MATHEMATICS HIGH SCHOOL

WILL MEDAL AND FAN AND PROMOTE!!!!!!! The probability distribution of x, a discrete random variable, is given in the table. What is the expected value of x?x Probability
0 0.2
1 0.1
2 0.4
3 0.2
4 0.1

Answers

Answer 1

Answer:

Answer:Hence, the expected value of x is 1.9.

Step-by-step explanation:

Since we have given that

x Probability

0 0.2

1 0.1

2 0.4

3 0.2

4 0.1

So, The expected value of x is given by

$E(x)=\sum xp(x)\n\nE(x)=0* 0.2+1* 0.1+2* 0.4+3* 0.2+4* 0.1\n\nE(x)=0+0.1+0.8+0.6+0.4\n\nE(x)=1.9$

Hence, the expected value of x is 1.9.

Answer 2

Answer: Expected value of a discrete random variable is:
E(X) = ∑ XiPi

E(X) = 0(0.2) + 1(0.1) + 2(0.4) + 3(0.2) + 4(0.1)
E(X) = 0 + 0.1 + 0.8 + 0.6 + 0.4
E(X) = 1.9

In short, Your Answer would be 1.9

Hope this helps!

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A certain vehicle can travel 483 miles on 14 gallons of gasoline. Determine how many gallons of gasoline this vehicle will need to travel 600 miles. Round to the nearest tenth.

Answers

483/14=34.5 miles per gallon
600/34.5=17.4 gallons
the vehicle would need 17.4 gallons of gas

483/14=34.,5

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Find all solutions of the equation. Check your solutions in the original equation. 8 x^3 − 343=0

Answers

$8x^3-343=0\ \ \ \ \ |add\ 343\ to\ both\ sides\n\n8x^3=343\ \ \ \ \ \ |divide\ both\ sides\ by\ 8\n\nx^3=(343)/(8)\n\nx=\sqrt[3]{(343)/(8)}\n\nx=\frac{\sqrt[3]{343}}{\sqrt[3]8}\n\nx=(7)/(2)$

$solution:x=(7)/(2)\n\ncheck:\n\n8\cdot\left((7)/(2)\right)^3-343=0\n\n8\cdot(343)/(8)-343=0\n\n343-343=0\n\n0=0$

$8 x^3-343=0\n\n(2x)^3-7^3=0\ \ \ \ \ \ and\ \ \ \ \ \ a^3-b^3=(a-b)(a^2+ab+b^2)\n\n(2x-7)(4x^2+14x+49)=0\n\n2x-7=0\ \ \ or\ \ \ 4x^2+14x+49=0\n2x=7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \Delta=14^2-4\cdot4\cdot49=196-784=-588\n x= (7)/(2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \Rightarrow\ no\ solution\n.\ \ \ \ \ \ \ \ Ans.\ x= (7)/(2) \n\ncheck:\nL=8x^3-343=\n=8\cdot( (7)/(2) )^3-343=8\cdot (7^3)/(2^3) -343=8\cdot (343)/(8) -343=343-343=0$

A 84-ft tree casts a shadow that is 47 ft long. What is the angle of elevation of the sun?

Answers

The angle of elevation of the sun is 60.8°.

What is angle of elevation?

This is the angle between the horizontal line of sight and the object.

To calculate the angle of elevation of the sun, we apply the formula below.

Formula:

tan∅ = Heigth of the tree(H)/Length of the shadow(L)
tan∅ = H/L............. Equation 1

Where

∅ = angle of elevation of the sun

From the question,

Given:

tan∅ = 84/47
tan∅ = 1.7872
∅ = tan⁻¹(1.7872)
∅ = 60.8°

Hence, The angle of elevation of the sun is 60.8°.

Learn more about angle of elevation here: brainly.com/question/88158

Tan(theta)=84/47
Theta=60.8°

If there are 12 girls and 15 boys in a class, which ratios are true?12 girls to 27 students
5 boys to 9 students
15 boys to 12 girls
3 girls to 5 boys

Answers

Answer:

12 girls to 27 students

5 boys to 9 students

15 boys to 12 girls

Step-by-step explanation:

The first thing we have to know is that the total number of students is 27 .

- 12 girls to 27 students is correct because there are 12 girls out of a total of 27 estudiantes

- 5 boys to 9 students is correct because it uses a common denominator that is 3 (boys: 15 / 3 = 5 and students: 27 /3 = 9)

- 15 boys to 12 girls is saying the same of the statement

The last one 3 girls to 5 boys does not have a common denominator for both factors so this last option is false .

The first three are true

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Answers

-5x+2=5
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x=3/-5
x=-0.6

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