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madreJ [45]
3 years ago
12

A fair coin is flipped 20 times. Your friend proposes a bet where if it lands on heads exactly 10 times, you win $4, but if it l

ands on heads 11 or more times or 9 or less times, you lose $1. Should you take the bet? In other words, find the expected value of the bet and if it is positive you should take it.
Mathematics
1 answer:
Rudiy273 years ago
3 0

E[y]=∑yp(y)=4(0.176)+(−1)(0.824)  =−.12  dollar, so In one play the player is expected to lose 12% of a dollar.

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How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
2 years ago
Savannah wants to buy a new tablet that costs $140. She has a coupon expiring this week that is for 15% off any item. Next week,
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Its better to buy this week because it is cheaper with using coupon.

Step-by-step explanation:

140 x 0.85 = 119

125 > 119

6 0
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