A chemist is researching different sustainable fuel sources. She is currently working with benzene, which must be in liquid form
1 answer:
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Answer:
Step-by-step explanation:
Slope of line passing through and
is given by,
m =
From the graph attached,
Slope of the line passing through (-3, 0) and (0, 5) =
=
Line passing through a point (h, k) and slope 'm' will be,
y - h = m(x - k)
Since, line passing through (11, 0) is parallel to the line given in the graph,
Slope of the parallel line will be same as
Equation of a line passing through (11, 0) and slope =
y - 0 =
y =
Now satisfy this equation with the points given in the options,
Option (1)
For (1.67, -15.59),
-15.59 =
-15.59 = -15.55
False.
Therefore, given point doesn't lie on the line.
Option (2)
For (-0.33, -13.59)
-13.59 =
-13.59 = -18.88
False
Option (3)
For (0.67, -18.59),
-18.59 =
-18.59 = 17.22
False
Option (4)
For (1.67, -15.59)
-15.59 =
-15.59 = -15.55
False.
Therefore, none of the points given in the options are lying on the line.
Answer:
The 99% confidence interval estimate of the percentage of girls born is (86.04%, 93.96%). Considering the actual percentage of girls born is close to 50%, the percentage increased considerably with this method, which means that it appears effective.
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 .
In the study 380 babies were born, and 342 of them were girls.
This means that
99% confidence level
So , z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
As percentages:
0.8604*100% = 86.04%.
0.9396*100% = 93.96%.
The 99% confidence interval estimate of the percentage of girls born is (86.04%, 93.96%). Considering the actual percentage of girls born is close to 50%, the percentage increased considerably with this method, which means that it appears effective.
Ok, great to have you! I will finally answer your question.
This seems to be a system of equations. I solve most of mine on Desmos.
Let us write two equations to model this:
We get the graph. Note the intersection at (26,33).
That means that route X is 26 miles long,and route Y is 33 miles long!.
Hope this helps.
This seems to be a system of equations. I solve most of mine on Desmos.
Let us write two equations to model this:
We get the graph. Note the intersection at (26,33).
That means that route X is 26 miles long,and route Y is 33 miles long!.
Hope this helps.