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4 years ago

Can someone help? it’s algebra 2, and due tonight

Mathematics

1 answer:

Kryger [21]4 years ago

3 0

Answer:

B 71/8

Step-by-step explanation:

2x² - 5x = -12

2x² - 5x + 12 = 0 (EQ 1)

expand 2(x - p)² + q = 0 ,

since (x - p)² = x² - 2xp + pq,

2x² - 4xp +2p² + q = 0 (EQ 2)

compare x⁰ (just a number, without x) in EQ 1 and EQ 2.

2p² + q = 12 (EQ 3)

compare x in EQ 1 and EQ 2,

-4p = -5

p = 5/4

Substitute p=5/4 into EQ 3,

2(5/4)² + q =12

q = 12 - 2(5/4)²

q= 71/8

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3 years ago

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How many ways can 15 people be chosen from a group of 22

anzhelika [568]

Answer:

$170544\text{ ways}$

Step-by-step explanation:

If we don't care about the order (like if we pick Bob then Joe vs Joe then Bob), then a formula is $\frac{n!}k!{(n-k)!}$ where we are picking k items from a list of n items

In our case, n=22 and k=15

Therefore, there are $\frac{22!}{15!(22-15)!}=$

$\frac{22*21*20*19*18*17*16}{(7)!}=$

$\frac{22*21*20*19*18*17*16}{7*6*5*4*3*2*1}=$

$\frac{2*11*7*3*5*4*19*6*3*17*16}{7*6*5*4*3*2*1}=$

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3 years ago

Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the nationa

g100num [7]

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

$(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })$

we know that

Margin of error for 95% confidence level is determined by

$M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }$

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

$(p^{-} - M.E, p^{-} + M.E)$

Given Margin of error

M.E = 0.03

Now 95% of confidence interval for the proportion

$(0.444 - 0.03, 0.444+ 0.03)$

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

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3 years ago