Use the probability distribution to complete parts (a) and (b) below.
The number of school-related extracurricular activities per student
Activities 0 1 2 3 4 5 6 7
Probability 0.059 0.121 0.164 0.179 0.212 0.127 0.086 0.052
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is 3.3
(Round to one decimal place as needed.)
The variance is
(Round to one decimal place as needed.)

Answers

Answer 1

this could take a while to think about but uhh i dont know,

Answer 2

The variance of the probability distribution is 3.4.

To find the variance of the probability distribution, calculate the following:

1. The squared deviation of each activity value from the mean.

2. The product of each squared deviation and its corresponding probability.

3. The sum of these products.

1. Calculate the squared deviation of each activity value from the mean (3.3):

[tex]\[ (0 - 3.3)^2 = 3.3^2 = 10.89 \]\\[/tex]

[tex]\[ (1 - 3.3)^2 = (-2.3)^2 = 5.29 \][/tex]

[tex]\[ (2 - 3.3)^2 = (-1.3)^2 = 1.69 \][/tex]

[tex]\[ (3 - 3.3)^2 = (-0.3)^2 = 0.09 \][/tex]

[tex]\[ (4 - 3.3)^2 = (0.7)^2 = 0.49 \][/tex]

[tex]\[ (5 - 3.3)^2 = (1.7)^2 = 2.89 \][/tex]

[tex]\[ (6 - 3.3)^2 = (2.7)^2 = 7.29 \][/tex]

[tex]\[ (7 - 3.3)^2 = (3.7)^2 = 13.69 \][/tex]

2. the product of each squared deviation and its corresponding probability:

[tex]\[ 0.059 \times 10.89 = 0.64351 \][/tex]

[tex]\[ 0.121 \times 5.29 = 0.63909 \][/tex]

[tex]\[ 0.164 \times 1.69 = 0.27716 \][/tex]

[tex]\[ 0.179 \times 0.09 = 0.01611 \][/tex]

[tex]\[ 0.212 \times 0.49 = 0.10388 \][/tex]

[tex]\[ 0.127 \times 2.89 = 0.36703 \][/tex]

[tex]\[ 0.086 \times 7.29 = 0.62814 \][/tex]

[tex]\[ 0.052 \times 13.69 = 0.71188 \][/tex]

3. Sum up these products to get the variance:

[tex]\[ \text{Variance} = 0.64351 + 0.63909 + 0.27716 + 0.01611 + 0.10388 + 0.36703 + 0.62814 + 0.71188[/tex]

              = [tex]3.38680 \][/tex]

              =3.4

So, the variance is 3.4.

Learn more about variance here:

https://brainly.com/question/29253308

#SPJ4


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Answer:

additive identity property (a)

Step-by-step explanation:

the answer to this question would be A, i’ve done this before.

Help me, please!! I have other math questions up if you guys could help with that too!

Find the value of x and y.

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Answer:

x=25, y=19

Step-by-step explanation:

130+2x=180

x=25

54+2x+4y=180

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Answer:

x = 25 , y = 19

Step-by-step explanation:

130° and 2x° are adjacent angles on a straight line and sum to 180° , so

130 + 2x = 180 ( subtract 130 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

--------------------------------------------------------------

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

130° is an exterior angle of the triangle , then

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30 points reward just answer plsss​

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D and then C because parentheses then multiply and divide then add and subtract
D and C. D because PEMDAS IS PARENTHESIS EXPONENTS MULITPLICATION DIVISON ADDITION AND SUBTRACTION. Sorry all caps

100 POINTS & BRAINLIEST!!

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Answer:

The answer is A

Step-by-step explanation:

Answer:

option A is the right answer correct me if im wrong

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Answer:

77

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whoever solves correctly gets brainliest The number of miles will be x. Next, we’ll have the inequality 8x+2<=10 then we will solve the inequality 8x+2-2<=10-2 and simplify 8x<=8. divide 8 both sides x<=1


4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Answers

Answer:

Step-by-step explanation:

2. On the graph below you will find two different triangles, and three points identified along the line.
(a) Identify the coordinates of Point A, B, & C? Explain.
(b) Does each triangle have the same change in x-values? Explain.
(c) Does each triangle have the same change in y-values? Explain.
(d) Does each triangle have the same ratio of change in y-values over change in x-values? Explain.

Answers

#a

Co-ordinates are

A(0,0)B(3,3)C(9,6)

#b

No,Both triangles are congruent not same.

#c

No! Both triangles are not same

#d

Yes ratio is same as they are congruent

Answer:

Question A:

A.) (0,0)

B.) (3,3)

C.) (9,6)

Question B:

No, both triangles are congruent, not the same change in x-values.

