Answer:
B (0.312, 0.364)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
For this problem, we have that:
1289 randomly selected American adults responded to this question. This means that 
.
Of the respondents, 436 replied that America is doing about the right amount. This means that 
.
Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party.
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval is:
B (0.312, 0.364)
In Step 2, Lara did not ensure that the second diamter was perpendicualr to the first diameter she drew.
The correct steps should be:
Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.
Step 2: Draw a second diameter <em>perpendicular to the first diameter</em>. Label the points at which the second diameter touches the circle as C and D.
Step 3: Join the end points of the two diameters to form a square.
Answer:
the answer is 37/7
Step-by-step explanation:
u multiply the 5 and the seven and add the 2 and u get 37/7 so u keep the denominator the same
Answer:
Hello! answer: 9
Step-by-step explanation:
Assuming this is a complementary angle (meaning it will add up to 90 degrees)
5 × 9 = 45 45 + 15 = 60 60 + 30 = 90 therefore x = 9 Hope that helps!
Example of use of terms:
Statement: If it is far, we take a bus.
Inverse: If it is not far, we do not take a bus.
Converse: If we take a bus, it is far.
Contrapositive: If we do not take a bus, it is not far.
We also know that
1. The inverse of the inverse is the statement itself, and similarly for converse and contrapositive.
2. Only the contrapositive is logically equivalent to the original statement.
This means that the converse and inverse are logically different from the original statement.
Now back to the given statement.
To find the original statement, we find the contrapositive of the contrapositive.
We then find the converse from the original statement, as in the example above.
Original statement
(note that in English, if it is not worth X dollars, means if it is not worth AT LEAST X dollars")
contrapositive of
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"If an item is not worth five dimes, then it is not worth two quarters.”
is the negation of the converse, which become
"If an item is worth two quarters, then it is worth (at least) five dimes."
The converse of the previous statement is therefore
"If an item is worth (at least) five dimes then it is worth two quarters"
In this particular case, we can also take advantage of the fact that the contrapositive is the negation of the converse. So all we have to do is the provide the negation of each component of the contrapositive to get the converse:
"If an item is worth (at least) five dimes, then it is worth two quarters".
as before.
Note that the converse does NOT logically mean the same as the original statement.
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