compare - estimate, measure, or note the similarity or difference between
A professor wanted to test all possible pairwise comparisons among six means. How many comparisons dA professor wanted to test all possible pairwise comparisons among six means. How many comparisons did he need to compare?
a. 5
b. 6
c. 10
d. 15
[B]d. 15[/B] using our [URL='http://www.mathcelebrity.com/permutation.php?num=6&den=2&pl=Combinations']combinations calculator[/URL]
A Septonian said he had eaten .5 of his cookie while an American said he had eaten .5 of his cookie.A Septonian said he had eaten .5 of his cookie while an American said he had eaten .5 of his cookie. Who ate more? Why?
[LIST]
[*]The Septon ate 5 groups of 1/7 or 5/7
[*]The American ate 5 groups of 1/10 or 5/10 which is 1/2
[/LIST]
[URL='https://www.mathcelebrity.com/fraction.php?frac1=5/7&frac2=5/10&pl=Compare']5/7 is larger[/URL], so the Septoian ate more.
Benchmark FractionsFree Benchmark Fractions Calculator - Adds or Subtracts or Compares 2 fractions using estimating sums or estimating differences with benchmark fractions.
Benfords LawFree Benfords Law Calculator - Shows you Benfords Law and evaluates a data set compared to Benfords Law
Can a coefficient of determination be negative? Why or why not?Can a coefficient of determination be negative? Why or why not?
[B]Yes, reasons below[/B]
[LIST]
[*] predictions that are being compared to the corresponding outcomes have not been derived from a model-fitting procedure using those data
[*] where linear regression is conducted without including an intercept
[*] Yes, negative values of R2 may occur when fitting non-linear functions to data
[/LIST]
Compare a decimeter to a meter using percents. (A decimeter is what percent of a meter?)Compare a decimeter to a meter using percents. (A decimeter is what percent of a meter?)
1 decimeter = 0.1 meters, so [B]10%[/B]
Compare a gallon to a quart using percent. (A gallon is what percent of a quart?)Compare a gallon to a quart using percent. (A gallon is what percent of a quart?)
[URL='https://www.mathcelebrity.com/liqm.php?quant=1&pl=Calculate&type=gallon']1 gallon [/URL]= 4 quarts
So we have [B]400%[/B]
Compare RaisesFree Compare Raises Calculator - Given two people with a salary and annual raise amount, this determines how long it takes for the person with the lower salary to catch the person with the higher salary.
Compared to the normal distribution, the t distribution has ___ values at the top and ___ at the taiCompared to the normal distribution, the t distribution has ___ values at the top and ___ at the tails.
a. More; less
b. More; more
c. Less; less
d. Less; more
[B]d. Less; more[/B]
[I]t value chart is wider and flatter[/I]
Comparison of NumbersFree Comparison of Numbers Calculator - Compares two numbers and checks to see if they are equal to one another, if the first number is greater than the second number, or the first number is less than the second number. Minimum and maximum.
Coupon ComparisonFree Coupon Comparison Calculator - Given a cost of goods, a dollar off coupon, and a percentage off coupon, this calculator will compare the two deals and determine which one is of more value. If the dollar coupon wins, the calculator will project the break even price where the dollar coupon would surpass the percentage coupon
Death Valley in California is 282 feet below sea level. Grant Hill Park, which is right across fromDeath Valley in California is 282 feet below sea level. Grant Hill Park, which is right across from our school is 167 feet above sea level. How many feet higher is Grant Hill compared to Death Valley?
Below sea level is written as a negative, so we have:
Difference in feet = 282 - (-167)
Difference in feet = [B]449 feet[/B]
Ellen reads 23 pages in 40 minutes. Rob reads 9 pages in 16 minutes. Who is the faster reader? JuEllen reads 23 pages in 40 minutes. Rob reads 9 pages in 16 minutes. Who is the faster reader? Justify your answer.
Compare in terms of pages per minute.
Ellen = 23 pages / 40 minutes =0.575 pages per minute
Rob = 9 pages / 16 minutes = 0.5625 pages per minute
[B]Ellen reads faster.[/B]
Express the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. SExpress the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. Solve for x.
Let's build this algebraic expression in pieces:
The phrase [I]differs from[/I] means a difference.
x - 3
By less than 2/7 means we use the < sign compared to 2/7
x - 3 < 2/7
Finally, the problem says we involve absolute value. So we write this as:
[B]|x - 3| < 2/7[/B]
Fractions and Mixed NumbersFree Fractions and Mixed Numbers Calculator - Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Addition (Adding)
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions
* reduce a fraction
Greg runs 120 m in 20 seconds. How far can he run in one minute?Greg runs 120 m in 20 seconds. How far can he run in one minute?
We want to compare seconds to seconds.
