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2 years ago

What is the area of a circle with a radius of 12 feet?

Mathematics

2 answers:

kvasek [131]2 years ago

5 0

Answer:

144π ft² or approximately 452.16 ft²

Step-by-step explanation:

The area of a circle is $\pi r^2$ , where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.

Approximation of Pi:

$3.14 *12^2$
$3.14*144$
$452.16$
452.16 ft²

In terms of Pi:

$\pi *12^2$
$\pi *144$
$144\pi$
144π ft²

Margarita [4]2 years ago

3 0

Answer:

$144 \times \pi = 452.38$

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3 years ago

The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable X is given by:

$\hat p=\frac{X}{n}$

It is provided that of the n = 250 registered voters selected, the number of voters who said they would vote for Brown is X = 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

$\hat p=\frac{X}{n}$

$=\frac{77}{250}\\$

$=0.308$

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

$E(X)=N\times \hat p$

$=11700\times 0.308\\=3603.6\\\approx 3604$

Thus, the expected numbers of voters who would vote for Brown is 3604.

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3 years ago

What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)

SIZIF [17.4K]

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function

$f(t) = P(1 - \frac{r}{100})^{t}$ ........... (1)