Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
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.
In this problem, we have that:
Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower
Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher
Test scores of 31 or higher are significantly high
Answer:
Explanation:
Method 1
First, list the multiples of both numbers:
To find the lowest common multiple (LCM) of 6 and 8, first express the numbers as a product of its prime factors.
Next, pick the highest powers for each of the numbers:
Answer:
Below
Step-by-step explanation:
2x + 5 > -1
Treat the equality sign (ex. < >) as the costumary equal sign (=).
2x + 5 + (-5) > -1 + (-5) ---- -5 will cancel out the 5 on the left
2x/2 > -6/2 ------ divide by 2 to single out the x
x > -3
Remember to draw an open dot. Draw an arrow from -3 to the extreme right.
The answer is x² + 23x + 49
The area (A) of the shaded region is the difference between the area of the rectangle (A1) and the white square (A2).
A = A1 - A2
A1 = (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
A2 = (x +1 )² = x² + 2x + 1
A = A1 - A2
= 2x² + 25x + 50 - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49
