Answer: a) 683 b) 1067
Step-by-step explanation:
The confidence interval for population proportion is given by :-
a) Given : Significance level :
Critical value :
Margin of error :
Formula to calculate the sample size needed for interval estimate of population proportion :-
Hence, the required sample size would be 683 .
b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-
Hence, the required sample size would be 1067 .
Marcus needs to bike at least 11 miles each day.
Step-by-step explanation:
Given,
Distance to cover = 80 miles at least
Distance already biked = 25 miles
Number of days left = 5
Let,
x be the distance to cover in 5 days.
According to given statement;
Number of days left * Distance to cover + distance already bike ≥ Total distance to travel
Dividing both sides by 5
Marcus needs to bike at least 11 miles each day.
Keywords: inequality, division
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Answer:
Step-by-step explanation:
The amplitude is 6, so A=6.
Also, the midline is y=-3, so C=-3.
The period is 10, so 2pi/k = 10 -> k=5.
Now we need to determine if this is a sine graph or a cosine graph. As the y-intercept is not the value of C, we can determine that this is a cosine graph, and thus y=6cos(5x)-3.
Height of the triangle with AB as base = 2 – (–3) => 5
<span>Area = (1/2) * base * height => (1/2) * 8 * 5 ==> 20 sq. units. </span>