Answer:
Mark is 18; his mother is 42.
Step-by-step explanation:
In 6 years, 12 years will be added to the total of their ages, so it will be 72. Since this is the total of Mark's age and twice Mark's age, his age at that time will be 72/3 = 24. His mother will be 48 at that time.
Now, they are 6 years younger than that, so they are 18 and 42.
Answer:
The mean is equal to the median, so the data is symmetrical
Step-by-step explanation:
Here is the data.
10 5 8 10 12 6
8 10 15 6 12 18
The given data: 10 5 8 10 12 6 8 10 15 6 12 18
For finding the Mean, we will have to add all numbers together and divide it by total number. i.e sum of terms divided by number of terms
Mean= 10+5+8+10+12+6+8+10+15+6+12+18 ÷ 12
Mean = 120 ÷ 12 = 10
For finding the Median, first we need to rearrange the data in ascending order
5 6 6 8 8 10 10 10 12 12 15 18
We can see that the middle values are 10 and 10. So, the median will be the average of those two middle values.
Median = 10+10 ÷ 2
Median = 20 ÷ 2 = 10
From the calculation, we can see that both the median and mean are equal so, the data is symmetrical
Answer: 4/9
Step-by-step explanation:
The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)
Pt = Po+Pi
Since the total number of birds in the right pond is 10 after the addition of one by john
Po= 4/10
Pi= the of john adding a duck × the probability of annie picking the added bird
Pi= 4/9 × 1/10
Pi = 4/90
Pt= 4/10 + 4/90
Pt = (36+4)/90
Pt=40/90
Pt= 4/9
(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)
Thanks.
Answer:
Parallel
Step-by-step explanation:
When rounded off then it comes
382.2-297.3=84.9