[URL='https://www.mathcelebrity.com/timecon.php?quant=1&pl=Calculate&type=minute']1 minute[/URL] = 60 seconds
Set up a proportion of meters to seconds where m is the meters ran in 60 seconds:
120/20 = m/60
To solve this proportion for m, we [URL='https://www.mathcelebrity.com/prop.php?num1=120&num2=m&den1=20&den2=60&propsign=%3D&pl=Calculate+missing+proportion+value']type it in our search engine[/URL] and we get:
m. = [B]360 meters[/B]
I make 750 toys in 10 hours how many can I make in 4 minutesI make 750 toys in 10 hours how many can I make in 4 minutes
Convert 10 hours to 4 minutes so we can compare minutes to minutes:
10 hours * 60 hours per minute = 600 minutes
Now set up a proportion of toys to minutes where t is the number of toys made in 4 minutes:
750/600 = t/4
[URL='https://www.mathcelebrity.com/prop.php?num1=750&num2=t&den1=600&den2=4&propsign=%3D&pl=Calculate+missing+proportion+value']Type this proportion into our search engine and we get[/URL]:
t = [B]5[/B]
Imagine a researcher wanted to test the effect of the new drug on reducing blood pressure. In this sImagine a researcher wanted to test the effect of the new drug on reducing blood pressure. In this study, there were 50 participants. The researcher measured the participants' blood pressure before and after the drug intake. If we want to compare the mean blood pressure from the two time periods with a two-tailed t test, how many degrees of freedom are there?
a. 49
b. 50
c. 99
d. 100
[B]a. 49[/B]
Degrees of Freedom = n - 1
Degrees of Freedom = 50 - 1
Degrees of Freedom = 49
In 2000 a company increased its workforce by 50%. In 2001 it decreased its workforce by 50%. How doeIn 2000 a company increased its workforce by 50%. In 2001 it decreased its workforce by 50%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
Let w be the size of the workforce before any changes. We have:
[LIST]
[*]w(2000) = w(1999) * 1.5 [I](50% increase is the same as multiplying by 1.5)[/I]
[*]w(2001) = w(2000)/1.5 [I](50% decrease is the same as dividing by 1.5)[/I]
[/LIST]
Substitute the first equation back into the second equation
w(2001) = w(1999) * 1.5/1.5
Cancel the 1.5 on top and bottom
w(2001) = w(1999)
This means the workforce had [B]zero net change[/B] from the beginning of 2000 to the end of 2001.
In a golf tournament Ned was 4 under par on Saturday and 5 over or on Sunday. What is the differenceIn a golf tournament Ned was 4 under par on Saturday and 5 over or on Sunday. What is the difference in his score on Sunday compared to his score on Saturday
Givens and opening thoughts:
[LIST]
[*]Think of par as 0 or average.
[*]Under par is negative
[*]Over par is positive
[*]We have 4 under par as -4
[*]We have 5 over par as +5
[/LIST]
The difference is found by subtracting:
+5 - -4
+5 + 4
[B]9 strokes[/B]
In a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind presIn a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind pressure is a measure of a hurricane's destruction capacity, what happens to this destructive power when the wind speed doubles?
Let P = pressure and v = velocity (wind speed)
We are given p = v^2
Double velocity, so we have a new pressure P2:
P2 = (2v)^2
P2 = 4v^2
Compare the 2:
p = v^2
p = 4v^2
Doubling the wind speed [B]quadruples, or 4 times[/B] the pressure.
In Trina's desk drawer, there are 15 paper clips and 18 rubber bands. In Kirk's office supply tray,In Trina's desk drawer, there are 15 paper clips and 18 rubber bands. In Kirk's office supply tray, there are 13 paper clips and 16 rubber bands. Who has a higher ratio of paper clips to rubber bands?
Trina: 15/18
Kirk: 13/16
We want common denominators to compare, so we get a greatest common factor (GCF) for 16 and 18.
[URL='https://www.mathcelebrity.com/gcflcm.php?num1=16&num2=18&num3=&pl=GCF+and+LCM']Running this through our search engine[/URL], we get GCF(16, 18) = 144
For Trina, 144/18 = 8
For Kirk, 144/16 = 9
We multiply Trina's fraction, top and bottom by 8:
15 * 8 / 18 * 8
120/144
We multiply Trina's fraction, top and bottom by 8:
13 * 8 / 16 * 8
104/144
[B]Trina[/B] has more in her numerator, so her ratio of paper clips to rubber bands is greater.
Is 20% equivalent to 2/5?Is 20% equivalent to 2/5?
Let's compare fractions to fractions:
20% equals 1/5 from our [URL='https://www.mathcelebrity.com/perc.php?num=+5&den=+8&num1=+16&pct1=+80&pct2=+90&den1=+80&pct=20&pcheck=4&decimal=+65.236&astart=+12&aend=+20&wp1=20&wp2=30&pl=Calculate']percentage-decimal-fraction calculator[/URL].
