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Greeley [361]
3 years ago
6

if a commuter train averages 62 miles per hour between stops that are 18 miles apart , about how many minutes does it take the t

rain to travel the distance between the two stops?
Mathematics
1 answer:
mestny [16]3 years ago
8 0
It takes about 3 minutes because when you round 3.4 repeating it's closer to three minutes instead of four minutes
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How can you be sure that 0.47 ÷ 1,000 = 0.00047?
Alexandra [31]

I believe that it is A. It is the only one that makes sense. If you look at numbers 0.47 and 0.00047, the decimal point in 0.00047 is three more spaces to the left than 0.47. Hope this helps!

5 0
3 years ago
A student was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sam
Scorpion4ik [409]

Answer:

After use the formula we got the following result for the 90% confidence interval (0.13 <p<0.34)

And the conclusion for this case would be:

e. With 90% confidence, the proportion of all students who take notes is between 0.13 and 0.34.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Description in words of the parameter p

p represent the real population proportion of students who take notes

\hat p represent the estimated proportion of students who take notes

n is the sample size required  

z_{\alpha/2} represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Numerical estimate for p

In order to estimate a proportion we use this formula:

\hat p =\frac{X}{n} where X represent the number of people with a characteristic and n the total sample size selected.

Confidence interval

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

After use the formula we got the following result for the 90% confidence interval (0.13 <p<0.34)

And the conclusion for this case would be:

e. With 90% confidence, the proportion of all students who take notes is between 0.13 and 0.34.

6 0
2 years ago
Evaluate the expression 6x+8<br> when x=2<br> .
snow_lady [41]

Answer:

20

Step-by-step explanation:

plug in the numbers

6 times 2 + 8 = 20

5 0
3 years ago
Hey u! I need help simplify this expression
Neko [114]
6x^2
y^3
Hope this helped, correct me if I am wrong
5 0
3 years ago
Read 2 more answers
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3 years ago
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