Answer:
(23.97, 24.03)
Step-by-step explanation:
Given the data:
224.120 224.001 224.017 223.982 223.989 223.961 223.960 224.089 223.987 223.976 223.902 223.980 224.098 224.057 223.913 223.999
Confidence interval = m ± Zcritical(s/√n)
n = sample size = 16
Zcritical at 95% = 1.96
Using calculator :
Sample mean, m = 224.0019
Standard deviation, s = 0.0618
Lower bound : 24.0019 - 1.96(0.0618/√16) = 23.971618
Upper bound : 24.0019 + 1.96(0.0618/√16) = 24.032182
(23.97, 24.03)
Answer:
sec Θ = 
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (-
)² + 1 =
+ 1 =
, then
sec Θ =
= 
95*18%
18%=0.18
95 x 0.18 =17.1
Now, multiply 17.1 by 5 = 85.5
If you increase a number by 4.5%, then you're adding 4.5% of that number to 100% of that number. So essentially you just multiply 14187.13 by 104.5%, or 1.045 to find the answer, which is 14,825.55.
<span>Reason:
<u>The angle between tangents and angle subtended by radii are supplementary</u></span><u>∠BAP = 90° </u>
x = 180 - 73 = 107°
Answer: x = 107°