Answer:
>
<
>
Step-by-step explanation:
What is the mood of this data set ? {8,11,20,10,2,17,15,5,16,15,25,6}
Elena-2011 [213]
Answer: C
Step-by-step explanation:
15 occurs in it more often
Answer:
Option A. y = –2x + 27
Step-by-step explanation:
y – 7 = ½(x + 2)
We'll begin by calculating the slope of the equation above. This can be obtained as follow:
y – 7 = ½(x + 2)
Clear bracket
y – 7 = ½x + 1
Rearrange
y = ½x + 1 + 7
y = ½x + 8
Comparing
y = ½x + 8
with
y = mx + c
The slope (m) = ½
Next, we shall determine the slope (m2) of the equation perpendicular to the line. This can be obtained as follow:
For perpendicularity,
m1 × m2 = –1
m1 = ½
½ × m2 = –1
m2 /2 = –1
Cross multiply
m2 = 2 × –1
m2 = –2
Therefore, the slope of the equation perpendicular to the line is –2
Finally, we obtained the equation of the line as follow:
Coordinate = (6, 15)
x1 coordinate = 6
y1 coordinate = 15
Slope (m) = –2
y – y1 = m(x – x1)
y – 15 = –2(x – 6)
Clear bracket
y – 15 = –2x + 12
Rearrange
y = –2x + 12 + 15
y = –2x + 27
Therefore, the equation is y = –2x + 27
Answer:
C
Step-by-step explanation:
When we speak about the least common multiple, we are talking about the lowest number in which these given values are a factor of
Firstly, I would like to consider the number parts only I.e 3, 12 and 15. Using the long division l.c.m method, the lowest common multiple of these is 60.
In the options, there are two options carrying 60. How do we know which is correct? We simply look at the alphabets and try the long division again.
The highest powers of x and y is the 3rd power and hence gives their lowest common multiple.
Please check the attachment for the long division.