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klemol [59]
2 years ago
11

Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of bein

g stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP
Mathematics
2 answers:
Rus_ich [418]2 years ago
8 0

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

makkiz [27]2 years ago
8 0

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

Step-by-step explanation:

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A triangle has angles that measure 8xº,
romanna [79]

Answer:

8xº = 90º

6xº = 67.5º

2xº = 22.5º

x = 11.25°

Step-by-step explanation:

The sum of angles in a triangle is 180°

8xº + 6xº + 2xº = 180º

16xº = 180º

x = 11.25º

8xº = 11.25(8) = 90º

6xº = 67.5º

2xº = 22.5º

Hope this helps :)

3 0
3 years ago
I need help answering the question in the picture provided
adoni [48]

answer:

(a).

Equation of circle is <u>x²</u><u> </u><u>+</u><u> </u><u>y²</u><u> </u><u>-</u><u> </u><u>2</u><u>5</u><u> </u><u>=</u><u> </u><u>0</u>

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

{ \boxed{ \bf{ {x}^{2} +  {y}^{2} + 2gx + 2fy   + c = 0}}}

but g and f are 0:

{x}^{2}  +  {y}^{2}   + c = 0 \\ but :  \\ c =  {g}^{2} +  {f}^{2}  -  {r}^{2}  \\ c =  { - 25}

8 0
3 years ago
Which shows the triangle when it is translated two units left
Naddika [18.5K]

Answer:

I believe it would be -3, 7?

Step-by-step explanation:

IF we move the entire triangle to the left, that's where the coordinates line up.

Hope it helps?

6 0
3 years ago
-3x-y=9
Lina20 [59]

Answer:

D: no solution

...because none of the answers work for both of the equations when you plug in the x and y values

4 0
3 years ago
Can u answer fast please
Gnesinka [82]

C. e

Step-by-step explanation:

ln( {e}^{e} )  = e ln(e )  = e(1) = e

6 0
1 year ago
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