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horrorfan [7]
2 years ago
6

Write the equation of the line shown in the graph. Please help.

Mathematics
2 answers:
Furkat [3]2 years ago
8 0

Answer:

y = 3

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

Where c is the value of the y- coordinates the line passes through.

In this case the line passes through points with a y- coordinate of 3, hence

Equation of horizontal line is y = 3

jeka57 [31]2 years ago
3 0

Answer:

y = 3

Step-by-step explanation:

The y-coordinate of all points on the graph is 3.

The equation is y = 3

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Answer:

(a)

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

(b)

P(3 \le x \le 6) = 0.30

P(4 \le x)=0.60

Step-by-step explanation:

Given

F(x) = \left[\begin{array}{ccc}0& x

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

The calculation is as follows:

0.30 - 0 = 0.30

0.40 - 0.30 = 0.10

0.45 - 0.40 = 0.05

0.60 - 0.45 = 0.15

1 - 0.60 = 0.40

The x values are gotten by considering where the equality sign is in each range.

1 \le x < 3 means x = 1

3 \le x < 4 means x = 3

4 \le x < 6 means x=4

6 \le x < 12 means x = 6

12 \le x means x = 12

Solving (b):

(i)\ P(3 \le x \le 6)

This is calculated as:

P(3 \le x \le 6) = F(6) - F(3-)

From the given function

F(6)= 0.60

F(3-) = F(1) = 0.30

So:

P(3 \le x \le 6) = 0.60 - 0.30

P(3 \le x \le 6) = 0.30

(ii)\ P(4 \le x)

This is calculated as:

P(4 \le x)=1 - F(4-)

P(4 \le x)=1 - F(3)

P(4 \le x)=1 - 0.40

P(4 \le x)=0.60

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