Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)
This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
<em><u>462 Dollars!</u></em>
Answer:
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.
The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Answer:
I believe the answer to this question is (4,1)
Answer:
190.684
Step-by-step explanation:
To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs
, 1

, 1 1
2, <u>9</u> 2
9 261
38, <u>0</u> 2 60
0 0
.
380, 6 26000
, 6 22800
3806, 8 320000
, 8 304480
38068, 4 1552000
,4
Which gives 190.684
3 63 60
We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1
We have 1 * 1 = 1
We subtract it from the 3 to get 2
We add the 1's to get 2
We bring down the next pair which is 63 to form the next dividend, 263
We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261
We continue till we arrive at the vertical paired numbers which is 190.684.