Answer:
The probability of rolling a 3 is 1/6 because there's only one 3 out of the 6 options that are on a standard die.
The probability of rolling an odd number is 3/6 or 1/2 because 3 out of the 6 numbers on a standard die (1, 3, 5) are odd.
The probability of rolling a six or odd number is 4/6 or 2/3 because out of the 6 numbers on a standard die, there's one 6 and 3 odd numbers and 1 + 3 = 4.
Answer:
a(n)=60-30n
Step-by-step explanation:
Equation to use:
a(n) = a(1) + d(n-1)
where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.
In this case, a(1) is 30, d is -30, and n is just n.
If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.
Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.
The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
S = (30° / 360°) x 2 x π x (6 ft)
S = π
The angle intercepted an arc which measures π feet. The answer is letter A.
Answer:
All three operations lead to polynomials.
See explanations below.
Step-by-step explanation:
Polynomial a = 
Polynomial b = 
Therefore:
a + b = 
where we have combined all like terms. This is clearly another polynomial (of grade 2)
a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol):
which is clearly another polynomial (but of grade 3)
a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)
which is indeed another polynomial (this time of grade 6)
