Answer:
x=-4
y=-4
Step-by-step explanation:
We are going to eliminate the variable x. In order to do this, we are going to make the coefficients the same by multiplying the second equation by 2
mark brainliest :)
For this case we have the following equation:

We must clear the value of the variable "x" as a function of r, s and t:
If we multiply by "r" on both sides of the equation we have:

If we subtract "t" on both sides of the equation we have:

If we divide by "2" on both sides of the equation we have:

Thus, the value of the variable "x" is:

Answer:

Answer:
The equation of the line would be y = 1/5x + 8
Step-by-step explanation:
Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.
Now we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 9 = 1/5(x - 5)
y - 9 = 1/5x - 1
y = 1/5x + 8
Answer:
First step of the problem
Step-by-step explanation:
The mistake that Carly did while solving the equation was that she multiplied -4 with 10, when there was no reason to. If she had to, it would be if -4 was 1 over -4 and then to get rid of that should would multiplied that on both sides. Both in this case there was no reason to.
Besides that, the real way to solve the problem is by doing these steps.
1. Distribute property
-4(7j+2) = 10 => take -4 times 7j and -4 times POSITIVE 2
-28j-8= 10
You may be wondering why can't we add 7j and 2 together? Well it's because they aren't the same variable if 7j was just 7, then you could add 7 and 2 together. And if 2 was 2j, you would add 7j and 2j together. This type of process is called "combine like terms." It's when you add or subtract all the terms that are the same variable.
2. Get "j" on one side
-28j-8= 10
<u> +8 +8 </u>
-28j= 18
With this we had to add 8 on both sides to get -28j on one side of the equation. This is how we ended up with -28j= 18
3. Get "j" all alone
<u>-28j= 18 </u>
18
j= -28/18
or j= -14/9
Why did we divide 18? Well if you divide 18 on both sides, you have one side cancel out and the other side resulting in the coefficient with the variable divided by the number, this will cause "j" to be alone or have an answer.
The right answer for "j" is actually -14/9
I hope this help you understand, if not don't be afraid to ask questions or even comment. Hope you have a great day, bye! :D
Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:

In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that 
Sample of 10 means that 
No polymeter B which means that 
17 fibers of polymeter B which means that 
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).


0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B