The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:
Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:
a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
It would be a 12.5% increase. First you find her monthly wages: $10.50 x 160 hours= $1680 a month. Her insurance is $210/month. So you need to find what percentage 210 is of 1680. So
. Solve for x by dividing 1680 on both sides and you get 0.125. Multiply by 100 to get the percentage and you get 12.5%. Check your answer by multiplying 1680 x 0.125 and you get 210.
Distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12
Hey there!
To solve this, we will first replace x with 5 anytime we see it in the equation.
f(5) = 2^5
Now, we simplify 2^5.
The base is 2 and the exponent is 5 in this case.
The exponent is the number of times you multiply the base by itself. In oour case:
2 x 2 x 2 x 2 x 2 = 32
f(5) = 32
Hope this helps!
