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lozanna [386]
2 years ago
7

The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measure

s 120 ft by 80 ft, and the expansion will increase its area by 4,400 ft2. By how many feet should the length of the parking lot be increased?
Mathematics
1 answer:
nasty-shy [4]2 years ago
4 0

Present area = 120 * 80 = 9600 ft^2 so the new area will be 9600 + 4400 = 14000

So if increase in length = x we have

(x + 120)(x + 80) = 14,000

x^2 + 200x + 9600 - 14000 = 0

x^2 + 200x - 4400 = 0

x = 20 feet answer

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Kayla’s dollhouse has 15.15 square feet downstairs and 6.45 square feet upstairs. What is the estimated total area if you round
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  • The area of Kayla's dollhouse upstairs = 15.15 square feet

  • The area of Kayla's dollhouse downstairs = 6.45 square feet

  • To find the estimated Total area of Kayla's dollhouse, we would apply the Addition Operation

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Area of the dollhouse upstairs + Area of the dollhouse downstairs

Rounding to the decimals to the nearest tenth

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  • The area of Kayla's dollhouse downstairs to the nearest tenth = 6.5 square feet

15.2 square feet + 6.5 square feet = 21.7 square feet

The estimated total area of Kayla's dollhouse is  21.7 square feet

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Answer:

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Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

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Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

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