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Naddik [55]
2 years ago
5

What is the diameter of a circle with the given dimensions d= ft

Mathematics
1 answer:
Aneli [31]2 years ago
6 0

Answer:

Here we are supposed to know the diameter of the circle, d, but the question seems incomplete.

I will solve this for a general diameter d.

First, we know that for a circle of radius R, the perimeter of a circle is:

P = 2*pi*R

where pi = 3.14

And we know that the diameter is twice the radius, then:

2*R = d

isolating R we get:

R = d/2

If we replace this in the perimeter equation we get:

P = 2*pi*R = 2*pi*(d/2) = pi*d

Then the perimeter of a circle with diameter d is:

P = pi*d = 3.14*d

Where to find the perimeter of a specific circle, you just need to replace the variable "d" with the actual diameter of the circle.

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Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 195,
Troyanec [42]

Answer:

c. 0.778 < p < 0.883.

Step-by-step explanation:

The formula for confidence interval for proportion =

p ± z score × √p(1 - p)/n

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z score for 95% confidence Interval = 1.96

p = 162/195

p = 0.8307692308

p ≈ approximately equal to = 0.8308

0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195

0.8308 ± 1.96 ×√0.8308 × 0.1692/195

0.8308 ± 1.96 × √0.0007208788

0.8308 ± 1.96 × 0.0268491862

0.8308 ± 0.052624405

Confidence Interval

= 0.8308 - 0.052624405

= 0.778175595

Approximately = 0.778

= 0.8308 + 0.052624405

= 0.883424405

Approximately = p

0.883

Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883

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