Caleb has 1/3 of a watermelon. He cuts it into 4 equal pieces. What fraction of the watermelon is each piece
2 answers:
Answer:
The fraction of the watermelon that corresponds to each piece is
Step-by-step explanation:
Caleb has of a watermelon. To know what fraction each portion of watermelon represents after cutting it into 4 equal parts, just divide the portion that Caleb owns (
) by the amount of sliced portions (4):
Given that 4 can also be represented by the fraction , then:
To divide two fractions, the SECOND FRACTION must be reversed, that is, change the denominator to the numerator and change the numerator to the denominator. Then, the two fractions are multiplied.
<u><em>The fraction of the watermelon that corresponds to each piece is </em></u>
You might be interested in
Answer:
a)
b)
Step-by-step explanation:
1) Data given and notation
n=900 represent the random sample taken
X=372 represent the students were pursuing liberal arts degrees
estimated proportion of students were pursuing liberal arts degrees
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
p= population proportion of students were pursuing liberal arts degrees
2) Solution to the problem
The confidence interval would be given by this formula
For the 99% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error is given by:
If we replace we have:
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (0.371;0.455).
We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.
Answer:
1
2
3
Step-by-step explanation:
Generally when two fair 6-sided dice is rolled the doubles are
(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)
The total outcome of doubles is N = 6
The total outcome of the rolling the two fair 6-sided dice is
n = 36
Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as
Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is
(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)
Looking at this outcome we see that there are two doubles present
So
The conditional probability that doubles were rolled is mathematically represented as
Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30
And the number of outcomes that at least one die is a 1 is W = 10
So
The conditional probability that at least one die is a 1 is mathematically represented as
=>
=>