Math 50 7.1 – Ratios, Probability, and Rates 1. 2.
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Transcript of Math 50 7.1 – Ratios, Probability, and Rates 1. 2.
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Math 50
7.1 – Ratios, Probability, and Rates
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A comparison between two quantities using a quotient is called a _______.
ex: If there are 12 males and 18 females in a team, then…
ratio of males to females
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A comparison between two quantities using a quotient is called a _______.
ex: If there are 12 males and 18 females in a team, then…
ratio of males to females
ratio
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A comparison between two quantities using a quotient is called a _______.
ex: If there are 12 males and 18 females in a team, then…
ratio of males to females
ratio
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A comparison between two quantities using a quotient is called a _______.
ex: If there are 12 males and 18 females in a team, then…
ratio of males to females
ratio
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A comparison between two quantities using a quotient is called a _______.
ex: If there are 12 males and 18 females in a team, then…
ratio of males to females
ratio
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Ex 1.The steepness of a roof (called the pitch, or slope) is the ratio of the vertical rise to horizontal length. What is the slope of a roof with 8 inches of vertical rise for every 12 inches of horizontal length?
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Ex 1.The steepness of a roof (called the pitch, or slope) is the ratio of the vertical rise to horizontal length. What is the slope of a roof with 8 inches of vertical rise for every 12 inches of horizontal length?
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Ex 1.The steepness of a roof (called the pitch, or slope) is the ratio of the vertical rise to horizontal length. What is the slope of a roof with 8 inches of vertical rise for every 12 inches of horizontal length?
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Ex 2.A recipe calls for cups of water and of a cup of oatmeal. Write the ratio of water to oatmeal in simplest form.
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Ex 3.The screen of a typical movie theater is 1.85 units of length for every 1 unit of height. Write this ratio of length to height as a fraction in simplest form.
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A __________ is a number from 0 to 1 that represents the chances that something will happen. 0 means it is impossible. 1 means it is certain to happen. ex: If you flip a coin, the probability of getting a heads is ___. Why? _______________________________________
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A __________ is a number from 0 to 1 that represents the chances that something will happen. 0 means it is impossible. 1 means it is certain to happen. ex: If you flip a coin, the probability of getting a heads is ___. Why? _______________________________________
probability
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A __________ is a number from 0 to 1 that represents the chances that something will happen. 0 means it is impossible. 1 means it is certain to happen. ex: If you flip a coin, the probability of getting a heads is ___. Why? _______________________________________
probability
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A __________ is a number from 0 to 1 that represents the chances that something will happen. 0 means it is impossible. 1 means it is certain to happen. ex: If you flip a coin, the probability of getting a heads is ___. Why? _______________________________________
probability
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A __________ is a number from 0 to 1 that represents the chances that something will happen. 0 means it is impossible. 1 means it is certain to happen. ex: If you flip a coin, the probability of getting a heads is ___. Why? _______________________________________
probability
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A __________ is a number from 0 to 1 that represents the chances that something will happen. 0 means it is impossible. 1 means it is certain to happen. ex: If you flip a coin, the probability of getting a heads is ___. Why? _______________________________________
probability
Since there is 1 way to get a heads out of 2 possible outcomes.
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In general, the theoretical probability of equally likely outcomes is the following ratio:
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
𝟏𝟔
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
𝟏𝟔
1, 3, 5
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
𝟏𝟔
36=𝟏𝟐
1, 3, 5
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
𝟏𝟔
36=𝟏𝟐
1, 3, 5
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
𝟏𝟔
36=𝟏𝟐
06=𝟎
1, 3, 5
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Ex 4.Write the following probabilities in simplest form.What is the probability of rolling a 3 on a six-sided die?
What is the probability of rolling an odd number on a six-sided die? What is the probability of rolling a 7 on a six-sided die?
𝟏𝟔
36=𝟏𝟐
06=𝟎
1, 3, 5
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A ratio in which the denominator is 1 is called a ___________.
ex: $1.19 per pound $4.25/gallon 24 students per professor
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A ratio in which the denominator is 1 is called a ___________.
ex: $1.19 per pound $4.25/gallon 24 students per professor
unit ratio
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Ex 5.A family has a total debt of $7842 and a gross income of $34,240. Write the debt-to-income ratio as a unit ratio, and interpret the result.
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Ex 6.Which of the following is a better buy?Option A: -ounce can of soup for ₵ Option B: -ounce can of soup for
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Another commonly used word for ratio is _____.
For example, interest rate, exchange rate (0.8 euros per dollar), going rate of gasoline ($4.25 per gallon), rate at which you are moving (70 miles per hour). Typically rates are written as unit ratios.
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Another commonly used word for ratio is _____.
For example, interest rate, exchange rate (0.8 euros per dollar), going rate of gasoline ($4.25 per gallon), rate at which you are moving (70 miles per hour). Typically rates are written as unit ratios.
rate
