3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.

3.The Grade-point Averages Of 20 College Seniors Selected At Random From A Graduating Class Are As Follows:3.2,

Answers

Answer 1

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

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Related Questions

6x +16 >=51 kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

5.83333333

Step-by-step explanation:

6x + 16 = 51 (If that is what you actually intended to put)

6x + 16 - 16 = 51 -16

6x/6 = 35/6

x=5.83333333

A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is ý = 5.0 + 1.2x where y is the
predicted number of points scored and x is the number
of shots taken
In one game, a team takes 50 shots and scores 75
points. What is the residual for this team during this
game?
D-33
4 5
10
65

Answers

Answer:

its 10 :)

Step-by-step explanation:

Number of points scored in a basketball game is related to the number number of shots taken during the game as below:

According to question

X=number of shots taken

Y=number of points scored

Given,

X=50

Y=75

As relation given,

Y=5.0+1.2×X

When x is 50 Y= 5+1.2×50=65

∴The residual score for his team during the game is= 75-65

                                                                                      ⇒10  

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Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question

Answers

Answer:

45

Step-by-step explanation:

The conjugate of the given is:

( - 6 - 3i)

Find their product:

(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45

How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?

Answers

Step-by-step explanation:

we need to see how many cubes fit into every dimension.

we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.

we can fit 15 cubes along the 3 3/4 in length :

3 3/4 = 12/4 + 3/4 = 15/4

15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15

we can put 6 cubes on top of each other fit the height of 1 1/2 in

1 1/2 = 2/2 + 1/2 = 3/2 = 6/4

6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).

so, we have

4 × 15 × 6 = 360

we need 360 cubes to fill the box.

8 to the 2 power-28/4+2?

Answers

Answer:

59

Step-by-step explanation:

hope it helps brainliest pls

6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?

Answers

Answer:

54mile equal to 81km

8mile equal to 12km

Which of the following points lies on the line 2x+3y=5?
A. (2,3)
B. (2,1)
C. (-2,3)
D. (-2,0)

Answers

Answer:

B(2,1). And C(-2,3)

Step-by-step explanation:

Tbh, you can just plug the numbers into the original equation :2x+3y=5

A.2x2+3x3=13 ≠5

B.2x2+3x1=5=5

C.-2x2+3x3=5=5

D.-2x2+3x0=-4≠5

So the answer is B and C lies on the line

Perimeter of piecewise rectangular figure. Please help.

Answers

Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

HELPPPPP please its worth 50

Answers

[tex](3 {m}^{6} {n}^{2} ) ^{3} .2m {n}^{4} \\ = {3}^{3} {m}^{6 \times 3} {n}^{2 \times 3} \times 2 m{n}^{4} \\ = 27 {m}^{18} {n}^{6} \times 2m {n}^{4} \\ = (27 \times 2) {m}^{18 + 1} {n}^{6 + 4} \\ = 54 {m}^{19} {n}^{10} [/tex]

Answer:

[tex]54 {m}^{19} {n}^{10} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Solution given:

[tex]\bold{(3m^6n²)³.2mn⁴}[/tex]

distribute power

[tex]3³m^{6*3}n^{2*3}.2mn⁴[/tex]

[tex]27m^{18}n^6.2mn⁴[/tex]

multiply like terms and add or subtract power in multiplication

[tex]27*2.m^{18+1}n^{6+4}[/tex]

[tex]\large{\bold{54m^{18}n^{10}}}[/tex] is a required answer

22. PLEASE HELP PLEASSSSSSEEEEEEEE

Answers

Answer:

me too i need help its in my HW and exam

Step-by-step explanation:

Two researchers, Justin and Henry, work together to study what proportion of subjects have a certain genotype in the population. They each collect a simple random sample and they find that the sample proportion is 0.70. When they construct a confidence interval based on this sample proportion, Henry comes up with (0.632, 0.768) while Justin gets (0.652, 0.788). Indicate which interval has to be wrong and why.

Answers

Using confidence interval concepts, it is found that Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.

A confidence interval has two bounds, a lower bound and an upper bound. A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds. The margin of error is the difference between the two bounds, divided by 2.

In this problem, the point estimate is of 0.7.

Henry's interval is symmetric, as [tex]0.768 - 0.7 = 0.7 - 0.632[/tex].Justin's is not, as [tex]0.788 - 0.7 \neq 0.7 - 0.652[/tex].

Hence, Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.

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heleppppppppppppp
plssssssssssssssss

Answers

Answer:

21

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)

I understand if this a little difficult to understand and i sincerely apologize for that..

Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks

Answers

Answer:

30w+200=1000

Step-by-step explanation:

write the equation of the line that passes through the points ( 1, -1) and (0, 5)

Answers

Answer:

y=-6x+5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(0-1)

m=(5+1)/-1

m=6/-1

m=-6

y-y1=m(x-x1)

y-(-1)=-6(x-1)

y+1=-6(x-1)

y=-6x+6-1

y=-6x+5

explain how you your answer

Answers

Answer:

1.43 = x

Step-by-step explanation:

Math in the picture attached. Hope it helps!

Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. Group of answer choices 0.582 < p < 0.744 0.548 < p < 0.778 0.536 < p < 0.790 0.566 < p < 0.760

Answers

A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

The formula for calculating the confidence interval is expressed as;

[tex]CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }[/tex]

p is the proportion = 61/92 = 0.66n is the sample size = 92z is the z-score at 90% = 1.645

Substitute the given parameters into the formula to have:

[tex]CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)[/tex]

Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

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3 bags of dog food cost ​$6.75 How much would they spend on 2 bags of dog ​food?

Answers

Answer:

$4.50 for 2 bags of dog food

Step-by-step explanation:

To find the cost of 2 bags of dog food, we first need to divide $6.75, the cost of 3 bags, by 3, to find the cost of one.

$6.75 / 3 = $2.25

Now that we know the cost of one bag, we can multiply the cost by two to find the cost of 2 bags.

$2.25 * 2 = $4.50

$4.50 for 2 bags of dog food

In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days

Answers

Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5

The average tapes used in those 3 days was:

= (35 + 60 + 25) / 3

= 120 / 3

= 40 tapes

The total number of tapes that can be used are:

= 50 + 50 per rack

= 100 tapes

The fraction of the average is:

= 40 / 100

In the lowest term this is:

= 2 / 5

In conclusion, the fraction is 2/5

Find out more about fractions at https://brainly.com/question/233783.

Find the value of x in the figure below

Answers

Answer:

37

Step-by-step explanation:

Both the x and the 53 add up to 90 so you subtract 53 from 90 and you get 37

1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
A. About 80
B. About 100
Those are the choices. 80 is not enough and 100 is too many. 90 or 96R8 not there. Ugh.

Answers

100
If you round 1256 to 1300 and then divide it by 13 you get about 100

Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS

Answers

Answer:

b part 20 t or i think c part 2t +6

It’s D I used quick math

A tree casts a shadow of 69.53 feet. A 5 feet pole casts a shadow of 8.97 feet. Find
the height of the tree.

Answers

Answer:

The height of the tree is 38.76.

Step-by-step explanation:

[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]

x= [tex]\frac{69.53x5}{8.97}[/tex]

69.53x5= 347.65

347.65  8.97= 38.75696767

round the number (38.76)

Hope this helps

sorry if its wrong

Sin2A+Sin2B÷Sin2A-Sin2B=Tan(A+B)÷Tan(A-B) Prove that​

Answers

Take L.H.S sin2A+sin2B/sin2A-sin2B

= sin2A+sin2B/sin2A-sin2B

Put

[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]

[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]

= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)

= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)

= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)

= tan(A+B).cot(A-B)

= tan(A+B).1/tan(A-B)

= tan(A+B)/tan(A-B)

∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)

The functions r and s are defined as follows.
r(x) = - 2x-1
s(x)=x2-1
=
Find the value of r(s (3)).

Answers

Answer:

r o s(3)=?

s(x)= x²-1

x=3

s(3)= 3²-1

s(3)= 9-1

s(3)=8

r(8)

r(x)= -2x-1

x=8

r(8)= -16-1

r(8)= -17

r(s(3))= -17

There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?

Answers

Answer:

• For this one we need to split this problem into two equations:

• a (adults) + c (children) = 560

• 2a + c = $860

• Then we substitute 560 - a for c in the second equation.

2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265

• Then we plug this into the first equation:

265 + c = 560

c = 295

Step-by-step explanation:

I hope this helps you !!

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?

Answers

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

1
If f(x) = -3x-2, find f(-7)

Answers

Answer:

19

Step-by-step explanation:

f(x)= -3x-2

f(-7)= -3(-7)-2

     = 21 - 2

     = 19

hope this helps! :D

In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY? ​

Answers

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

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6
0 0 0
TIME RE
44
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?

Answers

Answer:

112.81 miles

Step-by-step explanation:

304.6 divided by 2.7

Part B: If Andrew drives 6 more hours at the same rate, what is the total number of miles traveled for the trip?

Answers

I can only answer that if I have part a
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