Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:
Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So
What is the probability of choosing a king and then, without replacement, a face card?
0.0181 probability of choosing a king and then, without replacement, a face card.
Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:
where 
is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem 
(where a and b are the legs and c is the hypotenuse of a right triangle)
Now we can use the trig ratios:
Therefore, sin(x) = cos(y)
Answer 5x 1y 5 1
Step-by-step explanation:
Answer:
If you simplify 2/6, you get 1/3 by dividing the numerator and denominator by 2.
Therefore, 1/3 and 2/6 would be the same point on the number line.
Answer:
Step-by-step explanation:
For each consecutive year after that, their profit increased by 12%. The growth is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the profit made after t years.
t represents the number of years.
P represents the initial profit made.
r represents rate of increase.
From the information given,
P = 2.4 × 10^6
r = 12% = 12/100 = 0.12
t = 4 years
Therefore,
A = 2.4 × 10^6(1 + 0.12)^4
A = 2.4 × 10^6(1.12)^4
A = 3776446.5
