Lacy draws a heart from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a diamond.
Are these events independent?
Input Yes or No: No
Determine the probability of drawing a heart and then a diamond without replacement.
Write your answer in decimal form, rounded to four decimal places as needed.
Answer =
Linda draws a heart from a standard deck of 52 cards. She returns the heart to the deck, then draws a second card. Her
second card is a diamond.
Are these events independent?
Input Yes or No: Yes
Determine the probability of drawing a heart and then a diamond with replacement.
Write your answer in decimal form, rounded to four decimal places as needed.
Answer =

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

For f(x) = 3x+1 and g(x) = x2 - 6, find (g/f)(x)

What is the slope of the line passing through the points (-5, 7) and (-3,5)?