A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax. It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education. Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase. The sample obtained is ____(A) all people who will vote on the sales tax increase on the data of the vote.
(B) the 1474 viewers were opposed to the increase.
(C) the 2633 viewers who phoned in.
(D) all regular viewers of the television station who own a phone and have participated in similar phone surveys in the past.
Answers
Answer: (C) the 2633 viewers who phoned in.
Step-by-step explanation:
In statistics , a sample is a countable subset of a large population that represents the entire population.
Given : A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax.
It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education.
Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase.
i.e. 1474 out of 2633 viewers opposed to the increase.
Clearly , 2633 viewers are representing the entire population of viewers.
Hence, the sample obtained is the 2633 viewers who phoned in.
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log4x=2
Answers
log₄(x) = 2 ⇒ 4² = x = 16
Final answer: 16
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1.42 is the approximate value of the ratio .
What is the ratio?
The ratio is the number of times one value contains or is contained within the other in a quantitative relationship between two numbers.
What is the required answer?
The ratio of 153:108 is given.
Other forms of the ratio are
(rounded to the hundredth place.
Learn more about ratios in- brainly.com/question/13419413?referrer=searchResults
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Answer:
153:108
1.42
1
Express the given biconditional as the conjunction of two conditionals.
A.
If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.
B.
If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon.
C.
If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.
D.
If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon
Answers
Answer:
D. If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon
Step-by-step explanation:
Given statements;
A polygon is a pentagon if and only if it has five sides.
- From the statement we see that a pentagon has 5 sides.
- A body of this structure with 5 sides can be classified as a polygon.
Therefore, this bi-conditional statement is premised on two "if"s,
If it is a pentagon then we are dealing with a body with 5 sides.
And if such body has five sides, it is a polygon called pentagon
The correct option is D
Choice A, B and C are logically flawed.
A. If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.
The emboldened part we do not know.
B. If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon
The emboldened part is flawed.
C. If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.
We do not know if all pentagons have 5 sides.
Final answer:
The conjunction of two conditional statement for the biconditional 'A polygon is a pentagon if and only if it has five sides' is 'If it is a pentagon, then it has five sides' and 'If a polygon has five sides, then it is a pentagon'.
Explanation:
The given biconditional statement 'A polygon is a pentagon if and only if it has five sides' can be split into two conditional statements as follows: 'If it is a pentagon, then it has five sides' and 'If a polygon has five sides, then it is a pentagon'.
These two separate conditional statements show both possible directions of the biconditional statement. Option D correctly represents these two conditions as the conjunction of two conditional statements.
Learn more about Biconditional Statements here:
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Answers
Answer:
22.2653 or 22.27
Step-by-step explanation:
hope this helps
Answer: 22.265
Step-by-step explanation: 4.201x5.3 = 22.265
Answers
Answer:sin75=√(2+√3)/2
Step-by-step explanation:
Cosx=1-2sin^2(x/2) let x=150
Cos150=1-2sin^2(150/2) cos150=-√3/2
-(√3)/2=1-2sin^2(75)
2sin^2(75)=1+(√3)/2
2sin^2(75)=(2+√3)/2
Cross multiply
2x2sin^2(75)=2+√3
4sin^2(75)=2+√3
sin^2(75)=(2+√3)/4
Take square root of both sides
sin75=√(2+√3)/√4
sin75=√(2+√3)/2