You are offered the following gamble:

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Flipping two fair coins :

Sample space :

{TH, HT, TT, HH}

Atleast one head = 12

If not = - 24

Probability of atleast one head = 3/4

If not ; probability of 2 tails = 1/4

Hence,

X ______12 ______ -24

P(x) ___0.75 ______0.25

Expected value for of gamble E(x) :

Σx * p(x) = (12 * 0.75) + (-24 * 0.25)

E(x) = 9 - 6

E(x) = 3

Expected value of gamble = $3

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What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer

kodGreya [7K]

Answer:

Therefore $m_{2}$ = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is $m_{1}$ .

ii) to find the slope of the line passing through two points ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) we use the formula m = $\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$ . Therefore we can say that $m_{1}$ = $\dfrac{9 - 7}{4 - (-2)}$ = $\dfrac{1}{3}$ .

iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is $m_{2}$

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3 years ago

What is the rule for the reflection?

Sliva [168]

Hey user!

your answer is here...

laws ( rules ) of reflection are :-

• angle of incidence is equal to angle of reflection.

• the incident ray, Normal ray and reflected ray all lie in same plane.

cheers!!