Answer:
Getting a heart = 1/4 or 0.25%
Getting a Queen = 4/52 or about 7.692%
Step-by-step explanation:
One-quarter of all cards in a deck are hearts, so the probability is 1/4, or 1 out of every 4 cards.
There are 4 queens in a deck of 52 cards, so the probability is 4/52, or 4 out of every 52 cards.
Answer:
7/12
Step-by-step explanation:
You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12
Answer:
No real solutions.
Step-by-step explanation:
x² + 3x + 3 = 0 This does not factor with integers, so I would use the quadratic formula.
Where ax² + bx + c = 0, x = { -b±√(b²-4ac) } / 2a
Here a =1, b = 3, and c = 3
x = { -3 ± √(3² - 4*1*3) } / 2*1
x = { -3 ± √(9-12) } / 2
x = { -3 ± √-3 } / 2
x = -3/2 + (√-3)/2 OR x = -3/2 - (√-3)/2
There are no real solutions, because √-3 is not a real number.
See the "b² - 4ac" part in the Quadratic Formula? Whenever that is negative, there are no real solutions, because you get a square root of a negative. <u>There are no square roots for negative numbers in the Real number system</u>.
I have included a graph in the xy-plane as a picture. See how the graph never touches the x-axis? That is another way for you to know there are no real solutions.
Hope this helps.
15% = 3/20
Therefore, 15% of 60 is:
3/20 * 60
= 180/20
= 9