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3 years ago

The radius of a circle is 15 inches.

Mathematics

2 answers:

Sladkaya [172]3 years ago

6 0

Answer:

706.86 in^2

Explanation:

formula for a circle: $\pi r^{2}$

jok3333 [9.3K]3 years ago

4 0

Answer:

706.9in²

Step-by-step explanation:

A= πr^2

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Juliana made one container of berry punch and served it to her friends at a picnic. The container served 8 people. What would be

LiRa [457]

Answer:64 ounces

Step-by-step explanation:

average is 8 ounces per serving

8 0

4 years ago

What is the answer to -5 + 1/2?

Tema [17]

Answer:

-4 1/2 or -4.5 or -9/2

Step-by-step explanation:

3 0

3 years ago

The dataset Restaurant Tips contains data recorded from 157 restaurant bills at a bistro in New York over a two week period and

xz_007 [3.2K]

Answer: ($3.532, $4.166)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.90=0.10$

Critical value : $z_{\alpha/2}=1.645$

Sample size : n= 157

Sample mean : $\overline{x}=\$\ 3.849$

Standard deviation : $\sigma= \$\ 2.421$

The confidence interval for population mean is given by :_

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)$

Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)

5 0

3 years ago

The flag football league eventually had 72 kids sign up for the spring season after putting six teams together from the original

enyata [817]

Answer:

each team has 12

Step-by-step explanation:

8 0

3 years ago

Write -3+4i in the form r(cosx+isinx)

Zanzabum

$-3+4i$ is a complex number that satisfies

$\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}$

The last equation immediately tells you that $r=5$ .

So you have

$\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}$

Dividing the second equation by the first, you end up with

$\dfrac{\sin x}{\cos x}=\tan x=\dfrac{\dfrac45}{-\dfrac35}=-\dfrac43$

Because the argument's cosine is negative and its sine is positive, you know that $\dfrac\pi2$ . This is important to know because it's only the case that $y=\tan x\implies \arctan y=x$ whenever $-\dfrac\pi2$ . The inverse doesn't exist otherwise.

However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by $\pi$ , we have

$\tan(x-\pi)=y\implies x=\pi+\arctan y$

All this to say

$\tan x=-\dfrac43\implies x=\pi+\arctan\left(-\dfrac43\right)\approx2.2143\text{ rad}\approx126.9^\circ$

So, $-3+4i=5(\cos126.9^\circ+i\sin126.9^\circ)$ .

5 0

3 years ago