"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equations:


As we know that the slope intercept form of a line is
y = m x + c
So, from equation 1 and equation 2 we can see that


So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.
Answer:
D
Step-by-step explanation:
Answer:
15.5
Step-by-step explanation:
Answer:
Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Step-by-step explanation:
The hypotheses would be;
Null hypothesis;H0: μ = 500
Alternative hypothesis;Ha: μ ≠ 500
Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.
Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Answer:
By power of a point, AC⋅CB=DC⋅CE. That is, 12⋅12=6⋅(2R–6).
Then, R=15.