5n + 4 = 39
5n = 39 -4
5n = 35
n = 35:5
n = 7
The percentage of that ratio is 16%
The simplest way to find any percentage is to divide the numerator by the denominator.
in this case that would be 8/15=0.16
16/100=16%
Answer:
140 feet
Step-by-step explanation:
You will need to find the perimeter of the backyard to find how many feet of fencing will be needed
the formula for perimeter is: 2l+2w
So 2 times 30 is 60
with 2 times 40 80
60+80 is 140
Thus you will need 140 feet to cover the backyard
Hope this helps!
Answer:
x = 27
Step-by-step explanation:
ΔBRD and ΔQCD are similar, hence the ratios of corresponding sides are equal, that is
=
note that BD = 26 + 39 = 65
substitute values into the ratio equation
= ( cross- multiply )
65x = 39(x + 18)
65x = 39x + 702 ( subtract 39x from both sides )
26x = 702 ( divide both sides by 26 )
x = 27
Let
S = sum of the data values
n = number of data values
The mean M is equal to
M = S/n
since you add up the values and divide by n. We don't need to know what S or n are.
If we add 5 to each data value, then we're adding on n copies of 5, or 5n
The new mean N is
N = (S+5n)/(n)
N = (S/n) + (5n/n)
N = M + 5
The new mean is a result of taking the old mean M and adding on 5
So,
N = M+5
N = 10+5
N = 15
The standard deviation will remain the same because each data value hasn't moved in relation to one another. Every data value has been shifted up the same amount. For instance if A and B are two points in this data set, then A+5 and B+5 will be the same distance away. Apply this logic to any number of data values. While standard deviation isn't that simple, it still has a loose connection to "distance" of the values, or how spread out they are.
So that's why the final answer is choice C)