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3 years ago

What is the value of x?

Mathematics

1 answer:

german3 years ago

7 0

Answer:

Step-by-step Explanation

$x \degree = \frac{1}{2} (172 \degree - 52 \degree) \\ \\ x \degree = \frac{1}{2} \times 120 \degree \\ \\ x \degree = 60 \degree \\ \\ x = 60$

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What is -2 2/5 + (-1 3/4)

erma4kov [3.2K]

Answer:

-83/20

Step-by-step explanation:

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3 years ago

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Blake is cutting a piece of rope into fourths if each piece is 16 inches long what is the length of the entire rope

Dovator [93]

The length of the entire rope is 64 inches as when it is cut into four pieces one is 16 therefore when multiplying 16 by four you should get the length of the entire rope which is 64.

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3 years ago

A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a centra

elena-s [515]

Answer:

33.14 ft^2

Step-by-step explanation:

First find the area of the circle

The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft

A = pi r^2 = pi ( 10)^2 = 100 pi

The central angle is 38

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth

33.14 ft^2

4 0

3 years ago

How do you solve 3-5?

elena-14-01-66 [18.8K]

Answer: -2

Step-by-step explanation:

You added a subtract sign, so I subtracted. Since it is 3, the numbers go down to the negatives. Ending up a Negative 2 (-2)

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3 years ago

In an NBA championship series, the team that wins four games out of seven is the winner. Suppose that teams ???? and ???? face e

olchik [2.2K]

Answer:

a) P=0.185

b) P=0.608

c) P=0.593

Step-by-step explanation:

The question is not complete

"In an NBA championship series, the team that wins four games out of seven is the winner. Suppose that teams A and B face each other in the championship games and that team A has a probability 0.55 of winning a game over team B.

a. What is the probability that team A will win the series in 6 games?

b. What is the probability that team A will win the series?

c. If teams A and B were facing each other in a regional playoff series, which is decided by winning three out of 5 games, what is the probability that team A would win the series?

a) It is implicit that 6 games are played. The number of games needed to win a series in 6 games is 4, and the last winning should be in the 6th game.

So we have 5 random results in the first 5 games in which A team wins 3 matches and losses 2 matches.

This can be modeled as a binomial distribution with k=3, n=5 and p=0.55.

$P(k=3)=\frac{n!}{k!(n-k)!}p^k*(1-p)^{n-k}\\\\P(k=3)=\frac{5!}{3!2!}*0.55^3*0.45^2=10*0.166*0.203=0.337$

Then, this probability has to be multiplied by the probability of winning the last game.

$P(W_6)=P(k=3;n=5)*P(W_{6th})=0.337*0.55=0.185$

The probability that team A will win the series in 6 games is P=0.185.

b) In this case, we have to calculate the probability of A winning at least 4 games. When a team reaches 4 wins, the series is over. This can happen in 4, 5, 6 or 7 games.

The probability of winning the series is:

$P(W)=[P(3;3)+P(3;4)+P(3;5)+P(3;6)]*P(win\,last\,game)$

Probability of 3 wins in 3 games

$P(3;3)=\frac{3!}{3!0!}*0.55^3*0.45^0 =1*0.166*1=0.166$

Probability of 3 wins in 4 games

$P(3;4)=\frac{4!}{3!1!}*0.55^3*0.45^1 =4*0.166*0.45=0.299$

Probability of 3 wins in 5 games

$P(3;5)=\frac{5!}{3!2!}*0.55^3*0.45^2 =10*0.166*0.203=0.337$

Probability of 3 wins in 6 games

$P(3;6)=\frac{6!}{3!3!}*0.55^3*0.45^3 =20*0.166*0.091=0.303$

Then

$P(W)=[P(3;3)+P(3;4)+P(3;5)+P(3;6)]*P(win\,last\,game)\\\\P(W)=[0.166+0.299+0.337+0.303]*0.55=1.105*0.55=0.608$

The probability of team A of winning the series is P=0.608.

c) The probabilty of winning the regional playoff is

$P(W)=[P(2;2)+P(2;3)+P(2;4)]*P(win\,last\,game)$

$P(2;2)=\frac{2!}{2!0!}*0.55^2*0.45^0 =1*0.303*1=0.303\\\\P(2;3)=\frac{3!}{2!1!}*0.55^2*0.45^1 =3*0.303*0.45=0.408\\\\P(2;4)=\frac{4!}{2!2!}*0.55^2*0.45^2 =6*0.303*0.203=0.368$

Then,

$P(W)=[P(2;2)+P(2;3)+P(2;4)]*P(win\,last\,game)\\\\P(W)=[0.303+0.408+0.368]*0.55=1.079*0.55=0.593$

8 0

2 years ago