1) There are 100 flowers.
2 answers:
<u>Answer:</u>
Below!
<u>Step-by-step explanation:</u>
- 1 vase = 12 flowers
- => 8 vases = 96 flowers
<em>We can clearly see that the maximum flower vases Ben can use is 8 because if Ben used 9 vases, he would not have enough flowers. Hence, Ben needed 8 vases. To check for remainders, we will subtract 96 from 100. As a result, we got 4. Hence, he had 4 flowers remaining.</em>
Hope this helped!
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Answer:
The degrees of freedom are :
Since the p value is a very high value is higher than the typical values for the significance level (0.05,0.1) so then we have enough evidence to FAIL to reject the null hypothesis and there is no enough evidence to conclude that the true difference in the means is different from 0. And the best conclusion would be:
d. There is not enough evidence to conclude the mean difference in pulse rates before and after the 5 minute waiting period is different from 0.
Step-by-step explanation:
We are interested to check if the true difference in pulse rates before and after after 5 minute waiting period is 0 or no so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
We have the following data given:
sample mean for the difference
the sample size
sample standard deviation
The statistic is given by:
And replacing we got:
The degrees of freedom are :
Since we are conducting a bilateral test te p value would be given by:
Since the p value is a very high value is higher than the typical values for the significance level (0.05,0.1) so then we have enough evidence to FAIL to reject the null hypothesis and there is no enough evidence to conclude that the true difference in the means is different from 0. And the best conclusion would be:
d. There is not enough evidence to conclude the mean difference in pulse rates before and after the 5 minute waiting period is different from 0.
Answer:
Option C) is correct
Therefore
Step-by-step explanation:
Given expression is
To simplify the given expression :
( using the property
)
Therefore
Therefore option C) is correct
Therefore the simplified expression is
The range would be
Assuming you meant <span>e⁴ thus
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![\bf ln\left( \sqrt[7]{e^4} \right)\implies log_e\left( e^{\frac{4}{7}} \right)\\\\ -----------------------------\\\\ log_{{ a}}{{ a}}^x\implies x=x\impliedby \textit{let's use this cancellation rule}\\\\ -----------------------------\\\\ log_e\left( e^{\frac{4}{7}} \right)\iff \cfrac{4}{7}](https://tex.z-dn.net/?f=%5Cbf%20ln%5Cleft%28%20%5Csqrt%5B7%5D%7Be%5E4%7D%20%5Cright%29%5Cimplies%20log_e%5Cleft%28%20e%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D%20%5Cright%29%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Alog_%7B%7B%20%20a%7D%7D%7B%7B%20%20a%7D%7D%5Ex%5Cimplies%20x%3Dx%5Cimpliedby%20%5Ctextit%7Blet%27s%20use%20this%20cancellation%20rule%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Alog_e%5Cleft%28%20e%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D%20%5Cright%29%5Ciff%20%5Ccfrac%7B4%7D%7B7%7D)
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