Total outcomes of two rolled dice = 6 x 6 = 36
Possibilities for sum of 6 are 3 + 3, 4 + 2, 2 + 4, 5
+ 1, 1 + 5. So total possibilities for sum of 6 are five.
<span>Hence the probability for the sum of 6 = 5/36</span>
Answer:
43.20 for the total cost of the item
Answer:
The most correct option for the recursive expression of the geometric sequence is;
4. t₁ = 7 and tₙ = 2·tₙ₋₁, for n > 2
Step-by-step explanation:
The general form for the nth term of a geometric sequence, aₙ is given as follows;
aₙ = a₁·r⁽ⁿ⁻¹⁾
Where;
a₁ = The first term
r = The common ratio
n = The number of terms
The given geometric sequence is 7, 14, 28, 56, 112
The common ratio, r = 14/7 = 25/14 = 56/58 = 112/56 = 2
r = 2
Let, 't₁', represent the first term of the geometric sequence
Therefore, the nth term of the geometric sequence is presented as follows;
tₙ = t₁·r⁽ⁿ⁻¹⁾ = t₁·2⁽ⁿ⁻¹⁾
tₙ = t₁·2⁽ⁿ⁻¹⁾ = 2·t₁2⁽ⁿ⁻²⁾ = 2·tₙ₋₁
∴ tₙ = 2·tₙ₋₁, for n ≥ 2
Therefore, we have;
t₁ = 7 and tₙ = 2·tₙ₋₁, for n ≥ 2.
Answer:
2x + 9 with a remainder of 45.
Step-by-step explanation:
If the divisor is x-5, use the divisor 5 in synthetic div.
Taking the coefficients 2, -1 and 4 from the dividend, we get:
------------------
5 / 2 -1 4
10 45
--------------------
2 9 49
This tells us that the quotient is 2x + 9 and that the remainder is 49.
Answer:6
Step-by-step explanation:
2+2= 4+2 = 6
