Answer:
No
Step-by-step explanation:
It would take 1 painter 32 hours to paint a house (because 4*8=32). If we divide 32 by 12 we get 3, so no, it is not a direct variation because if it was it would only take 3 hours for the 12 painters to paint the house.
Answer:
relationship between hypotenuse and perpendicular is given by sin angle
sin60=p/h
√3/2=a/16
√3/2×16=a
8√3=a
option C is your answer
The answer is -16 your welcome
This item can be solved by the probability theorem called Bayes' theorem which states that the probability of event A occurring given event B is equal to,
P(A/B) = P(A)P(B/A) / P(B)
where P(B/A) is the probability that the test will yield positive if the person has the disease. P(A) is the probability will be present in any particular person which is equal to 0.04.
P(B) is the probability of positive result irrespective of whether the disease is present of not is calculated below.
P(B) = (0.94)x (0.04) + (0.06)(0.96) = 0.0952
Now, solving for P(A/B)
P(A/B) = (0.94)(0.04) / 0.0952 = 0.039
Thus, the answer is approximately 4%.
Answer:
21
Step-by-step explanation:
There are two parallel lines given.
Two transversals cut them.
Here m and n are parallel.
Two transversals cut them so that a triangle is formed.
Let us use the property that sum of angles of a triangle = 180
Bottom angle of triangle = 39 (vertically opposite angles)
Top left angle = 4x+3 (vertically opposite angles)
Top right angle = 180-6x (linear pair property)
Now add these 3 and equate to 180
39+4x+3+180-6x = 180
2x = 42
Or x = 21
