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3 years ago

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Given a set of ,S, from 1 to 50 ,there exists a subset of numbers where the sum of any pair of numbers is not divisible by 7. Fi

nd the no of elements in the
of the set.

1 answer:

Ulleksa [173]3 years ago

8 0

There are 7 numbers between 1 and 50 that are divisible by 7 so the answer is 7
please mark as brainliest

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Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuad

laila [671]

Answer:

$17-2.262\frac{1.9}{\sqrt{10}}=15.641$

$17+2.262\frac{1.9}{\sqrt{10}}=18.359$

So on this case the 95% confidence interval would be given by (15.641;18.359)

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

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".

$\bar X=17$ represent the sample mean

$\mu$ population mean (variable of interest)

s=1.9 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

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: "=-T.INV(0.025,9)".And we see that $t_{\alpha/2}=2.262$

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

$17-2.262\frac{1.9}{\sqrt{10}}=15.641$

$17+2.262\frac{1.9}{\sqrt{10}}=18.359$

So on this case the 95% confidence interval would be given by (15.641;18.359)

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

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A. you are given that f(1)=5 therefore f(1) cannot also equal 1 unless it is a different equation.

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A rational number is a number that can be expressed as a ratio of two integers written as a fraction, In which the denominator i

Over [174]

Answer:

B. 2/3

...........................

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KATRIN_1 [288]

$10 * .8 = $8 that's it

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3 years ago

A box can had a maximum of 60 comic books.If comic books are bundled together in groups of 8, write and solve an inequality to f

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Answer: the maximum number of bundles of comic books that the box can carry is 7

Step-by-step explanation:

Let x represent the maximum number of bundles of comic books that the box can carry.

If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.

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