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Bingel [31]
3 years ago
14

What is logarithmic form of 81^1/2=9

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0
Log81 (9) = 1/2
The 81 is a subscript don’t know if I could type it like that so I just put it like that
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A forester studying diameter growth of red pine believes that the mean diameter growth will be different from the known mean gro
-Dominant- [34]

Answer:

t=\frac{1.6-1.35}{\frac{0.46}{\sqrt{32}}}=3.07  

The degrees of freedom are given by:

df =n-1= 32-1=31

Since is a two-sided test the p value would be:  

p_v =2*P(t_{31}>3.07)=0.0044  

Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example (\alpha=0.01,0.05, 0.1, 0.15).

Step-by-step explanation:

Data given and notation  

\bar X=1.6 represent the sample mean

s=0.46 represent the sample deviation

n=32 sample size  

\mu_o =1.35 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 1.35 in/year, the system of hypothesis would be:  

Null hypothesis:\mu =1.35  

Alternative hypothesis:\mu \neq 1.35  

The statistic is given by:

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

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{1.6-1.35}{\frac{0.46}{\sqrt{32}}}=3.07  

P-value  

The degrees of freedom are given by:

df =n-1= 32-1=31

Since is a two-sided test the p value would be:  

p_v =2*P(t_{31}>3.07)=0.0044  

Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example (\alpha=0.01,0.05, 0.1, 0.15).

5 0
3 years ago
What is the mean of caffeine content in soda drinks (to the nearest whole number)
frutty [35]
The mean of the data set is 26 because the sum of all the data points divided by the number of data points is 26.4 repeating which rounds to 26.
4 0
2 years ago
Determine the intercepts of the line <br> Y ——-,——-<br> X——-,——-
77julia77 [94]

Answer:

(-8,0), (0,-6)

Step-by-step explanation:

3 0
2 years ago
What is the ratio 28 : 35 written in lowest terms?<br> 09:15<br> 07:19<br> 0 4:5<br> 03:7
Oksi-84 [34.3K]

Answer:

4:5

28 : 35 =  \frac{28}{35} =  \frac{4}{5}  = 4 : 5

3 0
2 years ago
Read 2 more answers
On Wednesday and Thursday
m_a_m_a [10]

Answer:

8 records were sold on Wednesday, and 24 records were sold on Thursday

Step-by-step explanation:

Let's call the number of records sold on Wednesday w, and the number sold on Thursday t.

t+w=32

t=3w

Substituting:

(3w)+w=32

4w=32

w=8

t=3w=3(8)=24

Hope this helps!

7 0
3 years ago
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