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Levart [38]
3 years ago
6

Which rules define the function graphed below? (15 points cuz I'm stumped)

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:  Choice A

y=2x+3; y=-1/3x+3

==================================================

Explanation:

The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that x \le 0 but I'll set that aside for the other portion).

The right portion is the line y = -1/3x + 3 and it's only graphed when x \ge 0

So we could have this piecewise function

f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}

Or we could easily swap the "or equal to" portion to move to the first part instead like this

f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}

Either way, we're involving the equations mentioned in choice A

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Step-by-step explanation:

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4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

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I hope this helps!

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