What is the solution to this system of equations?
1 answer:
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The mother is older than her daughter by years
Step-by-step explanation:
Mother is m years old, and she is four times as old as her daughter.
we need to find how much older the mother is than her daughter
- Put the age of mother equal 4 times the age of daughter
- Find the age of daughter
- Subtract the age of daughter from the age of mother to find how much older the mother than her daughter
∵ The mother's age = m
∵ Her age is four times as old as her daughter
∴ m = 4 × daughter's age
- Divide both sides by 4
∴ = daughter's age
- Subtract the daughter's age from her mother's age
∵ The difference of their ages = m -
- Change 1 m to a fraction of denominator 4, then 1 m =
∴ The difference between their ages = -
=
∴ The mother is older than her daughter by years
The mother is older than her daughter by years
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Answer:
C.The probabilities are equal.
The above statement is the only TRUE statement.
Step-by-step explanation:
Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}
So, number of total outcomes = 10
Let E : Event of spinner landing on 3
and E' : Even of spinner landing on 4
{Probability of Event E} =
⇒ P( landing on 3 ) = 1/10
and
P( landing on 4 ) = 1/10
Now, the given statements are
A.The probability of landing on 3 is less than probability of landing on 4.
FALSE, as both the probabilities are equal to 1/10.
B.The probability of landing on 3 is greater than probability of landing on 4.
FALSE, as both have same probabilities.
C.The probabilities are equal.
TRUE, both have same probability = 1/10
D.The probabilities cannot be predicted
FALSE, the probability are predictable.