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3 years ago

Remember ratios must be simplified. To write your ratio you will use the colon symbol,:

Mathematics

1 answer:

Firdavs [7]3 years ago

4 0

Answer:

2:1

Step-by-step explanation:

Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.

20:10 = 2:1

The scale factor from triangle ABC to triangle DEF is 2:1.

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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

Which expression is irrational?

Mrrafil [7]

Answer:

$\sqrt{50}$

Step-by-step explanation:

An irrational number is a number that isn't a whole number (integer).

$\sqrt{50}$ = 7.07

$\sqrt{1}$ = 1

$\sqrt{25$ = 5

$\sqrt{9}$ = 3

The first one is the only one that isn't an integer. So it is the answer.

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