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3 years ago

Can someone help me with this. Will Mark brainliest. Need answer and explanations/work. Thank you.

Mathematics

1 answer:

hoa [83]3 years ago

3 0

Answer:

cosine of angle a = 8/17

Step-by-step explanation:

Hello there!

Remember these are the trigonometric ratios

SOC CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

And we are asked to find the Cosine of angle A

Remember cosine is adjacent over hypotenuse

Hypotenuse - The longest side

Adjacent - the side that's not the hypotenuse nor the opposite

The adjacent side length of angle A is equal to 8 and the hypotenuse is equal to 17

so the cosine of angle a = 8/17

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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)

6 0

3 years ago

Rewrite 5√4 * √2 as a single radical.

melisa1 [442]

Answer:

the 2nd

Step-by-step explanation:

$\sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} }$

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3 years ago

You need four pieces of string that are 2.25 feet long to make bracelet. you have 20 feet of string.

-Dominant- [34]

In the way you asked the question, the answer is already there but I am going to assume u are asking how many bracelets you can make which would then put the answer at almost 9 bracelets.

8 0

4 years ago

50+x(greater than or equal to)300

nikdorinn [45]

Answer:

x ≥ 250

Step-by-step explanation:

Note that "greater than or equal to" looks like ≥

50 + x ≥ 300

Isolate the variable. What you do to one side, you do to the other. Subtract 50 from both sides.

x + 50 (-50) ≥ 300 (-50)

x ≥ 300 - 50

x ≥ 250

x ≥ 250 is your answer.

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slamgirl [31]

Answer:

Step-by-step explanation:

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