The printer can print 168 papers in 21 minutes. Enter the number of paper the printer can print in 10 minutes.
1 answer:
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Answer:
33.15 square inches.
Step-by-step explanation:
Given:
Length of the minute hand is 11.25' from the center of the clock to the tip of the hand.
<u>Question asked:</u>
What is the area swept out by the minute hand as it moves 5 minutes of time?
Solution:
<u><em>As length of the minute hand is '11.25' from the center of the clock to the tip of the hand means radius of the circle, r = 11.25 inches.</em></u>
First of all we will find area of circle swept by the minutes hand,
When minute hand moves 60 minutes, it makes one circle of area 397.77 square inches.
By using<u> unitary method</u>, we will calculate area swept by minute hand in 5 minutes:-
In 60 minutes, area swept = 397.77 square inches
In 1 minute, area swept =
In 5 minutes, area swept =
Thus, the area swept out by the minute hand is 33.15 square inches when it moves 5 minutes.
Answer:
The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].
Step-by-step explanation:
The sample drawn is of size, <em>n</em> = 5046.
As the sample size is large, i.e. <em>n</em> > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean and standard deviation
.
The mean is:
The confidence level (CL) = 98%
The confidence interval for single proportion is:
Here = critical value and <em>α </em>= significance level.
Compute the value of <em>α</em> as follows:
For <em>α</em> = 0.02 the critical value can be computed from the <em>z</em> table.
Then the value of is ± 2.33.
The 98% confidence interval for population proportion is:
Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.