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Hatshy [7]
3 years ago
6

A biased coin has probability 0.6 of turning up heads. You win $x if a head comes up and you lose $y if a tail comes up. If your

expected winnings is $0, what is the relationship between x and y?
Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Answer:

x,y will be in the ratio 2:3

Step-by-step explanation:

Given that a biased coin  has probability 0.6 of turning up heads

In other words, number of heads we obtain by tossing the coin would be binomial with p = 0.6 and q =1-p =0.4

If you toss one time, the distribution of U, no of heads would be

U    0     1

p   0.4   0.6

Winning amount would be 0.6x and losing amount would be 0.4y

If these two are equal then we have

0.6x=0.4y\\Or x:y = 2:3

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Answer:

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

6 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> justify why the two larger triangles are<br> congruent.
kipiarov [429]

Answer:

SAS

Step-by-step explanation:

It doesnt show the hypotenuse so its no HL

It doesnt show 2 angles so its not SAA or ASA

It doesnt show three sides so its not SSS

The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS

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3 years ago
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3 years ago
If this angle is 1/6 of a rotation about a circle, then<br> its measure is
Nezavi [6.7K]

Answer:

60 degrees.

Step-by-step explanation:

A full rotation is 360 degrees.

So 1/6 is 360 * 1/6 =  60 degrees.

4 0
3 years ago
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0
3 years ago
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