Answer:
6+(-2)
Step-by-step explanation:
6 is positive but we are subtracting 2. Therefore, the expression is 6 plus -2. It is negative because that is what we are taking away. The plus sign does not mean anything because there is a negative number. When you look at it, you immediately read 6 plus -2 and since it is a negative not a positive then it's subtracting not adding.
Answer:
5 classes.
Step-by-step explanation:
You can use the
rule to determine the number of classes for a frequency distribution.
The
rule says that
where
is the number of classes
is the number of the data points
We know that the number of data points is
= 20.
Next, we start searching for
so that we can get a number 2 to the
that is larger that the number of data points.

This suggests that you should use 5 classes.
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
gf(x)=g(f(x))
f(x)=3x and g(x)=5x-3
gf(x)=g(f(x))=g(3x)=5(3x)-3=15x-3