A real number is positive, negative, or zero. True or false
2 answers:
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Answer:
a) 0.6032
b)
Lower limit: 0.48
Upper limit: 0.72
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 zscore that has a pvalue of .
Question a:
In a random sample of 63 professional actors, it was found that 38 were extroverts.
We use this to find the sample proportion, which is the point estimate for p. So
Question b:
Sample of 63 means that
95% 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:
Rounding to two decimal places:
Lower limit: 0.48
Upper limit: 0.72
Answer:
Step-by-step explanation:
Use Newton's Law of Cooling here:
where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:
which can simplify a bit to
and
Take the natural log of both sides:
Taking the natural log allows us to pull that exponent down out front:
and now we can divide both sides by ln(38) to get
-35k = .794585 so
k = -.023
Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:
and
and
and
T(t) = 35 F, basically the temp of the fridge, which is not surprising!