Step-by-step explanation:
Did you mean
Evaluate 3/2 + (-k) + (-2) where k = -5/2
= 3/2 - (-5/2) - 2
= 3/2 + 5/2 - 2
= 8/2 - 2
= 4 - 2
= 2
Answer:
y = 13
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, y)
d =
, that is
d =
= 10
= 10 ← square both sides
64 + (y - 7)² = 100 ( subtract 64 from both sides )
(y - 7)² = 36 ← take the square root of both sides
y - 7 = 6 ( add 7 to both sides )
y = 13
Answer: 0.2
Step-by-step explanation:
Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).
∴ The probability density function of X will be :-
Thus, the required probability :-

Hence, the probability that the commuting time will be less than 44 minutes= 0.2
Answer:
3) 5
5) 1
Step-by-step explanation:
substitute the value of 9 for each 'x' in the expression
3) h(9) = 2/3(9) - 1
= 18/3 - 1
= 6-1 or 5
substitute the value of 5 for each 'x' in the expression
5) f(5) = -5² + 6(5) - 4
= -25 + 30 - 4
= 5-4 or 1
34) (t-4)+(-4t+1)
Answer: -3t-3
36) 3(x^3-3x^2)+2
Answer: 3x^3-9x^2+2
38) (3x-1)(x^3-2-2x)
Answer: 3x^4-x^3-6x^2-4x+2