Answer:
The exponent of y is 1
Step-by-step explanation:
Given
Required
Convert to fractional exponent
Here, we simply apply the following law of indices:
So, the expression becomes:
<em>From the above expression, the exponent of y is 1</em>
Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
Answer:
m = -1 (answer (a))
Step-by-step explanation:
Recall that the slope of a straight line is m = rise / run.
As we go from the point (0, -2) to the point (2, -4), we see an increase of 2 in x and a decrease of 2 in y.
Thus, the slope of this line is m = rise / run = 2/(-2), or m = -1 (answer (a))
So remember the formula for working out the slope:
(y2 - y1) ÷ (x2 - x1)
We already know two points:
(11, 5) and (20, 5) (Remember points are like (x, y)
Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11
Substitute these into the formula from the start:
(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9
And we can determine the slope is equal to 0 as 0 ÷ 9 = 0
Answer:
I dont really know how to do this, but I think you have to multiply
Step-by-step explanation:
