Answer:
x = ±√ 1.667 = ± 1.29099
Step-by-step explanation:
List factors of p: 3,8
List factors of q: 4,5
List possible zeros: +/- p/q (0 -8 1.667
(looked it up )
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
Answer: Your answer is 38 roses
14+14=28
28+10=38 roses
Answer:
The purpose of statistical inference is to provide information about the population based upon information contained in the sample.
Step-by-step explanation:
population based upon information contained in the sample
Step-by-step explanation:
Statistical inference is the process of using data analytics to deduce proprierties of an underlying probability distribution.
For example, if I want to know the percentage of Buffalo Bills fans that are from Canada. There is no way I can ask this question to every Bills fan(every Bills fan is the population). What I can do, for example, is go to a game and ask some of the fans there, that is, of a sample.
So you are seeing how much time it'll take so you solve for "t", the time.
<span>So you take the formula A=Pe^(rt) </span>
<span>A=2000 because it's the end value </span>
<span>P=20 because it's the starting value </span>
<span>r=.85 since 85%=.85 and .85 is the rate </span>
<span>Plug the values in and you get 2000=20e^(.85t) </span>
<span>What you do is you divide by 20 so you get 100=e^(.85t) </span>
<span>Take the natural logarithm of both sides 'cause of e and a natural log is written as ln so you get </span>
<span>ln 100=.85t ln e and because you can use the power rule you end up with .85t ln e and </span>
<span>ln e=1 so you have ln 100 = .85t so you divide by .85 so (ln 100)/.85=t and t=5.4178472776331 </span>
<span>hours </span>
<span>3. Exponential decay: </span>
<span>A= Pe^(rt) </span>
<span>where </span>
<span>A is the final amount </span>
<span>P is the initial value </span>
<span>r is rate of decay </span>
<span>t is time (years) </span>
<span>Let's say x is the initial amount then (1/2)x=xe^(32r) </span>
<span>I used x because the value isn't given but anyway division by x would give you 1/2=e^(32r) </span>
<span>Take the ln of both sides so ln 1/2=32r ln e and then ln e=1 so ln 1/2=32r. </span>
<span>Divide both sides by 32 and you'd get (ln 1/2)/32=r and r= -0.021660849392498 </span>
<span>4. Another depreciation question. </span>
<span>Each year the item retains 88% of its last-year value. </span>
<span>Solve: 250,000(0.88)^x = 100,000 </span>
<span>0.88^x = 0.4 </span>
<span>x = [log0.4]/[log0.88] </span>
<span>x = 7.168 years </span>
