A pyramid has a square base that is 160 m on each side. What is the perimeter of the base in kilometers? Question 19 options:
1 answer:
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He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.
Step-by-step explanation:
Given,
Olive oil used in recipe = 23 cups
Cinnamon used in recipe = 2 teaspoons
Ratio of cinnamon to olive oil in recipe = 2:23
Cinnamon Leon has = 1 teaspoon
Let x be the olive oil.
Ratio of available cinnamon to olive oil = 1:x
Using proportion;
Ratio of cinnamon to olive oil in recipe :: Ratio of available cinnamon to olive oil
Product of extreme = Product of mean
Dividing both sides by 2;
11.5 can also be written as
He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.
Keywords: ratio, proportion
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Answer:
The expected value of betting $500 on red is $463.7.
Step-by-step explanation:
There is not a fair game. This can be demostrated by the expected value of betting a sum of money on red, for example.
The expected value is calculated as:
being G the profit of each possible result.
If we bet $500, the possible outcomes are:
- <em>Winning</em>. We get G_w=$1,000. This happens when the roulette's ball falls in a red place. The probability of this can be calculated dividing the red slots (half of 36) by the total slots (38) of the roulette:
- <em>Losing</em>. We get G_l=$0. This happens when the ball does not fall in a red place. The probability of this is the complementary of winning, so we have:
Then, we can calculate the expected value as:
We expect to win $463.7 for every $500 we bet on red, so we are losing in average $36.3 per $500 bet.