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2 years ago

Write equation line that passes through (2,2) and is parallel to line y=3x+9

Mathematics

1 answer:

White raven [17]2 years ago

4 0

Answer:

Step-by-step explanation:

The slope is in the given line. It is the number in front of the x which is 3.

So far what you have is

y = 3x + b

Now use the point to find b

x = 2

y = 2

Substitute

y = 3*2 + b

2 = 6 + b

2 - 6 = b

b = - 4

y = 3x - 4

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Wright the inequality that represents the sentence.

Serga [27]

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2 years ago

A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if

topjm [15]

Answer:

a) The expected value is $\frac{-1}{15}$

b) The variance is $\frac{49}{45}$

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is $\binom{10}{2}$ .

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is $\binom{5}{2}$ . Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is $\binom{5}{1}\cdot \binom{5}{1}$ . So, we define the following probabilities.

Probability of winning: $\frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}$

Probability of losing $\frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}$

Let X be the expected value of the amount you can win. Then,

E(X) = 1.10*probability of winning - 1 probability of losing = $1.10\cdot \frac{4}{9}-\frac{5}{9}=\frac{-1}{15}$

Consider the expected value of the square of the amount you can win, Then

E(X^2) = (1.10^2)*probability of winning + probability of losing = $1.10^2\cdot \frac{4}{9}+\frac{5}{9}=\frac{82}{75}$

We will use the following formula

$Var(X) = E(X^2)-E(X)^2$

Thus

Var(X) = $\frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}$

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2 years ago

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Yuliya22 [10]

To get the Area you need the Radius to get the Radius you need to divide 14 by 2 14/2=7

The Radius is 7 now to get the area we need to multiply 7 by 7 but also add pi 3.14

7*7*3.14=153.86

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2 years ago

Into a bucket, 3.705 liters of water flowed in 7.8 minutes. Enter the number of liters that flowed into the bucket each minute a

Anastaziya [24]

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2 years ago

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alekssr [168]

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likeee this
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2 years ago

Write equation line that passes through￼ (2,2) and is parallel to line y=3x+9￼

Write equation line that passes through (2,2) and is parallel to line y=3x+9