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2 years ago

Atul, Bryony and Charlotte share an amount of money in the ratio 4:11:10

Mathematics

1 answer:

Alchen [17]2 years ago

8 0

4 + 11 + 10 = 25.

Assuming Bryony is the middle number, she gets 11/25 fraction of the money.

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Jayla buys and sells vintage clothing. She bought two blouses for $25.00 each and later sold them for $38.00 each. She bought th

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3 years ago

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

3 years ago

Choose the equation that models the following statement: The current, I amps, produced by a battery is inversely proportional to

Anika [276]

By definition we have to:
V = I * R
Where,
V: Voltage.
I: Current.
R: Resistance.
The current, I amps, produced by a battery is inversely proportional to the resistance, R ohms. Clearing I have:
I = V / R
rewriting:
I = V * (1 / R)
answer:
The equation that models the statement is:
I = V * (1 / R)

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3 years ago

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13<br> 14 - 1<br> 7 +<br> 1<br> 2 = what??

Studentka2010 [4]

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2 years ago

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1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually

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