Mathematics College

Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X

Answers

Answer 1

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

Related Questions

Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.

Answers

Step-by-step explanation:

Commutative property of addition is a+b=b+a

7+2=9 , 2+7=9

9=9

So, commutative property is true for addition

2-7=-5 , 7-2=5

-5 is not equal to 5

Commutative property does not apply to subtraction

45.52
The attendance at a seminar in year 1 was 500. In Year 2, the attendance changed by 100. What was the percent chang
in attendance?
O The percent change was 0.2%.
O The percent change was 0.4%.
O The percent change was 20%.
O The percent change was 40%.
Save and Exit
Next
Submit
Marke this and tu

Answers

Answer:

20%

Step-by-step explanation:

[tex]percent change = \frac{difference}{original value} * 100[/tex]

[tex]= \frac{100}{500} * 100\\= 20[/tex]

To show that the triangles are congruent, triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZY
a rotation of 180° clockwise about the origin followed by a dilation of 1.2 with the center of dilation at the origin
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
a rotation of 270° clockwise about the origin followed by translations left 1 unit and up 10 units
a reflection over the x-axis followed by a reflection over the y-axis

Answers

Answer:

a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units

Step-by-step explanation:

Rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

We have to show that triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZ.

Rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

So if triangle ABC is rotated about 90 degrees clockwise about the origin followed by translated down 1 unit and left 10 units we get XYZ.

Hence, rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.

Answers

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

Factorise 6x squares minus 14x

Answers

This can be done by find its roots. Knowing its roots, you'll be able to factor your equation, as follows:
First, let's solve this using Bhaskara:
−
14
±
√
14
2
−
4
(
6
)
(
−
12
)
2
⋅
6

−
14
±
22
12
Roots:
x
=
−
3
, which is the same as the factor
x
+
3
=
0

x
=
2
3
, which is the same as the factor
3
x
−
2
=
0
Using these factors, we can rewrite the original function:
6
x
2
+
14
x
−
12
=
2
(
3
x
2
+
7
x
−
6
)
=
2
(
x
+
3
)
(
3
x
−
2
)

ANSWER: Factor
2
x
2
x
out of
6
x
2
6
x
2
.
2
x
(
3
x
)
+
14
x
2
x
(
3
x
)
+
14
x
Factor
2
x
2
x
out of
14
x
14
x
.
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
Factor
2
x
2
x
out of
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
.
2
x
(
3
x
+
7
)

Which measure is equivalent to 126 in.?

1 ft = 12 in.

1 yd = 3 ft

Answers

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10

Answers

Answer:

Step-by-step explanation:

Commutative property means to add in a different order.

Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let

x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise

Required:
Using the decision variables x4 and s4, write a constraint that sets next week.

Answers

Answer:

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is

[tex]x_4 \le W_4 * s_4[/tex]

[tex]x_4 \le 5000 * s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is

[tex]x_6 \le W_6 * s_6[/tex]

[tex]x_6 \le 8,000 * s_6[/tex]

Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is

[tex]x_4 \le W_4 * s_6[/tex]

=> [tex]x_4 \le 5000 * s_6[/tex]

[tex]x_4 \le W_6 * s_4[/tex]

=> [tex]x_4 \le 8000 * s_4[/tex]

[tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is

[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

Step-by-step explanation:

The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]

The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]

The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]

The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]

The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]

The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is

[tex]x_4 \le W_4 * s_4[/tex]

[tex]x_4 \le 5000 * s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is

[tex]x_6 \le W_6 * s_6[/tex]

[tex]x_6 \le 8,000 * s_6[/tex]

Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is

[tex]x_4 \le W_4 * s_6[/tex]

=> [tex]x_4 \le 5000 * s_6[/tex]

[tex]x_4 \le W_6 * s_4[/tex]

=> [tex]x_4 \le 8000 * s_4[/tex]

[tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is

[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

Answers

Answer:

I think its 3/2

hope it will help you

What is the y intercept of the line in the graph shown?

The equation of the line is y=__x__

!! QUICK WILL MARK BRAINLIEST !!

Answers

Y=1x -2, the y intercept is -2

y=x-2

the slope is 1, it goes up and to the right by 1 unit, and the y intercept is -2.

Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?

