2/4 is the larger fraction. Think of a candy bar that is cut into 4 equal pieces. Now think of the same sized candy bar cut into 6 pieces. The candy bar that has been cut into sixths has more pieces but they are smaller pieces that the candy bar cut into fourths.
**When comparing fractions, if the numerators are the same (like they are in this problem) look at the denominators. Whichever fraction has the greater number is actually going to be the smaller fraction (more pieces, but smaller pieces). If the denominators are the same, then the fraction that has the greater number in the numerator will be the larger fraction (more same-sized pieces than the other fraction)
Hope that helps!
Answer:
a) 0.3571 = 35.71% probability that the stock price will be more than $25.
b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Uniformly distributed between $16 and $30 per share.
This means that 
a) More than $25?
0.3571 = 35.71% probability that the stock price will be more than $25.
b) Less than or equal to $18?
0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0
Then the discriminant is Δ = b² - 4ac
2k² = 10k - 2 ( subtract 10k - 2 from both sides )
2k² - 10k + 2 = 0 ← in standard form
with a = 2, b = - 10 and c = 2, thus
b² - 4ac = (- 10)² - (4 × 2 × 2) = 100 - 16 = 84
