Percentages
941 is what % of 729 employees
129.1%
The prefix giga means 1 billion. Write 20 gigabytes in scientific notation.
2 x 1010 bytes
Determine whether the source of error represents random or systematic error:
An answer key used for grading has incorrect answers.
Systematic
The price index for 2000 is 155.0. The price index for 1955 is 29.1.
Find what the price index for 1955 would be if the price in 2000 is taken as the reference value
20.1
What is it called when the percentage of a small group within a study seems to show a different conclusion from the percentage of the whole study?
Simpson's Paradox
You have a goal of earning $2570. If you have earned $535, what percent of your goal has been reached?
20.8%
Determine by what factor the numbers differ. In other words, determine how many times larger the first number is than the second:
1048, 1016
1032
Determine whether the source of error represents random or systematic error:
Sometimes a person makes mistakes in counting in their head.
Random
Suppose you needed $56,000 to maintain a particular standard of living in 2000. How much would you have needed in 1990 to maintain the same standard of living? The CPI in 1990 is 130.7 and in 2000 is 172.2
$43,000
120 people have a certain disease and were tested for it. 108 people tested positive, and 12 tested negative. What percentage of those that have the disease tested positive?
90%
97.9 is what percent of 6
1631.7%
Determine by what factor the numbers differ. In other words, determine how many times larger the first number is than the second:
1025, 1015
1010
Use the appropriate rounding rule to answer the question with the correct precision: You have covered 72.6 miles of a 1600 mile trip. How much further do you have to go?
1500 miles
Suppose a movie ticket costs $7.50 in 2010. How much would a movie ticket have cost in 1986? The CPI for 1986 is 109.6 and for 2010 is 218.1.
$3.77
9880 people tested for a disease but do not have the disease. Out of the 9880 people who do not have the disease, 1105 people tested positive and 8775 tested negative. What is the percentage of false positives?
11.2%
Find the absolute and relative change in value of a house that was purchased for $160,000 and 20 years later is $1.38 million
Absolute: $1,220,000
Relative: 762.5%
The distance from the earth to the sun is 92,900,000 miles. How long would it take a rocket travelling 2.9x103 miles per hour to reach the sun? (give your answer in hours)
3.2x104 hr
State the number of significant digits and the implied precision of the given number:
0.00067 meter
2 significant digits, nearest 0.00001 meter
The CPI in 2004 is 188.9 and in 2005 is 195.3. Find the inflation rate from 2004 to 2005
3.39%
50 girls and 50 boys take a test, then take it a second time. 35 girls showed improvement, and 15 girls got the same score. 25 boys showed improvement, and 25 boys got the same score. What percentage of students showed improvement?
60%
If sales tax is 2%, and total sales including tax are $1591.62, what is the tax amount?
$31.21
Find the scale ratio for a map if 6 inches on the map represents 7 miles on the ground
1 mile=5280 ft
1:73,920
The true velocity of a car is calculated to be 345.5 m/s. Using technology that gets disrupted by the doppler effect, the speed of the car is measured to be 360 m/s. Find the relative error of the measurement.
4.2%
The average cost of a car in 1992 was $11,580. What would a similar car have cost in 2012?
CPI1992=140.3
CPI2012=229.6
$18,950.59
100 girls and 100 boys take a test. 60 girls studied for the test and 20 boys studied for the test. Of the 60 girls that studied, 50 of them passed the test. Of the 40 girls that did not study, 20 of them passed the test. Of the 20 boys that studied, 15 of them passed the test. of the 80 boys that did not study, 60 of them passed the test.
Make a table. What is the percentage of all students that studied and passed the test. What is the percentage of girls that studied that passed and boys that studied that passed?
All: 81.25%
Girls that studied: 83.3%
Boys that studied:75%