Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
Answer:
then value is 0.0228
Step-by-step explanation:
Maximum weight capacity= Y1
Elevator's loaf = Y2
probability that is overloaded :
P(Y2 > Y1)
TakingP( Y2 - Y1) > 0
E[Y1 - Y2 ] = 500 - 4000 = 1000
P( Y2 > Y1) = P( Y2 - Y1 > 0 ) = P( Y1 - Y2 < 0 ) ;
E[Y1 - Y2] = 500-4000 = 1000
P (Y2 > Y1 )
then
P (Y1 - Y2 < 0)
P((Y1-Y2)-1000)/50 = (0-1000/500)
P((Y1 - Y2 ) - 2)
then value is 0.0228
Answer:
Mike will only need 42 quarters to make 10.50
Step-by-step explanation:
A^2 + b^2 = c^2
7^2 + 4^2 = 65
square root of 65 is 8.06
answer: 8.06