Using the margin of error for the z-distribution, the sample sizes are given as follows:
a) 822.
b) 1068.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
The margin of error is given by:
In which:
is the sample proportion.
We have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
Item a:
The estimate is of 
, hence we solve for n when M = 0.03.
n = 821.2
A sample of 822 is needed.
Item b:
No prior estimate, hence 
.
n = 1067.11
A sample of 1068 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
C
Step-by-step explanation:
Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is
= 
( note that AC = 3 + 6 = 9 ), substitute values
= 
( cross- multiply )
3BC = 40.5 ( divide both sides by 3 )
BC = 13,5 cm → C
Answer:
161.91
Step-by-step explanation:
First find the side length or YT by using the pythagorean theorem.
c= 129.2^2 = 16692.64
b= 68^2=4624
c-b = 12068.64
The square root of 12068.64 is approximately 109.86.
Using that length use the pythagorean theorem again and so:
a = 109.86^2 = 12068.64
c = 57^2 = 3249
a-c = 8819.64
The square root of 8819.64 is approximately 93.91.
So, 68 + 93.91 = 161.91
Given:
6% of the random sample were not edible
2300 ears of corn were picked
Find number of those ears of corn that were not edible.
2,300 * 6% = 138
138 ears of corn were not edible.
