An artist entered two paintings (Lighthouse and Cathedral) ina show. He feels that the probabilities are 0.15, 0.18 and 0.11, respectively, that he will sell the Lighthouse, Cathedral, or both. What is the probability that he will sell either of the two paintings?
P(lighthouse) + P(Cathedral) - P(both) = 0.22
Note P(lighthouse) is the probability that the lighthouse will be solved, this includes selling the lighthouse and the Cathedral. This means that the possibility that both are sold is counted both in P(lighthouse) and in P(Cathedral), that's why you have to subtract P(both).
The Temp. in Utica at 6 A.M. was 2 degrees farenheit. 3 hrs earlier the temp. was -5 degrees farenheit.
Part A: Write an equation to show the change in temp..
Part B: How many degees did the temperature rise?
Part A: The equation to show the change in temperature is as follows:
Change in temperature = Final temperature – Initial temperature
Let's call the initial temperature (3 hours earlier) "T1" and the final temperature at 6 A.M. "T2".
Therefore, the equation is:
Change in temperature = T2 - T1
Part B: To calculate the number of degrees the temperature rose, plug in the values:
Change in temperature = 2 degrees Fahrenheit - (-5 degrees Fahrenheit)
Simplifying the equation:
Change in temperature = 2 + 5
Change in temperature = 7 degrees Fahrenheit
So, the temperature rose by 7 degrees Fahrenheit.