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siniylev [52]
2 years ago
5

Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.

Mathematics
1 answer:
RideAnS [48]2 years ago
6 0
Its 2 km hope this help have a nice day
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Assume that a sample is used to estimate a population proportion p. find the margin of error e that corresponds to the given sta
Leno4ka [110]

Let p be the proportion. Let c be the given confidence level , n be the sample size.

Given: p=0.3, n=1180, c=0.99

The formula to find the Margin of error is

ME = z _{\alpha/2}  \sqrt{\frac{p*(1-p)}{n}}

Where z (α/2) is critical value of z.

P(Z < z) = α/2

where α/2 = (1- 0.99) /2 = 0.005

P(Z < z) = 0.005

So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.

The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58

(-2.57) + (-2.58) = -5.15

-5.15/2 = -2.575

For computing margin of error consider positive z score value which is 2.575

The margin of error will be

ME = z _{\alpha/2}  \sqrt{\frac{p*(1-p)}{n}}

= 2.575  \sqrt{\frac{0.30*(1-0.3)}{1180}}

= 2.575 * 0.0133

ME = 0.0342

The margin of error is 0.0342

7 0
2 years ago
kyle unpacks a box that holds 9 layers of cans. There are 5 rows of 4 cans in each later. which way can Kyle organize all the ca
Ainat [17]
It might be 180 because 5×4 is 20 and 20×9 is 180

4 0
2 years ago
Read 2 more answers
Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents functio
balandron [24]

The functions and their descriptions are:

  • Polynomial: y = \frac{5x^3}{8} and y = 5x^3 + 8
  • Logarithm: y = 6 + 0.25\ln(x)
  • Exponential y = \frac{18}{1 + 6e^{-0.25x}}

<h3>How to describe the functions?</h3>

The functions are given as:

y = \frac{5x^3}{8}

y = 6 + 0.25\ln(x)

y = \frac{18}{1 + 6e^{-0.25x}}

y = 5x^3 + 8

The functions would be described based on the type of function they represent.

Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.

Read more about functions at:

brainly.com/question/4025726

#SPJ1

7 0
1 year ago
What is the quotient 10 plus x and y minus 3
r-ruslan [8.4K]
3 more than 7= 7 +3 3 added to 7= 7 +3 lesson 1-6... five plus x minus 3 2) three times y less 4 3).. seven minus twice the quotient of x and 3
4 0
2 years ago
Given a focus of (4, 5) and directrix of y= -3 , find the equation of the parabola.
andrey2020 [161]
Check the picture below.

notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.

keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}})&#10;\\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------

\bf \begin{cases}&#10;h=4\\&#10;k=1\\&#10;p=4&#10;\end{cases}\implies (x-4)^2=4(4)(y-1)\implies (x-4)^2=16(y-1)&#10;\\\\\\&#10;\cfrac{1}{16}(x-4)^2=y-1\implies \cfrac{1}{16}(x-4)^2+1=y

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3 years ago
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