Answer: A, Corresponding; Vertical
Step-by-step explanation: The answer for angles 1 and 5 are Corresponding Angles (Elevator Angles) and angles 1 and 4 are Vertical Angles.
All Angles besides a Linear Pair and Same-Side Interior Angle are Congruent.
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So

Probability a unit is defective and from manufacturer A:
2% of 43%. So

What is the probability that it came from manufacturer A?

0.5015 = 50.15% probability that it came from manufacturer A.
The equation that shows the relationship between x and y is:
y = 5x
A linear equation is in the form:
y = mx + b
where m is the rate of change and b is the initial value of y, y, x are variables.
Let x represent the number of nights knitting and y represent the length of the scarf.
The equation that shows the relationship between x and y is:
y = 5x
Find out more at: brainly.com/question/13911928
Answer:
40.
Step-by-step explanation:
That is 5 * 4 * 2
= 40 combinations of a set of bowl, cup and spoon.
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54