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3 years ago

6

50 POINTS N BRAINLIEST

1 answer:

diamong [38]3 years ago

8 0

The difference value of y is 90

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1) A traditional die is a cube with each of its six sides representing the numbers from 1 to 6. Mr. Dicey customized a die by re

liraira [26]

Answer:

1) $\frac{2}{5}$

2) 49.225

3) $\frac{7}{2}$

Step-by-step explanation:

1) To find the expected value of the dice we can use the following equation:

$E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})$

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be: $E(x)=(\frac{1}{1} *\frac{1}{6}) +(\frac{1}{2} *\frac{1}{6}) +(\frac{1}{3} *\frac{1}{6})+(\frac{1}{4} *\frac{1}{6})+(\frac{1}{5} *\frac{1}{6})+(\frac{1}{6} *\frac{1}{6})$

$E(x)=0.167+0.083+0.056+0.042+0.033+0.028=0.409\approx \frac{2}{5}$

2) To find the variance of the expected values we can use the equation:

$Var(x)=\frac{\sum_{i=1}^{n}(x_{i}-\overline{x})^{2} }{n}$

So for our problem will be:

$Var(x)=\frac{(3-10.5)^2+(4-10.5)^2+(17-10.5)^2+(18-10.5)^2}{4}$

$Var(x)=\frac{56.25+42.25+42.25+56.25}{4}$ $Var(x)=\frac{196.9}{4}=49.225$

3) To find the expected value of the dice we can use the following equation:

$E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})$

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be: $E(x)=(1*\frac{1}{6}) +(2 *\frac{1}{6}) +(3 *\frac{1}{6})+(4 *\frac{1}{6})+(5 *\frac{1}{6})+(6 *\frac{1}{6})$

$E(x)=0.17+0.33+0.5+0.67+0.83+1=3.5\approx \frac{7}{2}$

7 0

3 years ago

Why does the author refer to a strangely

wariber [46]

Answer:

B

Step-by-step explanation:

I think

I think

3 0

4 years ago

If f(x) = 6x - 4 and g(x) = 2x^3, find g(3) - f(4)

Korolek [52]

To solve the problem, simply plug in the value for x in both functions, as shown below:

$f(4) = 6(4) - 4$

--> $f(3) = 24 - 4$

---> $f(3) = 20$

$g(3) = 2(3)^3$

--> $g(3) = 2 * (3^3)$

---> $g(3) = 2 * 27$

----> $g(3) = 54$

$g(3) - f(4) = 54 - 20$ , so the answer is 34.

7 0

4 years ago

Химический элемент является простым веществом.

amm1812

A chemical a element js a specific kind of atom

8 0

4 years ago

A sunflower that grows 2 inches everyday or an amaryllis that grows 18 inches in one week

Ksivusya [100]

Answer:

The amaryllis that grows 18 inches in one week

Step-by-step explanation:

7 0

4 years ago