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True [87]
3 years ago
10

The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of

the pool. Find the length and the width of the swimming pool.
Mathematics
2 answers:
Tomtit [17]3 years ago
7 0

Answer:

length = 115

width = 115 -7 = 108

Step-by-step explanation:

Formula:

Perimeter of rectangle with length 'l' and width 'b' is given by,

Perimeter = 2(l + b)

<u>To find the length and breadth</u>

Here perimeter = 446 cm

Let 'x' be the length of rectangle then width = x - 7

Perimeter = 2(l + b) =446

2(x + x - 7) = 446

2(2x  - 7) = 446

2x - 7 = 446/2 = 223

2x = 223 +7

2x = 230

x = 230/2 = 115

Therefore length = 115

Then width = 115 -7 = 108


VLD [36.1K]3 years ago
5 0

Answer:

length = 115 cm

width = 108 cm

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W)                    we know W = L-7

446 = 2(L) + 2(L-7)    

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

L= 115

Length L= 115

Width W = L - 7 = 115 - 7= 108

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A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. ​a) E
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Answer:

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b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

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If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

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Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, \alpha by 0.02 and z_{\alpha/2} by 2.33

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With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

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It means the the level of significance \alpha is:

\alpha =1-0.98=0.02

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