Which is greater? 12%, 8/25, 0.07, 4/25, 0..33
Let's convert each value to decimal form for easier comparison:
12% --> convert percent to decimal by dividing by 100 = 0.12
8/25 --> divide the numerator by the denominator = 8 ÷ 25 = 0.32
0.07 --> already in decimal form
4/25 --> divide the numerator by the denominator = 4 ÷ 25 = 0.16
0.33 --> already in decimal form
Now that we have all the numbers in decimal form, let's list them to easily compare:
- 0.12 (12%)
- 0.32 (8/25)
- 0.07 (0.07)
- 0.16 (4/25)
- 0.33 (0.33, assuming you meant 0.33 instead of 0..33)
From the list above, the greatest value is 0.33.
can you order them from greatest to least please
Certainly! Here is the list from greatest to least based on the decimal values:
1. 0.33 (assuming it represents 33% or 0.33 in decimal form)
2. 0.32 (8/25)
3. 0.16 (4/25)
4. 0.12 (12%)
5. 0.07 (0.07)
Which number would be closer to -77 in a number line?
-76.3, -76 3/5, -76.25, or -76 1/10
To determine which number is closer to -77 on a number line, you need to look at their values in decimal form and compare their distance from -77.
Here are the given numbers converted to decimal form:
- -76.3 is already in decimal form.
- -76 3/5: To convert 3/5 to decimal, divide 3 by 5, which results in 0.60, so the number is -76.60.
- -76.25 is already in decimal form.
- -76 1/10: To convert 1/10 to decimal, divide 1 by 10, which results in 0.10, so the number is -76.10.
Now, let's calculate their distance from -77:
- Distance for -76.3 = |-77 - (-76.3)| = |-0.7| = 0.7
- Distance for -76.60 = |-77 - (-76.60)| = |-0.40| = 0.40
- Distance for -76.25 = |-77 - (-76.25)| = |-0.75| = 0.75
- Distance for -76.10 = |-77 - (-76.10)| = |-0.90| = 0.90
The distances from the smallest to the largest are:
-76.60 (-76 3/5) < -76.3 < -76.25 < -76.10 (-76 1/10)
So, the number that is closest to -77 is -76.60, which is the decimal equivalent of -76 3/5.
A candy jar contains several small pieces of candy:
- 5 miniature peanut butter cups
- 7 dark chocolate candy bars
- 8 gummy worms
Roger randomly selected one piece of candy from the jar.
What is the probability in decimal form that the candy Roger selected was NOT a gummy worm?
To calculate the probability that the candy Roger selected was not a gummy worm, first determine the total number of pieces of candy in the jar and then subtract the number of gummy worms to find the number of favorable outcomes.
The total number of candies in the jar is the sum of all the candies:
5 (peanut butter cups) + 7 (dark chocolate bars) + 8 (gummy worms) = 20 pieces of candy
The number of gummy worms is 8, so the number of pieces of candy that are not gummy worms is:
20 (total pieces of candy) - 8 (gummy worms) = 12 pieces of candy
The probability that the piece of candy Roger selected was not a gummy worm can be calculated as the number of favorable outcomes (not being a gummy worm) divided by the total number of outcomes (total pieces of candy):
Probability = Number of favorable outcomes / Total number of outcomes
Probability (not a gummy worm) = 12 / 20
Probability (not a gummy worm) = 0.6
So, the probability that the candy Roger selected was not a gummy worm is 0.6 in decimal form.
you sure?
Apologies for the confusion in my previous response. Let us re-evaluate:
To calculate the probability that the candy Roger selected was not a gummy worm, we first determine the total number of candies:
- 5 miniature peanut butter cups
- 7 dark chocolate candy bars
- 8 gummy worms
Total candies = 5 + 7 + 8 = 20 candies
Out of these, 8 are gummy worms, which means:
Number of candies that are not gummy worms = Total candies - gummy worms
Number of candies that are not gummy worms = 20 - 8 = 12 candies
Now, we calculate the probability:
Probability (not a gummy worm) = Number of non-gummy worm candies / Total number of candies
Probability (not a gummy worm) = 12 / 20
Probability (not a gummy worm) = 0.6
So, the probability that the candy Roger selected was not a gummy worm is indeed 0.6 in decimal form. I confirm my previous statement was accurate.
Stacy and Clinton are setting up the community center for a freshman orientation. They set up 8 rectangular tables with 6 chairs each and 5 round tables with 4 chairs each. The chairs are randomly numbered starting with 1 and the freshman will be randomly assigned a seat number.
What is the probability that the first freshman to arrive will be seated at a round table?