So the answer choices are
1. a-b=even
2. a and b are not odd
3. a and b are odd
4. a-b=even
5. a-b=not even
even=not odd
not even=odd so choice 5 is really a-b=odd
basically choice 4 and 1 are the same so we cross one out
so
the problem said that a and b are odd so therefor choice2 is wrong and choice 3 is correct
then both are odd
odd-odd=even because
an even number is represented as 2n where n is an integer
an odd number can be represented as 2n+1 so assume you have 2 odd numbers 2 away from each other so odd and (odd+2)
odd+2-odd=2n+1+2-(2n+1)=2n+1+2-2n-1=2n-2n+1-1+2=2
you are left with odd
using integers
7 and 11
11-7=4
even
so odd-odd=even, it depends on weather you consider 0 odd or even
so the asnwers are:
a and b are odd
a-b is not an even integer
You could do 165,000 divided by 180,000. This is 165000/180000, and that will give you the percentage that 165000 is of 180000 in decimal form, which is 0.9167.
Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
We use the following trigonometric identity to answer the question:
sin^ 2 (theta) + cos^ 2 (theta) = 1
We substitute the values:
sin ^ 2 (theta) + 0.73 = 1
We cleared:
sin ^ 2 (theta) = 1-0.73
sin ^ 2 (theta) = 0.27
Answer:
a possible value of sin ^ 2 (theta) is:
c.0.26 (nearest option)
Answer:
<u><em>Part A:</em></u> D. 
<u><em>Part B:</em></u> C. 
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: 
Now plug in 0 for x.

Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: 
Now plug in x for 0 and solve:



This equation is true, now we check for the other value of x, 3.



This is also true so that means this is the correct answer.
Answer:
Step-by-step explanation:
you first add up the marbles together. 3 + 4 + 3 +.5 = 15. Then you take the amount of green marbles their are, and make a fraction: 3/15. Then you remove one without putting it back, which is green, so you have 1 less total and one less green marbles, and you turn that into a fraction: 2/14.
First Pick: 3/15 chance of getting green
Second Pick: 2/14 chance of getting green
Then. You divide the first number by the second one.
3 / 15 = 0.2
2 / 14 = 0.142
Then to turn into percentage you move the decimal over two spots and drop the 0 and add a percentage sign:
20%
14.2% (Round Up Percentage) 15%
Which means that:
20% Probabiltiy for first pick
15% Probability for second pick
____________________________________________________________ I hope this helps. If it is incorrect, comment that, and I will see what U messed up. I hope I helped. :D