Step-by-step explanation:
Universal Set(U)={2,3,4...16}
M={2,4,6,8..16}[Even numbers between 2-16]
N={3,5,7...15}[Odd numbers between 2-16]
(PUM)'=U-(PUM)={2,3,4...16}-[{2,4,6,8..16}U{3,5,7...15}]={}
For shading, Shade the area outside the two circles but inside the square.
Answer:
The sequence is 14, 19, 24, 29, 34, 39.
Step-by-step explanation:
Let's call the common difference (the difference between two consecutive terms) as d. We see that the second term is 19 and the 5th term is 34 and since 5 - 2 = 3, we add d 3 times to 19 to get 34 so therefore:
19 + 3d = 34
3d = 15
d = 5 so the first term is 19 - 5 = 14, the third would be 19 + 5 = 24, the fourth would be 24 + 5 = 29 and the sixth would be 34 + 5 = 39.
Answer:
Total number of texts sent by each person is as follows;
Jose=14
Bon=56
Ann=48
Step-by-step explanation:
Step 1
Express the total amount of texts sent by each person as shown;
Let the number of texts sent be;
Jose=x
Bon=4 times as Jose=4×x=4 x
Ann=sent 8 fewer than jose=4 x-8
Total texts sent=118
Step 2
Express the total number of texts sent by all of them as show;
Total texts sent=amount sent by Jose+amount sent by Bon+amount sent by Ann
where;
Total texts sent=118
amount sent by Jose=x
amount sent by Bon=4 x
amount sent by Ann=4 x-8
replacing;
118=x+4 x+4x-8
118=9 x-8
118+8=9 x
9 x=126
x=126/9
x=14
Step 3
Substitute the value of x to get the number of texts sent by each individual;
amount sent by Jose=x=14
amount sent by Bon=4 x=(4×14)=56
amount sent by Ann=4 x-8=56-8=48
Total number of texts sent by each person is as follows;
Jose=14
Bon=56
Ann=48
If the probability of picking a red marble out of the total 63 is 8/9, then it's reasonable to think that 8/9 of the total number of marbles must be red. So there are likely 8/9 × 63 = 56 red marbles in the bag.
The ratio for girls to boys is 4:5