3 years ago

Find the median of the data. 5, 8, 4, 6, 8

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

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3 years ago

An ice sculpture is melting from the heat. it's height changes by -2/25 every hour, what will it be after 5 hours?

madreJ [45]

Answer:

Height will have changed by -2/5

Step-by-step explanation:

change in height = (change in height/hour) × hours

= (-2/25) × 5 = -2/5

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4 years ago

A theater sold a total of 570 tickets for a new movie. Of those tickets, 30% were children's tickets. How many children's ticket

professor190 [17]

According to my calculations the 30% of 570 is 171

10% of 570 is 57

times that by 3 and you get 171

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3 years ago

Read 2 more answers

What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f?<br> -

Ann [662]

Answer:

$g(x) = \sqrt[4]{x-7},~ x\geq 7$

Step by step explanation:

$y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}$

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2 years ago

Need help with problem 20 and 22.

AlexFokin [52]

20 is permutation
22 is counting principle
Hope it help.

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3 years ago