Question C:

No, both triangles do not have are not the same change in y-values.

Question D:

Yes, their ratios of change are the same.

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Answers

Answer:

2

Step-by-step explanation:

3x + 7=15 -x

4x= 8

x= 2

3*2 + 7 = 15-2

The teacher-student ratio at Dunn Middle School is 1 to 23. If there are 966 students, how many
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Answers

Answer:

42 teachers

Explanation:

Teacher to student ratio is 1:23

If there are 966 students, then divide by 23 to get how many teachers their are.

966/23=42

Which of the following shapes is not a parallelogram? Trapezoid Square Rectangle

Answers

Answer: Trapezoid

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Answer:it's trapezoid i got a 100%

Step-by-step explanation:

i hope i not fail this test someone help

Answers

Answer:

the answer to your question is pie

Answer:

A: is irrational number

B: is rational number

C: is irrational number

D: as a natural or whole number, including 9, can also be written as a fraction p1 they are all rational number. hence 9 is a rational number

so D is the the answer

5x - 9 = 3x + 3 what is x

Answers

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Then solve

x

=

6

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.

What is the x-intercept of the line with this equation 8x1/3y=16

Answers

8x - ¹/₃y = 16

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     8x - 0 = 16

          8x = 16

           8      8

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Answers

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Given the system of equation expressed as:

3x + y = 3

x - 2y = 4

Solve simultaneosly;

3x + y = 3 ............. 1 * 1

x - 2y = 4 ...............2 * 3

_________________________

3x + y = 3

3x - 6y = 12

Subtract

y-(6y) = 3 - 12

7y = -9

y = -9/7

Substitute y = -9/7 into the equation to get x

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x - 2(-9/7) = 4

x + 18/7 = 4

x = 4 -  18/7

x = 3/7

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

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Josh was driving on a road that had a 30 mi/h speed limit posted. A deer jumped out from the side of the road, causing him to slam on the brakes. His tires left 71 ft skid marks. The road had a drag factor of 0.78. His brakes were operating at 95% efficiency. Should Josh get a ticket for speeding?

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Step-by-step explanation:

please mark brainlyest

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Answer:

Exponent - "a quantity representing the power to which a given number or expression is to be raised"

Base - "The number that gets multiplied when using exponents"

Power - "The number of times you use the number in multiplication"

Expanded Form - "A way to write a number by adding the value of its digits"

Standard form - "A way of writing down very large or very small numbers easily."

Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"

Question 20 of 40
Anna thinks of a number. She subtracts 5 from the number, multiplies the
result by 2, and then adds 6. The number she ends up with is 14. What
number did Anna start with?
If you work backward to solve this problem, what do you do first?
A. Divide 14 by 2
OB. Add 5 to 14
C. Subtract 5 from 14
D. Subtract 6 from 14
What’s the first steps when doing it backwards ?

Answers

Answer:

2(x-5)+6=14 is your starting equation, and then we solve:

2(x-5)+6=14

2(x-5)/2 +6=14/2

x-5+6=7

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Answers

the answer would be 3


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Answers

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For each set of three measures, determine if they can be angle measures of a triangle.

Answers

Answer:

NO

NO

YES

NO

Step-by-step explanation:

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The sum of the fourth one is more than 180°

-Chetan K

HELP ASAP!!! 100 POINTS!! BRAINLIEST TOO!

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Answers

25.50

Hope this helped you- have a good day bro cya)

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Answers

The equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3

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m = -5/2 and (x0, y0) =(-4, 7)

Substitute the given coordinates into the formula above;

y  - 7 = -5/2(x + 4)

2(y-7) = -5(x+4)

2y-14 = -5x - 20

2y = -5x - 20  + 14

2y = -5x - 6

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Step-by-step explanation:

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Answers

Answer:

by + ax + c = 0

              -c   -c

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Step-by-step explanation:

There were no numbers so I substituted them for letters :)

Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of the ham per pound?
$5.74

Answers

Answer:

$6.99

Step-by-step explanation:

add the number of pounds to gwet the total number of pounds

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divide

41.94/6

$6.99 per pound

Hope this helps!

In the equation 3x + 2x + 7 = 6x, what are the like terms?

Answers

Answer:

3x , 2x and 6x are like terms!!

Answer:

The like terms are 3x. 2x. 6x because they both have the x statement

Step-by-step explanation:

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Answers

4 cubic centimeters.

Brainliest would be great. Comment below if it helped!

Answer:

The volume for this object is 4.

Step-by-step explanation:

For each block, we need to multiply using the volume formula which is

Length x Width x Height

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, Hope this helps :)

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Answers

the answer is C

V=Sh
S=pi*r*r=16pi
h=6
V=16pi*6=96pi
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