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3 years ago

Find the area of a circle with a circumference of 6.28 units

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

area of the circle = 3.14 square units

Step-by-step explanation:

Circumference of the circle formula is $2\pir$

where r is the radius of the circle

given circumference = 6.28

$2\pir$ = 6.28

Value of pi is 3.14

2*3.14 * r= 6.28

6.28 r = 6.28

divide by 6.28 on both sides

r = 1

radius = 1

Area of the circle = $\pi r^2$

= 3.14 *1*1 = 3.14

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10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi

vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.

There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

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

$P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044$

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0

2 years ago

How do u do this problem: W/6+5/8=-1 3/8 <br> I got this answer: -1 53/64

Kobotan [32]

We have question
$\frac{W}{6}+ \frac{5}{8} =-1 \frac{3}{8}$
$\frac{W}{6} + \frac{5}{8} =- \frac{11}{8}$ <span> /*8 (multiply both sides by 8)</span>
$\frac{W8}{6} + \frac{5}{1} =- \frac{11}{1}$ /*6 (multiply both sides by 6)
$8W+5*6=-11*6$ /-30 both sides
8W=-66-30
8W=-96
W=-12

6 0

3 years ago

Read 2 more answers

-7(x+7=-56 I really need help

Reptile [31]

Answer:

x=1

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

3 0

3 years ago

Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2

LUCKY_DIMON [66]

Make a change of coordinates:

$u(x,y)=xy$
$v(x,y)=\dfrac xy$

The Jacobian for this transformation is

$\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}$

and has a determinant of

$\det\mathbf J=-\dfrac{2x}y$

Note that we need to use the Jacobian in the other direction; that is, we've computed

$\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}$

but we need the Jacobian determinant for the reverse transformation (from $(x,y)$ to $(u,v)$ . To do this, notice that

$\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}$

we need to take the reciprocal of the Jacobian above.

The integral then changes to

$\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv$
$=\displaystyle\frac12\int_{v=}^{v=}\int_{u=}^{u=}\frac{e^u}v\,\mathrm du\,\mathrm dv=\frac{(e^4-e)\ln2}2$

8 0

3 years ago

The simple interest on $600 saved for 3 years at an interest rate of 6 percent. Find the interest

saul85 [17]

Answer:

interest = $108

Step-by-step explanation:

interest = p * r * t

interest = 600*0.06*3

<u>interest = $108</u>

8 0

3 years ago