Answer:
5+11i-16-4i+9i
5-16+11i-4i+9i
-11+7i+9i
-11+16i
Step-by-step explanation:
First, get the like terms together. Then add or subtract until its simplified. Simplified is -11+16i.
Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and with excel or the normal standard table:
Answer:
1. the translation from the original to the translated figure was 2 units up and 1 unit to the left
2. the points of the translated figure if it were translated 2 units down and 3 units to the right would be: A' (4,0), B' (6,-6), C' (5,3), D' (-1,0)
Step-by-step explanation:
Answer:
15 rentals
Step-by-step explanation:
You can (and may be expected to) set up an equation that equates the total cost at one store to the total cost at the other store. When you work through the solution of this equation, you find that the "break even" number of rentals is the ratio of the difference in fixed cost (setup fee) to the difference in per-use cost (rental charge).
Here, that ratio is ...
(15.00 -7.50)/(2.25 -1.75) = 7.50/0.50 = 15
15 rentals will make the total costs the same.
1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.
2. They tell us that it is 40 centimeters on the first map.
3. If on the first map
then:

4. Then the distance from Cleveland to Cincinnati is 400 kilometers.
5. On the second map 
6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:

The answer is: 8 centimeters.