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3 years ago

CALCULATE 5/8 + 3 1/4 x -3/6 - 2 5/12

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

CALCULATE 5/8 + 3 1/4 x -3/6 - 2 5/12 = -3 5/12

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Write the following ratio using two other notations.<br> 8/9

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Step-by-step explanation:

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Bob can body paint 12 cars in 3 weeks. How many cars can Bob body paint in 8 weeks?

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we know that he can paint 12 cars in 3 weeks.

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Tori examined the pattern of exponents in the table.

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Answer:

The value of b = 1/36

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If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

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Paint manufacturer uses a machine to fill 1- gallon cans with paint- they want to estimate the mean volume of paint the machine

Triss [41]

Answer:

$n=(\frac{1.64(0.85)}{0.25})^2 =31.09$

So the answer for this case would be n=32 rounded up to the nearest integer

Step-by-step explanation:

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=0.85$ represent the sample standard deviation

n represent the sample size (variable of interest)

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

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

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =0.25 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05,0,1)", and we got $z_{\alpha/2}=1.64$ , replacing into formula (2) we got:

$n=(\frac{1.64(0.85)}{0.25})^2 =31.09$

So the answer for this case would be n=32 rounded up to the nearest integer

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3 years ago