Answer:
<em>1710 trees up to 2016 (not including 2016)</em>
<em>2100 trees up to 2016 (including 2016)</em>
Step-by-step explanation:
Given that
Farm started with 30 trees in 2007.
Every year 40 more trees than the previous year.
It is actually an Arithmetic Progression (AP) with
First term, a = 30 and
Common Difference, d = 40
The AP will look like:
30, 70, 110, 150, ....
We have to find the sum of this AP upto 9 terms and 10 terms:
9 terms sum will give us the total number of trees up to 2016 (not including 2016).
10 terms sum will give us the total number of trees up to 2016 (including 2016).
Formula for sum of 'n' terms of an AP:


<em>1710 trees up to 2016 (not including 2016)</em>
<em>2100 trees up to 2016 (including 2016)</em>
Answer:
0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Step-by-step explanation:
We are given the following information in the question:
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.
The distribution function can be written as:

The probability for exponential distribution is given as:

a) P( time between the next two calls will be 54 seconds or less)

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
b) P(time between the next two calls will be greater than 118.5 seconds)

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
-3y +4 = -11
-4 -4
-3y = -15
—— —-
-3y -3y
Y= 5
Answer:
~306
Step-by-step explanation:
34 * 9 = 306
To answer the question, you have to multiply $25,200 by 1/4 (portion allocated/ alloted for the tax -
$25,200 * 1/4 = 25,200/4 (then divide 25,200 by 4)
= $6,300
Therefore, the family spent $6,300 for taxes from their annual income of $25,200.