Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figuri
ne. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.
This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Which solution is valid within the context of the situation?
A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)
This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Which solution is valid within the context of the situation?
A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)
1 answer:
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Answer: 95 mm Hg
Step-by-step explanation:
Given: The equation represents the linear model for the data is
Since, age is an independent quantity whereas blood pressure is dependent quantity.
Thus, y represents the the systolic blood pressure of people of several different ages (x).
Now, the age of new born baby =0
Substitute x=0 in the equation , we get y=95
Hence, The systolic blood pressure of new born baby = 95 mm hg
Answer:
A sample of 997 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is of:
A previous study indicates that the proportion of left-handed golfers is 8%.
This means that
98% confidence level
So , z is the value of Z that has a p-value of
, so
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How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So
Rounding up:
A sample of 997 is needed.