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2 years ago

Which equation gives the value of the circumference, C, of a circle with a diameter of 56 feet?

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

6 0

Answer:

$C=\pi (56)$

Step-by-step explanation:

Alik [6]2 years ago

5 0

Answer:

$C=\pi (56)$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

in this problem we have

$D=56\ ft$

substitute

$C=\pi (56)$ -----> equation that give the value of the circumference

$C=56 \pi\ ft$

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3 years ago

What's the greatest common factor of 8, 44, and 12

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Step-by-step explanation:

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3 years ago

Car colors preference change over the years and according to the particular model that the customer selects. In a recent year, 1

Margarita [4]

Answer:

99.05% probabilitiy that at most six cars are black.

Step-by-step explanation:

For each luxury car, there are only two possible outcomes. Either it is black, or it is not black. The probability of a luxury car being black is independent from other luxury cars. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.1, n = 25$

If 25 cars of that year and type are randomly selected, find the probabilitiy that at most six cars are black.

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718$

$P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994$

$P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659$

$P(X = 3) = C_{25,3}.(0.1)^{3}.(0.9)^{22} = 0.2265$

$P(X = 4) = C_{25,4}.(0.1)^{4}.(0.9)^{21} = 0.1384$

$P(X = 5) = C_{25,5}.(0.1)^{5}.(0.9)^{20} = 0.0646$

$P(X = 6) = C_{25,6}.(0.1)^{6}.(0.9)^{19} = 0.0239$

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0718 + 0.1994 + 0.2659 + 0.2265 + 0.1384 + 0.0646 + 0.0239 = 0.9905$

99.05% probabilitiy that at most six cars are black.

7 0

3 years ago

Draw a number line and mark all described points 0

Arte-miy333 [17]

Do you have a picture of the question or something?

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3 years ago

Read 2 more answers

if the ball dropped from 12 feet and bounces up 2/3 as high on each successive bounce,what is the height of the fourth bounce?

White raven [17]

Answer:

2 10/27 ft . . . . or . . . . 2 feet 4 4/9 inches

Step-by-step explanation:

The height on the first bounce is ...

... (12 ft) × 2/3 = 8 ft

The height on the second bounce is ...

... (8 ft) × 2/3 = 16/3 ft

The height on the third bounce is ...

... (16/3 ft) × 2/3 = 32/9 ft

The height on the fourth bounce is ...

... (32/9 ft) × 2/3 = 64/27 ft = 2 10/27 ft

_____

Conversion of fractional feet to inches

10/27 ft = (12 in/ft) × (10/27 ft) = 40/9 in = 4 4/9 in

_____

Explicit formula

We can see that for each bounce (including the first), we multiply the initial height by 2/3. After n bounces, we have multiplied the initial height by (2/3)^n. Thus the height after n bounces will be ...

... h(n) = (12 ft)×(2/3)^n

For the 4th bounce, this is ...

... h(4) = (12 ft)×(2/3)^4 = (12 ft)×(16/81) = 64/27 ft

3 0

3 years ago