Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is
=
= 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)
The relationship between variance and standard deviation is :
Standard deviation = sqrt (variance),
Variance = standard deviation^2.
hope this help
Answer:
True. See explanation below
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
And the we can find the F statistic
Answer:
-3
Step-by-step explanation:
slope (m) = (y2 - y1)/(x2 - x1)
(1, 1) --> 1 = x1, 1 = y1
(2, -2) --> 2 = x2, -2 = y2
(-2 - 1) / (2 - 1) = -3 / 1 = -3
therefore, the slope is -3
hope this helps <3
Answer: Rounded: 350 miles/inch
Exactly 352 miles per inch.
Step-by-step explanation: Divide the miles by the inches to find miles per inch.
880/2.5 = 352.
It would make sense to round that to say the scale is 350 miles per inch.
One inch represents 350 miles