Answer:
(a) (2, -2)
(b) 2.5 miles
Step-by-step explanation:
(a) The distance from Olivia's house (-5, 5) to the market (-5, -5) is the distance from 5 to -5 on the line x=-5. That distance is 5 -(-5) = 10 units.
The distance from Jen's house to the theater is half this, or 5 units. The theater is "directly below" Jen's house, so will have the same x-coordinate, and a y-coordinate that is 5 units less than that of Jen's house. The theater is located at ...
... (2, 3) -(0, 5) = (2, -2) . . . . theater location
(b) The 5 units from Jen's house to the theater represent a distance of ...
... 5 × (1/2 mile) = 5/2 miles = 2.5 miles
We have to find the probability that one randomly selected card has a number less than 4 or a multiple of 9. There are numbers : 1 - 25. Numbers less than 4 are: 1, 2, and 3. Multiples of 9 that are less than 25 are : 9 ( 9 * 1 ) and 18 ( 9 * 2 ). So there are 5 favourable outcomes and 25 possible outcomes. The probability is: P ( A ) = ( number of favourable outcomes ) / ( number of possible outcomes ) = 5 / 25 = 1 / 5 = 0.2. Answer: The probability is 0.2 or 20 %<span>. </span>
