A whole number from 1 to 15 inclusive is picked at random.
1 answer:
Answer:
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- <u>a) 3/7</u>
- <u>b) 3/5</u>
Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
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From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
- 3/7
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
- 3/5
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Answer:
Option D is correct
The initial value is 2
Step-by-step explanation:
The equation of line passes through the origin is represented by:
y = mx where m is the slope or unit rate .
Direct Proportionality says that:
if then the equation of the form is y = kx where k is the constant of proportionality.
Given the equation:
Then by definition:
m = 2
⇒ Slope on the line is 2.
⇒ the unit rate is 2.
Also, the constant of proportionality is 2.
Therefore, the statement which is not true for the equation y=2x represents a set of data is: The initial value is 2