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3 years ago

PLEASE HELP ASAPPP!!

Mathematics

1 answer:

Alborosie3 years ago

8 0

Answer:

Step-by-step explanation:

im pretty sure its 34.

vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.

but in this case it'll be 34 since ur multiplying 2 with 34

2(34) = 68

i hope this helped

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3 years ago

Use the information from the polling agency to determine the sample size needed to construct a 95% confidence interval with a ma

Ber [7]

Answer:

the sample size n= 771

sample proportion is p = 1/2

Step-by-step explanation:

Step1:-

marginal error formula is $\frac{2S.D}{\sqrt{n} }$

but if 'n' is sample size then $n = \frac{1}{(margin error)^{2} }$

Given margin error is 36% = 0.036

$n= \frac{1}{(0.036)^2}$

on simplification , we get n= 777 polling agencies

Step 2:-

$Margin of error = \frac{2\sqrt{p(1-p)} }{\sqrt{n} }$

substitute values , we get

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after simplification, we get

$\sqrt{p(1-p)} = \frac{1}{2}$

squaring on both sides, we get

$p(1-p) = \frac{1}{4}$

multiply 'p' inside

$p-p^{2} =\frac{1}{4}$

cross multiplication '4' and simplify

$4p^{2} -4p +1 =0$ ........(1)

finding 'p' value

The equation (1) is of the form $(a-b)^{2} = a^{2} -2ab+b^{2}$

$(2p)^{2} -2(2p)(1)+1^{2} = (2p-1)^2$

$(2p-1)^2 =0$

$p=\frac{1}{2}$

conclusion:-

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the sample proportion is p = $\frac{1}{2}$

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3 years ago

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