Answer:
And in the figure attached we see the limits with the percentages associated.
Step-by-step explanation:
For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:
For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%
We can find the limits and we got:
And in the figure attached we see the limits with the percentages associated.
Answer:
−15x2+23x−6
Step-by-step explanation:
(3x−1)(−5x+6)
=(3x+−1)(−5x+6)
=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)
=−15x2+18x+5x−6
=−15x2+23x−6
28 + 29 + 42 = 28 + 42 + 29 = 99
Commutative property: a + b = b + a
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
