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3 years ago

10

Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. refer to exhibit 6-

1. the probability that x will take on a value between 21 and 25 is

1 answer:

tatyana61 [14]3 years ago

7 0

(25 -21)/(28 -20) = 4/8 = 1/2

Your probability is 1/2.

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Z varies directly with x and inversely with y. When x=6 and y=2, .z=15. Write function that models variation. Then, find z when

tester [92]

$\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{ k }}x
\end{array}\\ \quad \\$

$\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}$

$\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
\end{cases}\implies 15=\cfrac{k\cdot 6}{2}\implies 30=6k$

$\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
\textit{what's "z" when }
\begin{cases}
x=4\\
y=9
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4 years ago

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Write the equation of a line that is parallel to y= -6x+2 that passes through the point (-2,-3)

MissTica

Answer:

y = - 6x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 6x + 2 ← is in slope- intercept form

with slope m = - 6

Parallel lines have equal slopes then

y = - 6x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = 12 + c ⇒ c = - 3 - 12 = - 15

y = - 6x - 15 ← equation of parallel line

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