Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of ch
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Answer:
The variable of interest is the proportion of flips that land the correct way when flipped randomly.
The necessary conditions and
are present.
The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).
Step-by-step explanation:
Variable of Interest:
Proportion of flips that land the correct way when flipped randomly.
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 zscore that has a pvalue of .
Necessary conditions:
The necessary conditions are:
You observe 2180 random, independent flips, and 325 land the correct way.
This means that
Necessary conditions
The necessary conditions and
are present.
98% confidence level
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 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).
Check the picture below.
let's recall that in a Kite, the diagonals meet at 90° angles, therefore, we know the height of each of those 4 triangles, is 2.5 and 6, now, since the pair of triangles above are 45-45-90 triangles, we can use the 45-45-90 rule, as you see there, so, if the height is 2.5, then the base is also 2.5.
so, we really have 2 pair of triangles whose base is 2.5 and height of 2.5, and another pair of triangles whose base is 2.5 and height is 6, let's add their areas.
