Answer: The required lifetime value is 11.27.
Step-by-step explanation:
Since we have given that
Mean value = 11 hours
Standard deviation = 1 hour
The total lifetime of all batteries in a package exceeds that value for only 5% of all packages.
So, α = 0.95, z= 1.645
n = 9
So, the lifetime value would be
Hence, the required lifetime value is 11.27.
Answer:
Step-by-step explanation:
STEP 1: Subtract 11x from 7x.
STEP 2: Subtract 10 from 12.
Answer:
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3).
Step-by-step explanation:
x^5y^2 − x^4y + 2xy^3 = 0
Applying the Product and Chain Rules:
y^2*5x^4*dx/dy + 2y*x^5 - (y*4x^3*dx/dy + x^4) + (y^3* 2*dx/dy + 3y^2*2x) =0
Separating the terms with derivatives:
y^2*5x^4*dx/dy - y*4x^3*dx/dy + y^3* 2*dx/dy = x^4 - 2y*x^5 - 3y^2*2x
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3)
Answer:
y = 250x + 1000
Step-by-step explanation:
we know, it is a linear function.
so, y = ax + c
we have multiple data points all on the line.
(4,2000)
2000 = a×4 + c, => c = 2000 - a×4
(7,2750)
2750 = a×7 + c
=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000
=> 750 = a×3
=> a = 250
=> c = 2000 - 250×4 = 2000-1000 = 1000
Answer:
15 is 12.5% of 120
35% of 160 is 56
48 is 80%of 60
11 is 20% of 55
1.Equation- a statement that two expressions are equal.
2.Expression- a phrase that represents a mathematical relationship
Step-by-step explanation:
Hope this helps! Sorry if any are wrong!
