Twinks are a social experiment

What is an equation of the line that passes through the points (0, 3) and (5, -3)?

shepuryov [24]

Answer (assuming it can be in slope-intercept form):

$y = -\frac{6}{5} x+3$

Step-by-step explanation:

1) First, use the slope formula $m =\frac{y_2-y_1}{x_2-x_1}$ to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

$m =\frac{(-3)-(3)}{(5)-(0)} \\m = \frac{-3-3}{5-0}\\m = \frac{-6}{5}$

So, the slope is $-\frac{6}{5}$ .

2) Now, use the slope-intercept formula $y = mx + b$ to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the $m$ and $b$ in the formula.

Since $m$ represents the slope, substitute $-\frac{6}{5}$ for it. Since $b$ represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:

$y = -\frac{6}{5} x+3$

3 0

2 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

What is value of the digit 5 in the number 75

ycow [4]

First, think of your places. You have the ones places, tens places, hundreds places, and so on.

The first number starting from the right is the ones, and as you keep going left, the value of each given digit becomes higher.

Since 5 is in the ones place, its value would be just 5. If it were in the tens place, it would be 50. If it were in the hundreds place, it would be 500, and so on.

Think of it this way;

Ones is just one. If a number is in the 'ones' place, its value would be a single digit. If it were in the tens place, its value would be two digits.
That's how it would be for each place going left.
Every number you move to the left, its value gains a one.

So here's an example:
5555

The value of 5 in the ones place "5555" is simply 5.

In the tens place, you end up adding one zero, so the value of the second five to the left would be, "50"

So with that said, the value of the digit 5 in the number 75 is 5.

Haha, hope this cleared up any confusion, and have a wonderful day! :)

7 0

3 years ago

Read 2 more answers

What is the equation of this line in standard form?

Tanya [424]

I believe the answer is 6x-7y=-11

4 0

3 years ago

Read 2 more answers

Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete th

ArbitrLikvidat [17]

Yes because 1500/60 = 25 which is the number of words per minute. He has 5 minutes to text so 25 x 5 = 125. In 5 minutes he can type 125 words

7 0

2 years ago