Answer:
x=-7/9, y=4/3. (-7/9, 4/3).
Step-by-step explanation:
6x+2y=-2
3x-2y=-5
-----------------
9x=-7
x=-7/9
6(-7/9)+2y=-2
-42/9+2y=-2
2y=-2-(-42/9)
2y=-2+42/9
2y=-18/9+42/9
2y=24/9
y=(24/9)/2
y=(24/9)(1/2)
y=24/18
y=4/3
Answer: shrink by 10 years
Step-by-step explanation:
So hmm notice the picture below
thus, the perimeter of the gutter is just w + w + l, or 2w +l
thus

take the derivative of A(w), zero it out, check any critical points in the interval of (0, 22), for a maxima
recall, the aluminum sheet is just 22inches long, thus, whatever the "depth" or "w" is, has to be more than 0, and less than 22
Answer:
The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.
Step-by-step explanation:
Given : Suppose a brand of light bulbs is normally distributed, with a mean life of 1400 hr and a standard deviation of 150 hr.
To find : The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr ?
Solution :
Applying z-score formula,

where,
is population mean
is standard deviation
For x=1175 hour,



For x=1610 hour,



The required probability is,


Using z table, the values are


The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.
(a)^1/3
------------ = (a)^1/3-1/4 = (a)^1/12
(a)^1/4