Follow the steps for 8
(1) 8 * 2 = 16
(2) 16 * 5 = 80
Note: you could just combine the first 2 steps and multiply by 10 to start with. Much easier: just add a 0 onto 8.
(3a) 12 * 8 = 96
(3b) 96 - 24 = 72
(3c) So you want to take 1/2 72 which is 36
(4) 36 + 80 = 116
Let's try this with x.
(2) x * 10 = 10x
(3) 1/2 (12*x - 24)
(3) 10x + 1/2 (12x - 24)
(3) 10x + 6x - 12
(4) 16x - 12
Problem B
Math wiz would add 12 to the number given to her and then divide by 16. That's pretty complicated to do quickly.
For example Let the original number be 1221
(2) Multiply by 10 12210
(3) Take 1/2 the difference between 12 times 1221 and 24 which is 1/2(14652 - 24) = 7314
And add this result to 12210
7314 + 12210 = 19524
Tell her the number. She has to add 12
19524 + 12 = 19536 And divide by 16
to get 1221.
Pretty complex even for a wizard.
We are given that 80% of scheduled flights really take
place, therefore this means that:
Probability of flying = 80% = 0.80
Now in statistics class, we know that the probability of
two or more independent events to occur is simply equivalent to the product of
their probabilities, or mathematically written as: (P = Probability)
total P = P1 * P2 * P3 *...
In this case, since we are to find for the probability
that 3 independent flights will occur, therefore the total probability assuming
equal probabilities to fly is:
total probability = 0.80 * 0.80* 0.80
total probability = 0.512
or
total probability = 51.20%
This means that there is only a 51.20% chance for 3
flights to occur.
First, we should find how many total milliliters we have by multiplying 250 mL by 10 servings to get 2500 mL. Then, we can convert 2500 mL to liters because 1000 mL equals 1 liters (2500/1000=2.5 L). Then since the bowl can only have 2 liters of punch, then 10 servings will not fit.
Hope this helps
7+3=4+6 Both numbers equal 10
