Answer:
inequality form: x<14
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-2 1
Step-by-step explanation:
About 18 or 19 students per teacher
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
<h3>How to calculate the probability?</h3>
a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:
= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)
= 10/20 × 10/20
= 1/4
= 0.25
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
b. The probability to be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)
= 100/400 + 49/400 + 9/400
= 158/400
= 0.395
The probability to be able to keep any of the candy will be 0.395.
c. The probability that you will not be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)
= 100/400 + 91/400 + 51/400
= 242/400
= 0.605
The probability that you will not be able to keep any of the candy will be 0.605.
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Answer:
- -3/13 ≈ -1/4
- -6/11 ≈ -1/2
- -7/9 ≈ -3/4
Step-by-step explanation:
We'll drop all the minus signs, since they don't contribute anything but distraction.
When numerators or denominators are relatively large, changing their value by 1 unit will have a relatively small effect on the value of the fraction. For example, ...
3/13 ≈ 3/12 = 1/4
If we compare the decimal values of these fractions, we see that ...
3/13 ≈ 0.230769... (6-digit repeating decimal)
The closest of the offered "reasonable estimate" fractions is 1/4 = 0.25.
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Likewise, 6/11 ≈ 6/12 = 1/2. In decimal, these fractions are ...
6/11 = 0.54... (2-digit repeat)
1/2 = 0.5
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We can also increase or decrease both numerator and denominator by the same amount to get a fraction with nearly the same value. This works best when the numbers are larger.
7/9 ≈ 6/8 = 3/4 . . . . . . both numerator and denominator decreased by 1
In decimal, these are ...
7/9 = 0.7... (1-digit repeat)
3/4 = 0.75
