Quiz 1.3

Suppose a baseball player had a batting average of 0.226. What percent of pitches thrown do you expect him to hit? Give the most exact answer possible.

0.226 x 100= 22.6%

BYU basketball player Elijah Bryant scored an average of 18 points per game in the 2017-18 season. Suppose BYU scored 84 points in their last game of the season. What percentage of points made by BYU can you expect to be made by Bryant? Round your answer to the nearest percent.

18/84= 0.2143 0.2143x100= 21.43% Rounding= 21%

Adults 18 or older are recommended to get about 1.8 hours of REM sleep per night. Suppose that REM makes up about 25% of your sleep. What is the minimum number of hours of sleep you need per night? Round your answer to the nearest tenth of an hour.

25% is the same as 1/4 so 1.8 x 4 = 7.2 hours of sleep per night

The probability of dying in a car crash in Utah is 1/6778, and the odds of dying in a plane crash are 1/11 million. Find a percentage that represents how many more people die in a fatal car accident than a plane crash in Utah. Assume the population of Utah is 2959879. Round your answer to the nearest percent.

2959879/6778 - 2959879/11000000 / 2959879/11000000 x 100= (1/6778 - 1/11000000) x 11000000=162190%

The 2015-2016 Golden state warriors (NBA) seemed to be on pace to break the 1995-1996 Chicago Bulls record for wins in a single season. The Bulls' record that year was 72-10 (wins-losses). In early 2016, the warriors had a record of 56-6. What was the percentage of the team with the highest winning percentage? Round your answer to the nearest tenth of a percent.

Bulls: 72/82=0.878x100=87.8% Warriors: 56/62=0.903x100= 90.3% Warriors: 90.3%

About 99% of the military has a high school education or higher, whereas 90% of the US population over the age of 25 has completed high school. If 100 military personnel and 180 other randomly selected US residents are in a room, what fraction of the people in the room would you expect to have a high school education? Simplify your answer.

First, we find the percentages of the crowd who have completed high school, which gives us0.99 × 100 = 99and0.90 × 180 = 162Then we add them together, which gives us 99 + 162 = 261 The total is 280, so our fraction is 261/280.

The following question is from the article "March Madness Stats and Facts." Given that there are 17.5 million barrels of American beer produced in March and 14 million on average produced during each of the other months, what percentage of the total yearly amount of beer is produced in March? Round your answer to the nearest tenth of a percent.

How much beer is produced each year?beer produced in March + beer produced during the other 11 months of the year= 17.5 + (14 × 11) = 171.5 million gallons of beerNext we need to find the percentage of the beer produced in March compared to the beer produced throughout the rest of the year.17.5 ÷ 171.5 = 0.102, or approximately 10.2%.

The following comes from the article "Making Milk with Juice from the Sun." The solar panels the Batemans installed on their property take the space of almost 2 football fields and will provide 20% of the energy the farm needs. About how many football fields' worth of energy would it take to provide the entire energy supply for the Bateman dairy farm?

If it takes almost 2 football fields' worth of solar panels to provide 20% of the energy the farm needs, we need to find about how many football fields it would take to provide 100% of the farm's needs. How many groups of 20% are in 100%? 5 groups. With multiplication, we find that2 × 5 = 10, so the farm would need 10 football fields' worth of energy to provide the entire energy supply for the dairy farm.

The following comes from the article "Making Milk with Juice from the Sun." The solar panels the Batemans installed on their property take the space of almost 2 football fields and will provide 20% of the energy the farm needs. About how many football fields' worth of energy would it take to provide the entire energy supply for the Bateman dairy farm?

If it takes almost 2 football fields' worth of solar panels to provide 20% of the energy the farm needs, we need to find about how many football fields it would take to provide 100% of the farm's needs. How many groups of 20% are in 100%? 5 groups. With multiplication, we find that2 × 5 = 10, so the farm would need 10 football fields' worth of energy to provide the entire energy supply for the dairy farm.

The infographic states that "20%-30% of people who fall suffer moderate to severe injuries." It also states that "1 in 3 adults age 65 and older fall each year." What percent of adults age 65 and older suffer a moderate or severe injury from a fall each year? Give any answer within the correct range.

One in three adults over 65 suffer from falls, so 1/3. That's 33.33%. Since 20-30% of those suffer an injury, we have 33.33 × 0.2 to 33.33 × 0.3, which is 6.66% to 9.99% of adults over 65 who suffer an injury from falling.

Assume that to graduate with a baccalaureate degree from college, you need at least 120 credit hours. Suppose you have taken 96 credit hours. What is the minimum percent that you have left to complete your degree?

