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Answer:
x = -1
Step-by-step explanation:
First, we can translate this statement to the equation
Subtracting 4x from both sides gives us a quadratic equation:
From here, we can factor the expression on the right to give us the equation's two solutions. The factored form will look like
We need a + b = -4 and ab = -5, and picking a = 1 and b = -5 do the job there. Our expression factors then to (x + 1)(x - 5), giving us the equation
And the solutions x = -1 and x = 5. Since we're only looking for the negative solution, x = -1 is the one we want.
Given:
Slips of paper numbered 1 to 15 are placed in a box.
To find:
The probability that the number picked is either a multiple of 5 or an odd number.
Solution:
We have,
Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
No. of total outcomes = 15
Multiple of 5 are 5, 10, 15.
Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.
Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.
No. of favorable outcomes = 9
We know that,
Therefore, the probability that the number picked is either a multiple of 5 or an odd number is 0.6.