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Paha777 [63]
3 years ago
7

In a batch of 440 water purifiers, 8 were found to be defective. What is the probability that a water purifier chosen at random

will be defective?
Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

55

Step-by-step explanation:

440/8

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The results of rolling a 6-sided die 120 times are given in the table below.
Bas_tet [7]

Step-by-step explanation:

According to the results of rolling a 6-sided die 120 times, we have:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

Step-by-step explanation:

1. First of all, let's recall what is the difference between experimental and theoretical probability of an event.

The experimental probability is the result of an experiment, and the theoretical probability is based on the mathematical model developed in the theory of probability.  In simple words, the most important difference is that the experimental probability is based on what actually happens and the theoretical probability on what is expected to happen.

The accuracy of the results of the experiments depends directly on the sample size of the experiment and the accuracy is greater when the sample size is larger.

For this particular event the theoretical probability is the same for rolling each number of the die, 1/6 or 16.67%

Now, let's complete the answer this way:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

5 0
2 years ago
Lucy was playing a card with two friends. They were playing with a deck of 21 cards. Lucy dealt 1/3 of the deck to each person.
Rama09 [41]
If each of them got 1/3 of the deck then they would each get 7 cards
8 0
3 years ago
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A line passes through the points (2, -2) and (-6.2), The point (a, -4) is also on the line. What is the value of a?
balu736 [363]

Answer:

It's is a negative one ( -1 )

Step-by-step explanation:

The explanation is in the question, if you draw the line you will see it.

5 0
2 years ago
How do you change 15/4 into a decimal
Tomtit [17]

Answer:3.75

Step-by-step explanation:

just divide

6 0
3 years ago
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Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5
Studentka2010 [4]

Answer:

Actual length of the Bridge = 8983.33 feet.

Step-by-step explanation:

The scale is 1 unit = 19,600.

Height of the postcard is 3.5 inches.

So, original height of the bridge = 3.5 × 19,600 = 68,600 inches

= 5716.67 feet

Width of the postcard is 5.5 inches.

So, original width of the bridge = 5.5 × 19,600 = 107,800 inches

= 8983.33 feet


8 0
3 years ago
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