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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

lesantik [10]2 years ago

7 0

Answer: The sample mean is 14.98

The second one is NOT standard deviation

Step-by-step explanation: Sorry thats all i got but good luck!

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PLEASE I NEED HELP

NeTakaya

Answer:

D) y=-1/2x+4

Step-by-step explanation:

D) y=-1/2x+4

In order to be parallel, it has to have the same slope (-1/2). Also, if you plug in (-2,5) for x and y, it does pass through those coordinates.

8 0

2 years ago

Find a formula for the inverse of the function. f(x) = e^6x − 9

STatiana [176]

Answer:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

Step-by-step explanation:

So we have the function:

$f(x)=e^{6x}-9$

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

$x=e^{6f^{-1}(x)}-9$

Add 9 to both sides:

$x+9=e^{6f^{-1}(x)}$

Take the natural log of both sides:

$\ln(x+9)=\ln(e^{6f^{-1}(x)})$

The right side cancels:

$\ln(x+9)=6f^{-1}(x)$

Divide both sides by 6:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

And we're done!

7 0

3 years ago

Find the prime factorization for the number 48 expressed in exponential notation. Thank you.

STatiana [176]

48
12 * 4
6 * 2 * 2 * 2
3 * 2 * 2 * 2 * 2
it should be 3 * 2^4...but that is not an answer choice

3 * 2^2 * 4 is ur answer....apparently they didn't factor the 4

6 0

3 years ago

A snail can move 1/2 mile in 5 hours.How fast does a snail move in miles/hour

Dima020 [189]

Answer: 0.10 mph

Step-by-step explanation:

3 0

3 years ago

If 2 is added to the numerator of a

Gekata [30.6K]

❍ Let's say, that the numerator of the fraction be x and denominator of the fraction be y.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\underline{\sf{Case\;}\it{1}:}$

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If 2 is added to the numerator of the fraction, it reduces to 1/2.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\begin{gathered}:\implies\sf{\dfrac{x+2}{y}=\dfrac{1}{2}}\\\\\\:\implies\sf{2x+4=y}\\\\\\:\implies\sf{2x=y-4}\qquad\qquad\bigg\lgroup\sf{eq^n\;1}\bigg\rgroup\end{gathered}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\underline{\sf{Case\;}\it{2}:}$

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If 1 is subtracted from the denominator of the fraction, it reduces to 1/3.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\begin{gathered}:\implies\sf{\dfrac{x}{y-1}=\dfrac{1}{3}}\\\\\\:\implies\sf{3x=y-1}\qquad\qquad\bigg\lgroup\sf{eq^n\;2}\bigg\rgroup\end{gathered}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Subtracting\;eq^n\;2\;from\;eq^n\;1:}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\begin{gathered}:\implies\sf{3x-2x=y-1-y-4}\\\\\\:\implies\underline{\boxed{\pink{\frak{\pmb{x=3}}}}}\;\bigstar\end{gathered}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Substituting\;value\;of\;x\;in\;eq^n\;1:}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\begin{gathered}:\implies\sf{2x=y-4}\\\\\\:\implies\sf{2(3)=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{y=-4-6}\\\\\\:\implies\underline{\boxed{\purple{\frak{\pmb{y=10}}}}}\;\bigstar\end{gathered}$

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Hence,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Numerator = x = 3
Denominator = y = 10

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$\therefore\;{\underline{\sf{Hence,\;the\;fraction\;is\;\frak{\dfrac{3}{10}}}.}}$ ⠀⠀

7 0

3 years ago