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FinnZ [79.3K]
2 years ago
14

16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips

Mathematics
1 answer:
kykrilka [37]2 years ago
6 0

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

<em>Additional comment</em>

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

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Which similarity statements are true? Check all that apply. △JKL ~ △KML △JKM ~ △JKL △JKM ~ △KML △JMK ~ △JKL △JMK ~ △KML
Aliun [14]
The answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other, 

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
5 0
3 years ago
Read 2 more answers
Explain the relationship between place values, and how the place values change as you go to the left and to the right. Use the n
Mashutka [201]

A place value chart can help us in finding and comparing the place value of the digits in numbers through millions. The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.

8 0
2 years ago
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A book has 500 pages numbered 1,2,3 and so on. How many times does the digit 1 appear in the page numbers?
elena-14-01-66 [18.8K]

Answer:

200

Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

1 - 9

One only appears once.

1

10 - 19

One appears 11 times.

1 + 11

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One only appears 8 times.

1 + 11 + 8

Add:

1 + 11 + 8

=> 20

Since the same is for  200-299, and so on. Let us add twenty four times.

20 * 4

=> 80

Looking back to 100-199, there are 120 ones.

Add:

120 + 80

=> 200

4 0
3 years ago
Use a graph to solve the equation. Check your solution.
nikklg [1K]
1) x=1
2) x=2.9
3) x=-10
4) x=?
5) IDK
4 0
3 years ago
247÷10^2 and 247 ×10^2
Shalnov [3]
PEMDAS:
247/100 = 2.47
247* 100 = 24700
*You must ALWAYS apply the exponents first, THEN divide the equation.
7 0
3 years ago
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