Answer:
A to B = 2000 m/s
C to D = 30,000m/s
Step-by-step explanation:
A to B is 10secs and the distance is 200m so you multiply them and you get 2000m/s
C to D is 60secs and the distance is 500m so you multiply and you get 30,000m/s
Answer:
d. 9 integers
Step-by-step explanation:
Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.
We are to find relatively prime with 28 which are greater than 10 and less than 30
We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30
To be relatively prime with 28, common factors should be only 1.
28 = 2x2x 7. Hence the numbers which do not have factors as 2 or 7 will be relatively prime. Remove all the even numbers from the list.
We have 11,13,15....29.
Of these 21 is the multiple of 7 so remove that.
Thus we have now 11,13,15,17,19,23,25,27,29
9 integers
d. 9 integers
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:
$5 per hour
Step-by-step explanation:
Just divide the amount that he earns by the price.
25/5=5
50/10=5
Brett is making $5 an hour.
Answer:
V = 8/125 cubic units
Step-by-step explanation:
This prism is actually a cube of side length 2/5.
The volume of a cube of side length s is V = s^3.
Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or
V = 8/125 cubic units