A is (2, -1)
The X axis will not change since A is not going left or right of (2,2). You would count down 3 spaces for the y-axis and that would land you at -1 or you could solve by subtraction.
2-3= -1
Let n = required random sample size.
Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.
Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²
This means that the sample size is about 128 times the population variance.
Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
Answer: XI = 10.35 mm
Step-by-step explanation:
Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
XI/SinF = XF/SinI = FI/SinX
The sum of the angles in a triangle is 180°. It means that
F + 63 + 52 = 180
F = 180 - (63 + 52)
F = 65°
Therefore
XI/Sin 65 = 9/Sin 52
Cross multiplying, it becomes
XISin52 = 9Sin65
0.788XI = 9 × 0.906
0.788XI = 8.154
XI = 8.154/0.788
XI = 10.35
First you solve for X then substitute the number you got for X and then solve for Y.