15x > 8(x + 25)

15x > 8x + 25

15x > 8 + 25x

15x < 8x + 25

Answers

Answer: 15x > 8(x + 25)

that is what i think i am not very good a math sorry

Step-by-step explanation:

Answer:

15x > 8(x + 25)

Step-by-step explanation:

I think this is the answer

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.

Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total

Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.

Answers

Answer:

dont know..................

9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)

Answers

Neither: the slope for KM=7, and the slope for ST= 1

Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.

Answers

Answer:

8:12

Step-by-step explanation:

It's a ratio!

How many red is there? 8!

How many blue is there? 12!

So red to blue is 8:12!

Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).

Step-by-step explanation: it is the answer edmentum gave me

The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55

Answers

Answer:

[tex]P(X = 5) = 0.166[/tex]

Step-by-step explanation:

Given

[tex]Mean = 4.3[/tex]

[tex]x = 5[/tex]

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

Where

[tex]\alpha[/tex] is used to represent the mean

and

[tex]\alpha = 4.3[/tex]

[tex]x = 5[/tex]

[tex]e = 2.71828[/tex] ---- Euler's constant

So, we have:

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]

[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]

[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]

[tex]P(X = 5) = 0.1662248752[/tex]

[tex]P(X = 5) = 0.166[/tex] Approximated

SOMEONE PLEASE PLEASE HELP!!!!

Answers

Answer:

49[tex]\sqrt{21}[/tex]

Step-by-step explanation:

You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well

Answer: 49 √3 or 84.87049

Step-by-step explanation:

choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4

y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7

Answers

Answer:

y = 4x +11

Step-by-step explanation:

[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]

Substitute values into point slope form

[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]

Collect like terms and simplify

[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]

Answer:

y=4x + 11

Step-by-step explanation:

y = mx + b

y = 4x + b

-1= 4(-3) + b

b= 11

y= 4x + 11

What are the domain and range of f (x)= -27

Answers

Answer:

Domain: (-∞,∞)

Range: {−27}

7 x7 dived by 5 plz helppppvme

Answers

Answer:

Step 1) 7*7 = 49

Step 2) 49/5 = 9.8

Answer:

Step-by-step explanation:

7x7=49, 49 divided by 5=9.8, hope I helped! :P

How do you determine the absolute maximum and minimum values of a continuous function on a closed interval?

Answers

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).

A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?

Answers

Answer: 30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

What are the partial products that result from multiplying 15 x 32? (____ x ____) + (____ x ___) + (____ x ____) + (____ x ____)

Answers

Dividing both into this (15 x 32) below.

15=10+5

32=30+2 and both of the equations will give you the result of 4 partial products.

10x30=300

5x30=150

10x2=20

5x2=10

now? A)12 years b] 15 years
c] 194 years d] 21 years
472) The ratio of
heir age arier
471) Ratio of Aashok's age to sandeep's age is 4:3. Ashok will be 26 years old after 6 years. How old is Sandeep

Answers

Answer:

Sandeep would be 15 years old.

Step-by-step explanation:

If Ashok is 26 in 6 years he is 20. We need to simplify 20 to 4.

20/4 = 5

So that means Sandeep’s age would be 5 x 3

5 x 3 = 15

20:15 simplified is 4:3

y=-4/5x-5..........................,........

Answers

Answer:

what is the question exactly?

Step-by-step explanation:

you just gave me an equation to work with

Sixteen years after purchasing shares in a mutual fund for $6200, the shares are sold for $11,000. The the total return is %.

Answers

9514 1404 393

Answer:

77.42%

Step-by-step explanation:

The increase in value is ...

(11000/6200 -1) × 100% ≈ 77.42%

With the money she had saved by working, Jennifer wanted

Answers

Answer:a car

Step-by-step explanation:

Find the cost price. selling price 6097 loss percent=9%

Answers

Answer:

6645.73

Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73

6645.73 I think................

Help APSPPP!!!!!!!!!!!!

Answers

Answer:

ok what u need help with

Step-by-step explanation:

A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not
defective?

Answers

Answer:

ur nan

Step-by-step explanation:

5 2/5 is ___ 3 1/2, is it greater than or less than

Answers

Answer:

5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2

Step-by-step explanation:

Answer:

I believe that 5 2/5 is greater than 3 1/2

Other Questions