Answer:
The correct answer is certain with probability equal to 1.
Step-by-step explanation:
Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.
We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.
Here the experiment is picking a blue card from a bag containing all blue cards.
Possible outcomes are all the cards colored blue in the bag.
Total outcomes are also all the blue cards in the bag.
∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.
Radius = OC = OD
Solve for x:
10x -16 = 6x+2
4x = 18
x = 9/2 = 4.5
Sub 'x' back into OC
OC = 6(4.5) + 2 = 29
Radius = 29
Step-by-step explanation:
(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)
1/(8x⁵y^-7) = y⁷/(8x⁵)
4x^-9y⁴ = 4y⁴/x⁹
so, the whole expression is then
y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹
4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)
so, D is the correct answer.
Answer:
x= -3 or 4/3
Step-by-step explanation:
3x²+5x-12 =0
3x²+9x-4x-12=0
3x(x+3) -4(x+3) =0
(3x-4)(x+3)=0
x=-3 or 4/3
Callum must buy one packet of dog food every 10 days