Answer:
22x^2 -10xy + 12x
Step-by-step explanation:
To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.
10x^2 + 12xy + 4x
+ 12x^2 -22xy + 8x
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22x^2 -10xy + 12x
Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.
Answer:
3x=78+(x-2)
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
3x=78+(x-2)
A markdown in math is basically a decrease in whatever numbers you are working with.
Answer:
32
Step-by-step explanation:
To compare how much more Lola hiked we need the miles that each one hiked.
Elton hiked 16 miles each day for 12 days, the total amount of miles he hiked we can found by multiplying 16 by 12:
16miles(12) = 192 miles
Lola hiked 14 miles each day but for 16 days, so the total amount of miles she hiked can be found by multiplying 14 by 16:
14miles(16days) = 224
The difference of miles we found by subtracting 192 (elton's miles) from 224 (lola's miles)
224 - 192 = 32
Answer:
The standard deviation of the sum is of 8.06.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When we add two normal variables, the mean is the sum of their means, and the standard deviation is the square root of the sum of their variances. In this question:
First intersection -> Standard deviation of 4
Second intersection -> Standard deviation of 7
Sum:
The standard deviation of the sum is of 8.06.
