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Leokris [45]
4 years ago
7

Write the equation of the line through the given point with the given slope. If possible use slope-intercept form. Simplify comp

letely Through: (-3, -3) slope 5/3
Mathematics
1 answer:
Bad White [126]4 years ago
5 0

Answer: The equation is

y = 5x/3 + 2

Step-by-step explanation:

represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

The slope is given as 5/3 and the point that it passes through is

(-3, -3)

To determine the intercept, we would substitute x = - 3, y = - 3 and m= 5/3 into y = mx + c. It becomes

- 3 = 5/3 × - 3 + c = - 5 + c

c = - 3 + 5 = 2

The equation becomes

y = 5x/3 + 2

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You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if
oksian1 [2.3K]

Answer:  The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the  winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)=\dfrac{1}{4}=0.25

You win $6; if the faces are both heads

then P(Y=6)=P(HH)=\dfrac{1}{4}=0.25

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)=\dfrac{2}{4}=0.50

The expected value to win : E(Y)=\sum_{i=1}^{i=3} y_ip(y_1)

=1\times0.25+6\times0.25+(-3)\times0.50=0.25

Hence, the mean of Y : E(Y)= $0.25

E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25

Variance = E[Y^2]-E(Y)^2

=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19

Hence, variance of Y = $ 6.19

6 0
4 years ago
Make sure your answer is in
romanna [79]

Answer:

210° , 330°

Step-by-step explanation:

using the sides of the 30- 60- 90 triangle

with legs 1, \sqrt{3} and hypotenuse 2 , then

sin^{-1} \frac{1}{2} = 30° ← related acute angle

since sin^{-1} - \frac{1}{2}

then angle is in third / fourth quadrants , then required angles are

180° + 30° = 210° ← in third quadrant

360° - 30° = 330° ← in fourth quadrant

6 0
2 years ago
Solve for y<br> 3x+1/5y=7
Tcecarenko [31]

Answer:

y = -15x + 35

Step-by-step explanation:

3x + 1/5y = 7

1/5y = -3x + 7

y = 5( -3x + 7)

y = -15x + 35

6 0
3 years ago
WILL MARK CORRECT ANSWER BRAINLIEST
vladimir1956 [14]
3y^-4/3 x 2 3/y
Write in exponential form with the base of y
= 3y^-4/3 x 2y^1/3
Calculate the product
= 6y^-1
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= 6 x 1/y
Calculate the product
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8 0
3 years ago
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that
rosijanka [135]

Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.

<h3>What is the mean of a data-set?</h3>

The mean of a data-set is given by the <u>sum of the observations divided by the number of observations</u>.

For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.

Hence, the sample mean in ounces is of:

M = (18 + 19 + 20 + 19)/4 = 19.

More can be learned about the mean concept at brainly.com/question/24628525

3 0
2 years ago
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