What is an equation for the line perpendicular to y=-1/8x+6 that passes through (-3,-10)
1 answer:
Answer:
y = 8x + 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 6 ← is in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 8 , then
y = 8x + c ← is the partial equation
To find c substitute (- 3, - 10 ) into the partial equation
- 10 = - 24 + c ⇒ c = - 10 + 24 = 14
y = 8x + 14 ← equation of perpendicular line
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Answer: m=0.5
Step-by-step explanation:
Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
m=Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
y2−y1/y2−y1
7−9.5/2-7
2.5/-5 m=0.5
Answer:
And using the cumulative distribution function we got:
The probability that preparation is within 2 minutes of the mean time is 0.134
Step-by-step explanation:
For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:
The cumulative distribution function is given by:
The expected value is given by:
And we want to find the following probability:
And we can find this probability on this way:
And using the cumulative distribution function we got:
The probability that preparation is within 2 minutes of the mean time is 0.134