The sum of the squares
1 answer:
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Answer:
6
Step-by-step explanation:
Let the two integers be a and b.
The difference of them is 26. Thus:
One of them (let's use a) is 2 more than 5 times the other. Thus:
Substitute:
Combine like terms:
Subtract 2 from both sides:
Divide by 4:
And the second number is:
Add 6 to both sides:
So, our two numbers are 32 and 6
And the smaller integer is 6.
And we're done :)
Answer:
Must add: 202
Step-by-step explanation:
a = x
2ab = 26x
2ab = 26a [ substitute a instead of x]
b= 13
So,
But given equation is :
We have find the difference between 169 and -33 to get the number that should be added to get the perfect square.
That is , 169 - (-33) = 202
Therefore ,
Answer:
And we can find this probability with this difference:
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 temperatures 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 with this difference: