Answer:
Step-by-step explanation:
Given:
x>0
Which means
x is any number greater than 0 ig 1,2,3,4,5,7,9.......
y<0
Which means
y Is any number smaller than 0
ig -1,-2,-3,-4,-5.........
So according to the question
The coordinates are
(x,-y)
Therefore,
The points are located to Quadrant IV
Answer:
True both are 28/15
Step-by-step explanation:
Simplify the following:
5 + 2/3 - (3 + 4/5)
Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:
5 + 2/3 - (5×3)/5 + 4/5
5×3 = 15:
5 + 2/3 - (15/5 + 4/5)
15/5 + 4/5 = (15 + 4)/5:
5 + 2/3 - (15 + 4)/5
15 + 4 = 19:
5 + 2/3 - 19/5
Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:
(15×5)/15 + (5×2)/15 + (3 (-19))/15
15×5 = 75:
75/15 + (5×2)/15 + (3 (-19))/15
5×2 = 10:
75/15 + 10/15 + (3 (-19))/15
3 (-19) = -57:
75/15 + 10/15 + (-57)/15
75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:
(75 + 10 - 57)/15
| 7 | 5
+ | 1 | 0
| 8 | 5:
(85 - 57)/15
| 7 | 15
| 8 | 5
- | 5 | 7
| 2 | 8:
Answer: 28/15
______________________________________
Simplify the following:
1 + 13/15
Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:
15/15 + 13/15
15/15 + 13/15 = (15 + 13)/15:
(15 + 13)/15
| 1 | 5
+ | 1 | 3
| 2 | 8:
Answer: 28/15
Experimental probability = 1/5
Theoretical probability = 1/4
note: 1/5 = 0.2 and 1/4 = 0.25
=============================================
How I got those values:
We have 12 hearts out of 60 cards total in our simulation or experiment. So 12/60 = (12*1)/(12*5) = 1/5 is the experimental probability. In the simulation, 1 in 5 cards were a heart.
Theoretically it should be 1 in 4, or 1/4, since we have 13 hearts out of 52 total leading to 13/52 = (13*1)/(13*4) = 1/4. This makes sense because there are four suits and each suit is equally likely.
The experimental probability and theoretical probability values are not likely to line up perfectly. However they should be fairly close assuming that you're working with a fair standard deck. The more simulations you perform, the closer the experimental probability is likely to approach the theoretical one.
For example, let's say you flip a coin 20 times and get 8 heads. We see that 8/20 = 0.40 is close to 0.50 which is the theoretical probability of getting heads. If you flip that same coin 100 times and get 46 heads, then 46/100 = 0.46 is the experimental probability which is close to 0.50, and that probability is likely to get closer if you flipped it say 1000 times or 10000 times.
In short, the experimental probability is what you observe when you do the experiment (or simulation). So it's actually pulling the cards out and writing down your results. Contrast with a theoretical probability is where you guess beforehand what the result might be based on assumptions. One such assumption being each card is equally likely.
If you would like to solve the inequation X - 9 > 6, you can calculate this using the following steps:
X - 9 > 6 /+9
X - 9 + 9 > 6 + 9
X + 0 > 15
X > 15
The correct result would be X > 15.
Answer:
x=-6 is an extraneous solution
Step-by-step explanation:
we have
squared both sides
solve the quadratic equation by graphing
The solution is x=-6 and x=-1
see the attached figure
<u><em>Verify each solution</em></u>
substitute the value of x in the original expression
For x=-6
----> is not true
so
Is an extraneous solution
For x=-1
----> is true
so
Is the solution
