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4 years ago

Determine the domain of the function. f(x) = 13/3-x

1 answer:

6 0

Hi..... the domain(D) will be:

$\mathtt {f(x)=\dfrac{13}{3-x}\rightarrow \boxed{D=\{x\in R\,|\,x\neq 3\}}}$

Thanks... :)

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What does 2+2+2+2+2+2+2+2+2+2+2+2+2-26=?

Dmitry [639]

Answer: The answer is 0.

2+2+2+2+2+2+2+2+2+2+2+2+2= 26

26 - 26= 0

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3 years ago

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Does 1.5cm, 3cm, 1.5cm form a trangle.

Vesnalui [34]

Answer:

yes because at least 2 measurements are equal

Step-by-step explanation:

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3 years ago

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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

Probability

vampirchik [111]

Answer:

50/50

Step-by-step explanation:

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3 years ago

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Find the area of the parallelogram determined by the vectors i +j+k and –2i + 3j + K.

Wewaii [24]

The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.

(i + j + k) × (-2i + 3j + k)

= -2 (i × i) - 2 (j × i) - 2 (k × i)

… + 3 (i × j) + 3 (j × j) + 3 (k × j)

… + (i × k) + (j × k) + (k × k)

= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)

= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)

= 5 (i × j) - 3 (k × i) - 2 (j × k)

= 5 k - 3 j - 2 i

Then the area of the parallelogram is

||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38

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2 years ago