0.08 is your answer to the question
Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8
Answer:
41.67 % ( to 2 dec. places )
Step-by-step explanation:
Since 2 dozen cookies were baked, that is 24 and 14 were left.
Then 10 were eaten.
Calculate the percentage eaten as
percentage =
× 100%
percentage eaten =
× 100% ≈41.67%
The question is missing some parts. To complete, J is the event of getting a jack and R is getting a red card.
The first question is to look for the P (J) and P (R) =
P (J) = 4/52 = 0.077; since there are only 4 jacks in a standard deck.
P (R) = 26/52 = 0.5; 26 because there are 13 each for diamonds and hearts.
The second question is to describe the event J and R in words. Then look for that event’s probability.
The card is a red jack or the card is red and a jack. P (J and R) = 2/52 = 0/038
The last question is explain why P (J or R) is not equal to P (J) + P (R). Then use the general addition rule to compute for P (J or R).
The event card is red and card is jack are not mutually exclusive meaning two or more events can happen simultaneously. Thus one will count two cards twice unless using the general probability addition formula.
The probability for P (J ∪ R) is:P (J ∪ R) = 2 + 2 + 24 / 52 = 28/52 = 0.0538Or the other solution would be:P (J ∪ R) = 4/52 + 26/52 + 2/52 = 28/52 = 0.0538
Two is equivalent to twenty and 84