P(X<=x) = 1 + 5.486 = 6.486
The z-score of the information given is,
z = (x - µ )/ σ
Where,
µ = mean
σ = standard deviation
From the information given,
x = 3.71
µ = 86
σ = √225 = 15
hence,
z = (3.71 - 86)/15 = -5.486
thus,
P(X<=x) = 1 + 5.486 = 6.486
hence , P(X<=x) = 1 + 5.486 = 6.486
Learn more about variance here brainly.com/question/9304306
#SPJ4
67.65 + 57.93 = 125.58
200.00 - 125.58 = $74.42 change back
The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
#LearnwithBrainly
Answer:
65 degrees
Step-by-step explanation:
65 degrees
it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees
Answer:
d
Step-by-step explanation:
