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3 years ago

Find the rectangular coordinates of the point with the polar coordinates (-7, 5pi/3)

1 answer:

5 0

$\left(7\cdot\cos \dfrac{5\pi}{3},7\cdot\sin\dfrac{5\pi}{3}\right)=\left(7\cdot\dfrac{1}{2},7\cdot\left(-\dfrac{\sqrt3}{2}\right)\right)=\\
\left(\dfrac{7}{2},-\dfrac{7\sqrt3}{2}\right)$

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About 0.036% of the water on earth is found in lakes and rivers which of the following shows 0.036% written as a fraction select

KengaRu [80]

Which that apply?

but some easy ones that comes to mind are 36/1000 and 9/250

5 0

3 years ago

The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an

lions [1.4K]

Answer:

Confidence interval: (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100,000

Number of people who donated, x = 4781

$\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781
$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)$

is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.

3 0

2 years ago

Between which two square roots of integers could you find 2.7182818284

klasskru [66]

That's the beginning of Euler's number ' e '.
It falls between the square roots of 7 and 8 .

Hey ! You know what !
It falls between the square roots of any integer
less than 8 and any integer greater than 7 .

8 0

2 years ago

The product of two positive consecutive odd integers is 2703. What are the positive numbers?

liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

$x^2+2x-2703=0$

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

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2 years ago

the sum of three consecutive terms in an arithmetic sequence is 30, and their product is 360. Find the tree terms

IRISSAK [1]

Hello here is a solution :

3 0

2 years ago