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.
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Answer:
n=2
Step-by-step explanation:
1 (n+4) = 6
1 (2+4) = 6
The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2
<h3>Solving inequalities </h3>
From the question, we are to determine the equivalent form of the compound inequality
We will solve the given compound inequality
The given inequality is
−22 > −5x − 7 ≥ −33
We can write that
−22 > −5x − 7 AND −5x − 7 ≥ −33
Solving −22 > −5x − 7
5x > -7 +22
5x > 15
x > 15/5
x > 3
Also,
Solve −5x − 7 ≥ −33
−5x ≥ −33 +7
-5x ≥ -26
x ≤ -26/-5
x ≤ 5.2
Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2
Learn more on Inequalities here: brainly.com/question/20356565
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Answer:
∠1=∠3=134° ∠2=∠4=180-∠3=180-134=46°
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
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