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1 year ago

Help me do this, Find m

Mathematics

1 answer:

Harman [31]1 year ago

7 0

Answer:

finding x:

XYZ = 117

6x+44-10x+65=117

-4x = 8

x=-2

finding the measure of the angles:

XYW=

6*-2 + 44 = 32

WYZ=

-10*-2+65 = 85

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Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n 2 if heads comes up

Artyom0805 [142]

Answer:

In the long run, ou expect to lose $4 per game

Step-by-step explanation:

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.

Assuming X be the toss on which the first head appears.

then the geometric distribution of X is:

X $\sim$ geom(p = 1/2)

the probability function P can be computed as:

$P (X = n) = p(1-p)^{n-1}$

where

n = 1,2,3 ...

If I agree to pay you $n^2 if heads comes up first on the nth toss.

this implies that , you need to be paid $\sum \limits ^{n}_{i=1} n^2 P(X=n)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = E(X^2)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+(\dfrac{1}{p})^2$ ∵ X $\sim$ geom(p = 1/2)

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+\dfrac{1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p+1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-p}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-\dfrac{1}{2}}{(\dfrac{1}{2})^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{4-1}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{3}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ 1.5}{{0.25}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =6$

Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6

= $4

∴

In the long run, you expect to lose $4 per game

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4 years ago

How much does a cubic meter of water weigh in kilograms? Please Explain.

aleksandrvk [35]

Answer:

A cubic meter of pure water has a mass of 1000 kg

Step-by-step explanation:

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3 years ago

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What is the slope of the line given by the equation y = 3x? enter your answer as an integer.

Galina-37 [17]

Slope is 3
3/1
Rise3 and 1 to the right called run

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4 years ago

24x-9 solve<br> A 3(8x - 9)<br> B 6(4x - 9)

Hitman42 [59]

24 x -9 or 24x - 9?
then I will answer :))

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3 years ago

6. x^9y^-4/x^2 simplify

ivann1987 [24]

Answer:

x^7 / y^4

Step-by-step explanation:

Please enclose a negative exponent inside parentheses:

x^9y^(-4)/x^2

Rewrite this in the form

numerator

----------------------

denominator

x^9 *

We get: ------------ divided by x^2

y^4

x^7

Since x^9 / x^2 = x^7, our final answer is --------

y^4

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3 years ago