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dsp73
3 years ago
13

Find the value of x. If​ necessary, write your answer in simplest radical form. 8 x 2

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

8 · 2 or 8x² or 8x2

Step-by-step explanation:

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Help please . The answer choices are <br> A. 0 <br> B. 1<br> C. 7<br> D. Undefined
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Thallium-210 has a half-life of 1.32 minutes. Find an equation for the percent of Thallium-210 sample that remains after t minut
Lady bird [3.3K]

Answer:

  p(t) = 100%·2^(-t/1.32)

Step-by-step explanation:

The equation for exponential decay is ...

  (remaining amount) = (initial amount)·2^(-t/(half-life))

Here, we can represent the percentage remaining by p(t) and the initial amount by 100%. Then, for a half-life of 1.32 minutes, the amount remaining is ...

  p(t) = 100%·2^(-t/1.32) . . . . . where t is in minutes

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Alternate functional forms are possible, such as ...

  p(t) = 100%·e^(-0.525112t)

  p(t) = 100%·0.591489^t

4 0
3 years ago
A tobacco company claims that its best-selling cigarettes contain at most 40 mg of nicotine. The average nicotine content from a
tatuchka [14]

Answer:

t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722    

df=n-1=15-1=14  

p_v =P(t_{(14)}>2.722)=0.0083  

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

Step-by-step explanation:

Information provided

\bar X=42.6 represent the average nicotine content

s=3.7 represent the sample standard deviation

n=15 sample size  

\mu_o =40 represent the value to check

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to verify if the nicotine content of the cigarettes exceeds 40 mg , the system of hypothesis are:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

The statistic for this case would be:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replcing we got:

t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722    

The degrees of freedom are:

df=n-1=15-1=14  

The p value would be:

p_v =P(t_{(14)}>2.722)=0.0083  

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

6 0
3 years ago
Rewrite this equation in Slope-intercept form<br> (PLEASE SHOW ALL WORK)
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Y=3/2x - 1/5

have a great day :)

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3 years ago
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