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ICE Princess25 [194]
3 years ago
11

A shipment of 20 DVDs has arrived at a video rental store. Based on past experience, the manager knows that 10% of all new DVDs

sent to the store have a visible defect. The manager tells you to begin inspecting the new DVDs one at a time at random until you find the first DVD that has a defect. If 10% of the DVDs have a visible defect in the new shipment, what is the probability that the first DVD that has a defect is the 3rd one that you inspect? (Round your answer to 3 decimal places.)
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

The probability is 0.081

Step-by-step explanation:

Here, we want to calculate the probability that the 3rd inspection will be defective.

What this means is that the first two would

not be defective.

Probability of having a defective DVD = 10% = 10/100 = 0.1

Probability of not having a defective DVD = 1 -0.1 = 0.9

So the probability of third being defective = Probability of first not defective * Probability of second not defective * Probability of third defective

= 0.9 * 0.9 * 0.1 = 0.081

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If the height and base of the parallelogram shown are each decreased by 2 cm what is the area of the new parallelogram
nika2105 [10]

Answer:

<u>complete question:</u>

If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?

A parallelogram with a base of 10 centimetres and a height of 8 centimetres

area = 48 cm²

Step-by-step explanation:

A parallelogram is quadrilateral with 4 sides formed by 2 pair of parallel lines. The area of a parallelogram is represented as follows :

area of parallelogram =  B × H

where

B = breadth

H = height

According to the question the height and the base each reduced by 2 cm.

The new base = 10 - 2 = 8 cm

The new height = 8 - 2 = 6 cm

area = B × H

area = 8 × 6

area = 48 cm²

5 0
3 years ago
In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a to
elixir [45]

Answer:

  1. $38,500
  2. $1,400

Step-by-step explanation:

1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.

As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.

Total revenue for 20 reports = $110,000

Revenue for 7 reports = 7/ 20 * 110,000

= $38,500

2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.

The costs of extraction and conversion of data for the year should therefore be;

= 7/20 * 4,000

= $1,400

7 0
3 years ago
What is the formula for the distance between a line and a point on a graph?
erma4kov [3.2K]
The length of the new line, between the given point and the newly-found intersection point, is the distance between the point and the original line. To find the distance, subtract the x and y values to get the x and y displacements. Therefore, there is no specific equation!
7 0
3 years ago
Read 2 more answers
Need help with this please
tester [92]

To find the area of the shaded region, we must first find the percentage that is shaded.

We understand that 140 degrees out of 360 degrees are unshaded, thus there are 220 degrees shaded.

Thus the percentage is equal to \frac{220}{360}

Area = \frac{220}{360} *\pi* 18^{2} = 198\pi square yards

Hope that helps!

3 0
3 years ago
I walked for 2 1/2 hours at 4km/h and for 4 hours at 2 1/2 km/h. What was the average speed for the entire journey?
Murrr4er [49]

Average speed of the entire journey is 3.08 km/hr

Step-by-step explanation:

  • Step 1: In the first half, given that the speed = 4 km/h and time = 2 1/2 = 2.5 hrs. Calculate the distance covered.

Distance = Speed × Time = 4 × 2.5 = 10 km

  • Step 2: In the second half, given that speed = 2 1/2 = 2.5 km/hr and time = 4 hrs. Calculate the distance covered.

Distance = 2.5 × 4 = 10 km

  • Step 3: Calculate average speed.

Average Speed = Total distance/Total time

                          = 10 + 10/2.5 + 4 = 20/6.5

                          = 3.08 km/hr

4 0
3 years ago
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