Answer:
Option B.
Step-by-step explanation:
In the given events lets find out the event that has a probability other than 1/2.
A. Flipping a coin gives result of head or tail, so the probability of the result of tails is 1/2.
B. Choosing a vowel from a bag of tiles that contains one of each letter of the alphabet, so the probability of choosing vowel is 5/26.
C. A cube that has numbered from 1 to 6, there are 3 even numbers and 3 odd numbers, so the probability of rolling even number is 3/6 or 1/2.
D. There is 26 red cards in a standard deck of 52 cards, so the probability of choosing red card is 26/52 or 1/2.
Therefore, events A, C and D gives result of 1/2 and B other than 1/2
So Option B is the correct answer.
If we use the width as x we have 2x with both widths and 4x with both lengths. So 6x=24 and x=4. So length is 8 and width is 4.
The number of permutations of 8 people taken 6 at a time is given by:
The roots of 5x² - 4x + 3 = 0 are non-real
Step-by-step explanation:
In the quadratic equation ax² + bx + c = 0, the discriminant is
b² - 4ac, where a , b , c are constant
- If b² - 4ac ≥ 0, then the roots of the equation are real
- If b² - 4ac < 0, then the roots of the equation are non-real
∵ The quadratic equation is 5x² - 4x + 3 = 0
∵ The general form of the quadratic equation is ax² + bx + c = 0
∴ a = 5
∴ b = -4
∴ c = 3
∵ The discriminant is b² - 4ac
- Substitute the value of a , b and c in the discriminant
∴ b² - 4ac = (-4)² - 4(5)(3)
∴ b² - 4ac = 16 - 60
∴ b² - 4ac = -44
∵ -44 < 0
∴ b² - 4ac < 0
∴ The roots of the equations are non-real
The roots of 5x² - 4x + 3 = 0 are non-real
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Answer:
B
Step-by-step explanation:
