Find the mean and standard deviation. Show all work. 1. X 0 1 2 3 4 P(x) .07 .38 .22 .13

Answers

Answer 1

Answer:

Mean = 2.14

Standard deviation = 2.40

Step-by-step explanation:

The calculation of mean and standard deviation is shown below:-

[tex]X = .07\times0 + 0.20\times 1 + 0.38\times 2 + 0.22\times 3 + 0.13\times 4\\\\ = 0 + 0.2 + 0.76 + 0.66 + 0.52[/tex]

= 2.14

So, the mean is 2.14

Now, For computing the standard deviation first we need to find out the variance which is shown below:-

Variance is

[tex]Var(X) = P(X^2) - [P(X)]^2\\\\ P(X^2) = .07\times (0^2) + .20\times (0^1) + .38\times (0^2) + .22\times (0^3) +0.13\times (0^4)[/tex]

After solving the above equation we will get

= 5.78

Now, the standard deviation is [tex]= \sqrt{Variance}[/tex]

[tex]= \sqrt{5.78}[/tex]

= 2.404163056

or

= 2.40


Related Questions

Simplify 6c + 4d - c -7d

Answers

Answer:5c-3d

Step-by-step explanation: Collect the like terms such as 6c ,-c and 4d,-7d

Answer:

5c - 3d

Step-by-step explanation:

6c + 4d - c - 7d

Group like terms

6c - c + 4d - 7d

Add similar elements : 6c - c = 5c

5c + 4d - 7d

Add similar elements : 4d - 7d = - 3d

5c - 3d

I hope this helps

Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 2x
2x + 3y = 16
O A. 8x= 16
OB. 5x = 16
O C. 4x= 16
O D. 5y = 16

Answers

the answer is A
since 2x+3(2x)=16
Hence 8x=16

Answer:A

Step-by-step explanation:

BIG BRAIN

At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?

Answers

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

Hurry I need it now!
(04.01 MC)

Quadrilateral ABCD has coordinates. MA (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is?

Answers

Answer:

c

Step-by-step explanation:

i just took a test

find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3​

Answers

Answer:

GH = 9 units

Step-by-step explanation:

Given HI = 4b - 5 and HI 3, then

4b - 5 = 3 ( add 5 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Thus

GI = 5b + 2 = 5(2) + 2 = 10 + 2 = 12

GH = GI - HI = 12 - 3 = 9

Please Answer its timed The dimensions of a rectangle are represented by the functions shown. g(x)+3x-4 f(x)=2x-9 Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36

Answers

Answer:

[tex]\boxed{6x^2-35x+36}[/tex]

Step-by-step explanation:

The dimensions of the rectangle are represented by functions:

[tex]g(x)=3x-4 \\f(x)=2x-9[/tex]

The area is length × width of a rectangle.

[tex]length \times width[/tex]

[tex](3x-4)(2x-9)[/tex]

Expand brackets and solve.

[tex]6x^2-27x-8x+36[/tex]

[tex]6x^2-35x+36[/tex]

Answer:

6x squared - 35x + 36

Step-by-step explanation:

When you multiply the two functions together, this is what you get.

HELP ME ASAP! BRAINLIEST UP FOR GRABS

Answers

Answer:

-5 ≤ x≤ 3

Step-by-step explanation:

The domain is the values for x

x starts and -5 and includes -5 since the circle is closed

and goes to 3 and  includes 3 since the circle is closed

-5 ≤ x≤ 3

Answer:

first option

Step-by-step explanation:

The domain are the values from the x- axis that can be input into the function.

The closed circles at the ends of the graph indicate that x can equal these values.

left side value of x = - 5 and right hand value of x = 3, thus

domain is - 5 ≤ x ≤ 3

Plz help if you have time too

Answers

Answer:

SL = KR

Step-by-step explanation:

We're given two different lengths, both of which are on other sides of KL. Now, since these two givens are congruent, and we're overlapping it over a new line, the lines SL and KR are going to be congruent.

Um estudante fez algumas provas em seu curso e obteve as notas 13, 34, 45, 26, 19, 27, 50, 63, 81,76, 52, 86, 92 e 98 a sua nota média é:

Answers

Answer:

the mean is 54.428571428571<-------( what i think you are looking for )

the median is 51

the modes are 13, 19, 26, 27, 34, 45, 50, 52, 63, 76, 81, 86, 92, 98

Step-by-step explanation:

list all the numbers from greatest to least and the easiest way is to just cross them off left to right until you come up to one or two numbers. if one, that is your median. If two then add them up and divide them by two. We only had one, so the median is 51!

Hope this helped!

Answer:

53.14

Step-by-step explanation:

add all the numbers and divide it by 13

Two tangents. find x. angle measures and segment lengths. Acellus. PLEASE HELP!!!

Answers

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

HELP PLEASE !!!!
A
B
C
D
E
???​

Answers

Answer:

A is the answer

Step-by-step explanation:

first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain

Answer:

A

Step-by-step explanation:

Factorize.

(3m(2m² + n²)/(mn(2m² + n²))

Cancel common factor.

3m/mn

Simplify.

3/n

Multiply the polynomial

10. (3-2v)(2-5v)

11. (5x-4)(3x2+x-5)

Answers

Answer:

10) [tex]10v^2-19v+6[/tex]

11) [tex]15x^3-7x^2-29x+20[/tex]

Step-by-step explanation:

Well first let's make the box.

10)

Look at the image below ↓

[tex]10v^2-19v+6[/tex]

11)

Look at the image below ↓

[tex]15x^3-7x^2-29x+20[/tex]

Thus,

number 10 is [tex]10v^2-19v+6[/tex] and number 11 is [tex]15x^3-7x^2-29x+20[/tex].

Hope this helps :)

Manuel y Rosa, desean hacer un regalo a sus tíos por Fiestas patrias, para lo cual visitaron distintos centros comerciales donde venden artículos o herramientas de carpintería. En uno de ellos, observaron que una caja de herramientas les costaba 180 soles. Al no contar con ese monto, decidieron volver la primera semana de Julio, después de juntar sus ahorros. Pero se dieron cuenta que el precio se había incrementado en un 10% . Al faltarles dinero, decidieron volver la siguiente semana, en la que observan que el precio de la caja de herramientas se había incrementado en un 20% del precio que observaron en la primera semana de Julio. Ellos cuentan con 250 soles. Manuel dice: "el precio se ha incrementado en 35% del precio del precio inicial pero nos alcanza y nos sobra 7 soles" A lo que Rosa dice: " no se ha incrementado en un 35% pero sí nos sobrarían 5 soles?

Answers

Answer:

El incremento total con respecto al precio inicial es de 32% y Rosa tiene razón con respecto al porcentaje (no se incrementó 35%).

En cuanto al dinero que les sobra, ninguno de ellos está en lo correcto pues les sobran 12 soles.

Step-by-step explanation:

En un principio, la caja de herramientas costaba 180 soles.

Después de una semana el precio se incrementó 10%, el 10% de 180 soles es 18 por lo que la caja costaba 180 + 18 = 198 soles.

Ellos volvieron la siguiente semana y vieron que el precio se había incrementado un 20% con respecto a la semana anterior, el 20% de 198 es igual a 198 x 0.20 = 39.6 por lo que el precio ahora era de 198 + 39.6 = 237.6 soles.

Para saber el incremento total con respecto al precio inicial podemos hacer una proporción:

180 soles : 100

237.6 soles : x

Despejando x tenemos que:

[tex]x= \frac{237.6(100)}{180}=\frac{23760}{180}=132[/tex]

Por lo tanto, el incremento total con respecto al precio inicial es de 32% y Rosa tiene razón con respecto al porcentaje (no se incrementó 35%)

Sin embargo, ellos cuentan con 250 soles y la caja cuesta 237.6 ≈238 soles, por lo tanto, les alcanza y les sobran 250 - 238 = 12 soles.

What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction

Answers

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

Answer:

B.) 24/65

Step-by-step explanation:

Took the test

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Answers

Answer: (-1,3)

Step-by-step explanation:

Please can someone help me

Answers

Answer:

a. 25%

b. 55%

c. 35%

Hope it helps you and pls mark as brainliest : )

a - b
b - d :
children is a little over half so 55% and the other half is 50/2 = 25 but the men is more

Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.

Answers

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

Write the function in standard form.
Y=-4(x+2)(x+3)

Answers

Answer:

Below

Step-by-step explanation:

To write this function in the standard form simplify it.

● -4(x+2)(x+3)

● -4 (x^2+3x+2x+6)

●-4(x^2+5x+6)

●-4x^2-20x-24

Answer:

y = -4(x+2.5)²+1

Step-by-step explanation:

Standard form is given by f(x) = a(x-h)²+k, where (h,k) is the vertex. We are already given a = -4, and if we graph the equation given, we can see that the vertex is (-2.5, 1). So, we can set up the equation y = -4(x+2.5)²+1.

PLEASE SOMEONE HELP! Thanksss

Answers

Answer:

Ф=144

Ф =s/r ( Ф is the central angle,s is the arc length, r is the radius)

find r:

radius =circumference/2π=1/2π=0.16

Ф=(2/5) /(1/2π)=4π/5=144 degree (π=180)

Ф in degrees: 144 degrees

This a math question plz help asap with correct answer and explanation will give brainiest

Answers

Answer:

Hey there!

