Answer: a)
b)
c)
d)
Step-by-step explanation:
Formula for probability =
The total number of cards in a deck = 52
a) Number of cards having queen =4
Then the probability that a queen is drawn =
c) Number of cards having King= 4
Then , the number of cards having a queen or king =4+4=8
Then the probability that a king or queen is drawn =
c) Number of cards having heart = 13
Then the probability that a heart is drawn =
d) Number of red cards = 26
Then the probability that a red card is drawn =
This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:
f(t)=ae^(kt)
thus substituting the value we get:
40=37e^(9k)
this can be written as:
(40/37)=e^(9k)
introducing the natural logs we get:
ln(40/37)=9k
hence;
k=1/9ln(40/37)=0.0087
Therefore our formual will be given by:
f(t)=37e^(0.0087t)
N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;
t=26
thus
f(t)=37e^(26*0.0087)
f(t)=46.35 million
1) A. since, if you put the numbers into the equation (one at a time) the equation = 0 each time, which is true.
2) I think I've been taught to complete the square slightly differently
x^2 - 18x - 17 = 0
(x-9)^2 - 81 -17 = 0
(x-9)^2 - 98 = 0
I hope you can get something from that
B. The number of times u can rotate the figure so it looks like itself (2)