Answer
https://zoom.us/j/99385592884?pwd=ajVOcXZSbGcyT3N3N0kxQm5Zek81Zz09er:
Step-by-step explanation:
S = 2b + ph
Lets subtract both sides by 2b
s - 2b = ph
Now, divide both sides by h
(s-2b)/h = p
Hope this helps!
Answer:
x = 3, y = 7
or (3,7)
Step-by-step explanation:
We are given the system of equations below:

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.
By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

Then we substitute y = 2x+1 in the second equation.

Use the distribution property.

Isolate x-term to solve the equation.

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

Isolate and solve for y-term.

Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)
Hence, the solution is (3,7)
When an equation has a line with an undefined slope, it means that the line is vertical.
(2,5); 2 is the x - coordinate and 5 is the y - coordinate
Slope - intercept form: y = mx + b
As shown above, the equation would've been written in slope - intercept form, where 'm' represents the slope and 'b' represents the y - intercept. However, in this case, the slope is undefined.
In the equation, you are ONLY looking for the x - intercept. Therefore, the x - intercept is 5, so that may be the equation of the line.
x = 5
The probability that more than 3 messages will arrive during a 30-second interval is
.
According to the statement
we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.
So, For this purpose, we know that the
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
And the given information is that :
3 messages will arrive during a 30-second interval.
Then
Probability = P(X=1) + P(X=2) + P(X=3).Then
The probability become according to the exponential distribution:

And then substitute the values in it then

This is the probability.
So, The probability that more than 3 messages will arrive during a 30-second interval is
.
Learn more about probability here
brainly.com/question/24756209
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