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leva [86]
4 years ago
10

A poster is 8 1/2 inches by 11 inches you enlarge the poster by increasing each dimension by a factor of 2 1/2 what is the area

of the new poster
Mathematics
2 answers:
Olenka [21]4 years ago
7 0
You have to multiply each side by 2.5 then multiply the two new sides to get the answer. So 8 1/2, which is 8.5 is going to become 21.25 and 11*2.5 is going to become 27.50. So the new dimensions are 21.25 and 27.50, you multiply both of them which would give you an area of 584.375. YOU'RE WELCOME :)
Naya [18.7K]4 years ago
7 0

Answer:

Area of the new poster = 584.375 inch²

Step-by-step explanation:

Length of old poster = 8 1/2 inches = 8.5 inches

Breadth of old poster = 11 inches

Scale factor = 2 1/2 = 2.5

Length of new poster =  8.5 x 2.5 = 21.25 inch

Breadth of new poster =  11 x 2.5 = 27.5 inch

Area of new poster = 21.25 x 27.5 = 584.375 inch²

Area of the new poster = 584.375 inch²

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Answer:

The statistic for this case would be:

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And replacing we got:

z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92

Step-by-step explanation:

For this case we have the following info:

n =700 represent the sample size

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\hat p=\frac{305}{700}= 0.436

We want to test the following hypothesis:

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The statistic for this case would be:

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And replacing we got:

z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92

And the p value would be given by:

p_v = P(z>1.922)= 0.0274

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