Write the following using symbols and propositional variables:
the moon is made of green cheese.
the sun is made of the spaghetti noodles.
if the moon is made of green cheese then the sun is made of spaghetti
noodles.
either the moon is made of green cheese and the sun is made of
spaghetti noodles or the sun is made of spaghetti noodles.
either the moon is made of green cheese and the sun is made of
spaghetti noodles or saturn’s rings are ice cream.
either the moon is made of green cheese and the sun is made of
spaghetti noodles or the sun is made of spaghetti noodles or saturn’s
rings are ice cream.

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

What is the value of the discriminant, b2 ? 4ac, for the quadratic equation 0 = x2 ? 4x + 5, and what does it mean about the number of real solutions the equation has?

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.