61/8 or 7 and 5/8. I would try either one
Full Question:
The 4th term of a g.p. is 40 and the 10th term in the sequence is 2560, what is the 11th term in the sequence ?
Answer:
the 11 the term is 5120
Step-by-step explanation:
Given
Geometry Progression
4th term = 40
10th term = 2560
Required
11 term.
The nth term of a geometric sequence is calculated as follows
Tₙ = arⁿ⁻¹
For the 4th term, n = 4 and Tₙ = 40
Substitute these in the given formula; this gives
40 = ar⁴⁻¹
40 = ar³. --;; equation 1
For the 10th term, n = 10 and Tₙ = 2560
Substitute these in the given formula; this gives
2560 = ar¹⁰⁻¹
2560 = ar⁹. --;; equation 2
Divide equation 2 by 1. This gives
2560/40 = ar⁹/ar³
64 = r⁹/r³
From laws of indices
64 = r⁹⁻³
64 = r⁶
Find 6th root of both sides
(64)^1/6 = r
r = (2⁶)^1/6
r = 2
Substitute r = 2 in equation 1
40 = ar³. Becomes
40 = a * 2³
40 = a * 8
40 = 8a
Divide both sides by 8
40/8 = 8a/8
5 = a
a = 5.
Now, the 11 term can be solved using Tₙ = arⁿ⁻¹ where n = 11
So,
Tₙ = arⁿ⁻¹ becomes
Tₙ = 5 * 2¹¹⁻¹
Tₙ = 5 * 2¹¹⁻¹
Tₙ = 5 * 2¹⁰
Tₙ = 5 * 1024
Tₙ = 5120.
Henxe, the 11 the term is 5120
Answer:
B and D
Step-by-step explanation:
Options are
A. Their confidence interval would be less likely to capture the sample mean.
B. The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.
C. They would increase the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.
D. They would decrease the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.
A. Confidence interval is pivoted around mean. So this is an incorrect option.
B. 90% sample values around mean will be included in case of 90% confidence interval and 95% sample values around mean wil be included in case of 95% confidence interval. So this option is correct
C. Margin of error increases with increase in confidence interval as likelihood of a sample value deviating from mean increases. So this is incorrect.
D. same explanation as above
The answer is the first one; 81.26m
Answer: 
Step-by-step explanation:
Volume is base* height
the base a the circle
area of a circle: 
the radius is 1/2 of the diameter, so it's 4
To find the volume I multiplied it by 8 (height)
