Answer:
rational
Step-by-step explanation:
irrational numbers can not be expressed as a fraction
Answer:
25
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 175cm
Standard deviation = 6 cm
Percentage of students below 163 cm
163 = 175 - 2*6
So 163 is two standard deviations below the mean.
By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.
2.5% of the students have heights less than 163cm.
Out of 1000
0.025*1000 = 25
25 is the answer
Answer:
Check the explanation
Step-by-step explanation:
Open file in excel.
Click on Data->Data Analysis and select Regression.
Enter wait time data range in y-variable.
Enter Duration data range in x-variable.
Click ok.
From above output:
#1 The equation of the linear regression line is:
A 95% confidence interval for the slope of the regression line is:

In excel, ise formula =FORECAST(6,wait time data range, duration data range) and press enter. The wait time between eruptions following a 6 minute eruption is 
Since (for F test)
, we can conclude that there is a statistically significant linear relationship between the duration of the eruptions and the wait time between eruptions.
The correct null and alternative hypotheses for this analysis:

Kindly check the output below
The angle whose sine is 0.39581 is 23.31650126° (round it how you want).
To calculate this, you need to do the inverse sine of 0.39581.
Inverse sine looks like

, however, it is not the sine of the angle to the power of -1.
They are not proportional because they do not have a constant ratio. If the data on the graph shows a curved line, it is not constant and is not proportional.