Answer: 9.2 years
Step-by-step explanation:
Given the following :
Mean(m) = 11.7 years
Standard deviation (s) = 1.2 years
Recall the z-score formula :
Z = (x - m) / s
We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.
2% = 0.02
0.02 falls most closely to 0.02018whuch is under - 2.05.
Using the z-score value in the formula above :
-2.05 = (x - 11.7) / 1.2
Cross multiply
(-2.05 × 1.2) = x - 11.7
-2.46 = x - 11.7
x = - 2.46 + 11.7
x = 9.24 years
Answer:
40.5 seconds if it is 1:21 minutes
Step-by-step explanation:
60 seconds per minute plus 21 seconds is 81 seconds. Half of 80 is 40, half of 1 is 0.5. Together it is 40.5 seconds for half of 1:21 minutes.
S what you do is 10,911-8,848=2063 so 2063 is the difference. the reason i subtracted is because difference also means subtract <span />
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:
9
Step-by-step explanation:
A quadratic equation is
The axis of symmetry is 1. This means that some value of
-b/2a =1.
f(0) represent one of the horinzontal roots. Since f(0) equal 0, the constant is 0.
Notice how x=1 is the line of symmetry. This means when x=4 and x=-2, the quadratic is equal. so consider this equation.
=-24
16a+4b= -24
4a-2b=-24
Solve for a by elimination.
2(4a-2b=-24)= 8a-4b=-48
Add both equations.
(16a+4b=-24)+(8a-4b=-48)= 24a=-92
Solve for a.
24a=-92
a=-3
Subsitute to in for b.
16(-3)+4b=-24
-48+4b=-24
4b=24
b=6
This means a=-3
b=6
So b-a is
6+3=9
