The point P(–4, 4) that is 
of the way from A to B on the directed line segment AB.
Solution:
The points of the line segment are A(–8, –2) and B(6, 19).
P is the point that bisect the line segment in .
So, m = 2 and n = 5.
By section formula:
P(x, y) = (–4, 4)
Hence the point P(–4, 4) that is of the way from A to B on the directed line segment AB.
Actually:
1 5/8 simplifies to 1.625. Do 5.8 and get 0.625 then add 1. Its 1.625. So 1.625/1.625=1. Its the same thing with mixed number. (1 5/8) / 1.625 = 1
Answer:
a) Set up triangles where the hypotenuse is 16ft (the ladder) and one of the two edges are 1, 2, 3, 4, 5ft (the base of the ladder). Use a^2 + b^2 = c^2 where a is the base length, c is the hypotenuse and b is the value you are trying to find.
Ex w/ 1ft base:
1^2 + b^2 = 16^2
1 + b^2 = 256
b^2 = 255
b = 15.97ft.
b) Simply take your answers from part a) and add 5.5ft (the height of the girl) to them.
Ex w/ 1ft base:
15.97ft + 5.5ft = 21.47ft
c) Using logic here think about it. Let's take the 1ft base as the example. Marissa standing on top of the ladder is 21.47ft. That's clearly not high enough to reach the cat . . . but what happens if Marissa reaches upwards. As long as her arms can reach roughly 1.53ft above her head she should be able to reach it.
Step-by-step explanation:
lolz
Answer:
−(7p+6)−2(−1−2p) = - 3p - 4
Step-by-step explanation:
−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p
= (-7p + 4p) + (2 - 6)
= -(7p - 4p) - (6 - 2)
= - 3p - 4
Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:
If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is 
. So:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
