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3 years ago

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Convert to standard circle form

d="TexFormula1" title=" x^{2} +y ^{2} -6x-4y-12=0 " alt=" x^{2} +y ^{2} -6x-4y-12=0 " align="absmiddle" class="latex-formula">

1 answer:

DIA [1.3K]3 years ago

7 0

x^2 + y^2 - 6x - 4y - 12 = 0
x^2 - 6x + y^2 - 4y = 12
x^2 - 6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y - 2)^2 = 25

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Jamestown Steel Company manufactures and assembles desks and other office equipment at several plants in western New York State.

frosja888 [35]

Answer:

a. %u03BC = 200

Step-by-step explanation:

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3 years ago

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

If a material contains three elements joined in a fixed proportion, it is a(an)

Andrei [34K]

The answer is d. if they are chemically joined as a mixture is multiple element but they aren't chemically joined. And an atom is what the element is made of and a solution is not anything to do with joined elements

7 0

3 years ago

Ok so I have math homework and I need so help ASAP I need to find the average of 35 40 12 16 25 and 10 so could someone plz plz

sleet_krkn [62]

Answer: 23! Add your numbers, and divide that sum by the amount of numbers added to get average!

Step-by-step explanation:

The average is found by adding all numbers of the sample, and diving by the amount of numbers added. For example:

The average of 1, 2, and 3. You first add 1 + 2 + 3 to get 6.

You then divide 6 by the number of numbers added, being 3 (1, 2, and 3.).

6 / 3 = 2. The average of 1, 2, and 3 is 2.

In your case, you have 35, 40, 12, 16, 25, and 10.

First you add 35 + 40 + 12 + 16 + 25 + 10 to get 138.

Then you divide 138 by the amount of numbers you added: 6.

138 divided by 6 = 23 (138/6).

Hope this helps!

Add your numbers, and divide that sum by the amount of numbers added to get average!

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3 years ago

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Evaluate the expression 8x2+9y

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Answer:

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Step-by-step explanation:

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