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BaLLatris [955]
3 years ago
8

Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes str

aight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values?Given the outcomes below, find their associated X values.Outcome: RRL AARRL AARL RRAL ARLx= _____
Mathematics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

The possible X values are the natural numbers.

RRL: X=3

AARRL: X=5

AARL: X=4

RRAL: X=4

ARL: X=3

Step-by-step explanation:

Since we are going to observe the cars and the experiment will end when one of them turns left, and X is the number of cars observed, the possible X values will be the natural numbers (1,2,3....). Clearly we can observe any number of cars before one of them turns left. We cannot observe negative numbers of cars, or zero cars (We are going to observe at least one car), or fractions of cars.

Given the outcomes below, find their associated X values:

For this part of the problem, we are going to count how many cars we observed in total and that will be the X value.

RRL: X=3

AARRL: X=5

AARL: X=4

RRAL: X=4

ARL: X=3

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Given that the graph of the parabola.

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<u>Vertex:</u>

The vertex of the parabola is the point at which the parabola changes its direction.

From the graph, it is obvious that the parabola changes its direction at the point (-2,0)

Hence, the vertex of the graph is (-2,0)

<u>Axis of symmetry:</u>

The axis of symmetry is the line that divides the parabola exactly into two equal halves.

Hence, from the graph, it is obvious the line x = -2 divides the graph exactly into two equal halves.

Hence, the axis of symmetry is x = -2.

<u>y - intercept:</u>

The y - intercept of the parabola is the value of y when x = 0.

In other words, the y - intercept of the graph is the value of y when the line passes through the y - axis.

Thus, from the graph it is obvious that when x = 0, the value of y is -3.

Hence, the y - intercept of the graph is -3.

6 0
3 years ago
One circular table has a diameter of 9 ft, and another circular table has a diameter of 20 ft. How much greater is the area of t
morpeh [17]
Smaller circle:
diameter = 9 ft
radius = diameter/2 = (9 ft)/2 = 4.5 ft
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Larger circle:
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5 0
3 years ago
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Answer: Function A; 14 meters per seond

Step-by-step explanation:

do Distance/time for Function A: so you can show 140/10, or 280/20, it doesnt matter as they are all constant/consistent.

A has a rate of 14 m/s

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6 0
3 years ago
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4 0
3 years ago
Which statements are true regarding the area of circle
Pavlova-9 [17]

<u>Question:</u>

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

The area of circle D is 324Pi centimetres squared

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle.

<u>Answer:</u>

<u>The following statements are true regarding the area of circle D: </u>

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<u>Step-By-Step Explanation:</u>

As we know, the formula for area of the circle is given by,

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Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

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From this, concluding that the circle area depends on radius square and its value is 324 \pi \mathrm{cm}^{2}. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).  

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).

6 0
3 years ago
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