Answer:
AD = 13
Step-by-step explanation:
Area of trapezoid ABCD
Answer:
a) 28,662 cm² max error
0,0111 relative error
b) 102,692 cm³ max error
0,004 relative error
Step-by-step explanation:
Length of cicumference is: 90 cm
L = 2*π*r
Applying differentiation on both sides f the equation
dL = 2*π* dr ⇒ dr = 0,5 / 2*π
dr = 1/4π
The equation for the volume of the sphere is
V(s) = 4/3*π*r³ and for the surface area is
S(s) = 4*π*r²
Differentiating
a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90
Then
dS(s) = 4*90 (1/4*π)
dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error
For relative error
DS´(s) = (90/π) / 4*π*r²
DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180
DS´(s) = 0,0111 cm²
b) V(s) = 4/3*π*r³
Differentiating we get:
DV(s) = 4*π*r² dr
Maximum error
DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²
DV(s) = 102,692 cm³ max error
Relative error
DV´(v) = (90)² / 8*π²/ 4/3*π*r³
DV´(v) = 1/240
DV´(v) = 0,004
Answer:
1/36) = 0.0277777777778
(1/108)^3 = 7.9383224102 x 10^-7
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778
(1/2)^5 = 0.03125
The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is . (1/6)^2
138 is the outlier since it is more than 1.5 * IQR past the third quartile of the data set.
With this upper outlier, the mean will be significantly higher. Without it, it will lower back down, so B is your answer
She earned $184 in interest
$644 In all
Here's why:
The formula is Interest = Principal x Rate x Time
I = 460 x 8% x 5 or I = 460 x 0.08 x 5. PEMDAS
460(0.08) = 36.8
I = 36.8 x 5
36.8 x 5 = 184
I = $184
To find them in all, add the original amount she deposited with the interest.
460 + 184 = 644
In all: $644
