On a class test, Lesley scored 4.5 points more than her friend Cathy. Lesley scored 81.5 points. Cathy's score, x, can be found
1 answer:
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Answer:
<h2>The answer is 0.23(approx).</h2>Step-by-step explanation:
The given die is a three sided die, hence, there are only three possibilities of getting the outcomes.
We need to find the probability of getting exactly 3s as the result.
From the sequence of 6 independent rolls, 2 rolls can be chosen in ways.
The probability of getting two 3 as outcome is .
In the rest of the 4 sequences, will not be any 3 as outcome.
Probability of not getting a outcome rather than 3 is .
Hence, the required probability is ≅0.2966 or, 0.23.
Answer:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
Step-by-step explanation:
Geometrically speaking, the perimeter of a rectangle () is:
(1)
Where:
- Base of the rectangle.
- Height of the rectangle.
Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:
If we know that and
, then the height of the rectangle is:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
