reflect a circle about a line L through its center, then rotate it through 40◦ counterclockwise, and then reflect it once more a
bout the same line L
1 answer:
Answer:
The answer is provided in the attachments as Picture.
Step-by-step explanation:
We take a circle with a line L passing through its center and mark a point P initially on the circle.
No, we perform all the mentioned operations on the circle and note the change through the change in position of P.
The whole procedure is attached as the PNG in the answer.
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Answer:
The equation of the graph after translating one unit to the left is;
Step-by-step explanation:
The given equation is
We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4
Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;
The equation of the graph becomes;
.
Answer:
a. We fail reject to the null hypothesis because zo = -5.84 < 1.65 = zα and P-value = 1 (approximately)
b. The confidence Interval for u1 - u2 is; 6.79 ≤ u1 - u2
c. The power of the test = 1 -
β = 0.998736
d. The sample size is adequate because the power of the test is approximately 1
Step-by-step explanation:
Given
Standard Deviations; σ1 = σ2 = 1.0 psi
Size: n1 = 10; n2 = 12
X = 162.5; Y = 155.0
Let X1, X2....Xn be a random sample from Population 1
Let Y1, Y2....Yn be a random sample from Population 2
We assume that both population are normal and the two are independent.
Therefore, the test statistic
Z = (X - Y - (u1 - u2))/√(σ1²/n1 + σ2²/n2)
See attachment for explanation
