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3 years ago

Explain in your own words why (x + y)2 ≠ x2 + y2. Provide a numerical example to illustrate.

1 answer:

6 0

Im not sure if you wrote this wrong because (x+y)2 does equal x2+y2. An example would be if x equals 3 and y equals 4 (3+4)2=(3)2+(4)2 (7)2=6+8 14=14.

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An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that

qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

$F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100$

#First find $F_x$ and probability distribution function , $f_x(x)$ :

$F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}$

#Have determined the probability distribution unction , $f_x(x)$ , we calculate the Expectation of the random variable X:

$E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200} dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\$

#We then calculate $E(X^2)$ :

$E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28$

Hence, the Var(X) is 764.28

4 0

3 years ago

Find the measure of ∠FEG.<br> A) 25° <br> B) 65° <br> C) 80° <br> D) 90°

MissTica

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10 The variable should only be on one side of the equation,

5x - 3x = 10 Therefore subtract 3x from both sides

2x = 10 Divide by 2 on both sides.

x = 5

We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°

∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x In this case, we're using "x" to solve for ∠FEG

90-25 = x We subtract 25 from both sides to get the variable by itself.

65° = x

<h2>∠FEG = 65° The Answer is B</h2>

6 0

3 years ago

Read 2 more answers

Which best describes the orthocenter of a triangle?

Stolb23 [73]

Answer:

its A

Step-by-step explanation:

Its a because its A =)

7 0

1 year ago

In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in 2005, there were about 15000 per sq

dusya [7]

It growth with in 14,990

5 0

3 years ago

HELP PLZ DONT TROLL I NEED THIS ITS DUE NEXT PEROID

Savatey [412]

Answer:

4x -4 24

Step-by-step explanation:

Remember distribution, 4 × x then 4 x -6

7 0

2 years ago