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Alika [10]
3 years ago
5

Select the expression equivalent to (-2x + 8.1y) - (-9x + 5.3y).

Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0
ANSWER
D.) 7x+2.8y

Hope this helped!
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Records indicate that for parts coming out a hydraulic repair shop at an airplane rework facility, 30\% will have a shaft defect
mrs_skeptik [129]

Answer:

P(A|B) = P(A∩B)/P(B) = 100%

Which means that there is 100% probability that the item has at least one type of defect given that the item has only a shaft defect.

Step-by-step explanation:

Conditional probability P(A|B) can be expressed as;

P(A|B) = P(A∩B)/P(B) .....1

Given;

30% will have a shaft defect,

15% will have a bushing defect,

and 65% will be defect-free

Total probability = 100% = P(shaft or/and bushing defect) + P(defect free)

P(shaft or/and bushing defect) = 100% - P(defect free)

= 100% - 65% = 35%

And

P(shaft or/and bushing defect) = P(shaft def only) + P(bushing def only) + P(shaft and bushing defect)

P(shaft or/and bushing defect) = P(shaft defect) + P(bushing defect) - P(shaft and bushing defect)

Substituting the values we have;

35% = 30% + 15% - P(shaft and bushing defect)

P(shaft and bushing defect) = 45% - 35% = 10%

Let A="The item has at least one type of defect"; and B="The item has only a shaft defect".

P(A) = P(shaft or/and bushing defect) = 35%

P(B) = P(shaft only defect) = 30% - 10% = 20%

P(A∩B) = 20%

Substituting into equation 1

P(A|B) = P(A∩B)/P(B) = 20%/20%

P(A|B) = 1/1 = 100%

Which means that there is 100% probability that the item has at least one type of defect given that the item has only a shaft defect.

5 0
3 years ago
Someone Please Help Me On This
luda_lava [24]
1) 18
2) 4
3) 27
4) 9
5) x=8
6) x=6
8 0
2 years ago
The angles in a triangle are such that one angle is 120 degrees more than the smallest angle, while the third angle is 3 times a
Westkost [7]

Answer:

a = 132; b = 12; c = 36

Step-by-step explanation:

a = b + 120

b = b

c = 3b

a + b + c = 180

(substitute these into the above equation)

b + 120   + b    + 3b  = 180

5b + 120 = 180

       -120    -120

5b = 60

/5     /5

b = 12

(substitute b back into the first equations)

a = (12) + 120 = 132

b = (12)

c = 3(12) = 36

(check: 132 + 12 + 36 = 180)

7 0
3 years ago
Evaluate: <br> 0.3 to the power of 3
yulyashka [42]

Answer:

0.027

Step-by-step explanation:

0.3^3=0.3*0.3*0.3=0.027

3 0
3 years ago
Read 2 more answers
Why cant you see the far side of the moon from earth
marysya [2.9K]

Answer:

C

Step-by-step explanation:


5 0
2 years ago
Read 2 more answers
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