Answer:
2
Step-by-step explanation:
you move nine to 11 side by subtracting it.
Answer:
yes!
Step-by-step explanation: im pretty sure it is
Answer:
The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A
Step-by-step explanation:
<em>Parallel lines have the same slopes</em>
The slope of a line = Δy/Δx, where
Let us first find the slope of the line PQ.
∵ P = (-2, -2) and Q = (0, 7)
∴ Δx = 0 - (-2) = 0 + 2 = 2
∴ Δy = 7 - (-2) = 7 + 2 = 9
∴ The slope of PQ = 9/2
∵ Line PQ // line RS
∴ The slope of line PQ = the slope of line RS
∴ The slope of line RS =9/2
∵ Point R = (3, 0) and point S = (x, y)
∵ The slope of line RS = 9/2
∵ The slope = Δy/Δx
∴ Δy/Δx = 9/2
→ That means Δy = 9 and Δx = 2
∵ Δy = y - 0
∵ Δy = 9
∴ 9 = y
∵ Δx = x - 3
∵ Δx = 2
∴ 2 = x - 3
→ Add 3 to both sides
∴ 2 + 3 = x - 3 + 3
∴ 5 = x
∴ The coordinates of point S are (5, 9) will make line PQ // line RS
a(1) = 3(1)-1 = 3-1 = 2
a(2) = 3(2)-1 = 6-1 = 5
a(3) = 3(3)-1 = 9-1 = 8
So, the sequence would be 2,5,8,11....
Answer:
The P-value (0.159) is higher than the significance level (0.1), so we can not reject the null hypothesis.
The claim of the anti-tobacco campaign could be right about their estimation.
Step-by-step explanation:
This is a problem of hypothesis testing. In this case, about the teenage population's proportion of smokers.
<u><em>Hypothesis</em></u>
The null hypothesis, that needs to be tested, is that the proportion of teenage that use tobacco is less than 20%:
The alternative hypothesis is that this proportion is higher than 20%
The significance level is 0.10 and it is used a one-sample z-test.
Analysis
The proportion for the sample is:
Then, we calculate the standard deviation of the sample:
The z-value can now be calculated as:
The P-value for is
The P-value (0.159) is higher than the significance level (0.1), so we can not reject the null hypothesis.