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kvv77 [185]
3 years ago
10

What is the diameter of a circle with circumference C= 191 ? Leave answers in exact form.

Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

Diameter=60.79

Step-by-step explanation:

Solution,\\ Circumference(C)=191\\As,\\Circumference=\pi d\\191=\pi d\\\frac{191}{\pi } =d\\d=60.79718826

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In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the
andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

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Step-by-step explanation:

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A blueprint of a house shows a dining room with
Gnom [1K]

Actual area = 42ft²

The actual area will simply be calculated as:

= 6 × 7

= 42 feet²

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2 years ago
What is the reciprocal of 3? (As a fraction)
grigory [225]

Answer:

1/3

Step-by-step explanation:

The reciprocal of a number is 1 divided by the number.

The reciprocal of 3 is 1 divided by 3, or simply 1/3.

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