Answer:
1/2 or 50% probability
Step-by-step explanation:
There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:
AB where player A is the first player to score, we wouldn't have BA since player would not be the first here
Probability = number of favorable outcomes/total number of outcomes
Therefore probability of A being the first player = number of A/total number of players
=1/2 = 0.50
There is therefore a 50% chance of A being the first player
We can solve this by finding one of the numbers first
Let the smaller number be y.
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).
Therefore,
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141
Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143,
Therefore, your answer is 141 and 143
2x + 3y + 2(x - y) - 3x
First you apply the distributive property:
2x +3y + 2(x) - 2(y) - 3x
2x + 3y +2x - 2y - 3x
The you combine like terms:
2x + 2x - 3x +3y - 2y
4x - 3x + y
x (x could also be 1x) + y (y could also be 1y)
The answer is x + y or 1x + 1y
Answer:
The slope of the other line is -4/5
Step-by-step explanation:
In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;
10x - 8y = -80
The first thing to do here is to write the equation in the standard form for a linear equation.
The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept
Rewriting the equation we have;
8y-80 = 10x
8y = 10x + 80
Now divide the through by 8
We have;
y = 10x/8 + 10
Thus, comparing with y = mx + c , our m here is 10/8
Now for the two lines to be perpendicular, the product of their slope would be equals to -1
Let’s say the slopes are m1 and m2
mathematically m1m2 = -1
since m1 = 10/8
10m2/8 = -1
m2 = -8/10
m2 = -4/5
32a) the same six numbers are reported in the same order but at different starting points
b) All have sum of 999
c) yes, it is the same. 5/13=0.384615
384+615=999