This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.

136/2=68, so each of the angles are  68 degrees.

Hope this helps :)

Answer:

C = 68

Step-by-step explanation:

Y = 22

Then A = 2y = 2*22 = 44

We know that A + B + C = 180

And B = C since the base angles of an isosceles triangle are the same

44 + C+C = 180

44+2C = 180

2C = 180-44

2C =136

C = 68

Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020

Answers

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

HELP!

Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?

Answers

Answer:

$5.70

Step-by-step explanation:

1. 25.00 - 2.20 = $22.80

2. 22.80 divided by 4 = $5.70

Answer:

$5.70

Step-by-step explanation:

let the price for each canvas be $x

hence the price of 4 canvases will be $4x

It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.

Hence we can assemble an equation:

$4x + $2.20 = $25

4x + 2.2 = 25   (subtract 2.2 from both sides)

4x = 25 - 2.2

4x =22.8  (divide both sides by 4)

x = 22.8 / 4

x = 5.7

Hence each canvas cost $5.70

WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))

Answers

Answer:

(A) No solution

(B) One solution

(C) One solution

(D) One solution

(E) No solution

Please tell me if this is incorrect. I hope this helps!

A city park contain garden paths ( about 10% ) a lake ( about 15% ) and tennis courts. If the park is 2.4 ha and the tennis courts occupy a rectangular plot 60cm by 50cm how many hectares are left for garden?

Answers

Answer:

As i understand it:

The total park is 2.4 ha

10% of that is paths and 15% of that is a lake.

So a 10% + 15% = 25% is taken.

So we have left a 75% of the park, this is:

Left = (75%/100%)2.4 ha = 0.75*2.4ha = 1.8 ha.

Now we also need to subtract the are of the tennis court.

The tennis court occupies a rectangular plot of 60m by 50m (you actually wrote cm here, but i guess it was a mistake, we can not have a tennis court of 60cm by 50cm)

So the area of the tennis court is:

A = 60m*50m = 3,000 m^2

But we want to write it in ha

We know that:

1ha = 10,000m^2

then 3,000m^2 = (3,000/10,000) ha = 0.3 ha

Then the left area is:

L = 1.8 ha - 0.3ha = 1.5 ha.

What is the value of s and what is the correct amount of units

Answers

Step-by-step explanation:

Here,

ABCD is rhombus,

AB=9s+29

CD =10s -18

now, AB=CD (opposite side of rhombus is parallel and equal)

or,9s +29=10s-18

or, 10s -9s= 29+18.

The value of s is 47.

Therefore, the measure of AB is 9×47+29.

=452.

Hope it helps...

(5in.)(8 in.)
--------------
2

Answers

Answer:

20

Step-by-step explanation:

(8 * 5) / 2

=> 40/2

=> 20

Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)

Answers

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

Which of the following is not an identity for tan (X/2)

Answers

Answer:

This question is about half-angle trigonometric identities, which are specific formulas that help us to solve problems with half-angles.

In this case, if you need a half-angle identity for the tangent, you could use

[tex]tan(\frac{x}{2} )=\frac{sin(x)}{1+cos(x)}[/tex]

[tex]tan(\frac{x}{2})=\frac{1-cos(x)}{sin(x)}[/tex]

[tex]tan(\frac{x}{2})=\sqrt{\frac{1-cos(x)}{1+cos(x)} }[/tex]

Therefore, the right identity must satisfy the expression above.

Answer:

In picture

Step-by-step explanation:

Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?

Answers

Answer:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

             ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                            PEACE!

helllpp pleaseee.....​

Answers

Answer:

I hope its your required answer because 9.2 is smaller than 9.5.

i hope it works...

best of luck....

