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Ne4ueva [31]
3 years ago
15

Andrew drives through 5 intersections with stoplights on his way to work. He records that he is stopped by a red light in 2 of t

he 5 intersections. If he uses this as his general probability of getting stopped at a red light on his way to or from work, how many times can he expect to be stopped at a red light over the next 40 times he drives through an intersection on his route? Andrew should expect to be stopped times.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

He should expect to be stopped a total of 16 times

Step-by-step explanation:

What the question is saying is that out of every 5 intersections, he would be stopped at 2.

Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped

In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times

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Isolating s, the equation written in terms of s is:

s = 12 - 0.5b

-------------------------

  • The equation for the length of the third side, as stated in the problem,("Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side") is:

b = 24 - 2s

  • To solve for the lengths of the congruent sides, we isolate s, thus:

b = 24 - 2s

2s = 24 - b

Inverse of multiplication is division, thus:

s = \frac{24 - b}{2}

Separating into two fractions:

s = \frac{24}{2} - \frac{b}{2}

Solving each fraction:

s = 12 - 0.5b

A similar problem is given at brainly.com/question/5123313

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36 x 10^5 in scientific notation
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Answer:

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The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
Likurg_2 [28]

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

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There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

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For the sides 24 ft and c ft,

24+c > 30\\c > 30-24\\c > 6

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

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