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mariarad [96]
3 years ago
9

Venus's orbital distance from the Sun is 0.72 AU. How long does it take for Venus to complete one orbit around the Sun, compared

to Earth?
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

224.7 days

Step-by-step explanation:

Venus is the second planet out of the nine planets and it precedes the planet earth. Venus has an orbital distance of 0.72 AU from the sun while Earth has an orbital distance of 149.60 million km from the sun. Due to these distances, the Venus completes one orbit around the sun in 224.7 days while the Earth complete one orbit around the sun in 365.256 days but in a leap year, it completes one orbit around the sun in 366 days.

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Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assi
BartSMP [9]

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

\mu = 6*0.6*3 + 6*0.4*1 = 13.2

The standard deviation is:

\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

\mu = 6*0.6 = 3.6

The probability of scoring four goals is:

P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122

Probability of two assists:

40% of 2 are assists, which means that:

\mu = 6*0.4 = 2.4

The probability of getting two assists is:

P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127

Probability of four goals and two assists:

P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05

0.05 = 5% probability that he has four goals and two assists in one game

5 0
2 years ago
Which expression uses the commutative property to make it easier to evaluate 1/6 • 5/7 • 18?
Korvikt [17]
It’s A, Because if you do KCF (Keep Change Flip) It would be 1/6 X 7/5.
8 0
2 years ago
Write the equation of the line passing through the (1,-2)
AleksAgata [21]
Theres information missing in the question. There should be one more pair of coordinates
8 0
3 years ago
Please help? please ​
Deffense [45]

Answer:

7.75

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If you ride your bike 12 miles per hour, how long would it take<br> you to travel 72 miles ?
poizon [28]

Answer:

It would take 6 hours for you to travel 72 miles.

Step-by-step explanation:

This question can be solved by a simple rule of three.

We have that:

Each hour, you ride 12 miles.

How many hours will take for you to travel 72 miles?

So:

1 hour - 12 miles

x hours - 72 miles

12x = 72

x = 72/12

x = 6

It would take 6 hours for you to travel 72 miles.

4 0
3 years ago
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