The answer is 3 sq root of 2 or around 4.2 ft
y=kx
Substitute the given x and y values, and solve for k .
30=k⋅6
k=5
The equation is y=5x . Now substitute x=100 and find y .
y=5⋅100y=500
Sorry If It's Wrong. . .
The rule is 3x. The numbers are multiplied by 3 each time.
There will be no angle between the lines as the lines are parallel.
We are given the two lines:
2 x - 3 y + 5 = 0 and 2 x - 3 y - 7 = 0
Slope of the line 2 x - 3 y + 5 = 0:
-a₁/b₁ = -2/-3 = 2/3
Slope of the line 2 x - 3 y - 7 = 0
-a₂/b₂ = -2 / -3 = 2/3
Since both the lines have same slopes, they are parallel lines and will not intersect each other.
So, there will be no angle between the lines.
Learn more about parallel lines here:
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Answer:
Reject H0 as the critical region for alpha = 0.07 is z ≤ -1.82 and z≥ 1.82
Step-by-step explanation:
For the significance level ∝ = 0.07
For a two tailed test we divide it with 2 and get 0.035
When we subtract 0.035 from 1 we get 0.965
And when we look at the z- table and corresponding to 0.965 we find the value of z to be 1.82
Now the calculated value of z= -1.94 which is less than ±1.82.
Hence reject H0 if z ≤ -1.82 and z≥ 1.82
Therefore reject H0.
While ∝ =0.07
p- value = 0.06 should be examined
the p- value is the smallest value of ∝ where we reject H0.
Hence at ∝= 0.06 critical region is z ≤ -1.88 and z≥ 1.88
At ∝= 0.05 critical region is z ≤ -1.96 and z≥ 1.96
So p- value is near 0.06