At a cookout, Mrs. Crawford makes 8/9 pound of chicken, plus 1 pound for each guest. Is the relationship between the number of g
2 answers:
Answer:
No, it is not a proportional relation.
Step-by-step explanation:
Let x represents the number of guest and y represents the number of pounds of chicken made,
Given,
The number of pounds of chicken for each guest = 1,
So, the number of pounds for x guests = x,
Also, the number of pounds already made =
Thus, the total pounds of chicken,
Since, a relation is called proportional if the variables are directly proportional,
That is, the line obtained by the relation passes through the origin,
Since, if x = 0, y = 0,
∴ Line does not pass through the origin.
Hence, given relation is not proportional.
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For this case we have the following equation:
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is:
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is:
Answer:
Step-by-step explanation:
You can find the value of "c" that will make it a perfect square trinomial by Completing the square.
Given the following expression provided in the exercise:
You can notice that it is written in this form:
Then, you can identify that the coefficient "b" is:
Since to complete the square you must add and subtract the half of square of coefficient "b", you can conclude that:
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Answer:
a) The observed proportion of wallets that were returned
p = 0.45625
b) <em> 95% of confidence intervals for Population proportion</em>
<em> 0.40168 , 0.51082)</em>
<em>c) The lower bound of the 95% confidence interval = 0.40168</em>
<em>d) The upper bound of the 95% confidence interval = 0.51082</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
a)
Given data the researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them
Given sample size 'n' = 320
Given data 'x ' = 146
<em>Sample proportion </em>
<u><em>Step(ii)</em></u>:-
b)<em> </em><u><em>95% of confidence intervals for Population proportion</em></u>
Level of significance = 95% or 0.05%
<em>95% of confidence intervals for Population proportion are determined by</em>
<em></em><em></em>
<em></em><em></em>
<em>(0.45625 - 0.05457 , 0.45625 + 0.05457)</em>
<em>( 0.40168 , 0.51082) </em>
<em>c) The lower bound of the 95% confidence interval = 0.40168</em>
<em>d) The upper bound of the 95% confidence interval = 0.51082</em>