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sveticcg [70]
2 years ago
13

The area of a rectangle is 1,036 cm and its length is 74 cm.

Mathematics
1 answer:
Nikitich [7]2 years ago
8 0

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

  • Area of a rectangle = 1036 cm²
  • Length = 74 cm

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

1036 = 74 \times Breadth\\1036  \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}

\rule{150pt}{2pt}

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Answer:

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2 years ago
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A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98%
Luden [163]

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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For this problem, we have that:

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So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so z = 2.327 is the critical value.

b)

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So, applying to this question:

M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065

The margin of error is of 0.065.

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\pi - M = 0.3733 - 0.065 = 0.3083

\pi + M = 0.3733 + 0.065 = 0.4383

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

3 0
3 years ago
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A company has an opportunity to bid on three contracts. Determine which would be the best investment given the information in th
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