Tacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of
1 answer:
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Answer:
y = - 3x + 16
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 + 8 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3, so
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (6, - 2) into the partial equation
- 2 = - 18 + c ⇒ c = - 2 + 18 = 16
y = - 3x + 16 ← equation of perpendicular line
Answer:
a. 0.82%
b. 71.11%
c. 0.564 micrometer
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
a.
So for 0.62 copies we have:
z = (0.62 - 0.5) / (0.05)
z = 2.4
and this value represents 0.9918
p (x > 0.62) = 1 - 0.9918
p (x > 0.62) = 0.0082 = 0.82%
b.
So for 0.47 copies we have:
z = (0.47 - 0.5) / (0.05)
z = -0.6
and this value represents 0.2742
So for 0.63 copies we have:
z = (0.63 - 0.5) / (0.05)
z = -2.6
and this value represents 0.9953
p (0.47 > x > 0.63) = 0.9953 - 0.2742
p (0.47 > x > 0.63) = 0.7211 = 72.11 %
c.
So for x copies we have:
p = 0.9, It represents z =1.28
1.28 = (x - 0.5) / (0.05)
x = 1.28*0.05 + 0.5
x = 0.564 micrometer
