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vovangra [49]
3 years ago
9

HELP PLZZ ASAP !! a. The value of x is 6 , what is the value of y?

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

Answer:

a). y = 4.5

b) Scale factor = \frac{3}{4}

Step-by-step explanation:

a). Since, polygon Q is the scaled copy of polygon P

    Both the figures will be similar.

    Therefore, their corresponding sides will be proportional.

    \frac{x}{y} =\frac{4}{3}

    If x = 6,

    \frac{6}{y} =\frac{4}{3}

    y = \frac{3\times 6}{4}

    y = 4.5

b). Since, polygon Q is the scaled copy of polygon P,

    Polygon Q will be the image of preimage polygon P.

    Scale factor = \frac{\text{Length of a side of the image}}{\text{Length of a side of the preimage}}

                         = \frac{3}{4}

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Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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