Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
From the fact that the shape is a square, we know that one of the angles of the triangle in question must by 90 degrees (the lower left angle in this case).
The triangle formed is also an isosceles triangle and therefore the two smaller angles must be equal to each other. (upper left and lower right)
On top of this, we also know that the total of the angles must be 180 due to the fact that all triangles have interior angles that add to 180.
90 + (lower right) + (upper left) = 180
Since lower right and upper left are equal, we can use a single variable to represent them both.
90 + a + a = 180
90 + 2a = 180
2a = 90
a = 45
So, the degree of the lower right angle is 45. We can take this value and set 4x + 17 equal to it.
4x + 17 = 45
4x = 28
x = 7
Therefore, x is equal to 7.
Answer:
(x-1, y+6)
Step-by-step explanation:
It would change the x by -1 and the y by +6
Answer:
B. False
Step-by-step explanation:
A moderate positive correlation, e.g. r = 0.5 or 0.6, shows that there is some relationship between driving faster and accidents that result in more severe injuries. But that relationship is not very strong or solid and can result from other variables being involved or simply randomness. You cannot affirm that X causes Y if the correlation is not strong.
Renters must live by the landlord's rules or guidelines. For example, a renter may not be allowed to paint, hangs on the wall, put up decorations or have pets
