All of the following are epuivalent forms 9/11 except
1 answer:
Answer: Except (4) but see detail below
Precisely speaking,
Looking over the choices, only 72/88 = 9/11 is precisely "equivalent" so all of (1), (2), and (4) would be EXCEPT.
But because K12 teachers' language may sometimes be sloppy, "equivalent" may also mean "approximate." If that is the case (I let you make the call if the premise is true): the following are definitely not 9/11:
1.22 (is greater than 1)
It could also be that the original question had the "overline" mark to mean "periodic" over the 81 parts, like this:
which then means they are equivalent, leaving truly only 1.22 is the one non-match
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Answer:
50.34% probability that the sample mean would differ from the true mean by less than 1.1 months
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
If a sample of 74 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 1.1 months
This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So
X = 120.1
By the Central Limit Theorem
has a pvalue of 0.7517
X = 117.9
has a pvalue of 0.2483
0.7517 - 0.2483 = 0.5034
50.34% probability that the sample mean would differ from the true mean by less than 1.1 months
Answer:
A.
f(x+1)=5/2f(x) with f(1)=3/2
Step-by-step explanation:
So we are looking for a recursive form of
.
This is the explicit form of a geometric sequence where and
.
The general form of an explicit equation for a geometric sequence is
.
The recursive form of that sequence is:
.
So we have r=5/2 here so the answer is A.
f(x+1)=5/2f(x) with f(1)=3/2
By the way all this says is term is equal to 5/2 times previous term.