Answer:
80% of the buttons were large.
Step-by-step explanation:
Recall that percentages are fractions.
We first need to find the total number of buttons that Eva bought
64 + 16 = 80
Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)
64 ÷ 80 = 0.8
To convert our decimal to a percentage, we must multiply it by 100.
0.8 * 100% = 80%
Therefore, 80% of the buttons were large.
Answer:
The shadow is 11 Ft. away from the pole base.
Step-by-step explanation:
I just usually do this trick in situations like these where if <em>x</em> equals 1, and <em>y</em> equals 2, then <em>z </em>is gonna be 3. 2 goes after 1, and 3 goes after 2. This trick can work in other counting-up situations like this, as long as the number go up, and are right next to each other.
It depends what your trying to get close to. If your trying to get close to a number that is easier to work with 1 4/8 is good because its the same as 11/2 but the closest whole number is 1.
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.
Answer:
12a³+2a²+23a+18
Step-by-step explanation:
(3a+2)(4a²-2a+9)=
12a³-6a²+27a+8a²-4a+18=
12a³+2a²+23a+18
If you need more explanation, reply to this answer.