1/5 < 2/5 so these fractions are [B][I]not equivalent[/I][/B].
Is 5 over 3 equivalent to 9 over 6?Is 5 over 3 equivalent to 9 over 6?
Using our fraction [URL='http://www.mathcelebrity.com/fraction.php?frac1=5/3&frac2=9/6&pl=Compare']comparison calculator[/URL]:
[B]5/3 > 9/6[/B]
Jeremy ran 27 laps on a track that was 1/8 mile long. Jimmy ran 15 laps on a track that as 1/4 mileJeremy ran 27 laps on a track that was 1/8 mile long. Jimmy ran 15 laps on a track that as 1/4 mile long. who ran farther
[U]Calculate Jeremy's distance:[/U]
Distance = Laps * Track length
Jeremy distance = 27 * 1/8
Jeremy distance = 27/8
[U]Calculate Jimmy's distance:[/U]
Distance = Laps * Track length
Jeremy distance = 15* 1/4
Jeremy distance = 15/4
[COLOR=#000000]Using our [URL='https://www.mathcelebrity.com/fraction.php?frac1=27/8&frac2=15/4&pl=Compare']fraction comparison calculator[/URL], we see that [B]Jimmy [/B]ran farther[/COLOR]
John and Maria bought a medium pizza that has 8 slices. If John ate 2/4 slices and Maria ate 3/8, wJohn and Maria bought a medium pizza that has 8 slices. If John ate 2/4 slices and Maria ate 3/8, who ate more pizza?
Using our [URL='http://www.mathcelebrity.com/fraction.php?frac1=2/4&frac2=3/8&pl=Compare']compare fractions,[/URL] we see 2/4 is greater than 3/8. So [B]John [/B]ate more pizza.
John mows 3 lawns in 4 hours, Paul mows 5 lawns in 6 hours. Who mows faster?John mows 3 lawns in 4 hours, Paul mows 5 lawns in 6 hours. Who mows faster?
To see who mows faster, we set up fractions with a common denominator.
You can see this by running this statement in the calculator:
[URL='https://www.mathcelebrity.com/fraction.php?frac1=3/4&frac2=5/6&pl=Compare']3/4 or 5/6[/URL]
You'll see that 5/6 is larger, so Paul mores more lawns per hour.
Juliana answered 42 times correctly on an 80-item quiz, while her sister Angela answered 21 items coJuliana answered 42 times correctly on an 80-item quiz, while her sister Angela answered 21 items correctly on a 40-item quiz. Do they have the same portion of correct answers?
Let's compare based on correct answers to questions:
Juliana = 42/80 = 0.525
Angela = 21/40 = 0.525
So yes, they do have the same portion of correct answers.
But there's another way to solve this:
[LIST=1]
[*]Divide Juliana's the top and bottom of Juliana's fraction by 2.
[*]We picked 2 as a GCF shown in our calculator.
[*]Type [URL='https://www.mathcelebrity.com/gcflcm.php?num1=42&num2=80&num3=&pl=GCF']GCF of 42 and 80[/URL].
[/LIST]
Divide top and bottom of Juliana's fraction by the GCF of 2
42/2 = 80/2 = 21/40
This ratio equals Angela's.
Maria leaves her house and runs west for 6 m miles. She then turns North and runs 5 miles. Maria theMaria leaves her house and runs west for 6 miles. She then turns North and runs 5 miles. Maria then travels east for 7 miles and then south for 5 miles. How far is Maria from her house now?
Maria traveled the same distance north and south of 5 miles. These cancel each other out.
Her 7 mile eastern trip compared to the 6 mile west trip represents a net difference of [B]1 mile[/B]
Which is a better buy 42 bows for $7.14 or 120 bows for $25.20Let's compare in terms of what 1 dollar gets you:
Use our [URL='http://www.mathcelebrity.com/betterbuy.php?p1=42&p2=120&q1=7.14&q2=25.20&pl=Better+Buy']better buy calculator[/URL] to show 120 bows for $25.20 is a better buy.
Which is greater, 3/4 or 2/7Use our [URL='http://www.mathcelebrity.com/fraction.php?frac1=3/4&frac2=2/7&pl=Compare']fraction comparison calculator[/URL]:
[B]3/4 is greater[/B]
Which number is larger? 1.00987 or 1.01Which number is larger? 1.00987 or 1.01
1.01 can be written as:
1 & 1,000/100,000
1.00987 can be written as:
1 & 987/100,000
Since 1,000 > 987, then [B]1.01 is larger
[URL='https://www.mathcelebrity.com/compare.php?num1=1.00987&num2=1.01&pl=Compare']Source[/URL][/B]