6. If ABCD is a square and AD = 11. find each missing value.
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:
0.0259,0.0406
Step-by-step explanation:
Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.
a) p is the proportion of national adults who are baseball fans.
b) For 2012 poll, p=0.48
Std error =
Margin of error at 90% = 1.645 * std error
= 0.0259
c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie
d) Margin of error would be larger for 99% because critical value 2.58 >1.645
e) Margin of error 99% =