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Kay [80]
3 years ago
7

A commuter has to cross a train track each day on the way to work. The probability of having to wait for a train is .2. If she h

as to wait for a train, her commute takes 25 minutes; otherwise, it takes 20 minutes. What is her expected commute time?
Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

21 minutes

Step-by-step explanation:

Her expected commute time is given by the probability of having to wait for the train (0.2) multiplied by the commute time in this scenario (25 min), added to the probability of not having to wait for the train (1 - 0.2) multiplied by the commute time in this scenario (20 min). The expected commute time is:

E(X) = 0.2*25+(1-0.2)*20\\E(X) = 21\ minutes

Her expected commute time is 21 minutes.

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Graph y=x, y=2x, and y=3x on the same coordinate plane. How are the graphs alike? How are they different? Compare the slopes.
Ne4ueva [31]

Answer:

all the three graphs passes through the origin (0,0)

the slope of the lines are different.

for y=x equation , slope =1

for y=2x equation slope = 2

for y=3x equation slope = 3

Step-by-step explanation:

LEts graph all the three equations

y=x , y=2x, y= 3x

Make a table for each equation and find two points

x           y=x                            x        y= 2x                          x       y=3x

0           0                               0         0                                0        0

1            1                                 1            2                               1          3

Graph is attached below

From the graph we can see that , all the three graphs passes through the origin (0,0)

From the graph we can see that the steepness of the line changes for each line. steepness of the line is noting but the slope . So the slope of the lines are different.

Given equation is in the form of y=mx+b

m is the slope

for y=x equation , slope =1

for y=2x equation slope = 2

for y=3x equation slope = 3


3 0
3 years ago
Read 2 more answers
ASAPpppppppppppppppppppppp
Bogdan [553]

Answer:

-4/5

Step-by-step explanation:

2/5 ÷ -1/2

Copy dot flip

2/5 * -2/1

-4/5

8 0
3 years ago
Solve the inequality ||x-5|+2|≤3
Fudgin [204]

Step-by-step explanation:

||x-5|+2|≤3

-3 ≤ (|x-5| +2) ≤ 3

-5 ≤ |x-5| ≤ 1

|x-5| ≥ -5 => not required

|x-5| ≤ 1

-1 ≤ x-5 ≤ 1

4 ≤ x ≤ 6

the Solutions:

{4≤ x ≤ 6}

3 0
3 years ago
PLEASE HELP ME!!!!<br><br> (if you don’t know don’t answer)
Sergio039 [100]

Answer:

Here are my answers

hope this helps

Step-by-step explanation:

1. isosceles triangle

2.   3x + 15 = 90       x = 25

     x + 25 = 90        x = 65

     x + 55 = 90        x = 35

3. The size for DAB is 84

My reasoning is I went from one angle to another by subtracting 180 from my answers. For example angle 132 is supplementary to the missing angle next to it. I subtract 180 from 132 and get 48. That already solves the 2 equivalent angles in the triangle so I have 48+48+x = 180 because a full triangle equals 180. I get x = 84 then I do the same thing I did with angle 132. Angle 84 is supplementary to the missing angle next to it. I subtract 84 from 180 and get 96 then go diagonal from angle C (which is 96) to angle A. Those are supplementary so I subtract 96 from 180 and get 84.

3 0
3 years ago
Solve for x. The polygons in each pair are similar.
VMariaS [17]

Answer:

x = 9

Step-by-step explanation:

We need to find the value of x if the polygons in each pair are similar.

As they are similar, the ratio of their sides are equal.

The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.

So,

\dfrac{6}{2x-9}=\dfrac{12}{18}\\\\\dfrac{6}{2x-9}=\dfrac{2}{3}\\\\\dfrac{3}{2x-9}=\dfrac{1}{3}\\\\x=9

So, the value of x  is equal to 9.

7 0
3 years ago
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