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s2008m [1.1K]
2 years ago
10

If a hypothesis test leads to the rejection of the null hypothesis, a _____.

Mathematics
1 answer:
Butoxors [25]2 years ago
6 0

Answer:

Step-by-step explanation:

Hope it helped u

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Pls pls pls pls help me
Tju [1.3M]

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3 0
3 years ago
Solve the equation for x: 2x + 22 = 4(x+3)
Elina [12.6K]
2x + 22 = 4(x + 3)...distribute thru the parenthesis
2x + 22 = 4x + 12...subtract 2x from both sides, subtract 12 from both sides
22 - 12 = 4x - 2x...simplify
10 = 2x...divide both sides by 2
10/2 = x...reduce
5 = x <==
8 0
3 years ago
A model for the population in a small community after t years is given by P(t)=P0e^kt.
LUCKY_DIMON [66]
\bf \textit{Amount of Population Growth}\\\\&#10;A=Ie^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;I=\textit{initial amount}\\&#10;r=rate\to r\%\to \frac{r}{100}\\&#10;t=\textit{elapsed time}\\&#10;\end{cases}

a)

so, if the population doubled in 5 years, that means t = 5.  So say, if we use an amount for "i" or P in your case, to be 1, then after 5 years it'd be 2, and thus i = 1 and A = 2, let's find "r" or "k" in your equation.

\bf \textit{Amount of Population Growth}\\\\&#10;A=Ie^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &2\\&#10;I=\textit{initial amount}\to &1\\&#10;r=rate\\&#10;t=\textit{elapsed time}\to &5\\&#10;\end{cases}&#10;\\\\\\&#10;2=1\cdot e^{5r}\implies 2=e^{5r}\implies ln(2)=ln(e^{5r})\implies ln(2)=5r&#10;\\\\\\&#10;\boxed{\cfrac{ln(2)}{5}=r}\qquad therefore\qquad \boxed{A=e^{\frac{ln(2)}{5}\cdot t}} \\\\\\&#10;\textit{how long to tripling?}\quad &#10;\begin{cases}&#10;A=3\\&#10;I=1&#10;\end{cases}\implies 3=1\cdot e^{\frac{ln(2)}{5}\cdot t}

\bf 3=e^{\frac{ln(2)}{5}\cdot t}\implies ln(3)=ln\left( e^{\frac{ln(2)}{5}\cdot t} \right)\implies ln(3)=\cfrac{ln(2)}{5} t&#10;\\\\\\&#10;\cfrac{5ln(3)}{ln(2)}=t\implies 7.9\approx t

b)

A = 10,000, t = 3

\bf \begin{cases}&#10;A=10000\\&#10;t=3&#10;\end{cases}\implies 10000=Ie^{\frac{ln(2)}{5}\cdot 3}\implies \cfrac{10000}{e^{\frac{3ln(2)}{5}}}=I&#10;\\\\\\&#10;6597.53955 \approx I
3 0
3 years ago
The sales tax in one state is 7%. Write a function rule for the total cost of an item with selling price x. Find the total cost
Goshia [24]

Answer:

xkxpvYGkutafumys6idod

7 0
2 years ago
Find the quotient (-6) divided by (-7)
Elena L [17]

Answer:

I got a decimal

Step-by-step explanation:

<u><em>0.857142857</em></u>

3 0
3 years ago
Read 2 more answers
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