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2 years ago

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.

_____

Additional comment

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

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3 years ago

Mr. Gonzazales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each includin

erica [24]

Answer:

He can buy 3 bracelets.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be $x.$

Price of each bracelets = 4.50.

Total amount to spend = 42.50.

Number of t-shirts = 29.

Now, to get the number of bracelets we put an equation:

$29+4.50\times x=42.50\\\\29+4.50x=42.50$

Subtracting both sides by 29 we get:

$4.50x=42.50-29\\\\4.50x=13.5$

Dividing both sides by 4.50 we get:

$x=3.$

The number of bracelets = 3.

Therefore, he can buy 3 bracelets.

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3 years ago