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PtichkaEL [24]
3 years ago
7

GOOD Connect It Now look at different ways to solve the problem. 2) Write 1,000,000,000 as a product of 10s.

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

1 x 10^9

Step-by-step explanation:

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1/5 is greater because 
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20/100

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A certain railway company claims that its trains run late 5 minutes on the average. The actual times (minutes) that 10 randomly
iragen [17]

Answer:

Option C)  We would reject the claim that the trains run late an average of 5 minutes and conclude that they run late an average of more than 5 minutes since the 99% confidence interval exceeds 5.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 5 minutes

Sample mean, \bar{x} = 9.130 minutes

Sample size, n = 10

Alpha, α = 0.01

Sample standard deviation, s = 1.4 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}

We have to construct 99% confidence interval.

99% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.01} = \pm 3.249  

9.130 \pm 3.249(\dfrac{1.4}{\sqrt{10}} ) = 9.130 \pm 1.4383 = (7.6917,10.5683)

99% Confidence interval:  (7.6917,10.5683)

Since the population mean does not lie in he calculated confidence interval, thus, we fail to accept the null hypothesis and accept the alternate hypothesis.

Option C) We would reject the claim that the trains run late an average of 5 minutes and conclude that they run late an average of more than 5 minutes since the 99% confidence interval exceeds 5.

6 0
3 years ago
Find f(-2) for f(x)=2(4)^x
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For this case we have the following exponential function:
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 Answer:
 
The value of f (-2) is:
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4 years ago
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Answer:

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