Answer:
x=y-4 is x=y-4
y=2+ 2x/2
Step-by-step explanation:
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: 
Test statistic: z
If 
, we do not reject the null hypothesis.
If 
, we reject the null hypothesis.
In this question:
Since , we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
Answer:
136
Step-by-step explanation:
(6-10i)(6+10i)
36 +60i - 60i - 100i²
36 - 100i² (i² = -1)
36 + 100
136
Answer:
3 metres
Step-by-step explanation:
Let the width of the pathway be x
Area: (9+2x)(4+2x)
36 + 8x + 18x + 4x²
4x² + 26x + 36
Increased area is 150:
4x² + 26x + 36 = 150
4x² + 26x - 114 = 0
2x² + 13x - 57 = 0
2x² + 19x - 6x - 57 = 0
x(2x + 19) - 3(2x + 19) = 0
(x - 3)(2x + 19) = 0
x = 3, x = -19/2
