Answer:
Standard form means that you write the terms by descending degree.
x^4y^2 + 4x^3y + 10x^2
The degree of the first term x^4y^2 is 4+2=6
The degree of the second term 4x^3y is 3+1=4
The degree of the third term 10x^2 is 2
The terms are written by descending degree. Therefore, polynomial x^4y^2 + 4x^3y + 10x^2 is written in standard form.
Step-by-step explanation: I hope this helps <3
The right answer for the question that is being asked and shown above is that:
Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37
So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17
<span>So the two numbers are 54 and 17</span>
Answer:
6. 5
7.2
8.6
9.-12
Step-by-step explanation:
Answer:
And we can find this probability using the complement rule and with the normal standard table or excel:
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 average household spent 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 the normal standard table or excel:
The answer would be 10 because the full side is 20 and it’s only asking for half the side so it would be 10