Answer:
The correct option is (c).
Step-by-step explanation:
The complete question is:
The data for the student enrollment at a college in Southern California is:
Traditional Accelerated Total
Math-pathway Math-pathway
Female 1244 116 1360
Male 1054 54 1108
Total 2298 170 2468
We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?
a. 1360/2468 and 116/170
b. 170/2468 and 116/1360
c. 1360/2468 and 170/2468
Solution:
If two events <em>A</em> and <em>B</em> are independent then:

In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.
Consider the following probabilities:

If the two events are independent then:
P (F|A) = P(F)
&
P (A|F) = P (A)
But what would not be a valid comparison is:
P (A) = P(F)
Thus, the correct option is (c).
<span>The answer is:
not a dilation because the points of the image are not moved toward the center of dilation proportionally</span>
<u>Given</u>:
Given that the surface area of the cone is 54 square inches.
We need to determine the surface area of the cone that is similar to the cone three times large.
<u>Surface area of the similar cone:</u>
Let us determine the surface area of the similar cone.
The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.
Thus, we have;


Thus, the surface area of the similar cone is 162 square inches.
Answer:
Option C is the answer.
Step-by-step explanation:
The possible advantage of offering rewards or incentives to increase response rates is :
A possible advantage of offering rewards or incentives to increase response rates is that respondents put more effort into completely and accurately answering the survey questions because they feel obligated.
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The disadvantage can be a biased result or outcome.
Because suppose if it is a product based survey and you are offered some reward for answering the questions, then it is possible that respondents answers are product driven, to get the reward.
ANSWER

EXPLANATION
It was given that, Joan has

and she will use

of it to make place cards.
We want to find how felt she will use for place cards.
We just have to find,



Therefore Joan will use

yards of felt for the place cards.