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OLEGan [10]
2 years ago
12

Plot the x- and y-intercepts to graph the equation y=-x-5

Mathematics
2 answers:
Rainbow [258]2 years ago
6 0
The y intercept is the y value determined when x = 0
y = -0 - 5
y = - 5
The y intercept is (0,-5)

The x intercept is where y = 0
0 = -x - 5
5= -x
x = - 5
The x intercept is (- 5, 0)

djverab [1.8K]2 years ago
6 0

Answer:

We have been given: y=-x-5

We need to plot x-intercept and y-intercept

For, x-intercept we put y=0 we get:

0=-x-5

x=-5

So, x-intercept is: (-5,0).

For, y-intercept we put x=0 we get:

y=0-5

y=-5

So, y-intercept is: (0,-5).

We need to plot x and y intercepts.

Please look at the attachment for the plot of intercepts.

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2 years ago
You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a
Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes                            X                                 P(X)

(1,1)                                          1                                 1/16

(1,2),(2,1),(2,2)                                   2                        3/16

(1,3),(2,3),(3,1),(3,2),(3,3)                    3                           5/16  

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4)    4                            7/16

Using the probability formula

P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}

Now,

E(X)=\sum_{i=1}^{n}x_iP(x_i)

E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)

E(x)=\frac{1+6+15+28}{16}

E(x)=\frac{50}{16}=3.125

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Answer:

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Step-by-step explanation:

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= 43.95

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