Answer:
The estimate of a range of plausible values for the true proportion of people that will not wait more than one minute on hold at a 95% confidence level is
Confidence interval = (549.404, 610.596)
Step-by-step explanation:
We will be finding the confidence interval at 95% confidence level.
The proportion of people that hang up the phone in the first minute of waiting
= P = (580/1000) = 0.58
We can then calculate the standard deviation of the distribution of sample means = σₓ = √[np(1-p)]
where n = sample size = 1000
σₓ = √[np(1-p)] = √[1000×0.58×0.42] = 15.61
Confidence interval = (Sample mean) ± (Margin of error)
Sample mean = 580
Margin of Error = (critical value) × (standard deviation of the distribution of sample means)
Critical value = 1.960
Even though we do not have information on the population mean and standard deviation, we can use the z-distribution's z-score for 95% confidence interval instead of the t-distribution's t-score since the sample size is 1000.
Margin of error = 1.960 × 15.61 = 30.596
Confidence interval = (Sample mean) ± (Margin of error)
Confidence interval = 580 ± 30.596
Confidence interval = (549.404, 610.596)
Hope this Helps!!!
Step-by-step explanation:
x² + (y − 1)² = 9
This is a circle with center (0, 1) and radius 3. We can parameterize it using sine and cosine.
Use the starting point to determine which should be sine and which should be cosine.
Use the direction to determine the signs.
Use the number of revolutions and the interval to determine coefficient of t.
(A) Once around clockwise, starting at (3, 1). 0 ≤ t ≤ 2π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 1 revolution (2π radians). Therefore:
x = 3 cos t
y = 1 − 3 sin t
(B) Two times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 4π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 2 revolutions (4π radians). Therefore:
x = 3 cos t
y = 1 + 3 sin t
(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.
The particle starts at (0, 4), which is π/2 radians on a unit circle. It makes 1/2 revolution (π radians). Therefore:
x = -3 sin t
y = 1 + 3 cos t
I believe the correct answer from the choices listed above is option A. To synthesize information regarding when books were written, Alex should create a timeline. <span>A </span>timeline<span> is a way of displaying a list of events in chronological order. Hope this answers the question. Have a nice day.</span>
4048 is the correct answer
