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3 years ago

24

Mathematics

2 answers:

Verdich [7]3 years ago

7 0

D!!! i think. not sure

Zarrin [17]3 years ago

6 0

M= -2/5
D is the answer

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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

Tom wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a window with the dimensions shown. If

ollegr [7]

A because 16x9=144 and 4x6=24 and 144-24=120

3 0

3 years ago

Given that £1=$1.62 b) How much is $1405 in £? Please help

Paha777 [63]

Answer:

No b answer is 867.2839506173£ will be of $1405

3 0

3 years ago

Read 2 more answers

Please help with 30!

Paladinen [302]

The equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry

The equation of the graph y = $x^{3}-2x^{2} +3x-4$

Replace y with -y in the given equation

-y = $x^{3}-2x^{2} +3x-4$

When replacing y with -y gives the different equation. The equation is not symmetric with respect to x axis

Replace x with -x in the given equation

y = $(-x)^{3} -2(-x^{2} )-3(-x)-4$

y = $-x^{3}-2x^{2} +3x-4$

When replacing x with -x gives the different equation. The equation is not symmetric with respect to y axis

Replace x with -x and y with -y in the equation

-y = $(-x)^{3} -2(-x^{2} )-3(-x)-4$

-y = $-x^{3}-2x^{2} +3x-4$

When replacing x with -x and y with -y gives the different equation. The equation is not symmetry with respect to origin.

Hence, the equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry

Learn more about symmetry here

brainly.com/question/16180199

#SPJ1

4 0

1 year ago

How many cups are in 3 pt? Please show work!!!!

ipn [44]

This is a simple application of english system conversions. I'm afraid that's all there is to it, you're just going to have to commit these to memory.

That said, I shall walk you through the problem. This one is fairly easy.

We know that in one pint there are two cups. As such, in two pints there are four cups, and in three pints there are six cups.

Therefore, there are 6 cups in 3 pints.

Hope this helps :)

6 0

4 years ago

Read 2 more answers