Answer:
x=15
Step-by-step explanation:
subtract 1 from both sides so you are left with 2x=5x-45
then subtract 5x from both sides and you have -3x=-45
then finally divide -3 from -45 to get x=15
Answer:
D.
Step-by-step explanation:
We are asked to find the GCF of
.
Since we know that GCF of two numbers is the greatest number that is a factor of both of them.
First of all we will GCF of 44 and 121.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 121 are: 1, 11, 11, 121.
We can see that greatest common factor of 44 and 121 is 11.
Now let us find GCF of
.
Factors of
are: 
Factors of
are: 
We can see that greatest common factor of
is
.
Now let us find GCF of
.
Factors of
are:
Factors of
are:
We can see that greatest common factor of
is
.
Upon combining our all GCFs we will get,
Therefore, GCF of
is
and option D is the correct choice.
Answer:
Step-by-step explanation:
The prices he was quoted are listed below: $663, $273, $410, $622, $174, $374
We would first determine the mean.
Mean = sum of terms in the data/ number of terms in the data.
Sum of terms =
663 + 273 + 410 + 622 + 174 + 374
= 2516
Number of terms = 6
Mean = 2516/6 = 419.33
Standard deviation = √summation(x - m)^2/n
summation(x - m)^2/n = (663 - 429.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2
= 179417.9334/6 = 29902.9889
Standard deviation = √29902.9889
= 172.9
Answer:
The histogram of the data is attached below.
Step-by-step explanation:
A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.
The data provided is:
X Frequency
1 12
2 3
3 7
4 9
5 18
6 14
The histogram of the data is attached below.