Answer:
x = -1/8 x (Option D)
Step-by-step explanation:
First find the slope which is rise / run = difference in y values / corresponding difference in x values
= ( 0.5 - (-0.5) / (-4 - 4)
= 1 / -8
= -1/8
Using the point-slope form of the equation of a line
y - y1 = m(x - x1), here we have m = -1/8 and (x1, y1) = ( -4, 0.5) , so:-
y - 0.5 = 1/8(x - (-4)
y - 0.5= -1/8(x + 4)
y = -1/8 x - 0.5 + 0.5
y = -1/8 x (answer)
Answer:
d. 0.538
Step-by-step explanation:
Given information.
Standard deviation is 4.3
Random sample of 10
Consider the following calculations
P (sample mean is within 1 month of population mean)=
P(-1*sqrt(10)/4.3 <Z<sqrt(10)/4.3)=P(-.735<Z<0.735)
=0.538
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
