Step-by-step explanation:
As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.
=> (1/2)m = - 1
=> m = - 2
Thus, required line is
=> y - (-8) = (-2)(x - 3)
=> y + 8 = -2(x - 3)
Of the 20 sandwiches prepared by Ali, Ben and Carla, Ali made a total of A) two sandwiches
Information of the problem:
- Total of sandwiches: 20
- Ali = x
- Ben = 3x
- Carla = 2*(3x)
To solve this problem we have to state the equation using the information of the problem:
Total of sandwiches = Ali + Ben + Carla
20 = x + 3x + 2*(3x)
20 = x + 3x + 6x
20 = 10x
x = 20 / 10
x = 2
Substituting the (x) value into the information of the problem we get:
Ali = 2 sandwiches
Ben = 3*2 = 6 sandwiches
Carla = 2*(3*2) = 2*6 = 12 sandwiches
<h3>What is an equation?</h3>
An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607
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Answer: 45
Step-by-step explanation:
Since it's a sample size, we use x, as the mean and s= standard deviation
_
Given: x =27, s = 2 and total sample = 32.
Probability that a recruit is at least 31 years old?
Let's calculate the Z score :
_
X - x 31 - 27
Z = ----------- → Z = -------- → Z = 2 (now look up in the Z score table,
s 2
Area (Z=2) =0.9772 , but Z ≥ 2 (at least) , then :
Area (Z≥2) = Area (Z≤ - 2) = 0.0228
P(≥31)= 0.0228
Answer:
Option D does not represent the lengths of side of right angled ∆