Answer:
<u></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:
<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:
Answer:
Step-by-step explanation:
A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into equation 1, it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
All possible values for the number of quarters that he could have would be
15.6 ≤ y ≤ 18
Answer:
Step-by-step explanation:
A)
y=−2x+4
y-int:
y=−2*0+4
y=4
x-int:
0=−2x+4
2x=4
x=2
(2,4)
B)
2x+3y=6
y-int:
2*0+3y=6
3y=6
y=2
x-int:
2x+3*0=6
2x=6
x=3
(3,2)
C)
1.2x+2.4y=4.8
y-int:
1.2*0+2.4y=4.8
2.4y=4.8
24y=48
y=2
x-int:
1.2x+2.4*0=4.8
1.2x=4.8
12x=48
x=4
(4,2)
Answer:
Probably 5 feet
Step-by-step explanation:
Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it
Sorry if wrong and hope this helps
Great Job! they are all correct. :)
Good luck in your next tests.
