Probability: 15 points! 3 Questions!! (answer be fractions in LOWEST TERMS)

1. If you roll two fair six-sided dice, what is the probability that the dice show the same number?

2. You flip a dime three times. Find the probability that all flips will land on tails.

3. A letter from the word MATH is chosen at random, then two coins are flipped. What is the probability of choosing the letter 'm' then getting two tails?

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Let us imagine that the number of automobile accidents in a certain region are related to the regional number of registered automobiles in tens of thousands (b1), alcoholic beverage sales in $10,000 (b2), and decrease in the price of gasoline in cents (b3). furthermore, imagine that the regression formula has been calculated as: y = a + b1x1 + b2x2 + b3x3 where y = the number of automobile accidents, a = 7.5, b1 = 3.5, b2 = 4.5, and b3 = 2.5 calculate the expected number of automobile accidents for a football weekend if the region has 25,000 registered vehicles, $75,000 worth of beer is sold, and a gas war causes a 10 cent drop in a gallon of gas.

Gabrielle's age is three times mikhail's age. the sum of their ages is 40 . what is mikhail's age? __ years old