Simplify both sides to compare:
6^2 - 2^2 = 36-4 = 32
4(6+2) = 4 x 8 = 32
they are equal to each other.
Answer: B. =
Set up a proportion.
3/6 = 5.5 / x Cross multiply
3x = 6*5.5
3x = 33 Divide by 3
x = 33/3
x = 11
The length of x is 11.
Answer:
sin(x) = cos(90°-x)
Step-by-step explanation:
Looking at the graphs of sin(x) and cos(x), you can see that the peaks of the graph are separated by a value of pi/2. If you convert that value into degrees, then the two graphs are separated by 90°. Another way of thinking is from the unit circle. sin(x) = 1 at 90°, and cos(x)=1 at 0°. The difference is still 90°
Well this is a more complicated question than it may seem.
The laws of probability are based on observations whose number is very large or actually as the number of observations approaches infinity.
So on the one hand, you should be concerned that you get 0/8 to land on 3.
However, 42/500 land on 3 so your ratio has improved.
It's not near 125 but it's also not 0.
If it remained at 0, you would begin to be concerned and rightly so.
Perhaps if you did 5000, you would be less concerned as the ratio improved and got closer to 1/4 of the observations.
So at this point I don't think you have enough information to determine that the spinner is unfair.
