Answer:
The mean increases and the median changes to 4.
Step-by-step explanation:
To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.
Answer:
The equation of <em>Z</em> is: 
Step-by-step explanation:
- The first child is of age 1 year.
Then the amount invested for the 1-year old is: 
- The second child is of age 3 years.
Then the amount invested for the 3-year old is: 
- The third child is of age 6 years.
Then the amount invested for the 6-year old is: 
The one-time investment will be:
Answer:
The probability that a customer pays late each month is P(B) = 0.27
Step-by-step explanation:
Let P( A ) be the probability that the customer pays on time and the value is 0.55
Let P( B ) be the probability that a customer pays late each month
So
The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82
The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible
Now The probability that a customer pays late or on-time each month is mathematically represented as
P(A u B) = P(A) + P(B) - P(A n B)
=> 0.82 = 0.55 + P( B ) - 0
=> P(B) = 0.27
Answer:
- A(0) = 2; A'(t) = 6 - 0.08A(t)
- A(∞) = 75
Step-by-step explanation:
The initial value is said to be 2 pounds, so A(0) = 2.
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The influx is (1.5 #/gal)×(4 gal/min) = 6.0 #/min.
The outflow is (4 gal)/(50 gal) × A(t) = 0.08A(t).
The rate of change of A(t) is then ...
A'(t) = 6 - 0.08A(t)
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When the system reaches steady state, A'(t) = 0, so ...
0 = 6 - 0.08A(∞)
A(∞) = 6/0.08 = 75
75 pounds of salt will be in the tank after a long period.
