Answer:
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This means that it sweeps out half of the circle so that the chord is actually going across the whole diameter of the circle. So if the chord is going across the diameter and has a length of 15 inches, then the radius of the circle should be 7.5 inches. read more at: https://www.ck12.org/trigonometry/Length-of-a-Chord/lesson/Length-of-a-Chord-TRIG/
Answer:
See below in bold.
Step-by-step explanation:
There are 2 even and 6 odd numbers in the list.
A.
Prob(Picking an odd number) = number of odd numbers / total of numbers
= 6/8 = 0.75.
Prob(Picking a 10) = 1/8 = 0.125.
Answer = 0.75 * 0.125 = 0.09375
= 0.094 to 3 dec. places.
B.
Prob( Picking and even) = 2/8 = 1/4.
Prob( Picking another even without replacement) = 1/7.
Answer = 1/4 * 1/7 = 1/28
= 0.036 to 3 dec. places.
C.
There are 5 numbers greater than 4.
Prob(Picking a number > 4) = 5/8.
Prob( Picking a 1 without replacement) = 1/7.
Answer = 5/8 * 1/7
= 5/56
= 0.089 to 3 dec. places.
We can change the sign of the second term, so that the two parenthesis are the same:
Now, both terms have in common a 3, becase the numeric factors are 3 and 6. If we factor the 3, we have
The parenthesis (a-1) is also in common, so we can factor it as well:
Finally, both terms in the parenthesis contain 
, because it's the power of b with the lowest exponent:
So, the factorization is
You can swap the order of the four factors (3, b^2, a-1 and 2b-1) as you like: the multiplication is commutative.
