Answer:
Since length and width are perpendicular, Doubling either one will double the area. So Doubling both will quadruple the area. 2x2 = 4.
This idea works if the dimensions doubled are those that are used to compute area. Like the base and height of a triangle.
More generally, in a polygon, if all the sides are doubled, the area is multiplied by 4. In a circle, Doubling the radius will quadruple the area.
In 3 dimensions, Doubling one dimension will double the VOLUME. Doubling two perpendicular dimensions will quadruple the volume and Doubling 3 perpendicular dimensions will multiply the volume by 2x2x2 or 8.
Step-by-step explanation:
plz make me brainy least
Answer:
infinity
Step-by-step explanation:
a) the expected value of this gamble in dollars is Infinity
i.e
expected value = 
= 
b)
When offered, most people say they would pay only less than $10 to play this game.
What are two reasons why people are willing to pay so much less than the expected value?
These people are ready to pay less than $10 to play this game due to the fact that people usually overlook the unlikely event when making decisions. In a bid to that logic, they gamble in order to double their amount of money and the probability that heads may never come is ignored by these people and they may hope for a likely event i.e a head every time they play the game.
Also, the expected value is so humongous that if and only if that the first head appears after a long series of tails which is very less certain to occur, because mostly people would think that on an average the length of a series of tails ( or heads) is somewhat near 10 or so, but definitely infinity.
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
I believe the answer is 16/9
You would equal the equations together then solve for a variable.
-4x - 3 = -2x + 1
-4x + 2x = 1 + 3
-2x = 4
—— —-
-2 -2
x = -2
then take that x value and substitute it into any one of the equations.
Equation #1
y = -4(-2) -3
= 8 - 3
= 5
Equation #2
y = -2(-2) + 1
= 4 + 1
= 5