Answer:
Step-by-step explanation:
If J can paint a room in 3 hours, in 1 hour she gets 
of the job done.
If A can paint a room in 4 hours, in 1 hour she gets 
of the job done. We need to find out how long it takes them if they paint together. The equation for this is:
where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get
4x + 3x = 12 so
7x = 12 and
x = 1.7 hours to get the room painted together.
Rotated: The figure can be rotated 2 times. Angle of Rotation: 180
∘
I believe the greatest common divisor would be 6.
hope this helps you! :-)
Answer:
1.(b)
2.(b)
3. (d) 4cm
4.(a)
Explanation :
The polygons will have the same shape and size, but one may be a rotated, or be the mirror image of the other.Polygons are congruent when they have the same number of sides, and all corresponding sides and interior angles are congruent.
Answer:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:
Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:
And replacing we got:
Now we can find the second moment given by:
And replacing we got:
And the variance would be given by:
And the deviation would be:
