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elixir [45]
2 years ago
13

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

straight 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 ARL
x= ____ ____ ____ ____ ____
Mathematics
1 answer:
jasenka [17]2 years ago
7 0

Answer:

Natural numbers (integers greater than zero)

X = 3,  5,  4,  4,  3

Step-by-step explanation:

The least number of cars that can be observed in this experiment is 1, if the first car turns left. On the other hand, the experiment could go on forever if no car ever turns left, thus the highest number of cars approaches infinite.

The possible values of X are integers greater than zero, which are known as the Natural numbers.

If X = number of cars observed, simply count the number of letters in each outcome for the value of X:

Outcome = RRL, AARRL, AARL, RRAL, ARL

            X = 3,  5,  4,  4,  3

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Answer:

26

Step-by-step explanation:

7.5% of 20$ is 1.50, so you add 19.99+1.50 and you get 21.49$. Then all you do is subtract 550 from 21.49 until you can't. You can subtract 21.49 from 550 26 times.

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2 years ago
Sales tax is a function of the price of an item. The amount of sales tax is 0.08 times the price of the item. Use h to represent
Margaret [11]

Option C:

h(x) = 0.08x

Solution:

Given data:

Sales tax is a function of the price of an item.

Let h be the function.

Take x be the price of an item.

Amount of sales tax = 0.08 times price of the item

                                  = 0.08 × x

Amount of sales tax = 0.08x

⇒ h(x) = 0.08x

Hence the function is h(x) = 0.08x.

Option C is the correct answer.

5 0
2 years ago
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
valina [46]

Answer:

\boxed{AC = 2.3}

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

c^2 = a^2+b^2

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

AC^2= (1.5)^2+(\sqrt{3} )^2

AC^2 = 2.25 + 3

AC^2 = 5.25

Taking sqrt on both sides

AC = 2.3

3 0
2 years ago
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Vince would weigh 64 pounds
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The table shows ordered pairs of the function y = 16 + 0.5x . Which ordered pair could be the missing values represented by (x,
lawyer [7]

The <u><em>correct answer</em></u> is:

(8, 20).

Explanation:

We can substitute the values for x in the equation and see if they equal y:

y=16+0.5(0) = 16+0 = 16 ≠ 18. This is not the correct option.

y=16+0.5(5) = 16+2.5 = 18.5 ≠ 19.5. This is not the correct option.

y=16+0.5(8) = 16+4 = 20. This is the correct option.

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