A whole number from 1 to 15 inclusive is picked at random.
1 answer:
Answer:
<u></u>
- <u>a) 3/7</u>
- <u>b) 3/5</u>
Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
<em />
<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>
<em />
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
<em><u /></em>
<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
You might be interested in
Answer:
Step-by-step explanation:
- First we find the slope of the line AB passing through the point (2,0)
- line AB is perpendicular to the line
, this equation is slope intercept for, which is
so our m or slope is
- Since the slope of line AB is perpendicular to
then we use the equation
, so what do we multiply
by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
- Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
- So we make the equation
so m= -4 and our point is (-1,6)
thats the equation of line side CD
Answer:
see below
Step-by-step explanation:
Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.
