BRAINLIEST!! 8. Lines s, t, and u are perpendicular bisectors of the sides of FGH and meet ...

Mathematics

1 answer:

dlinn [17]2 years ago

4 0

Answer:

(x, y, z) = (4, 6, 7)

Step-by-step explanation:

The problem is inconsistent and cannot be solved.

The only answer that makes any sense is the first one. Point J is the circumcenter, so the radii are equal, meaning 2x+2=2y-2 or y = x+2. Only the first answer matches.

The drawing shows FI=10, which is the only way z = 7 makes sense, but the wording says JF=10, which agrees with (x, y) = (4, 6). Both those segments cannot be 10.

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lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$