Answer:
P[X=3,Y=3] = 0.0416
Step-by-step explanation:
Solution:
- X is the RV denoting the no. of customers in line.
- Y is the sum of Customers C.
- Where no. of Customers C's to be summed is equal to the X value.
- Since both events are independent we have:
P[X=3,Y=3] = P[X=3]*P[Y=3/X=3]
P[X=3].P[Y=3/X=3] = P[X=3]*P[C1+C2+C3=3/X=3]
P[X=3]*P[C1+C2+C3=3/X=3] = P[X=3]*P[C1=1,C2=1,C3=1]
P[X=3]*P[C1=1,C2=1,C3=1] = P[X=3]*(P[C=1]^3)
- Thus, we have:
P[X=3,Y=3] = P[X=3]*(P[C=1]^3) = 0.25*(0.55)^3
P[X=3,Y=3] = 0.0416
Step-by-step explanation:
1. No: angles add to more than 180 deg.
2. Yes: each side's length is between the sum and difference of the lengths of the other two sides.
3. No: not every side's length is between the sum and difference of the lengths of the other two sides.
4. Yes: for example, place the 50 deg angle between the two given sides. Another side will then make the triangle.
5. Yes: for example, use 3 cm as the short leg in a 30-60-90 right triangle.
Answer:
UNITED STATES ITALY DEM. REP. CONGO
Population mid-2008 305 million 60 million 67 million
Population 2050 (projected) 438 million 62 million 189 million
Lifetime births per woman 2.1 1.3 6.5
Percent of population below age 15 20% 14% 47%
Percent of population ages 65+ 13% 20% 3%
Life expectancy at birth 78 years 81 years 53 years
Annual births 4.3 million 568,120 2.9 million
Annual deaths 2.4 million 575,300 0.8 million
Annual births minus deaths 1.9 million -7,200 2.1 million
Percent of population undernourished <2.5% <2.5% 74% hope this helps!
Answer:
It’s the last one
Step-by-step explanation:
You can see on the graph
Answer:
Reflective symmetry over the line y = 4 is No
Reflective symmetry over the line y = 1/7x + 3 is Yes