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Pie
3 years ago
11

Please answer this correctly

Mathematics
2 answers:
garri49 [273]3 years ago
8 0

Answer:

Total area = 224 yd²

Step-by-step explanation:

Make a sketch. See attachment

Total area =

area 1 + area 2 + area 3 + area 4 + area 5 + area 6 + area 7

15 + 84 + 42 + 32 + 7 + 28 + 16

Total area = 224 yd²

NikAS [45]3 years ago
7 0

Answer:

Area of the figure = 224 yd²

Step-by-step explanation:

<em><u>Area of Rectangle = Length × Width</u></em>

<em><u>Area of Δ = 1/2 (base × height)</u></em>

<em>Dividing the whole figure</em>

<u>Triangle 1:</u>

1/2(12 × 14) = 168/2 = 84 yd²

<u>Rectangle 1:</u>

3 × 11 = 33 yd²

<u>Rectangle 2:</u>

7 × 9 = 63 yd²

<u>Rectangle 3:</u>

4 × 11 = 44 yd²

<em>Adding all</em>

Area of the figure = 84 +33 +63 + 44

Area of the figure = 224 yd²

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Answer:

z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028

z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441

An we can use the normal standard table and the following difference and we got this result:

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Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

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\sigma= 5 represent the deviation

We have a sample size of n = 54 and we want to find this probability:

P(33.3 < \bar X< 34.3)

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

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And we can use the z score formula given by:

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And replacing we got:

z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028

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An we can use the normal standard table and the following difference and we got this result:

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