Answer:
Correlation will not change.
Correlation coefficient = -0.72
Step-by-step explanation:
We are given the following in the question:
Correlation coefficient between hours spent studying and hours spent on the Internet = -0.72
Properties of correlation coefficient:
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- It is not affected by the units of the variable or change in units of the variable.
Thus, if the units of each variable is changed from hours to minutes, the correlation coefficient remains the same between minutes studying and minutes spent on the Internet.
Answer: 30.72 miles per gallon
To find <span>best approximate for the average gas mileage at a speed of 60 miles per hour you need to replace the variable x with 60. The calculation would be:
</span><span> y=−0.0088x2+0.79x+15
y= -31.68 +47.4 + 15
y= 30.72
</span>
Answer:
A Type II error is when the null hypothesis is failed to be rejected even when the alternative hypothesis is true.
In this case, it would represent that the new program really increases the pass rate, but the sample taken is not enough statistical evidence to prove it. Then, the null hypothesis is not rejected.
The consequence is that the new method would be discarded (or changed) eventhough it is a real improvement.
Step-by-step explanation:
Answer:

Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

Now let us solve our equation.



Therefore, the equation
represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.
Answer:
It will take 2.6 hours by Daniel to catch up with Frank.
Step-by-step explanation:
Let Daniel will catch up with Frank after t hours.
Now, Frank will go 13 miles in
hours.
So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.
Hence, 45(t + 0.288) = 50t
⇒ 5t = 13
⇒ t = 2.6 hours.
Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)