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fgiga [73]
1 year ago
11

Two boys play basketball in the following way. They take turns shooting and stop when a basket is made. Player A goes first with

a probability p1 of making a basket on any throw. Player B, who shoots second, has probability 2 p of making a basket. The outcomes of the successive trials are assumed to be independent. (a) Find the probability mass function for the total number of attempts. (b) What is the probability that player A wins
Mathematics
1 answer:
Softa [21]1 year ago
6 0

Answer:

P(A) = p1 (1 − q1q2)

Step-by-step explanation:

Let A = player A wins,

then  P(A) = p1 + (1 − p1)(1 − p2)P(A)

⇒ P(A) = p1 (1 − q1q2)

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If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park
Ierofanga [76]
Answer:

2.45

Explanation:

Halfway of 2.4 and 2.5 is 2.45 because .05 is the halfway mark based on the place value.
6 0
2 years ago
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the
Butoxors [25]

Answer:

The length of the angle bisector of angle ∠A is 6.01.

Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

(AB)^2=(BC)^2+(AC)^2

(13)^2=(BC)^2+(5)^2

169=(BC)^2+25

BC=12

\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin A=\frac{BC}{AB}

A=\sin ^{-1}\frac{12}{13}

A=67.38

Bisector divides the angle in two equal parts, therefore,

A'=\frac{67.38}{2} =33.69

In triangle ACD.

\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}

\cos A'=\frac{AC}{AD}

\cos (33.69^{\circ})=\frac{5}{AD}

0.832=\frac{5}{AD}

AD=\frac{5}{0.832} =6.009\approx 6.01

Therefore the length of the angle bisector of angle ∠A is 6.01.

4 0
2 years ago
It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole
Mumz [18]

Answer:

Cole can play only 15 games if he has $35 to spend at the park

Step-by-step explanation:

The sum of money Cole has with him as he goes to the park is $35.

As he goes to the park, 12.5 dollars is taken from him at the gate, leaving him with only $35 - $12.5 = $22.5

He now has only $22.5 to play games.

If each game costs $1.5 then he will be able to play \frac{22.5}{1.5} games = 15 games only.

Hence, Cole will be only able to play 15 games if he goes to the park with $35

7 0
2 years ago
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VLD [36.1K]
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f(x) = g(x)

1.8x - 10 = -4
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