Answer:
x = - 8
Step-by-step explanation:
x - 124 = 9(2x + 3) - 15
x - 124 = 18x + 27 - 15
x - 124 = 18x + 12
x - 124 + 124 = 18x + 12 + 124
x = 18x + 136
x - 18x = 18x - 18x + 136
- 17x = 136
- 17x ÷ - 17 = 136 ÷ - 17
x = - 8
QS bisects the ^PQR^ :
So -----¢ PQS = SQR = 45°
_________________________________
PQR = PQS + SQR = 45°+ 45° = 90 °
Q^ = 90° ----¢ So the PQR triangle is a
right triangle.
Answer:
D) $110 and $190
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 deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 150
Standard deviation = 20
95% of the monthly food expenditures are between what two amounts?
By the Empirical Rule, within 2 standard deviations of the mean
150 - 2*20 = $110
150 + 2*20 = $190
So the correct answer is:
D) $110 and $190
Answer:
You can draw a graph.
(-3,2) |
(-2,1) |
___.__(-1,0)__ | __.____.___
| (1,-1)
|
|
As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.
Hope this helps!
