M^2 - 2mn + n^2
(-2)^2 -2(-2)(4) + 4^2
4 + 16 + 16
36
The waitress earns $425 weekly.
Work:
Use proportions.
x 4
------- = ------
4,200 100
4,200 x 4 = 16800
100 multiply x = 100x
16800 divided by 100 = 168
Commission = $168
Base salary = $257
$168 + $257 = $425
We have to calculate the probability of picking a 4 and then a 5 without replacement.
We can express this as the product of the probabilities of two events:
• The probability of picking a 4
,
• The probability of picking a 5, given that a 4 has been retired from the deck.
We have one card in the deck out of fouor cards that is a "4".
Then, the probability of picking a "4" will be:
The probability of picking a "5" will be now equal to one card (the number of 5's in the deck) divided by the number of remaining cards (3 cards):
We then calculate the probabilities of this two events happening in sequence as:
Answer: 1/12
Pupils that chose Band: 60%
Pupils that chose Chorus: 40%
Boys in band: 70%
Boys in chorus: 30%
Probability of choosing boy = Probability of boy in band + Probability of boy in chorus
P = 0.6 x 0.7 + 0.4 x 0.3
P = 0.54
The answer is D.
To determine the number of animals in each pack, we need to understand each statement in the problem since these are key to obtaining the correct answer.
number of packs = 3
number of animals given to sister = 6
number of animals left = 9
total number of animals = 6+9 = 15
It is said the in each pack there is an equal number of animals. Therefore,
Number of animals per pack = 15 / 3 = 5 animals
