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IrinaK [193]
3 years ago
10

Help!!!!! please!!!!!

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

Explanation:

Length(l), breadth and height of cube are of same measure.

Volume of cube of length

l

is

v

=

l

3

;

v

=

216

∴

l

3

=

216

or

l

=

3

√

216

=

6

cm , therefore,

Length of three dimensions of the cube is

6

cm. [Ans]

Step-by-step explanation:

Explanation:

Length(l), breadth and height of cube are of same measure.

Volume of cube of length

l

is

v

=

l

3

;

v

=

216

∴

l

3

=

216

or

l

=

3

√

216

=

6

cm , therefore,

Length of three dimensions of the cube is

6

cm. [Ans]

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Nadusha1986 [10]

Answer:

(a) The sample mean startup cost is 107.3 thousand dollars.

    The sample mean startup cost is 107.3 thousand dollars.

(b) The 90% confidence interval for the population average startup costs  for candy store franchises is ($89.4, $125.2) thousand.

Step-by-step explanation:

The questions asked related to the data are:

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to one decimal place.)

x =  thousand dollars

s =  thousand dollars

(b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.)

lower limit      thousand dollars

upper limit      thousand dollars

Solution:

The data provided is:

X = {100, 170, 133, 93, 75, 94, 116, 100, 85}

(a)

Compute the sample mean as follows:

\bar x=\frac{1}{n}\sum X_{i}

  =\frac{1}{9}\times (100+170+133+93+75+94+116+100+85)

  =\frac{966}{9}

  =107.3

The sample mean startup cost is 107.3 thousand dollars.

Compute the sample standard deviation as follows:

s=\sqrt{\frac{1}{n-1}\sum (X_{i}-\bar x)^{2}}

  =\sqrt{\frac{1}{9-1}\times [(100-107.33)^{2}+(170-107.33)^{2}+...+(85-107.33)^{2}]}

  = \sqrt{ \frac{ 6696 }{ 9 - 1} } \\= 28.931\\\approx28.9

The sample standard deviation of startup cost is 28.9 thousand dollars.

(b)

As the population standard deviation is not known we will use a <em>t</em>-interval.

The critical value of <em>t</em> for 90% confidence level and (n - 1) = 8 degrees of freedom is:

t_{\alpha/2, (n-1)}=t_{0.10/2, (9-1)}=t_{0.05, 8}=1.86

*Use a <em>t</em>-table for the value.

Compute the 90% confidence interval for population mean as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =107.3\pm 1.86\times \frac{28.9}{\sqrt{9}}

     =107.3\pm 17.918\\=(89.382, 125.218)\\\approx (89.4, 125.2)

Thus, the 90% confidence interval for the population average startup costs  for candy store franchises is ($89.4, $125.2) thousand.

7 0
4 years ago
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