One day I asked the son of my close friend his age the child replied in a different way he said one year ago my dad was 8 times
1 answer:
Answer:
Step-by-step explanation:
Let the boy's present age be x.
Let his dad's present name be y.
Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:
(y - 1) = 8(x - 1) ______ (1)
Now, his dad's age is the square of his age:
y = _________(2)
From (1):
y = 8x - 8 + 1
y = 8x -7
Put this in (2):
This problem has been represented in the form of a quadratic equation.
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Answer:
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by .
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
Next, we list out the sample space of F
In (1): the sample space of E is:
So:
In (2): the sample space of F is:
So:
For E and F to be independent:
Substitute values for P(E) and P(F)
This gives:
However, the actual value of P(E and F) is 0.
This is so because and
have 0 common elements:
So:
Compare and
.
These values are not equal.
Hence: the two events are not independent