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solong [7]
2 years ago
12

Normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the 68-95-99.7 rule, what percentage of students

will complete the exam in under an hour?
Mathematics
1 answer:
lys-0071 [83]2 years ago
4 0
Note that 60=70-10\times1, i.e. a student that completes the exam in one hour falls exactly one standard deviation (in the negative direction) from the mean.

Now, you're looking for the proportion of students that fall below this, i.e. \mathbb P(Z. The empirical rule states that approximately 68% of a normal distribution falls within one standard deviation of the mean. That is,

\mathbb P(|Z|

This means that the proportion of students that fall outside this range is

\mathbb P(|Z|>1)=\mathbb P(Z1)=1-\mathbb P(|Z|

Because the distribution is symmetric, it follows that

\mathbb P(Z1)=\dfrac{0.32}2=0.16

This means the percentage of students that complete the exam in under an hour is 16%.
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2 years ago
The domain of f(x) is the set of all real values except 7 , and the domain of g(x) is the set of all real values except -3. Witc
Anna007 [38]
Answer: <span><span>the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.</span>

Explanation:

Taking (g•f)(x) as (g o f) (x), this is g (x) composed with f(x) you have this analysis.

(g o f) (x) is g [ f(x) ], which means that you first apply the function f and then apply the function g to the output of f(x).

The domain of g [ f(x) ] has to exclude 7, because it is not included in the domain of f(x).

Also the domain thas to exclude those values of x for which f(x) is - 3, because the domain of g(x) is the set of all real values except - 3.

So, the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.


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6 0
3 years ago
Read 2 more answers
Find the 7th term in the sequence using the rule: avn=n^2-5<br> A) 44<br> B) 9<br> C) 27<br> D) 4
AURORKA [14]

Answer:

A) 44

Step-by-step explanation:

an=n^2-5

n is the term number

a7 = 7^2 -5

a7 = 49 -5

a7 = 44

8 0
3 years ago
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