Other Questions
True or false : In improper integrals infinte intervals mean that both of the integration limits are should be infinity In a story about high schoolers in love, which scene would most likely be theclimax?A. The two high schoolers meet and have a nervous chat.B. The two high schoolers eventually go to college together.C. The two high schoolers have an argument that ends badly.D. The two high schoolers express their love to each other. Which type of mutation occurs when the wrong base is used? A.There is no mutation. B. substitution C. insertion D. deletion What is the function rule that describes the pattern in the table halla la medida del lado de un cuadrado cuya diagonal es de 14 cm Live Fund are selling their holdings at $5,000 pershare. How much would Live Fund receive if they soldhalf their holdings in Marks Brothers?$2.48 million$4.68 million$6.8 millionO $42.6 million$46.8 million Psymon Company, Inc. sells construction equipment. The annual fiscal period ends on December 31. The following adjusted trial balance was created from the general ledger accounts on December 31:________. Account Titles Debits Credits Cash $ 45,190 Accounts Receivable 19,200 Inventory 69,500 Property and Equipment 53,000 Accumulated Depreciation $ 22,300 Liabilities 32,100 Common Stock 96,000 Retained Earnings, January 1 12,200 Sales Revenue 195,500 Sales Returns and Allowances 7,300 Sales Discounts 8,600 Cost of Goods Sold 105,200 Salaries and Wages Expense 18,200 Office Expense 19,200 Interest Expenses 2,300 Income Tax Expense 10,410 Totals $ 358,100 $ 358,100Prepare a multistep income statement that would be used for internal reporting purposes. Treat Sales Discounts and Sales Returns and Allowances as contra-revenue accounts. TIP: Some of the accounts listed will appear on the balance sheet rather than the income statement. Prepare a multistep income statement that would be used for external reporting purposes, beginning with the amount for Net Sales. Compute the gross profit percentage. Find the 9th term geometric sequence 1,1/2,1/2^2 Determine whether each of the following salts will form a solution that is acidic, basic, or pH-neutral. Drag the appropriate items to their respective bins. Reset Help AI(NO3)3 CH3NH3CN NaCIO CH3NH3CI NaNO3 Acidic Basic pH-neutral Submit Request Answer Provide Feedback What is the remainder in the synthetic division problem below?-2 1 2 -3 1O A. 11O B. 7O C. 9O D. 13 The Oriole Acres Inn is trying to determine its break-even point during its off-peak season. The inn has 50 rooms that it rents at $100 a night. Operating costs are as follows: Salaries $7,500 per month Utilities $1,500 per month Depreciation $1,300 per month Maintenance $1,760 per month Maid service $24 per room Other costs $46 per room Determine the inns break-even point in number of rented rooms per month. 4. Considera la funcin f(x) = 2*. Determina la funcin g(x) que se obtiene al trasladarf(x) a.tres unidades a la izquierda y dos unidades hacia arribab. cinco unidades a la derecha y cuatro unidades hacia abajo Kelly Woo, owner of Flower Mode, operates a local chain of floral shops. Each shop has its own delivery van. Instead of charging a flat delivery fee, Woo wants to set the delivery fee based on the distance driven to deliver the flowers. Woo wants to separate the fixed and variable portions of her van operating costs so that she has a better idea how delivery distance affects these costs. She has the following data from the past seven months:_______.LOADING...(Click the icon to view the data.) Use the high-low method to determineFlower Paradise's cost equation for van operating costs. Use your results to predict van operating costs at a volume of 15,000 miles.Let's begin by determining the formula that is used to calculate the variable cost (slope).Change in cost / Change in volume = Variable cost (slope)Now determine the formula that is used to calculate the fixed cost component.Total operating cost - Total variable cost = Fixed costUse the high-low method to determineFlower Paradise's operating cost equation. (Round the variable cost to the nearest cent and the fixed cost to the nearest whole dollar.)y = $x + $Enter any number in the edit fields and then click Check Answer.Data TableMonth Miles Driven Van Operating CostsJanuary. . . . . . . . . . . . . . . 15,500 $5,390February. . . . . . . . . . . . . . . 17,400 $5,280March. . . . . . . . . . . . . . . . . 15,400 $4,960April. . . . . . . . . . . . . . . . 16,300 $5,340May. . . . . . . . . . . . . . . . 16,500 $5,450June. . . . . . . . . . . . . . . . 15,200 $5,230July. . . . . . . . . . . . . . . . . . . 14,400 $4,680 y=8-2x. What is the value of y when x = 8? If the predetermined overhead allocation rate is 250% of direct labor cost and the Finishing Department's direct labor cost for the reporting period is $20,000, the following entry would record the allocation of overhead to the products processed in this department: Work in Process Inventory, Finishing Dept 50,000 Factory Overhead 50,000 a) True b) False Landfills are one source of CO2. As garbage decomposes, it releases CO2 into the air. Can you think of at leastone way that humans can reduce the amount of trash they dump in landfills? when a child is born with down syndrome when did the mutation occur Given the wavelength of the corresponding emission line, calculate the equivalent radiated energy from n = 4 to n = 2 in both joules and electron volts. Also, calculate the frequency of the wave. () = 4861, (Hz), E(J), E(eV) i got 11 first but im not too sure cause sometimes it will ask me it's wrong Use the integers that are closest to the number in the middle. If my car averages 27 miles to the gallon, how many miles can I drive on3/4 tank of gas