Answer:
arc ABC = 196°
arc DC = 360 - 196 - 70 = 94° (which looks out of proportion, but so does angle D)
Step-by-step explanation:
arc ABC = 2(∠D) = 2(98°) = 196°
Answer:
Option C: 47 tickets
Step-by-step explanation:
Given that:
Tickets given to employees = 1 part
Tickets given to listeners = 2 parts
This means 141 tickets are totally divided into 3 parts so:
1 part = 141/3
1 part = 47
So now,
Tickets given to employees = 1 part = 47 tickets
Tickets given to listeners = 2 parts = 47 *2 tickets = 94 tickets
I hope it will help you!
Answer: 8359
Step-by-step explanation:
The formula for sample size needed for interval estimate of population proportion :-
Given : The significance level : 
Critical value : 
Previous estimate of proportion : 
Margin of error : 
Now, the required sample size will be :-
Hence, the required sample size = 8359
Step-by-step explanation:
this is your answer.........
Answer:
The answer is 31 pennies
Step-by-step explanation:
we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.
The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:
1) factor: 5 (+1) = 6
6 ÷ 2 = 3 remainder 0
6 ÷ 3 = 2 remainder 0
since there is a remainder of 0, when divided by 3, 6 is wrong
2) factor; 10 (+1) = 11
11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer
3) factor : 15 (+1) = 16
16 ÷ 2 = 8 remainder 0 ( 16 is not the correct answer
4) factor : 20(+1) = 21
21 ÷ 3 = 7 remainder 0 ( 21 is wrong)
5) factor : 25(+1) = 26
26 ÷ 2 = 13 remainder 0 ( 26 is wrong)
6) factor : 30(+1) = 31
31 ÷ 2 = 15 Remainder 1
31 ÷ 3 = 10 Remainder 1
31 ÷ 5 = 6 Remainder 1
since all three divisors give a remainder of 1, the correct answer is 31
Therefore you have 31 pwnnies
