Answer:
Step-by-step explanation:
Hello!
To know what will be the resulting E(X) and V(X) of the total volume shipped, you have to add the three variables.
According to the properties of the E(X) The expected value of two variables or more independent variables is equal to the addition of the expected values of each variable: X+Y⇒ E(X+Y)= E(X) + E(Y)
In this case:
E(X₁+X₂+X₃)= E(X₁)+E(X₂)+E(X₃)= 200 + 240 + 120= 560 ft³
The same happens with the variance, if you add two independent variables, the variance of the resulting variable will be equal to the addition of the variance of each variable: X+Y ⇒ V(X+Y)= V(X)+V(Y)
In this case:
V(X₁+X₂+X₃)= V(X₁)+V(X₂)+V(X₃)= 10+13+8= 31
I hope it helps!
Answer:
hey sis can u join my zo om lol
Step-by-step explanation:
x = 160 gal
y = 80 gal
160 gallons of water and 80 gallons of premium antifreeze solution must be mixed.
Step-by-step explanation:
a) The circumference of a circle is 360 degrees. so:
7x+15+8x+6x+30=360
21x+45=315
21x=135
x=<u>15</u>
b) This means 7(15)+15=120, 8(15)=120, and 6(15)+30=120. Thus, by the inscribed angle theorem, all the angles measure 60 degrees, and the triangle is thus <u>equilateral</u> and <u>isosceles</u>.
Answer:
Step-by-step explanation:
Given: Perimeter of base of a pyramid = 12.8 m
Height of the pyramid = 12.5 m
To find: volume of a pyramid
Solution:
Perimeter of base of a pyramid = 12.8 m
As base of the pyramid is a square,
12.8 = 
side of a square = 
Area of a square (A) = 
Height of the pyramid (h) = 12.5 m
Volume of the pyramid = 
