Answer:
Radius = 504units
Step-by-step explanation:
Angle = 10°
Length of arc = 28π units
L = ∅/360 × 2πr
28π = 10/360 × 2πr
28π = 1/36 × 2πr
2πr = 28π × 36
π cancelled off.......
2r = 28 × 36
r = (28 × 36)/2
r = 28 × 18
r = 504units
Answer:
33
Step-by-step explanation:
If m = Mother's age and d = daughter's age, we can make the following equations
m = 3d
m + d = 44
Now, using substitution, we can substitute m for 3d in the second equation:
3d + d = 44, 4d = 44, d = 11
Then, we can plug d into the first equation: m = 3(11) = 33
Step-by-step explanation:
a. The point estimate is the mean, 47 days.
b. The margin of error is the critical value times the standard error.
At 31 degrees of freedom and 98% confidence, t = 2.453.
The margin of error is therefore:
MoE = 2.453 × 10.2 / √32
MoE = 4.42
c. The confidence interval is:
CI = 47 ± 4.42
CI = (42.58, 51.42)
d. We can conclude with 98% confidence that the true mean is between 42.58 days and 51.42 days.
e. We can reduce the margin of error by either increasing the sample size, or using a lower confidence level.
Opposite angles in a parallelogram have to be equal so
3y=66
y=22
