what is the point slop equation of the line through the points (-5,5) that is perpendicular to the line whose equation is 5x=3y
2 answers:
Answer:
y - 5 = - (x + 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Given
5x = 3y , that is
3y = 5x ( divide both sides by 3 )
y = x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
and (a, b) = (- 5, 5), then
y - 5 = - (x - (- 5) ), that is
y - 5 = - (x + 5) ← equation of perpendicular line
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Answer:
a) $160
b) $116.50
Step-by-step explanation:
a) Let the original price of the yellow bicycle be $x.
Since both has the same original price,
original price of yellow bicycle= 100% x
original price of green bicycle= 100% x
Discounted price of yellow bicycle
= (100% -25%) x
= 75% x
Discounted price of green bicycle
= (100% -30%) x
= 70% x
Difference in cost
= 75%x -70%x
= 5% x -----(1)
From 2nd paragraph:
Discounted price of yellow bicycle
= Kyreen's money +3.50
Discounted price of green bicycle
= Kyreen's money -4.50
Difference in cost
= (Kyreen's money +3.50) -(Kyreen's money -4.50)
= Kyreen's money +3.50 -Kyreen's money +4.50
= 3.50 +4.50
= 8.00 -----(2)
Equating (1) and (2) together:
5% x= 8.00
x= 8 ×20
x= 160
Thus, the original price of the yellow bicycle is $160.
_______
b) Amount Kyreen has at first
= discounted price of yellow bicycle -$3.50
= 75%($160) -$3.50
= $120 -$3.50
= $116.50
The confidence interval is based on mean square error. T<span>he </span>mean squared error<span> (</span>MSE<span>) </span><span>of an </span>estimator<span> measures the </span>average<span> of the squares of the </span>errors<span> or </span>deviations.<span> MSE is calculated by the formula attached in the picture, where Xbar is a vector of predictions, X is the vector of predicted values. </span>
