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Olegator [25]
1 year ago
15

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Mathematics
1 answer:
Reptile [31]1 year ago
4 0

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

E(x) = \sum x* P(x)

So, we have:

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

This gives

E(x) = 2.7

Next, calculate E(x^2) using:

E(x^2) = \sum x^2* P(x)

So, we have:

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

E(x^2) = 9.5

The variance is then calculated as:

Var(x) = E(x^2) - (E(x))^2

So, we have:

Var(x) = 9.5 - 2.7^2

Var(x) = 2.21

Approximate

Var(x) = 2.2

Hence, the variance of the data is 2.2

Read more about variance at:

brainly.com/question/15858152

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Find five solutions for the linear equation 2x + y = 5, and plot the solutions as points on a coordinate plane.​
WARRIOR [948]

Step-by-step explanation:

First put it in point slope for y = mx + b

y = -2x + 5

Now plug in what ever number you want for x and solve.

4 0
2 years ago
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 14 ft wide.
expeople1 [14]

rounded part is a semicircle so the area for that is the area of a circle ÷ 2

so

area of the rectangle + (area of the circle ÷ 2) = answer

24 * 14 = 336 = area of the rectangle

14 ÷ 2 = r

(pi * 7^2) ÷ 2

(pi * 49) ÷ 2 = 153.86 ÷ 2 = 76.93 = area of semicircle

336 + 76.93 = 412.93 ft^2 = answer

6 0
2 years ago
can someone please do this :// I need B done on Question 9 but I'm so mad because no one is giving me a correct fkin answer
Akimi4 [234]
Should be 4 for B because 8-4 would equal 4
7 0
2 years ago
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A plane rises from take off and flies at an angle 11° with the horizontal runway. When it has gained 750 feet find the distance
kogti [31]

Answer:

D=3930.632298 \approx 3930.6miles

Step-by-step explanation:

From the question we are told that

Angle  \theta=11\textdegree

Height of plane h  =750feet

Generally the equation for the total distance flown is mathematically given by

D=\frac{h}{sin\theta}

D=\frac{750}{sin11}

Therefore total distance flown is

D=3930.632298 \approx 3930.6miles

7 0
3 years ago
evelyn drinks 8 glasses of water a day , which is 56 glasses of water a week.how many glasses of water does she drink in a year?
MissTica
If you would like to know how many glasses of water does Evelyn drink in a year (1 year = 52 weeks), you can calculate this using the following steps:

8 glasses of water per day
56 glasses of water per week
x glasses of water per year = ?

x = 56 * 52 = 2912 glasses of water per year

Result: Evelyn drinks 2912 glasses of water per year.
4 0
3 years ago
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