Answer:
The original number could be 85.
Step-by-step explanation:
Let the 2 digits be x and y.
Let the number be xy then, assuming that x is the larger digit:
x - y = 3.
x = y + 3
Also
10y + x + 10x + y = 143
Substituting for x:
10y + y + 3 + 10(y + 3) + y = 143
22y + 33 = 143
22y = 110
y = 5.
So x = y + 3 = 8.
<u>Answer:
</u>
The probability of rolling a number greater than 4 or less than 3 is 
<u>Solution:
</u>
In the given question there are two events as follows:
(a) Rolling a number greater than 4 i.e. A = {5,6}
(b) Rolling a number less than 3 i.e. B = {1,2}
Since a die has 6 numbers,
P(A) =
where P(A) is the probability of occurrence of event A and P(B) = 
Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.
P(A∪B) = P(A) + P(B)



Therefore the probability of getting a number greater than 4 or less than 3 is 
Answer:
SE = 0.025
Step-by-step explanation:
We are given;
Sample mean; x¯ = 14.52
Sample standard deviation; s = 0.075
Sample size; n = 9
Now,formula for standard error of sample mean is;
SE = s/√n
SE = 0.075/√9
SE = 0.075/3
SE = 0.025
Answer:
4 brothers and 3 sisters
Step-by-step explanation:
Let x be the number of brothers and y be the number of sisters in the family.
1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

3. Solve the system of two equations:

Then
