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likoan [24]
3 years ago
5

A vehicle arriving at an intersection can turn right, turn left, or continue straight ahead. The experiment consists of observin

g the movement of a single vehicle through the intersection.
A) List the sample space for this experiment.
B) Assuming that all sample points are equally likely, find the probability that the vehicle turns.
Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

a) Sample space (S) = {TR, TL, Cs}

b) Pr(Vehicle Turns) = 2/3.

Step-by-step explanation:

a) By sample space (S) we mean the list all possible outcome of an event. From the illustration in the question, only three (3) outcome is possible:

i) Vehicle Turn Right (TR)

ii) Vehicle Turn Left (TL)

iii) Continue Straight ahead (Cs)

And since the experiment consists of observing the movement of a single vehicle through the intersection, then, the sample space (S) is:

==> {TR, TL, Cs}

b) Since we are assuming that all sample points are equally likely, it imply that they have equal probability of occurring. And by probability:

Pr(TR) = 1/3

Pr(TL) = 1/3

Pr(Cs) = 1/3

Meanwhile, the question wants us to find the probability that the vehicle turns. This means, the vehicle turning either right or left. Thus;

Pr(vehicle turns) = Pr(TR) or Pr(TL) = Pr(TR) + Pr(TL)

Pr(vehicle turns) = (1/3) + (1/3) = 2/3

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Answer:

take 175 cubed

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Step-by-step explanation:

I hope this helped a little

7 0
3 years ago
Read 2 more answers
49 ÷ 43 = sorry guys about the bad question its actually 4 to the 9th power divided by 4 to the third power
zalisa [80]
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
  Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
  Therefore; 4×4×4×4×4×4=4096
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5 0
3 years ago
Jimmy walked from his house, to school, then to the store, and finally back home. The distance from the school to the store
Blababa [14]

The distance from Jimmy's house to the school is 400 meters.

Step-by-step explanation:

Step 1; Assume that the distance between Jimmy's house and his school is x meters. So from the given data, we can form these

Distance from his house to the school = x,

Distance from his school to the store = Distance from his house to the school + 100 = x + 100,

Distance from the store to his house = Distance from his house to the school + 175 = x +175.

Step 2; It is given that the total distance Jimmy walked was 1,475 meters. Jimmy walked a total of three trips so,

x + x + 100 + x + 175 = 1,475,

3x + 275 = 1,475,

3x = 1,475 - 275 = 1,200,

x = 400.

So distance from Jimmy's house to school = 400 meters,

Distance from his school to the store = 400 + 100 = 500 meters,

Distance from the store to his house = 400 + 175 = 575 meters.

8 0
3 years ago
-1/2-(-1)-(1/4) help needed plz
quester [9]

Answer:

1/4

Step-by-step explanation:

-1/2-(-1)-(1/4)

-1/2-(-1)

= 1/2

1/2-(1/4)

=1/4

So, -1/2-(-1)-(1/4)= 1/4

Hope this helps

-Amelia

3 0
3 years ago
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Find the measure of the numbered angles in the rhombus. The diagram is not to scale.
Airida [17]
Okay, now it is clear. Angle 2 is 41, angle 3 is 90-41=49. the answer is D
3 0
2 years ago
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