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Darina [25.2K]
3 years ago
8

I need help on this question

Mathematics
2 answers:
kompoz [17]3 years ago
5 0

Answer: A

Step-by-step explanation:

topjm [15]3 years ago
4 0

Answer:

C

Step-by-step explanation:

so you would want to get y on the same side for both systems.

for x + y = 3, you subtract x from both sides and get y = -x +3.

then you do the other one. 5x + 5y = 15. subtract 5 x from both sides.

5y= -5x + 15. then divide both sides by 5. y = -x +3. this means these two systems are referring to the same line. in this case, there are infinitely many solutions. so, answer c.

for no solutions, you would have parallel lines (lines with the same slope)

and for one solution, you would have two lines that intersected at one point

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The 95% confidence interval for population proportion p can be computed as

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The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }

0.8-1.96\sqrt{\frac{0.16}{550} }

0.8-1.96\sqrt{0.00029 }

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0.8-0.03343

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Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

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