Answer:
The description again for the problem is listed throughout the section below on explanations.
Step-by-step explanation:
A 2012 survey conducted a week since Voting day because the local paper in Columbus asked voters whatever individual they might vote for the state attorney. 37% of respondents said that they'd vote for both the dem candidate. In reality, 41 percent voted for both the Democratic nominee on Elections Day.
The 37% is supported by a survey as well as being a factual estimate. The sample proportion is denoted by "P". Therefore,
⇒ P = 0.37
The specific proportion becomes supplied as a factor of 41% = 0.41. Since the importance of proportion is real. The proportion of community is represented as p or π
Hence p = 0.41.
Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
78% of residents in Summerville own a home.
This means that
30 residents are randomly selected:
This means that
Find the probability exactly 24 residents own a home.
This is P(X = 24).
0.1732 = 17.32% probability exactly 24 residents own a home.
The theorems used are:
First blank: side-angle-side theorem
Second blank: CPCTC
Third blank: 200 feet
Fourth blank: 1,700 feet.
<h3>What is the Side-angle-side Congruence Theorem (SAS):</h3>
Wen two triangles have a pair of included congruent angles and two pairs of corresponding congruent sides, then both triangles are congruent to each other by the side-angle-side theorem.
Furthermore, if two triangles are known to be congruent to each other, the CPCTC states that "corresponding parts of corresponding triangles are congruent". This means all angles and all sides that corresponds to each other are congruent.
Therefore:
Using the <u>side-angle-side theorem</u> it can be shown that the two triangles are congruent to each other.
Then using <u>CPCTC </u>, the length of the road from the intersection to the first turn would be <u>200 feet.</u>
The total length of the tour would be = 2(200 + 300 + 350)
= 1,700 feet.
Learn more about the side-angle-side theorem on:
brainly.com/question/10617589
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A. Blue: y = -3x + 8
Black: y = 3x + 2
B. You find the ordered pair (x, y) that is a solution for both functions ( find the point where the two lines cross)
C. There’s two ways you can solve algebraically (using the equations); substitution and elimination. I don’t know which you need to use to answer but feel free to use my notes on how to do substitution for help. I don’t really have any on elimination ( it’s so easy you don’t even really need notes) or I would use them to explain.