Answer:
a x+2y =5
b x=1 y=2
Step-by-step explanation:
4x+3y = 10
So the cost of 1 banana is x and the cost of 1 peach is y
a) we want the cost of 1 banana and 2 peaches
1x+2y
That is equal to 5 dollars
1x+2y =5
x+2y =5
b
The matrixes are
1 2 x 5
* =
4 3 y 10
Using my calculator, x=1 y=2
Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
Answer:
54.8
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2.
Plug the given values in to get 61^2+b^2=82^2
61^2 is 3,721 and 82^2 is 6,724.
6,724-3,721 is 3,003.
The square root of 3,003, rounded to a reasonable value, is 54.8.
The length of AC is 54.8.
I believe the answer is A. I'm not too sure though. How did I come to this conclusion? ¯\_(ツ)_/¯
The coordinated of A would be 1,1.
Instead of going through the trouble of mentally moving the entire thing, just focus on the one you need to know the answer to, aka A.