          y = [tex]\frac{-k}{7}x+\frac{10}{7}[/tex]

[tex]\frac{-k}{7}=3\\\\ -k = 3*7\\\\ -k = 21\\\\ k = -21[/tex]

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_________________________________

Hint :

[tex]slope = The \: \: coefficient \: \: of \: \: x \: \: in \: \: the \: \: slope-intercept \: \: form \\ [/tex]

_________________________________

Thus we need to find the slope-intercept form of the line which must be like this :

[tex]y = ax + b[/tex]

Let's do it...

[tex]7y + kx = 10[/tex]

Subtract sides kx

[tex]7y + kx - kx = 10 - kx[/tex]

[tex]7y = 10 - kx[/tex]

[tex] 7y = - kx + 10[/tex]

Divide sides by 7

[tex] \frac{7y}{7} = \frac{ - kx + 10}{7} \\ [/tex]

[tex]y = \frac{ - kx}{7} + \frac{10}{7} \\ [/tex]

[tex]y = - \frac{k}{7} x + \frac{10}{7} \\ [/tex]

This is the slope-intercept form .

[tex]The \: \: coefficient \: \: of \: \: x = - \frac{k}{7} \\ [/tex]

The slope is 3 ,

Thus :

[tex] - \frac{k}{7} = 3 \\ [/tex]

Multiply sides by 7

[tex]7 \times ( - \frac{k}{7}) = 7 \times 3 \\ [/tex]

[tex] - k = 21[/tex]

Multiply sides by - 1

[tex] ( - 1) \times ( - k) = ( - 1) \times (21)[/tex]

[tex]k = - 21[/tex]

And we're done....

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which group of numbers is ordered from greatest to least?​

Answers

Answer:

Step-by-step explanation:

Hope this helps

PLZZ MARK BRAINLIEST

Answer:

if its up and down, I'm pretty sure it's D.

Question 5 (6 points)
Mrs. Phillips is grading the semester exams for her Advanced Algebra course. She wants a visual representation of how the grades are spread
throughout the class. It would also be helpful to know where the upper 25% of grades are located. Below is the box and whisker plot she
designed

Answers

Answer:

The median is close to 90, but there is most likely one student and up to 25 % of the class who did poorly on an exam that otherwise looks pretty easy

Step-by-step explanation:

Hope this helps you!

~ Isimpfortnpu

Solve x^2 – 3x = 18 by factoring.
a
{–6, 3}
b
{–9, 2}
c
{–3, 6}
d
{6}

Answers

Answer:

d

Step-by-step explanation:

x²-6x+3x-18=0

x(x-6)+3(x-6)=0

(x+3)(x-6)=0

x=-3 or 6

The height of an object thrown straight up from a height 5 feet above the ground is given by the equation h(t) =-16t^2 +42t +5, where is the time in seconds after the object is thrown. Find the average speed of the object from 1.5 to 2.25 seconds.

Answers

Answer:

The average speed of the object is 18.67 ft/s.

Step-by-step explanation:

Given;

height function, f(t) = -16t² + 42t + 5

The average speed is given by ;

[tex]v = \frac{dx}{dt} \\\\h(t) = -16t^2+42t+5\\\\h(1.5)= -16(1.5)^2 + 42(1.5)+5 = 32 \ ft\\\\[/tex]

from 1.5 s to 2.25 s = 0.75 s,

[tex]h(0.75)= -16(0.75)^2 + 42(0.75)+5 = 27.5 \ ft[/tex]

[tex]h(2.25)= 27.5 +(-16(2.25)^2 + 42(2.25)+5) \\\\h(2.25) = 27.5 + 18.5 = 46 \ ft[/tex]

The average speed is given by ;

[tex]v = \frac{h(2.25) - h(1.5)}{2.25-1.5}\\\\v = \frac{46-32}{0.75}\\\\v = 18.67 \ ft/s[/tex]

Therefore, the average speed of the object is 18.67 ft/s.

What is the slope of the line represented by the equation 3x + 4y
12?

Answers

Answer:

Are you looking for coordinates or a equation?

Step-by-step explanation:

Answer:

y=-3/4x+3

Step-by-step explanation:

3x+4y=12

-3. -3

4y=-3x+12 (I put the 3x first just so that it is already in slope intercept form)

4y/4=-3x/4+12/4

y=-3/4x+3

Problem Solving Method
Problem to solve
Alexis had 98 trading cards last Saturday.
(o
She gave a dozen to her little brother but her big brother gave her a pair.
Alexis traded 9 more cards for 4 new ones that were more valuable.
She then traded another half dozen for 1 that she had been hoping to find.
Alexis wants to get a card album for her birthday so she can organize all her cards.
Yesterday she was running home with all of her cards in her bag. She dropped two of her
cards along the way because the bag was not zipped.
How many cards did she have when she got home?
What is the first thing that you would do to solve this problem?
Caluina Stan

Answers

Answer:

76 cards

Step-by-step explanation:

First you would take 96-12 to get 84. Then, take 84+ 2-9 to get 79. Then take 79 +4-6 to get 77.then take 77+1-2 to get 76 cards.

Simplify
23 + 4.8
Plz help

Answers

Answer:

40

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

the answer is 40.. the second one

Step-by-step explanation:

PEMDAS

Exponents first

2^3 = 2*2*2 = 8

Next up, Multiplication 4*8=32

Last but not least,  addition

Add 32+8

and your final answer is 40!

Catherine graphed point P on the coordinate grid. She will graph point Q at a location that is 4 units left and 3 units up from point P.

which ordered pair could represent the location of point Q?​

Answers

The answer to your question is (4,1)

yes or no
if yes pls tell me what the unit rate is
I WILL MARK U BRAINLIEST
(attachment)

Answers

Answer:

Yes, and the unit rate is 1:48

Step-by-step explanation:

If you start by dividing 204 by 4.25, you will see you get an answer of 48. Now if you move on to the next row, and divide 252 by 5.25, you also get 48. If you do the same with the last two rows, you get 48 for both. This shows that the unit rate is 1:48.

In the United States, which level of government has the highest authority?

STATE
COUNTY
CITY
NATIONAL

Answers

It's the federal government
B I hope it helpssss

Help for a cookie!:D

Answers

Answer:

0.305

0.097

Step-by-step explanation:

…..………....

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