Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
here [ a, b ] = [ - 7, - 1 ]
f(b) = f(- 1) = (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9
f(a) = f(- 7) = (- 7)² + 2(- 7) - 8 = 49 - 14 - 8 = 27
Hence
average rate of change = 
= 
= - 6
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
19 + X > 26
X > 7
To break your record you need more than 7 digs
Answer:
a=19
Step-by-step explanation:
Since it is a parallelogram, adjacent angles are supplementary, or add to 180 degrees.
In this parallelogram, 5a+1 and 3a+27 are adjacent. Therefore, when added, they should equal 180.
5a+1+3a+27=180
Combine like terms
(5a+3a) + (1+27) = 180
8a +28 =180
Now, solve for a, by isolating it.
Subtract 28 from both sides
8a+28-28=180-28
8a=152
Divide both sides by 8
8a/8=152/8
a=19
