2 would be the base and 3 will be the square
Let x = the number of alternative schools.
Therefore, 2x - 4 = 48.
2x -4 +4 = 48 + 4
2x = 52
x = 26
Therefore, there are 26 alternative schools(You could check this answer by substituting x=26 into the equation above.).
Answer:
Step-by-step explanation:
in y = mx + b form, the slope is in the m position and the y int is in the b position
y = -2x + 3.....slope is -2 and y int is 3
y = -2x - 1...slope is -2 and y int is - 1
same slope, different y int's....means parallel lines...NO SOLUTION
learn this...it helps
same slope, different y int's = no solution
different slopes, different y int's = 1 solution
same slope, same y int's = infinite solutions
This the problem we are looking at: 6 pounds/18 = 72 ounces /?
To solve this, we have to make the unit of measurement the same. There are 16 ounces in 1 pound. So, there are 72 ounces in 4.5. To find that you just do 72 divided by 16. This is the new problem we are looking at: 6 pounds/18 = 4.5 pounds/?
To find ?, you must divided 6 divided by 4.5 to find the difference between the two to keep the same rate. That equals 1.33333333.
What is done to the numerator, you must do to the denominator to keep the same rate so now you divide 18 divided by 1.33333333 which equals 13.5
So for 72 ounces (4.5 pounds) it will cost $13.50
I hope this helps:)
Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000
