He paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle. What was the original price of the motercycle.
1 answer:
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Answer:
Probability that both cans were regular soda =
Step-by-step explanation:
Probability =
We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.
Probability that first can is a regular soda:
Outcome that first can is a regular soda will give us the number of regular soda available which are 4
Using formula of probability
Total possible outcomes are, n(total) = 12
Desired outcome: 4 (cans of regular soda)
P(1st can) = =
Probability that 2nd can is a regular soda:
<em>As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.</em>
Total possible outcomes are, n(total) = 11
Desired outcome: 3 (cans of regular soda as one has already been taken)
P(2nd can) =
Probability that both cans are regular soda:
P(both) = P(1st can) × P(2nd can)
=
=
Part (a)
Answer: See the attached image below to see the filled out chart.
Note how rational and irrational numbers have nothing in common. This means there is no overlap. So they go in the rectangles. The two sets of numbers join up to form the entire set of real numbers.
Integers are in the set of rational numbers. This is because something like 7 is also 7/1; however 1/7 is not an integer. So not all rational numbers are integers. The larger purple circle is the set of integers.
The smaller blue circle is the set of whole numbers. The set of whole numbers is a subset of integers. Recall the set of whole numbers is {0,1,2,3,...} so we ignore the negative values only focusing on 0 and positive numbers that don't have any fractional values. In contrast, the set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} here we do include the negatives.
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Part (b)
1) Some irrational numbers are integers.
This is false. An irrational number is not rational. The set of integers is contained entirely in the set of rational numbers.
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2) Some whole numbers are not irrational numbers.
This is false. The statement implies that some whole numbers are irrational, but the set of whole numbers is inside the set of rational numbers, which has no overlap with the irrationals. The statement should be "All whole numbers are not irrational numbers".
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3) All rational numbers are whole numbers.
This is false. A rational number like 1/3 is not a whole number.
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4) All integers are whole numbers
This is false. An integer like -44 is not a whole number because the set of whole numbers is {0,1,2,3,...} and we're not including negative values.
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In summary, all four statements for part (b) are false.
