Mathematics, 19.07.2019 16:00 vchery21

Aresearcher wishes to estimate the percentage of adults who support abolishing the penny. what size sample should be obtained if he wishes the estimate to be within 44 percentage points with 9999% confidence if (a) he uses a previous estimate of 2222%? (b) he does not use any prior estimates?

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Answer from: aysenazz

1. If he uses a previous estimate of 22%

The problem states within 2 percentage points so the error is 0.02. The z score for this is 2.575.

The solution would be: 0.22(1-0.22) (2.575/0.02)^2 = 0.1716 (16576.5625) = 2844.538125; therefore we need to round up and the sample size would be 2845.

2. If he does not use any prior estimates.

The sample size required to obtain 1 – α * 100% confidence interval for p with a margin of error E, without a previous estimate of p, is given by: n = 0.25 (z α/2 divided by E) ^2

Therefore, n = 0.25 (2.575/0.02)^2

= 0.25 (16576.5625)

=4144.14; but we need to round up. So the sample size is 4145.

Answer from: Quest

definition: a circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to any point on the circle is a radius of the circle.

step-by-step explanation:

i googled it and this is what i got i don't know how it is. sorry.

The set of all points in a plane that are equidistant from two points is a(n): a. line b. point

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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