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arlik [135]
3 years ago
12

I report if u guess. A 98% confidence interval for a proportion is found to be (0.32, 0.38). What is the sample proportion?

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Sample proportional is right at the centre of the interval

p = (0.32+0 38)/2

0.7/2

0.35

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P(A) = .6, P(B) = .3, P(Β | A) = .5
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Answer:

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Step-by-step explanation:

P(B|A)=\frac{A ~and~B}{P(A)} \\0.5=\frac{P(A and B)}{0.6} \\P(A~and~B)=0.5 \times 0.6=0.30

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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

4 0
3 years ago
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