Answers: 13) b 14) c 15) c 16) c
<u>Step-by-step explanation:</u>
13)
The possible options are: BBB, BBG, BGB, GBB = 4 : 8
Simplified (divide by 2) is 1 : 2
14)
Odd: 1, 3, 5, 7, 9 = 5:10
Prime: 2, 3, 5, 7 = 4:10
≤ 5: 0, 1, 2, 3, 4, 5 = 6:10 This has the highest probability!
÷ 3: 3, 6, 9 = 3:10
15)
There are 8 - 3 sections that are not red and 8 total sections
(8 - 3) : 8 = 5:8
16)
Reese has 15 votes and there are 15 + 13 + 12 total votes
15 : (15 + 13 + 12) = 15 : 40
Simplified (divide by 5) is 3 : 8
Answer: D. exponential growth
Step-by-step explanation:
ANSWER
The general solution is
, where
is an integer
<u>EXPLANATION</u>
In order to solve the linear congruence;

We need to determine the inverse of
(which is a Bézout coefficient for 33).
To do that we must first use the Euclidean Algorithm to verify the existence of the inverse by showing that;

Now, here we go;



The greatest common divisor is the last remainder before the remainder of zero.
Hence, the
.
We now express this gcd of 1 as a linear combination of 33 and 280.
We can achieve this by making all the non zero remainders the subject and making a backward substitution.


Equation (2) in equation (1) gives,



The above linear combination tells us that
is the inverse of
.
Now we multiply both sides of our congruence relation by
.

This implies that;

.
Since this is modulo, the solution is not unique because any integral addition or subtraction of the modulo (280 in this case) produces an equivalent solution.
Therefore the general solution is,
, where
is an integer
Answer: .13
Step-by-step explanation:
63/100=0.63
5/10=0.50
=.13
I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13
Answer:
0
Step-by-step explanation:
The whole thing cancels out because if you move -10x on the left to the right they will cancel out because -10x+10x=0.
Now, you have -10=-10 and so move the -10 to the right and it becomes positive so you get -10+10 which equals 0.