Answer: y = 6
Step-by-step explanation:
The opposite sites of a parallelogram should be equal length. Therefore
, so
and thus
.
Answer: -2.5
Step-by-step explanation:
The average can be found by adding up the numbers then dividing by how many numbers there are in this case there are two numbers.
-30+25=-5
-5/2 = -2.5
Answer:
Step-by-step explanation:
so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6
Answer:

And we can find this probability using the complement rule and with the normal standard distribution or excel like this:

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
For this case we have two resistors with the following distributions:


And for this case we want the following probability:

First we need to find the distributon for 
Since both are normally distributed we have that a linear combination of normal distributions is also normal, so then we have this:

And we can use the z score formula given by:

And using this formula we got:

And we can find this probability using the complement rule and with the normal standard distribution or excel like this:

If you would like to know the percentage of the total area of the land on the farm that is used to grow wheat, you can calculate this using the following steps:
4 1/2 = 9/2 acres out of every 15 acres of land (to grow crops)
wheat: 5/8 of the land used to grow crops:
5/8 of 9/2 acres = 5/8 * 9/2 = 45/16 = 2 13/16 acres
2 13/16 acres is x% of 15 acres
2 13/16 = x% * 15
45/16 = x/100 * 15 /*100
45/16 * 100 = x * 15
x * 15 = 4500/16 /15
x = 4500/16 / 15/1
x = 4500/16 * 1/15
x = 75/4 = 18.75%
The correct result would be 18.75%.