Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X. The mean is Enter your answer; The mean is 1/7 [Give exact answer in form of fraction.] The variance is Enter your answer; The variance is 0.1190 [Round your answer to four decimal places (e.g. 98.7654).]

Answers

Answer 1

Answer:

1/7 ;

0.0034

Step-by-step explanation:

Given that:

X = 1/14, 1/7, 3/14

n = number of observations = 3

Since, probability of X is equally likely ;

P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3

The mean, m ;

Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)

= 1/42 + 1/21 + 3/42

= (1 + 2 + 3) / 42

= 6 / 42

= 1/7

The variance :

Σx²*p(x) - m²

((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2

= 0.0238095 - 0.0204081

= 0.0034014

= 0.0034


Related Questions

ASAP I WILL GIVE BRAINLIEST

Which statements apply to the expression 5 ?

The answers/options r in the pic​

Answers

Answer:

ok so in my math class I just learned this so sry if I am wrong but so

Answer:

Options 1, 3, 4, 7

Step-by-step explanation:

I'm guessing you meant the expression 3/5^3.

The base would be 3/5 because that is the number that the exponent is raising.

The exponent is 3 because that's the small number above and to the right of 3/5.

The expanded form is 3/5 × 3/5 × 3/5 because there's an exponent of 3. An exponent means you multiply the number by itself, the number of times it's being raised to. The exponent is 3 and 3/5 is being multiplied 3 times.

The solution would be 27/125 because when you multiply fractions, you just multiply straight across. 3 × 3 × 3 is 27 and 5 × 5 × 5 is 125.

I hope this makes sense, it's kinda hard to make it understandable without being able to actually talk to you.

Need help with math points and brainlest

Answers

Answer:

22.5 cm

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

13.5 / 9 = x / 15

The product of 3 and q increased by 7 is equal to the
sum of q and 3. Find q.

Answers

Answer:

-2

Step-by-step explanation:

3q + 7 = q +3

Bring the variables to one side and the numbers to the other

3q - q = 3 -7

2q = -4

q = -2

Hope this helps!

Please help! Find the value of X. Round to the nearest tenth. acellus

Answers

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

3(x-2)+7=2(x+5)
What is the answer to this please

Answers

Answer:

x=9

Step-by-step explanation:

distribute: 3x-6+7=2x+10

add like terms: 3x+1=2x+10

add the x's and the integers: x=9

If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all

Answers

Answer: There are 123 pieces in total.

Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.

Total lead = 41 * 3

Total lead = 123 pieces

Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!

Answers

Answer:

obtuse angle

Step-by-step explanation:

as it is angle 1 is greater than 90

Solve the formula for the specified variable.
I = Prt
P=

Answers

to isolate variable P, you would divide rt on both sides, leaving you with I/rt=P

Step-by-step explanation:

I= PRTP=I/RT

................

What is the total surface area of a cube with an edge on 4 1/2 feet

Answers

Answer:

What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet

Step-by-step explanation:

Surface area = 6 × 4 1/2 × 4 1/2

Surface area = 121.5

help me out
14 < n - 22​

Answers

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

The answer is you n = 8

Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9

Answers

Answer:

Step-by-step explanation:

38.25 minutes × (1 lap)/(4.25 minutes) = 9 laps

9 laps is the answer

A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won

Answers

Answer:

you would divide -> 51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:Divide  51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

-7z-2=12.
can u please show the work also

Answers

Answer:

z = -2

Step-by-step explanation:

-7z -2 = 12

-7z = 14 (add 2 on both sides)

z = -2 (divide -7 on boths sides)

z = -2

-7z = 12 + 2

-7z = 14

z = -14/7

z = -2

Help! Will give brainliest!

Answers

Answer:

6 or 5

Step-by-step explanation:

The answer is 6 your welcome

please help using elimination !

7x+2y=24 8x+2y=30

Answers

Answer:

-x=-6

x=6

7(6)+2y=24

42+2y=24

2y=24-42

2y=-18

y=-9

Step-by-step explanation:

Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.

Answers

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.​

Answers

Answer:

The other dimension is x=4 cm

Step-by-step explanation:

Surface Area of a Rectangular Prism

Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:

A = 2(xy + yz + xz)

We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:

148 = 2(x*5 + 5*6 + x*6)

Dividing by 2:

74 = x*5 + 5*6 + x*6

Operating:

74 = 5x + 30 + 6x

Simplifying:

74 = 11x + 30

Subtracting 30:

44 = 11x

Dividing by 11:

x = 4 cm

The other dimension is x=4 cm

A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?

Answers

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6

Skye needs 50 g of sugar to make 30 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Skye is going to make 120 biscuits.
(a) Work out the amount of flour she needs.​

Answers

Answer:600g

Step-by-step explanation: 50x3=150 150x4=600 since 30x4=120

A line and a point ____ intersect

Answers

Answer: does

Step-by-step explanation:

Does...............................

PLZZZZZ HELP IT IS DUE IN 5 MINUTES

Answers

i’m pretty sure it’s D

what is 3/5 + 3/2 ?
I’ll mark as BRAINLIEST

Answers

Answer:

2 1/10

Step-by-step explanation:

The ratio of tomatoes to pepper plants in the garden is 5:2. If there are 6 more tomato plants than pepper plants, how many pepper plants are in the garden?

Answers

The ratio from tomatoes to pepper plants is 5:2

Meaning there are 5 tomatoes and 2 pepper plants

In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.

-----

When the ratio 5:2 is multiplied by 2

it equals 10:4

We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.

-----

So there are:

10 tomatoes

and

4 pepper plants!

What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160 m

Answers

you find the area of a triangle by using 1/2*b*h where b is the base and h is the height. since we already know the area is 20 and the height is for you plus them in so the problem would be 20= 1/2 (b) (4) then you multiply what you know together to get 20= 2b and then isolate the b by dividing both sides by two so the base should be 10 m

Answer:

The answer is 10 20/4=5*2=10

Step-by-step explanation:

its 10

A. Dan should hope his flight uses configuration B.

B. Dan should hope his flight uses configuration A.

C. Dan is equally likely to get an aisle seat with whichever configuration his flight uses

D. There is not enough information to determine which configuration Dan should hope his flight uses

Answers

c should be it, try it and see

Answer:

The answer is A.

so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?

Answers

Answer:

6

Step-by-step explanation:

3 × (10 - 6) ÷ 2 =?

The strategy that we are using here is PEMDAS:

First, you subtract 6 from 10 which is 4. 10 - 6 =4

Next, you multiply 4 by 3. 4 × 3 = 12

Then, you divide 12 by 2. 12 ÷ 2 = 6

Your answer is 6.

Your welcome. Showed my work below.

PLZ HELP I’LL GIVE BRAINLIEST

Answers

i’m not sure if this is right but im guessing c.
I think it’s C as the answer

how can equations help you model the relationship between two quantities

Answers

Answer:

I dosent show anything that I should solve

Step-by-step explanation:

   

In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.

Answers

Answer:

y = 7x - 8

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 7

y-intercept b = -8

Step 2: Write Function

Substitute in parts.

y = 7x - 8

The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?

Answers

Answer:

$7.50

Step-by-step explanation:

4 1/2 hours total

1st hour = $1.00 ;  3 1/2 hrs remaining

2nd hour = $1.50 ;  2 1/2 hrs remaining

after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00

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