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3 years ago

A splice uses 24 centimetres of rope when two ropes are tied together. What basic fraction is this a 300 centimetre spliced rope

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

so 24cm out of 300 cm is spliced

24/300 is the fraction

we can simplify this by dividing top and bottom by 3 to get

8/100

we can divide top and bottom by 4 to get

2/25 is the most simplified fraction

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Alex777 [14]

Complete question :

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.

Construct a confidence interval for the mean jump height of gray kangaroos.

Answer:

(271, 301)

Step-by-step explanation:

Given that:

Mean (x¯) = 286

Margin of Error = 15 inches

The confidence interval :

(Mean - Margin of Error), (mean + margin of error)

(286 - 15), (286 + 15)

(271, 301)

Hence confidence interval equals : (271, 301)

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3 years ago

From the records of a health-insurance companies in Pennsylvania, it is known that 58% of the accounts include dental coverage.

kobusy [5.1K]

Answer: 0.0221

Step-by-step explanation:

We know that the formula to find the standard deviation of the sample proportion is :

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}$

, where p = proportion of success.

n= sample size.

As per given , we have

p=0.58

n= 500

Then, the standard deviation of the sample proportion in this situation would be :

$\sigma_p=\sqrt{\dfrac{0.58(1-0.58)}{500}}\\\\=\sqrt{\dfrac{0.2436}{500}}\\\\=\sqrt{0.0004872}\\\\\approx0.0221$

Hence, the standard deviation of the sample proportion in this situation is 0.0221 .

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