Answer:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
128 ounces in a gallon
The pack is 33.84 ounces in total
gallon for 7=18 cents per ounce
pack for 2.39 is .07 cents per ounce
So the pack is a better deal
The finance charge you will pay in dollars is the only thing you need to know about a loan is false
Answer:
12 1/2% DISCOUNT:
Step-by-step explanation:
Jacket: $60.81
Tie: $13.56
Raincoat: $65.93
Answer:
<em>129 </em>
Step-by-step explanation:
Increasing rate of length,
= 9 cm/s
Increasing rate of width,
= 7 cm/s
Length, l = 12 cm
Width, w = 5 cm
To find:
Rate of increase of area of rectangle at above given points.
Solution:
Formula for area of a rectangle is given as:

OR

Differentiating w.r.to t:

Putting the values:
