Answer:
Step-by-step explanation:
A linear function has the following format:
In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.
Rate of change of 3
This means that 
So
A solution at (6, 12).
This means that when x = 6, y = 12. So
The linear function is:
To solve this problem, we should remember that the percentile rank of a single
value is the rank of that value in the series of data set when that data set is
arranged in ascending order.
Therefore arranging the data set, gives the sequence:
5581, 5700, 5700, 5896,
5972, 5993, 6075, 6274, 6283, 6381
<span>Since we are to find the
30th percentile (30 %) and there are a total of 10 values, therefore
the 30th percentile is:</span>
10 * 30% = 3
<span>This means we look for
the 3rd number in the ordered sequence.</span>
<span>
</span>
<span>Answer: 5700 is the 30th
percentile of the series</span>
First off we need to use the formula S = rΘ
S - is the arc length
Θ - is theta which is the radian measure
r - is the radius
In this problem we need to find r
So, our equation would look like:
S ÷ Θ = r
Before we solve though, we need to convert the degrees to radians:
To convert from degrees to radians, multiply the degrees by π/180° radians:
60 x π/180 = 1.0472
If you input the numbers you get:
10.2 / 1.0472 = 9.740
The radius is 9.7 yards.
It would be 4!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option (b) is correct.
The sum of given expression 
is 
Step-by-step explanation:
Given:Expression
We have to find the sum of the given expression and choose the correct from the given options.
Consider the given expression .
can be written as 
Also, 
can be written as 
Now, the given expression becomes,
.
Now, adding like term, terms having same variable with same degree.
.
Thus, The sum of given expression is
