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IceJOKER [234]
3 years ago
14

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an A

ustralian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

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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( please help!! )Find the slope of each line
marysya [2.9K]

Answer:

-2/5

2

Step-by-step explanation:

Slope is rise over run according to my former algebra teacher, but I learned it differently (still correct tho).

The first moves 2 units down so negative 2, and moves 5 units right, so -2/5 since the rise is -2, and run is 5.

The second one moves 2 x-units for every 1 y-unit, so the slope is 2,

5 0
3 years ago
Abigail realizes that she has too much debt. What is a financially irresponsible decision for Abigail?
Elis [28]
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3 years ago
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Taya2010 [7]

To find T, you add 25 to both sides, isolating the varible. This gives you T=-19

Hope this helped!

4 0
3 years ago
There are 4 red and 6 green marbles in a jar. What is the probability of drawing two green marbles, with replacement?
quester [9]

Answer:

3/5

Step-by-step explanation:

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3 0
3 years ago
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

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We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
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