Sample space = (0 0 0), (0 0 1), (0 1 0), (1 0 0), (0 1 1), (1 0 1), (1 1 0), (1 1 1)
P(at least one 0) = 7/8
Answer:
Step-by-step explanation:
I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all
If you did that, then each gift bag would contain 2 pencils with 10 left over.
Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.
Answer:
Liam's rate = 3 meters per second
Edgar's rate = 3.2 meters per second
Edgar swims faster
Step-by-step explanation:
<u>Liam:</u>
The equation 
gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.
When 
When 
Rate of change:
Liam's rate is 3 metres per second.
<u>Edgar:</u>
When 
When 
Rate of change:
Edgar's rate is 3.2 metres per second.
Edgar swims faster.
So Angel hikes at 2.4 miles per hour. This says that in one hour he hikes 2.4 miles. In 1/3 of an hour then he would hike 1/3 of 2.4 miles, which is 2.4/3, or 0.8.
The general form for a sine function is: y = a sin(b[x + c]) + d
The amplitude is given by a, so a = 1.
The period is given by 2*pi/b, so 2*pi/b = pi/2, and b = 4.
The variable c gives the horizontal shift, of which there is none, so c = 0.
Finally, the vertical shift of 3 units means that d = 3.
So the equation is:
y = sin(4x) + 3
