24 ÷ 21 with out any remainders
2 answers:
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*see attachment below for the box plots that is being referred to
Answer:
*The median weight for shelter A is greater than that for shelter B
*The data for shelter B are a symmetric data set
Step-by-step explanation:
Let's take each stated option and examine the box plot to see which is TRUE or NOT.
OPTION 1: "The median weight for shelter A is greater than that for shelter B."
The median for shelter A = 21,
Median for shelter B = 18
Median weight for shelter A (21) is greater than that for shelter B.
This statement in this option is TRUE.
OPTION 2: "The median weight for shelter B is greater than that for shelter A."
Median for B (18) < median of A (21)
This statement in option is NOT TRUE.
OPTION 3: "The data for shelter A are a symmetric data set."
This is NOT TRUE because the length of both whiskers are unequal and also, the box is not divided equally. One side is longer than the other.
OPTION 4: "The data for shelter B are a symmetric data set."
This is TRUE because the length of both whiskers are relatively equal, and also, the rectangular box is divided equally.
OPTION 5: "The interquartile range for shelter A is 8"
This is NOT TRUE.
IQR = Q3-Q1
IQR for shelter A is approximately = 28-17 = 11
Answer:
c) 6x + y = -52 is required equation perpendicular to the given equation.
Step-by-step explanation:
If the equation is of the form : y = mx + C.
Here m = slope of the equation.
Two equations are said to be perpendicular if the product of their respective slopes is -1.
Here, equation 1 : -x + 6y = -12
or, 6y = -12 + x
or, y = (x/6) - 2
⇒Slope of line 1 = (1/6)
Now, for equation 2 to be perpendicular:
Check for each equation:
a. x + 6y = -67 ⇒ 6y = -67 - x
or, y = (-x/6) - (67/6) ⇒Slope of line 2 = (-1/6)
but
b. x - 6y = -52 ⇒ -6y = -52 - x
or, y = (x/6) + (52/6) ⇒Slope of line 2 = (1/6)
but
c. 6x + y = -52
or, y =y = -52 - 6x ⇒Slope of line 2 = (-6)
Hence, 6x + y = -52 is required equation 2.
d. 6x - y = 52 ⇒ -y = 52 - 6x
or, y = 6x - 52 ⇒Slope of line 2 = (6)
but
Hence, 6x + y = -52 is the only required equation .
<u>ANSWER</u>
The line that is parallel to through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope .
Let be the equation of the line parallel to the line
We can substitute to obtain;
If the line passes through the point ,then this point must satisfy its equation.
We substitute and
to obtain;
We this equation for .
We substitute this value of in to
to get;
.
Hence the equation of the line that is parallel to through
is
.