Samantha is testing the probability of multiple coin flips, and she expects the probability of flipping heads three times in a r
1 answer:
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One thing to pay close attention to is that, AB is a segment whose length is 12 cm, now we're not referring to the arcAB, but to the straight-line going from A to B, the segment AB, as you can see in the picture below in green.
now, the segments OA and OB are radius of the circle and therefore twins, and since they're twin sides, they make up twin angles on the other end, the green end.
if those angles at A and B are twins, the only possible values for them is 60°, what the dickens does all that mean?
well, it means the triangle AOB is an equilateral triangle, and if AB is 12, then OA and OB are also twelve, thus we know the radius of the circle is 12.
now, that is the circumference of that circle, and since we only need to know what arcAB is, and since arcAB is 1/6 of the circle, then 1/6 of that circumference is 24π/6.
now, the segments OA and OB are radius of the circle and therefore twins, and since they're twin sides, they make up twin angles on the other end, the green end.
if those angles at A and B are twins, the only possible values for them is 60°, what the dickens does all that mean?
well, it means the triangle AOB is an equilateral triangle, and if AB is 12, then OA and OB are also twelve, thus we know the radius of the circle is 12.
now, that is the circumference of that circle, and since we only need to know what arcAB is, and since arcAB is 1/6 of the circle, then 1/6 of that circumference is 24π/6.
Answer:
Now we can calculate the p value with this probability:
If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.
Step-by-step explanation:
Information given
n=78 represent the random sample taken
X=36 represent the students with jobs
estimated proportion of students with jobs
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the proportion of students with jobs is higher than 0.35, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
Now we can calculate the p value with this probability:
If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.
Answer:
Step-by-step explanation:
Transformed of the function has been given as,
f(x) =
=
Parent function of this transformed function =
Vertical stretch = By a factor of
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) = has been vertically stretched by a factor of
2). Followed by the translations of 3 units left and 3 units up.