Step-by-step explanation:
the set F of the factors of 6 :
F ={1, 2, 3, 6}
Answer:
The twentieth term is 50.
Step-by-step explanation:
The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:
a1 = 3*1 - 10
a1 = -7
Therefore to find the twentieth term we need to make n equal to 20. This is done below:
a20 = 3*20 - 10
a20 = 60 - 10
a20 = 50
The twentieth term is 50.
Answer:
1. 52° + x° + 67° = 180°
2. x° + 22° = 90°
Step-by-step explanation:
1. In the first figure,
Since the angles given are supplementary angles i.e. their sum is 180°
So, we get,
52° + x° + 67° = 180°
i.e. x° = 180° - 119°
i.e. x° = 61°
Thus, the expression to find the value of x is 52° + x° + 67° = 180°.
2. In the second figure,
Since the angles given are complementary angles i.e. their sum is 90°
This gives us,
x° + 22° = 90°
i.e. x° = 90° - 22°
i.e. x° = 68°
Hence, the expression to find the value of x is x° + 22° = 90°
Answer:
the answer to the question is 8
Answer:
Step-by-step explanation:
Given
Success
Failure
Consecutive trials until S happens
Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
The only possibility here is: 
because 3 trials implies that all outcomes must be S.
The only possibility here is:
because 4 trials implies that the first outcome must be F
The possibilities are:
because 5 trials implies that the first and the second outcomes must be FS or SF.
The possibilities are:
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
The possibilities are:
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
