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Romashka-Z-Leto [24]
2 years ago
13

A large sleep study involving over 5000 American teenagers examined how many hours the participants slept on the weekend. The ni

ghtly sleep times were distinctly non-normal with a mean of 10 hours and a standard deviation of 2 hours. Suppose we take a random sample of 100 nightly sleep times from this population. We can assume that the times in the sample are independent. What is the probability that the mean of these 100 sleep times is farther than 0.4 hours away from the population mean?
a) 0455
b) .02
c) 1
d) .02275
Mathematics
2 answers:
Nutka1998 [239]2 years ago
4 0

Answer:

.5

Step-by-step explanation:

Anvisha [2.4K]2 years ago
3 0

Answer:

.05

Step-by-step explanation:

Khan

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Anna35 [415]

 

\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0


\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}




3 0
3 years ago
Evaluate 9ab, for a = 5 and b =<br> - 7
Yuri [45]

Answer:

-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

Multiply:

= -315

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7 0
2 years ago
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Cesar turned in his third research report, his teacher said that he had completed 20%of the reports for the school year, how man
AleksAgata [21]

Answer:

Cesar will be doing  15 research reports during the school year.

Step-by-step explanation:

Given:

Number of research report completed = 3

Percentage of the report completed for school year = 20%

We need to find total number of research report completed during school year.

Solution:

Let the total number of research report completed during school year be 'x'.

Now we can say that;

Number of research report completed is equal to Percentage of the report completed for school year multiplied by total number of research report completed during school year and then divided by 100.

framing in equation form we get;

3=\frac{20}{100}\times x\\\\3=0.2x

Dividing both side by 0.2 we get;

\frac{3}{0.2}=\frac{0.2x}{0.2}\\\\x=15

Hence Cesar will be doing  15 research reports during the school year.

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Answer:

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3 years ago
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