Answer:
y = -0.25x - 6
Step-by-step explanation:
You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:
(0,-6);(4,-7)
The general equation for a line:
y = m*x + n
The two points on the graph form a system of two equations:
1. -6 = m*0 + n
2. -7 = m*4 + n
You can read off n right away fro equation 1:
n = -6
Plugging n into equation 2:
-7 = m*4 - 6 => -1 = m*4 => m = -1/4
Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So



has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22



has a pvalue of 0.8413
X = 20



has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
=10-10i
Explanation:
3-4i+7-6i
(Add 3 and 7)
(Add -4i and -6i)
Put together
10-10i
Answer:
equation of a line:
y = mx+c
1) find the gradient, m



2) find y-intercept, c using coordinate (1,-4)
y = mx + c
-4 = 0(1) + c
c = -4
the equation of line:
y = mx+c
y = 0(x) + c
y = c
y = -4
X is 125 as well because it’s an Cubs all sides are equal