For the arithmetic sequence
a₁, a₂, a₃, ...,
The n-th term is
where d = common difference.
Because a₁₀ = 41,
a₁ + 9d = 41 (1)
Because a₁₅ = 61
a₁ + 14d = 61 (2)
Subtract (1) from (2).
5d = 20
d = 4
From (1), obtain
a₁ = 41 - 9*4 = 5
Therefore
a₃ = 5 + 2*4 = 13
Answer: a₃ = 13
Answer:
after 42 mm the next one is 63mm and after 198mm it is 946mm
Step-by-step explanation:
Answer:
The equation would be y = 3/2x + 3
Step-by-step explanation:
First we have to find the slope of the original line. We can do this by solving for y.
2x + 3y = 15
3y = -2x + 15
y = -2/3x + 5
Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 3 = 3/2(x + 4)
y + 3 = 3/2x + 6
y = 3/2x + 3
Answer:
The probability that the 2nd Heads occurred at the 4th toss is 5.99%.
Step-by-step explanation:
Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:
7 - 4 = 3
4/7 x 3/7 x 3/7 x 4/7 = X
0.571 x 0.428 x 0.428 x 0.571 = X
0.0599 = X
Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.
6 divided by 10
the fraction bar means divide
