Using the z-distribution, it is found that a sample size of 3,385 is required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
The margin of error is:
In which:
is the sample proportion.
In this problem, we have a 98% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 2.327.
We have no prior estimate, hence 
is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:
n = 3,385.
A sample size of 3,385 is required.
More can be learned about the z-distribution at brainly.com/question/25890103
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Remember that a conditional statement (
p→q) is an if-then in which the first part,
p, is the hypothesis and the second part,
q, is the conclusion.
1. Here the set
m<span>
∠A=40° is a subset of the set
Acute Angles, so </span>
m∠A=40° is the hypothesis and
Acute Angles is the conclusion.
In other words:
m∠A=40°→∠A is an Acute Angle
if m∠A=40°,
then ∠A is an Acute Angle
We can conclude that the conditional statement that describes the Venn diagram is:
if m∠A=40°, then ∠A is an Acute Angle2. Just like before, the set
is a subset of the set
; therefore,
is the hypothesis and
is the conclusion.
In other words:
→
if ,
then We can conclude that the conditional statement that describes the Venn diagram is:
if ,
then
Answer:
a total of 4,500
Step-by-step explanation:
Answer:
36 girls are in the choir
Step-by-step explanation:
Answer:
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Step-by-step explanation:
A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
