Lets calculate the taxes that would been payed at each city:
city1 = 12000(7%) = 12000(0.07) = 840
city2 = <span>12000(8.5%) = 12000(0.085) = 1020
So if you go to city1 instead of city2, you save 1020 - 840 = 180
So you would save $180 from $12000, that is:
180 out of 12000
= 180/12000
= 0.015
and that is the 1.5%, that is what you could save</span>
We can say that x is the largest number.
So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5
Now solve for x:
x + x + x + x + x - 1 - 2 - 3 - 4 = -5
5x - 10 = -5
5x = 5
x = 1
So the largest number is 1.
Check: 1 + 0 + -1 + -2 + -3 = -2 + -3 = -5 so 1 is correct.
Answer:
x=4 and y=3
Step-by-step explanation:
put one of the equations in slope form and solve
Let's attack this problem using the z-score concept. The sample std. dev. here is (0.25 oz)/sqrt(40), or 0.040. Thus, the z score representing 3.9 oz. is
3.9 - 4.0
z = -------------- = -2.5
0.040
In one way or another we must find the area under the std. normal curve that lies to the left of z = -2.5. Use a table of z-scores or a calculator with built-in statistics functions. According to my TI-83 Plus calculator, that area is
0.006. One way of interpreting this that with so small a standard deviation, most volumes of coffee put into the jars are very close to the mean, 4 oz.
