For the first drawing, there are 30 tickets altogether, and Jason
has 10 of them. The probability that one of his tickets will win is
10 / 30 .
For the second drawing, there are 29 tickets altogether, and Jason
has 9 of them. The probability that one of his tickets will win is
9 / 29 .
For the third drawing, there are 28 tickets altogether, and Jason
has 8 of them. The probability that one of his tickets will win is
8 / 28 .
The probability that all three of these things will happen is
(10/30) x (9/29) x (8/28) = 720 / 24,360
= 6 / 203 = 2.96 percent (rounded)
Yes. 2/3 is greater than 2/5. You can check this by cross multiplication or easier just look at the denominator and numerator. In this case the numerator is the same so it's easier in a sense that you need to look at the denominator. Since the denominator 3 is close to the numerator 2 it shows that it's almost a whole unlike the other fraction. You can also convert each fraction to decimals and compare it which is also easy. Just divide the numerator by the denominator and you've got a decimal. Hope this helps!
The answer is 73, simple math
Answer:
y = ±√(x-16)
Step-by-step explanation:
To find the inverse of an equation, swap the x- and y-variables:
y = x² + 16
x = y² + 16
Then, solve for the y-variable:
x = y² + 16
y² = x - 16
y = ±√(x-16)
Answer:
To keep the same volume, the designer needs to decrease the height of the vase by 20%
Step-by-step explanation:
Volume of cylinder formula is 
Area of base is 
, if this area is increased by 25%, the new area of base would be:
Since volume would be same, we can make the height as:
Thus, we can see that the height needs to be divided by 1.25, which we can write in fractional form as:
Thus, height needs to be 
of original (or 80% of original)
