I'll just show you how to make a frequency table using the above data.
We will group the data into class intervals and determine the frequency of the group.
<span>8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
</span>
smallest data value = 4
highest data value = 99
difference = 99 - 4 = 95
number of data = 17
Let us assign a class interval of 20.
Class Interval Tally Frequency
0-20 8, 12, 4, 18, 9, 5
21-40 25, 32, 39, 36, 33 5
41-60 45, 50, 67 3
61-80 62, 73, 80 3
81-100 99 1
That is how a frequency table look like. Usually, under the Tally column, tick marks are written instead of the numbers but for easier monitoring, I used the numbers in the data set.
Answer:666 hours
Step-by-step explanation: The reason is that if you turn the problem into an equation it would be h=Lx. h= hours. L=how long the log lasts and x=how many logs. So when you plug in the numbers you get 101010=L*151515. So we need to find L. What you do is you divide both sides by 151515 since it is the opposite of multiplication. 151515/151515 gets crossed out and 101010/151515 is .6666666666666 irrational. So the equation now looks like .666666 irrational=L. So .66666 irrational is your L. Know you plug .666666 irrational into your original equation. Which is now h=.6666 irrational*x. So to find how long the fire keeps on burning with 999 logs you just plug 999 into x and now your equation looks like this h=.6666 irrational*999. If you multiply .6666 irrational by 999 your final answer is 666.
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m = change in y / change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m = y^2 - y^1 / x^2 x^1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
3
−
(
−
6
)
8
−
(
−
15
)
Simplify.
Simplify the numerator.
Tap for more steps...
m
=
9
8
−
(
−
15
)
Simplify the denominator.
Multiply
−
1
by
−
15
.
m
=
9
8
+
15
Add
8
and
15
.
m
=
9/23
Answer:
Step-by-step explanation:
The area of a regular polygon is calculated using the formula;
where 
is the apothem and p is the perimeter.
It was given that, the apothem is, 
and the perimeter is 
We substitute into the formula to obtain;
To the nearest square inch, we have;
A conservative vector field
has curl
. In this case,
so the vector field is not conservative.
