Jim Jam
to me, darthnightcore0
0 minutes agoDetails
Answer:
angle LMN = 67.44°
Area of ΔMNL = 16.66 square units
Step-by-step explanation:
By applying Sine rule in the ΔLMN,
SinM =
SinM = 0.9235
M =
angle = 67.44°
angle of triangle = 180°
67.44 + 38 + angle = 180°
angle = 180 - 105.44
angle= 74.56°
Area of ΔMNL =
= 16.65636093
= 16.66 square units
Answer:
a) E(X) = 3.30
b) If these are the only two grades (A and B) available in the school, then this calculated expected value will truly be the expected GPA for each quarter or semester But, if like real life, there are other grades available at the school not included in this calculation, then this value seizes to be the expected value for the GPA over any time period.
Step-by-step explanation:
P(X=xᵢ) = pᵢ
For an A,
P(X=4.0) = 0.3
For a B
P(X=3.0) = 0.7
But E(X) = Σ xᵢpᵢ
E(X) = (0.3 × 4.0) + (0.7 × 3.0) = 3.30
b) If these are the only two grades available in the school, then this calculated expected value will truly be the expected GPA for each quarter or semester But, if like real life, there are other grades available at the school not included in this calculation, then this value seizes to be the expected value for the GPA over any time period.
The constant variation k is 12
To find the surface area of the rectangular prism, use the formula:
A=2(wl+hl+hw)
Note that: w = 4, l = 12, h = 3
plug into the equation
A = 2((4)(12) + (3)(12) + (3)(4))
Simplify
A = 2(48 + 36 + 12)
A = 2(96)
Multiply
A = 96 x 2
A = 192
192 m³ is the surface area of the rectangular prism.
hope this helps
Exact Form:
x=√7, −√7
Decimal Form:
x=2.64575131… ,−2.64575131…