Two events are said to be independent when the occurence of one event does not in any way affects the occurence of the other event.
For independent events, the probablilty of event A happening given that event B has happened is given by the probability of event A happening.
i.e. P(a | b) = P(a).
Therefore, given that p(a) = 0.05 and P(b) = 0.65, then p(a | b) = p(a) = 0.05.
Answer:
1. Lisa purchased almonds for $3.00 and spent $24.90.
The quantity of almonds bought is therefore:
= Total amount spent / Cost per pound
= 24.90 / 3
= 8.3 pounds
2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:
= Maximum amount for almonds / Price per almonds
= 25 / 3.5
= 7.14 pounds
You can find any ordered pair in which the y coordinate is 4 times the x coordinate.
For example, an ordered pair could be (2,8) or (5,20)
Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram