Answer:
Step-by-step explanation:
Let
- D be the event that the card drawn is a black card
- F be the event that the card drawn is a 10 card
- F' be the event that the card drawn is not a 10 card
The probability
Note that
So,
<span>2cos^2x = sin2x
2cos^2x = 2sin x cos x
(2sin x cos x) / (2cos^2x) = 1
sin x / cos x = 1
tan x = 1
x = π/4</span>
notice, the first term is 9.5
from there it goes to 11.5, well, how much is it being added to get 11.5?
well 9.5 + 2, is 11.5, so it was added 2 to 9.5
then it goes from 11.5 to 13.5, namely, 11.5+2 = 13.5
and then 13.5+2 = 15.5 and so on
so, the "common difference" or the common addition value, is 2
how do you find the nth term?
well
Answer:
1.Random circumstance: Color of traffic light when Robin approaches the main intersection. Possible outcomes: Traffic light is green when Robin arrives, or Traffic light is not green when Robin arrives.
2.Random circumstance: Song on the radio when first turned on. Possible outcomes: Robin's favorite song is playing, or Robin's favorite song is not playing.
4.Random circumstance: Nearest available parking space. Possible outcomes: Robin finds an empty parking space in front of the building, or Robin does not find an empty parking space in front of the building.
Step-by-step explanation:
A random circumstance is one whose outcome cannot be predicted because we either do not have the full details of the matter or it has not been confirmed yet by a reliable source. In the short description of events provided above;
1.The color of the traffic light is unpredictable because it is not under the control of the drivers but is automated.
2. Robin's favorite song playing on the radio is a random circumstance because she has no control over what song is played. So, she might as well have tuned in and it would be her least favorite song playing.
3. Robin driving into the office and finding the parking space empty is a random circumstance because it is not predictable. She might have come in and found the entire space filled.
Answer:
3 11/15 miles
Step-by-step explanation:
4 1/3 - 3/5
4 5/15 - 9/15
3 20/15 - 9/15
3 11/15 miles
