Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Given end points of diameter,
(x1,y1)=(-3,-4)
(x2,y2)=(0,0)
Now,
the equation of circle is,
(x-x1)(x-x2)+(y-y1)(y-y2)=0
or, (x+3)(x-0)+(y+4)(y-0)=0
or, x^2 +3x +y^2 +4y =0
or, x^2 +y^2 +3x + 4y=0
which is in the form of x^2 +y^2 +2gx +2fy + c=0
where,
g=3/2
h=2
c=0
Now,
Answer:
Sam and Nancy will keep using married on their status until after December of the same year before they can start using divorced. status is being considered for the whole year cycle
Step-by-step explanation:
Answer:
3 x 5
Step-by-step explanation:
The dimension of a matrix is normally represented in form of:
<u>number of rows</u> x <u>number of columns</u>
In the given matrix, there are 3 rows and 5 columns.
=> The dimension of this matrix is 3 x 5
=> Option D is correct
Hope this helps!
The linear equation that is asked from the problem takes the
form of:
y = m x + b
where,
y = the median salary
x = the number of years
m = the slope of equation
b = y-intercept
The slope of the equation (m) can be calculated using the
formula:
m = (y2 – y1) / (x2 – x1)
m = (1326720 – 441300) / (2008 – 2000)
m = 110,677.5
The y-intercept is then obtained by using any of the data
pair:
441300 = 110677.5 (2000) + b
b = -220913700
Therefore the complete equation is:
y = 110677.5 x – 220913700
The median salary in 2016 is therefore:
y = 110677.5 (2016) – 220913700
y = $2,212,140
Answer:
$2,212,140
