Answer:
4th row will result in the greatest mean.
Step-by-step explanation:
We are asked to find the row with greatest mean from our given rows.
We will use formula 
, where,
,
,
Let us find mean of each row using above formula.
Therefore, mean of 1st row is 2.8.
Therefore, mean of 2nd row is 3.
Therefore, mean of 3rd row is 3.2.
Therefore, mean of 4th row is 4.2.
Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.
Let's find the slope for line t first.
We can use the given points 2,6 and 10,1 to find the slope using the slope formula.
1 - 6 / 10 - 2
-5/8
The slope is -5/8.
Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.
When a slope is perpendicular to another, it is equal to the negative reciprocal.
Negative reciprocal of -5/8 = 8/5
<h3>The slope of line u is 8/5</h3>
Answer:
Step-by-step explanation:
<u>8 to the 3 power is</u>
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
<span>-3.66666666667 is da answer
</span>
