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3 years ago

What is the value of the function f(x)=1/4x-3 when x = 12?

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

8 0

0 is the answer. To multiply 1/4x by 12 you just place the 12 in the numerator. 12/4 = 3. Then 3 - 3 = 0. :))

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3 years ago

A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation

melamori03 [73]

Answer:

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

The point estimate of the population mean is $\hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=64-1=63$

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".

$\bar X=1400$ represent the sample mean

$\mu$ population mean (variable of interest)

s=240 represent the sample standard deviation

n=64 represent the sample size

Solution to the problem

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

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

The point estimate of the population mean is $\hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=64-1=63$

5 0

4 years ago