!!!HELP ME WITH THIS QUESTION PLEASE!!!
1 answer:
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Answer:
6√3 ±3 ≈ {7.392, 13.392}
Step-by-step explanation:
The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.
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<h3>length of AB</h3>Radii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.
A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...
AB = √(21² -3²) = √432 = 12√3
<h3>tangent circle radii</h3>This is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...
6√3 ±3 ≈ {7.392, 13.392}
Answer: a. N(0.92, 0.0215)
Step-by-step explanation:
For population proportion (p) and sample size n, the mean and standard deviation is given by :-
The sampling distribution model for p is given by :_
, where
We assume that the seeds are randomly selected.
Given : Information on a packet of seeds claims that the germination rate is 92%.
i.e. p= 0.92
The packet contains 160 seeds.
i.e. n= 160
Then ,
Hence, the sampling distribution model for p is: