Number of ribbons that can be cut = 6 ÷ 1/2
Number of ribbons that can be cut = 6 x 2/1
Number of ribbons that can be cut = 12
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Answer: 12 1/2 foot pieces can be cut from 6 feet ribbon
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<span>The term that you want is 5C2*p^2*q^3
representing 2 successes and 3 failures. This term's value is</span>
<span>(5C2)(0.5^5)
= 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3% </span>
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
Answer:
1 7
-120 -22
Step-by-step explanation:
you need to do top left top right bottom left bottom. in order to move x to the other side you need to subtract then divide by the negative.
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
