Answer:
10,404/334,084
Step-by-step explanation:
Given the polynomial
289r^2 - 102r + c
We are to find the value of c that will make it a perfect square
Divide through by 289
289r²/289 - 102r/289 + c/289
Half of the coefficient of r is 1/2(102/289)
Half of the coefficient of r = 102/578
Square the result
r² = (102/578)²
r² = 10,404/334,084
Hence the required constant is 10,404/334,084
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The number of light produced in an hour is n = 922
The proportion of the bulb that are defective is p = 0.0334
Generally given from the question that we should use binomial distribution it then means that the standard deviation is mathematically evaluated as

=> 
=>
Answer:
w = 242
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 253 from both sides.
Step 3: Divide both sides by -1.
Step 4: Check if solution is correct.
Therefore, w = 242.
Have a lovely rest of your day/night.
Answer:
x =60 ° angles on a straight line
y+25° =120° exterior angle of the triangle
y=120°-25°=95°
y =95 °