One way to solve this problem is to divide the number of completed credits by the total required credits, giving you the percent decimal. Then subtract it from 1. 1-(96/120)= 0.2 To convert the decimal to a percentage, you must multiply your answer by 100.0.2 × 100 = 20%

The following question refers to the information from this infographic: "Clean Hands and Your Food Factory." According to the infographic, "80% of all infections are transferred by the hands." What fraction of infections are transferred by hand-to-hand contact? Turn the fraction to an exact decimal to submit.

The graphic says that "80% of all infections are transferred by the hands." 80% is 0.80, or 80/100. We Can simplify this: 80/100= 4(20)/5(20)= 4/5 x 20/20= 4/5 Answer= 0.8

Suppose you got a raw score of 49/60 on your history exam. Your teacher says that if you get all of the extra credit right then your grade will go up 5%. How many points is the extra credit worth?

There are a few ways you can solve this problem.Option 1:First calculate the percentage of the raw score49/60 = 0.8167Then add 5%, which is the same as 0.05.0.8167 + 0.05 = 0.8667To change this back to a fraction we multiply:0.8667 × 60 = 52The difference between 52 and 49 is 3 points, which is our answer. Option 2:Another way to do this is to simply multiply 60 × 0.05 = 3 points.

In the 2018 World Cup, the Croatia team attempted 115 shots and scored 29 goals. Calculate their accuracy percentage and round to the nearest tenth of a percent.

To calculate their percentage we divide the number of shots they made divided by the total number of shots they attempted.29 / 115 = 0.2522Then we multiply by 100 to get the percentage.0.2522 × 100 = 25.22%Rounding to the nearest tenth gives us 25.2%.

BYU basketball player Payton Dastrup enters a three-point shooting contest. According to BYU statistics from the 2017-18 season, Dastrup's three-point shooting average is 0.433. The winner of the contest is the shooter with the most points after 45 seconds, and each contestant gets to shoot 15 shots. What is the minimum number of shots that Dastrup needs to make to reach his average score?

To find the number of shots that Dastrup needs to make, we need to multiply his three-point shooting average times the total number of shots he could make.15 × 0.433 = 6.495We round up to 7 shots to get the minimum number of shots he needs to make to reach his average.

To qualify for a certain level of state funding, schools need to have a minimum graduation rate of 80%. Suppose you have 3,500 seniors at your school. What fraction of them need to graduate from the school to qualify for state funding? Write your answer in the form of a fraction (numerator/denominator, or 1/200). Do not simplify your answer.

To find the number of students that need to graduate, we multiply:3500 × 0.80 = 2800 studentsAs a fraction, this is 2800/3500

Some bears spend up to 7 months of the year in hibernation (sleeping). Find the maximum percentage of time that a bear spends hibernating. Round your answer to the nearest tenth of a percent.

To find the percentage of time bears spend hibernating, we need the number of months in hibernation divided by the total number of months in a year.7 / 12 = 0.5833 To get a percentage, we multiply by 100.0.5833 × 100 = 58.33%Rounding to the nearest tenth gives us 58.3%.

The infographic states that "1 in 3 adults age 65 and older fall each year, yet less than half" of those who fall mention their fall to a healthcare provider. What fraction of adults age 65 and older who fall in a given year report their falls to a healthcare provider? Change to a decimal to submit and round to the nearest thousandth.

We know 1/3 of adults age 65 and older fall each year, but only 1/2 of those who fall tell a healthcare provider. We want to know 1/2 of 1/3, which is 1/6 of the total falls. Answer=0.167

The following question is from the article "MML Sets Record with More than 80 Million Streams," which contains some interesting statistics from March Madness. According to the statistics, 80.7 million people watched the tournament on NCAA March Madness Live. What percentage of the world's population watched the 2015 tournament via NCAA March Madness Live? Round your answer to the nearest hundredth of a percent. Assume the world's population is 7.0 billion.

We need to convert the fraction 80700000/7000000000 80700000 ÷ 7000000000 = 0.0115 = 1.15% of the world's population watched the 2015 NCAA tournament.

In baseball, a batter's ability to hit the ball is measured by his batting average, which is usually represented by a decimal. This decimal is found by taking the number of times the batter has hit the ball and dividing it by how many times the batter was pitched to. The resulting answer is then rounded to the nearest thousandth.Suppose a baseball player had a batting average of 0.356. What percent of pitches thrown do you expect him to hit? Give the most exact answer possible.

When converting a decimal to a percent, all we have to do is multiply by 100.0.356 × 100 = 35.6%So the answer is 35.6.