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nikklg [1K]
3 years ago
12

A manufacturing firm just received a shipment of 20 assembly parts, of slightly varied sizes, from a vendor. The manager knows t

hat there are only 15 parts in the shipment that would be suitable. He examines these parts one at a time. a. Find the probability that the first part is suitable. (Round your answer to 2 decimal places.) Probability b. If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.) Probability c. If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 decimal places.) Probability
Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

a. 0.75

b. 0.5526

c.  0.1974

Step-by-step explanation:

Probability is typically expressed as a fraction where the numerator is the number of desired outcomes and the denominator is the total number of outcomes. In this case the suitable parts is the desired outcome and the total shipment is the total parts:

\frac{suitable}{total}=\frac{15}{20}=\frac{3}{4}=0.75

The probability the both the first and second part are suitable:

\frac{15}{20}*\frac{14}{19}=\frac{210}{380}=0.5526

Since the probability of getting a suitable part the first time is 15/20, then there is one less suitable part and one less part overall to choose on the second time, or 14/19.

Lastly, the probability of choosing a suitable part the first time is again 15/20, but the second part not being suitable would be 5/19:

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sammy [17]
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7 0
3 years ago
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
Bess [88]

Answer:

Q1 1000     1

    3500    3.5

   500       .5

   75   .075

   1        .001

   x       1/1000x or .001x        Q2    Y=  1/1000x

Step-by-step explanation:

just search up 1000 meters to 1 kilometer and go from there :)  

4 0
3 years ago
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
Helpppppppppppppppppp
makvit [3.9K]

Answer:

c. 25

Step-by-step explanation:

100/12 = 8.3

8.3 × 3 = 24.9

rounded up is 25

6 0
3 years ago
International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50
Tanya [424]
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Therefore, 44.12% of the total sales will be cherry.
8 0
3 years ago
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