Answer:
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Step-by-step explanation:
Answer:
The correct option is C.
Step-by-step explanation:
In a triangle, then sum of two smaller sides is greater than the length of third greatest side.
Let, in a triangle ABC, If the length of sides are
, then

In option A,

Therefore option A is incorrect.
In option B,

Therefore option B is incorrect.
In option C,

Therefore option C is correct.
In option D,

Therefore option D is incorrect.
Answer:
150°
Step-by-step explanation:
It is given that CosФ < 0 i.e CosФ is negative.
Therefore, the minimum the value of Ф for which CosФ <0 will be in the second quadrant i.e 90° < Ф < 180°.
Now it is also given that, Sin Ф =0.5 {the value of SinФ is positive because Sin value is positive in second quadrant.}
⇒ Ф =180° - Sin⁻¹ (0.5) = 180°-30° =150° (Answer)
The answer will stay the same because you can't combine like terms.
Also I don't think it is Order of Ops because it doesn't have any exponets, etc.
~JZ
Hope it helps
Answer:
a) b) the standard deviation and the mean is affected by the conversion factor as well
c) the mean is displaced by b units
Step-by-step explanation:
for a new variable
Y=a*X , where a= constant (conversion factor= 1 kg/2.2 pounds)
then
p(y)= p(a*X) = p(X)
a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)
mean =μ=a*μₓ
b) σ² = ∑ (Y-μ)²* p(y) = ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²
then
standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ
standard deviation = σ= a*σₓ
then the standard deviation and the mean is affected by the conversion factor as well
c) nevertheless for a displacement b
Y₂=X + b (b= constant= 50 gr)
p(Y₂)= p(X + b) = p(X)
then
mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -
mean =μ=μₓ - b
then the mean is displaced by b units