Answer:
5 sides.
Step-by-step explanation:
Unlike a triangle, which is 180°, also equal to a straight line, the length is equal to 540°.
Answer:
y=17/5 ,x= 38
Step-by-step explanation:
-4+5y =13 add 4 both side
4-4+5y=13+4
5y=17
5y/5=17/5 y=17/5
x-5y=21
x-5(17/5)=21
x-17=21
x=21+17= 38
Answer:
2.) 145°
4.) 50°
Step-by-step explanation:
2.) First find the measure of Angle Y, since they are supplementary;
∠Z + ∠Y = 180
35 + ∠Y = 180
∠Y = 180 - 35
∠Y = 145°
So ∠X would be 145° as well
4.) First find the measure of Angle F, since they are supplementary;
∠C + ∠F = 180
130 + ∠F = 180
∠F = 180 -130
∠F = 50°
So ∠E would be 50°
(I didn't explain it much in detail, since this question is similar to the previous that i answered :)
Hope this 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
Answer:
71°
Step-by-step explanation:
95° + 14° = 109°
180° in a triangle
180° - 109° = 3rd angle = 71 °
