E because 6 times .375 which is 3/8 = 16
Answer:
a.
b.
c.
d.
Step-by-step explanation:
The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,
a. The conditional probability that 3 is rolled given that the roll is greater than 1?
b. What is the conditional probability that 6 is rolled given that the roll is greater than 3?
c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even?
d. Given that the roll is greater than 3, what is the conditional probability that the roll is even?
First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First,
. If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that
. Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.
Each hiker owes $41 or 4100 cents for the hiking trip.
<u><em>Explanation</em></u>
Cost of each permit is $15. So, the cost of <u>two permits</u> will be:
Cost of each tram ticket is $19. So, the cost of <u>three tickets</u> will be:
Cost of <u>one can</u> of bear spray is $36.
So, the total cost of the hiking trip
As the <u>three hikers</u> are dividing the total costs of the trip <u>evenly</u>, so each hiker owes or 4100 cents.