A parallelogram is made within the shape below by connecting the midpoints of the quadrilateral. Find the lengths of a and b
1 answer:
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Answer:
where
Step-by-step explanation:
Given that:
Amount of money to be donated by Gregory = $100
Amount of money to be donated for every book that a student will read = $15
The series becomes:
100, 115, 130, 145, 160, .....
To find:
The explicit formula to represent this problem situation.
Solution:
First of all, let us have a look at the difference of each term from its previous term.
Second term - First term = 115 - 100 = 15
Third term - Second term = 130 - 115 = 15
Fourth term - Third term = 145 - 130 = 15
The difference is same, therefore the given series is an Arithmetic Progression (AP).
We have to find the term of the given AP.
Formula for term:
is the first term and
is the common difference.
Here, = 115 (because $100 is the fixed amount so first term is taken as 115 when one book is read)
Putting the values, we get:
Therefore, formula to represent the situation is:
where
Answer:
The value of P (A ∩ B) is 0.25.
Step-by-step explanation:
Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.
For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:
It is provided that events <em>A</em> and <em>B </em>are independent of each other.
And P (A) = P (B) = 0.50.
Compute the value of P (A ∩ B) as follows:
Thus, the value of P (A ∩ B) is 0.25.