Answer: 91. I find the easiest method for questions like this about ratios is to multiply the side of the ratio you are given a value for, in this case the right hand side (children), by a number so it equals the value given. This was 2x13 to equal 26. Then, to find the value of the other side, the adults, you must multiply the left hand side by the same number used on the right hand side. 7x13 equals 91.
Similar figures are figures of the same shape but different (or same) size.
Thus, they look the same, but one is bigger than the other by a scale factor.
Congruent figures are figures of the same shape AND same size.
They can be mapped onto each other using any type of transformation (besides dilations).
Similar figures can be dilated.
Answer:
- 1800 ; 4284.8579 ;
Step-by-step explanation:
Given the table :
Outcome _____ probability
-12000 ________ 0.15
__ 0 __________ 0.85
Expected loss, m: Σx*p(x)
(-12000 * 0.15) + (0 * 0.85)
-1800 + 0 = - 1800
Standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - m²
(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2
21,600,000 - 3240000
= 18360000
Standard deviation = sqrt(18360000)
Standard deviation = 4284.8579
Answer:
a. 24
b. 2
c. 0.0833 = 8.33%
Step-by-step explanation:
a.
The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.
So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive
b.
If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2
c.
If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%
