Answer:
y = 5x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
Here m = 5 , then
y = 5x + c ← is the partial equation
To find c substitute (3, 4) into the partial equation
4 = 15 + c ⇒ c = 4 - 15 = - 11
y = 5x - 11 ← equation of line
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
Answer:
- Mean will Increase .
- Median remains unchanged.
- Standard deviation will increase.
Step-by-step explanation:
We are given that there are 14 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.
And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.
Now we have to analyse the Effect of this change in data values on mean, median, and standard deviation.
- Mean will get affected because $1,000,000 is a very huge value as compared to $100,000 and is considered to be an outlier and we know that mean is affected by outliers as mean will change to $134285.7143 after replacing $100,000 with $1,000,000 .
- Median will not get affected as median the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .
- Standard Deviation will also get affected as due to outlier value in the data set the numerator value will increase very much and due to which standard deviation will also increase.
Answer:
Step-by-step explanation:
Answer:
length: 120 feet
width: 80 feet
area: 9600 feet^2
Step-by-step explanation:
since the scale is 1 inch:10 feet:
to find the actual length, we would multiply 12 by 10, since 1 inch would be 10 feet and the length in the floor plan is 12 inches:
length = 12*10=120
the length of the actual room is 120 feet.
to find the actual width, we would multiply 8 by 10, for the same reasons i explained for the length:
width = 8*10=80
the width of the actual room is 80 feet.
to find the area, we would multiply length by the width:
80*120=9600 square feet.