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3 years ago

Expand and simplify 3(2a+3b)+2(a+2b)

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

Answer:

6a+9b+2a+4b

6a+2a+9b+4b

8a+13b

ICE Princess25 [194]3 years ago

5 0

Answer:

8a+13b

Step-by-step explanation:

First start by multiplying the coefficient with the parantheses.

3(2a+3b)+2(a+2b)

6a+9b+2a+4b

8a+13b

This equation cannot be further simplified.

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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

Question 1(Multiple Choice Worth 4 points)

Anastaziya [24]

I don't think it's a proportional relationship because it doesn't go the origin...im not sure,Let me know

4 0

3 years ago

Read 2 more answers

in the xy-plane the graph of y=x^2 and the circle with center (0,1) ad radius 3 have how many points of intersection?

IceJOKER [234]

I think this attachment will help you

7 0

3 years ago

Calvin is painting an area that is 115 square feet. He is able to paint 2.5 square feet every 2 minutes. At this rate , how long

Verdich [7]

Answer:

Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Step-by-step explanation:

First of all we know that the total surface are that Calvin is painting is 115 square feet.

The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.

we can set up a relation to solve this problem

If Calvin paints $2.5 ft^{2}$ in 2 minutes

He will paint $115 ft^{2}$ in $x$ minutes

By cross multiplying, we have $x= \frac{2 \times 115}{2.5}=92 minutes$

Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

3 0

3 years ago

Assuming we have an upward-facing parabola describe the location of the vertex in relation to the x-axis (above, below, or on th

goldfiish [28.3K]

Answer:

a. Negative discriminant: above

b. Positive discriminant: below

c. Discriminant is zero: on

Step-by-step explanation:

If the discriminant is negative, then there are no real zeros. We have an upward-facing parabola, then the vertex is located above the x-axis

If the discriminant is positive, then there are two different real zeros. We have an upward-facing parabola, then the vertex is located below the x-axis

If the discriminant is zero, then there is one zero. We have an upward-facing parabola, then the vertex is located on the x-axis

4 0

3 years ago