Answer:

Step-by-step explanation:
Given

Required
Determine the test statistic
Let the dataset of stick be A and Liquid be B.
We start by calculating the mean of each dataset;

n, in both datasets in 6
For A



For B



Next, calculate the sample standard deviation
This is calculated using:

For A




For B




Calculate the pooled variance




Lastly, calculate the test statistic using:

We set

So, we have:


The equation becomes




<em>The test statistic is 31.29</em>
Answer:
I think it is 78
Step-by-step explanation:
The numbers are in the wrong order, If I put it in order, it would be 6 16 68 78 88 98. But there is no 78.
Hope this helps
Answer:
- The smaller one is x = 3
- and the larger one is x = 6
Step-by-step explanation:
A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.
A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.
_____
Setting the derivative to zero is another way to find the points with zero slope:
f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)
The derivative will be zero where the factors are zero, at x=3 and x=6.
The critical numbers are x=3 and x=6.
Answer:
x=2/9,y=26/9
Step-by-step explanation:
This is a simultaneous equation
16x+5y=-2..(1)
4x-y=-2...(2)
From (2) make y the subject of formula
y=4x+2..(3)
Substitute (3) into (1)
16x+5(4x+2)=-2
16x+20x+10=-2
36x-10=-2
Add 10 to both sides
36x=8
Divide both sides by 36
x=8/36
Divide both denominator and numerator by 4
x=2/9
Substitute the value x into (3)
y=4(2/9)+2
y=8/9+2
Let the LCM be 9
y=8+18/9
y=26/9
Therefore x=2/9,y=26/9