Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y-axis
a point (x, y ) → (- x, y )
Hence
A'(-5, - 3 ) → A''(5, - 3 )
B'(4, 4 ) → B''(- 4, 4 )
C'(4, 2 ) → C''(- 4, 2 )
D'(- 2, - 1 ) → D''(2, - 1 )
It is false. Although integers above 0 divided by 0 is 0, negative numbers can also be integers (-1,-3,-10, etc.), and when they are divided by zero, they are undefined. That means that it is not really a number.
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Answer:
1) x < 1, x > 9
2) 2 < x ≤ 6, -4 ≤ x < 0
Step-by-step explanation:
1) lx - 5l > 4
x - 5 = 4
x = 9
-(x - 5) = 4
x = -4 + 5 = 1
x < 1, x > 9
3) 1 < lx-1l ≤ 5
1 < x-1 ≤ 5
2 < x ≤ 6
1 < -(x-1) ≤ 5
-5 ≤ x-1 < -1
-4 ≤ x < 0
