Answer: M=-2 , B= 2 , Equation: Y= -2x+2
Step-by-step explanation:
M is the slope. Slope is "rise / run", so 2 over -1. simplified, that is -2. B is the y-intercept, or where the graph crosses the y-axis. So, b will be 2.
Answer:
x = 
Step-by-step explanation:
Given
= - 4
Multiply both sides by 5
3ax - n = - 20 ( add n to both sides )
3ax = - 20 + n = n - 20
Isolate x by dividing both sides by 3a
x =
Answer: the probability that a measurement exceeds 13 milliamperes is 0.067
Step-by-step explanation:
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = current measurements in a strip.
µ = mean current
σ = standard deviation
From the information given,
µ = 10
σ = 2
We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as
P(x > 13) = 1 - P(x ≤ 13)
For x = 13,
z = (13 - 10)/2 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.933
P(x > 13) = 1 - 0.933 = 0.067
(area of square) - (area of triangle)
We know the are of a square is equal to s^2, where s is the side length.
While the are of a right angle tringle is 1/2*base*height
Then we have,
s = 10
base = 4
height = 4
(area of square) - (area of triangle)
=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92
Finally we get: 92 in^2
