The probability of rolling an odd number or a number less than 5 is 5/6.
Probability is the likelihood of the occurrence of an event. It is the ratio of number of events to number of possible outcomes.
The possible outcome from rolling a six-sided die is 1, 2, 3, 4, 5 and 6
P(odd number) = 3/6; P(less than 5) = 4/6; P(odd number and less than 5) = 2/6
Hence:
P(odd number or less than 5) = 3/6 + 4/6 - 2/6 = 5/6
The probability of rolling an odd number or a number less than 5 is 5/6.
Answer:
All of the options when substituted for b will make the root of b irrational
Step-by-step explanation:
Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers
For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.
So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares
Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Answer:
12
Step-by-step explanation:
The term to term rule is multiplying by 4 and if we continue doing this, we will move towards very large positive numbers.
This sequence, therefore, diverges to infinity
