Answer:
X + Y - W - Z = 180
Step-by-step explanation:
In parallel lines If you use the rules of:
* Alternate angles are equal
* Linear Pair Angles supplement to 180
And use the picture below for calculating the result: finally we get
Z = Y - (180 - (X - W)) which becomes the answer above if you simplify the parentheses.
9.09% increase.
First find the difference between the two numbers.
(4)
then, divide the result by the original amount...
4÷ 44
then multiply by 100
9.09 and that is to the nearest 10th otherwise your answer 9% increase from 44 to 48.
Answer:20p+16
Step-by-step explanation:
Combine like terms
4(7p+4-2p)
4(5p+4)
Distribute
4(5p+4)
20p+16
Answer:
And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"
Step-by-step explanation:
1) 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".
2) Calculate the z score
Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:
Where and
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 the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"
Answer:
No
Step-by-step explanation:
This is from a website so you might have to rephrase it but Direct variation describes a simple relationship between two variables . We say y varies directly with x (or as x , in some textbooks) if:
y=kx
for some constant k , called the constant of variation or constant of proportionality . (Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x .")
This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
The graph of the direct variation equation is a straight line through the origin.