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ioda
3 years ago
7

Twenty percent of 150 is

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
20% of 150 is 30 

Change the percentage into a decimal by dividing it over 100:

20 / 100 = 0.2

Multiply:

0.2 × 150 = 30
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12. Using the value of 0.538 for the proportion of those surveyed who said they exercise at least 30 minutes three or more days
ICE Princess25 [194]

Answer:

ME=1.96\sqrt{\frac{0.538 (1-0.538)}{15235}}=0.00792    

The margin of error on this case is approximated \pm 0.792\% who is very clos to the +1% reported by the Gallup.

Step-by-step explanation:

Assuming this previous info : "Results are based on telephone interview conducted as part of the Gallup-Healthways Well-Being Index survey June 1–30,2013, with a random sample of 15,235 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia.

For results based on the total sample of national adults, one can say with 95% confidence that the maximum margin of sampling error is ±1 percentage point."

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".  

The population proportion have the following distribution

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

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion on this case is \hat p =0.538 and n =15235, the margin of error is given by:

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

And if we replace we got:

ME=1.96\sqrt{\frac{0.538 (1-0.538)}{15235}}=0.00792    

The margin of error on this case is approximated \pm 0.792\% who is very clos to the +1% reported by the Gallup.

5 0
2 years ago
Which equation can be solved to find x, the measure of BD in the diagram below?
andriy [413]
The rule for the angle formed outside of circle by intersection show below is given by:
Angle formed outside=1/2(difference of intercepted arcs)
∠ACE=1/2(AE-BD)
∠ACE=53°
AE=233°
BD=x
Hence the formula for obtaining BD will be:
53=1/2(233-x)
The correct answer is A
7 0
3 years ago
Read 2 more answers
Which best describes how the graph of g(x) =1/9sqrt(x) relates to the graph of the parent function, f(x) =sqrt(x) ? The graph of
lisabon 2012 [21]

Answer:

The graph g(x) is vertically shrunk by a factor of 1/9.

Step-by-step explanation:

Parent Graph: f(x) = a√(bx - c) + d

Since we are only modifying <em>a</em>, we are dealing with vertical shrink (a < 1) and stretch (a > 1). Since 1/9 < 1, we have a vertical shrink by a factor of 1/9.

8 0
3 years ago
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pochemuha

Answer:

g (x)=g(-1)

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g(x)=g(-3)

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Find |−3/5|+3/4. Write your answer as a mixed number in simplest form.
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Answer:

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Step-by-step explanation:

|-3/5|+3/4= 3/5+3/4

= 27/20

= 1 7/20

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