Answer:
<u>P(three tails) = 27/125 or 21.6%</u>
<u>P(two tails followed by one head) = 18/125 or 14.4%.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the questions correctly:
Probability of getting a head when a biased coin is tossed = 2/5
therefore,
Probability of getting a tails when a biased coin is tossed = 3/5
2. Find the following probabilities and select the correct solution.
P(three tails) =
3/5 * 3/5 * 3/5 = 27/125 or 21.6%
P(two tails followed by one head) =
3/5 * 3/5 * 2/5 = 18/125 or 14.4%.
Answer:
9
Step-by-step explanation:
equation: QRI+IRS=QRS
calculate it and you get x=9
The answer is 4.81x 10^13. By the way your welcome.
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
Answer:
Step-by-step explanation:
Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:
√3 h
sin 60 degrees = ------- = --------
2 s
s√3
and so h = the height of the triangle = -----------
2
The area of this triangle is (1/2)(base)(height), which here is:
(1/2)(s/2)( s√3 /2), or
(s^2)√3
A = ---------------
8