Answer:
3/4 and -3/4
or
0.75 and -0.75
but there is no solution for
10 times the smaller number added to 6 times the larger number to get 3 as result.
the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).
therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).
it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.
Step-by-step explanation:
x + y = 0
10×x + 6×y = 3
=>
x = -y
10×(-y) + 6×y = 3
-10y + 6y = 3
-4y = 3
y = -3/4
=>
x = -y = -(-3/4) = 3/4
control :
10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3
12/4 = 3
3 = 3
correct
When the variance of a sample of 144 observation is 576 then, the standard deviation of the sample equals 24
The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Given,
The number of samples = 144
The variance = 576
The standard deviation is the square root of variance
The standard deviation = 
=24
Hence, when the variance of a sample of 144 observation is 576 then, the standard deviation of the sample equals 24
Learn more about Standard deviation here
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Answer:
6x^3 + 3x^2 - x
Step-by-step explanation:
6x^3 - X x (1-3x)
= 6x^3 - x + 3x^2
=6x^3 + 3x^2 - x
Answer:
Step-by-step explanation:
<u>Given inequality:</u>
<u>Solve it:</u>
The graph includes the number line to the right of 5 and the 5 is included, so this point is represented by a full dot.
Correct choice is A
