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3 years ago

S the interquartile range of this data?

1 answer:

3 0

We have been given the 5-number summary of a box plot that represents Coins in Collection. The five-number summary from left to right is 7, 16, 30, 36, 38.

We are asked to find the inter-quartile range of the given data.

We know that interquartile range is difference of upper quartile and lower quartile.

We know that the 5-point summary represents the lower data point, lower quartile, median, upper quartile and upper data point respectively.

We can see from our given 5 point-summary that lower quartile is 16 and upper quartile is 36.

$\text{Interquartile range}=\text{Upper quartile}-\text{Lower quartile}$

$\text{Interquartile range}=36-16$

$\text{Interquartile range}=20$

Therefore, the interquartile range of the given data is 20 and last option is the correct choice.

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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 $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

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

What does this equal =

lana [24]

The equation is y=mx+c, in which m is the slope(1/2), c is the y intercept (5), and x is the x intercept (0)
thus, the equation is:
y=(1/2)(0)+5
y=5

hope it helps!

7 0

4 years ago

Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (f o g)(-5)

vladimir2022 [97]

It’s probably-67 on the top of my head

6 0

3 years ago

Emily sold 108 candles for a fundraiser. If she sold 60% of the total number of candles sold for the fundraiser, what is the tot

sergejj [24]

Answer:

Either 43 or 44, depemding on if you round up.

6 0