A coin is tossed and -sided die numbered 1 through is rolled. Find the probability of tossing a and then rolling a number greater than .

Complete question :

A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.

Answer : 1/3

Step-by-step explanation:

For a coin :

Sample space = (T, H)

Probability = required outcome / Total possible outcomes

Probability of tail, p(T) = 1 / 2 = 0.5

For a fair die:

Sample space = (1, 2, 3, 4, 5, 6)

Required outcome = number greater than 2 = (3, 4, 5, 6) = 4

P(number greater than 2) = 4/6 = 2/ 3

Hence, probability of a tail, then a number greater than 2 :

(1/2 * 2/3) = 2 /6 = 1/3

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi