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2 years ago

The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.

Mathematics

2 answers:

lawyer [7]2 years ago

8 0

Formula: A = πr²

Divide to find the radius.

6 / 2 = 3

Solve using the values we are given and solved for.

A = π(3)²

A = 9π

A ≈ 28.26

Best of Luck!

Marysya12 [62]2 years ago

6 0

Answer:

28.26 miles

Step-by-step explanation:

Area= pi times radius squared

diameter is twice the radius so 6÷2=3miles

3 miles is the radius

So A= 3.14 × 3²

= 28.26

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3 years ago

Dilate the figure by the scale factor. Then enter

Nina [5.8K]

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1 year ago

Let X1, X2, ... , Xn be a random sample from N(μ, σ2), where the mean θ = μ is such that −[infinity] < θ < [infinity] and

Sliva [168]

Answer:

$l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)$

And then the maximum occurs when $l'(\theta) = 0$ , and that is only satisfied if and only if:

$\hat \theta = \bar X$

Step-by-step explanation:

For this case we have a random sample $X_1 ,X_2,...,X_n$ where $X_i \sim N(\mu=\theta, \sigma)$ where $\sigma$ is fixed. And we want to show that the maximum likehood estimator for $\theta = \bar X$ .

The first step is obtain the probability distribution function for the random variable X. For this case each $X_i , i=1,...n$ have the following density function:

$f(x_i | \theta,\sigma^2) = \frac{1}{\sqrt{2\pi}\sigma} exp^{-\frac{(x-\theta)^2}{2\sigma^2}} , -\infty \leq x \leq \infty$

The likehood function is given by:

$L(\theta) = \prod_{i=1}^n f(x_i)$

Assuming independence between the random sample, and replacing the density function we have this:

$L(\theta) = (\frac{1}{\sqrt{2\pi \sigma^2}})^n exp (-\frac{1}{2\sigma^2} \sum_{i=1}^n (X_i-\theta)^2)$

Taking the natural log on btoh sides we got:

$l(\theta) = -\frac{n}{2} ln(\sqrt{2\pi\sigma^2}) - \frac{1}{2\sigma^2} \sum_{i=1}^n (X_i -\theta)^2$

Now if we take the derivate respect $\theta$ we will see this:

$l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)$

And then the maximum occurs when $l'(\theta) = 0$ , and that is only satisfied if and only if:

$\hat \theta = \bar X$

6 0

2 years ago

Use the formula d=rt. Find t for r=48.3m/h and d=545.79m.

Korolek [52]

Answer:

t = 11.3 hours

Step-by-step explanation:

The formula d = rt stands for distance = rate x time. The problem gives you the rate, or r = 48.3 m/h, and the distance, or d = 545.79m. To solve for 't', you can plug the values given and divide:

d = rt or 545.79 = 48.3(t)

Divide both sides by 48.3: 545.79/48.3 = 48.3t/48.3

Solve for t: t = 11.3 hours

6 0

2 years ago

The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.​

The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.