All the outcomes are 10 (possibilities)
To pull a quarter (total 3), its probability = 3/10 or 0.3
Now without putting the quarter back, the remaining total is now 9 (because one quarter was pulled out) so the probability of getting a penny is 2/9
But this is a conditional probability a) 1st pull a quarter & 2nd pull a penny
So the total probability is 3/10 x 2/9 =6/90 = 1/15 = 0.067
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
y=60+25sin(pi/6)t
The maximum value will occur when 
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is 
. So
That is the number of months after April 15, which is 3 months. So July 15.
This is in the third quadrant where the tangent of the angle is positive
tan pi/4 = 1 = y/-1 so y = -1
The required point is (-1,-1)
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%.
