a.
a^2 + b^2 = c^2
The legs are a and b. c is the hypotenuse.
Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y
The equation is:
(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2
b.
Now we square each binomial and combine like terms on each side.
36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2
36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2
100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2
The two sides are equal, so it is an identity.
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average 
is:
The standard deviation 
is:
The Z-score is:
We seek to find
For P(x>800) The Z-score is:
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
For P(x<200) The Z-score is:
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
Therefore
3/4 because if you multiply 4 to 3 you'll get 12 and multiply it by 4 then you'll get 16 which will look like 12/16. Compare that. Ex: 12/16 > 11/16
This question is based on logic.
As given, there are three friends, Jose, Michael, and Andrea. They are playing a game where each decides to be either a liar or a truth teller. A liar must always lie and a truth teller must always tell the truth.
As Michael stated, "Jose said that he is a liar." this means Michael is a truth teller because as per the game rule, he is telling the truth. So this gives Jose as a liar.
Andrea said, " If one of us is a liar, then we are all liars." This makes Andrea a liar as Michael's statement already proved that he is the truth teller.
Hence, Michael is a truth teller and Jose ans Andrea are liars.
B.
D.
D.
4th: 1/12 and or 1/3
Coloumn A.
1.A
2.C
3.C
4.B
