Answer: b. The 99% interval is longer.
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where is the sample mean , is the population standard deviation , n is the sample size and is the two-tailed test value for z.
For 95% confidence interval the two-tailed test value for z is .
For 99% confidence interval the two-tailed test value for z is .
Since the interval is directly proportion al to the z-value , so it is clear that the width of the interval would be longer with z =3 than z=2.
i.e. The <u>99% interval</u> is longer than 95% confidence interval .
Answer:
20 use https://www.calculator.net/triangle-calculator.html
Step-by-step explanation:
Acute Isosceles Triangle
Side a = 1
Side b = 1
Side c = 0.51764
Angle ∠A = 75° = 1.309 rad = 5/12π
Angle ∠B = 75° = 1.309 rad = 5/12π
Angle ∠C = 30° = 0.5236 rad = π/6
C=30°B=75°A=75°b=1a=1c=0.518
Area = 0.25
Perimeter p = 2.51764
Semiperimeter s = 1.25882
Height ha = 0.5
Height hb = 0.5
Height hc = 0.96593
Median ma = 0.61966
Median mb = 0.61966
Median mc = 0.96593
Inradius r = 0.1986
Circumradius R = 0.51764
Vertex coordinates: A[0, 0] B[0.51764, 0] C[0.25882, 0.96593]
Centroid: [0.25882, 0.32198]
Inscribed Circle Center: [0.25882, 0.1986]
Circumscribed Circle Center: [0.25882, 0.44829]
+ Show Calculation Steps
tiệm cận ngang của đồ thị 3/x+3
Answer:
4x-3y=5
Step-by-step explanation: