Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given



Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:

So, we have:

Take LCM


By comparing:
---- Calculated
---- Given
We can conclude that A and B are not mutually exclusive because:

Answer:
=60 the second option.
Step-by-step explanation:
Given the trigonometric ratio, we can find the value of the angle by simply finding the inverse of the given ratio.
If for example Cos ∅= a, then ∅=Cos⁻¹a
If Cos (x)= 0.5, then x= Cos⁻¹ 0.5
Cos⁻1 0.5=60°
The angle whose sine is 0.5 is ∅=60°
there would be a 99% chance of a red marble being pulled out or even a 1% chance.
because of their being five green marbles and six red there is always a chance you could pull out any one of the colors.
but i believe that both of the answers are 1/2
but im not 100% sure
Answer:
A.Both of the students did the problem correctly.
Step-by-step explanation:
B. Nikki multiplied the fraction(8/3) to the items in the parentheses. Then multiplied each side with 3. Jon did the opposite. He first removed the fraction by multiplying each side by 3. Then he multiplied 2 to the items in the paranthesis.
C. I prefer Jon's method. Fractions can be tricky. I prefer to remove them as soon as possible. This time the items in the paranthesis had whole numbers. But had any of them been a fraction too, the problem would have gotten a lot more tricky and it would very easy to make a mistake or miscalculate something.