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docker41
3 days ago
15

A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition ac

curacy is 92% and trials are assumed to be independent.
(a) If the research team continues to run laboratory tests, what is the mean number of trials until failure?
(b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places.
(c) To improve the recognition algorithm, a chief engineer decides to collect 6 failures. How many trials are expected to be needed? Round your answer to one decimal place
Mathematics
1 answer:
Zina [3.9K]3 days ago
5 0

Answer:

a) The average number of trials until failure is calculated as 1/p = 1/(1-0.92) = 12.5

b)

Probability = (0.92)^9 * 0.08 = 0.6624

c)

The anticipated number of trials required = 6/0.08 = 75

Step-by-step explanation:

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Alan is conducting a survey to find out the type of art preferred by students in the town’s high school. Identify the population
Svet_ta [4321]

Response:

Alan's survey aims to determine the art preferences among students at the local high school.

To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.

Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.

This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.

Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.

8 0
4 days ago
Read 2 more answers
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
Zina [3914]

Answer:

Yes, the cost y in dollars and the quantity of yogurt x are indeed proportional.

The relationship can be expressed as: y=0.08x


Step-by-step explanation:

1. If y varies directly with x, it can be represented as:

y=kx

Here, k represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that y=2.56 and x=32, we have:

y=kx\\k=\frac{y}{x}\\k=\frac{2.56}{32}\\k=0.08

3. Thus, the equation becomes:

y=0.08x

4. Now, we need to verify proportionality. Substituting x=6, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

y=0.08(6)\\y=0.48

5. They are indeed directly proportional.

6 0
5 days ago
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Analia is a school district manager. Here are some details about two schools in her district for the last school year: School A
tester [3916]

Answer:

Step-by-step explanation:

For question 1, the result is calculated by dividing the percentage of students in the sports club by the SAT average, while for question 2, the answer is no since the definitions yield contrary outcomes.

4 0
16 days ago
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Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation
Leona [4166]

Answer:

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

Step-by-step breakdown:

Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.

50ft³ = volume

0.5ft³/min = flow rate

It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.

Time = volume / rate

Time = 50 ft³ / 0.5 ft³/min

Time = 50 / 0.5 min

Time = 100 min

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

7 0
13 days ago
Use this information to find the value of b.<br><br><br>c = 25<br><br>s = 9<br><br><br>b = 4c - s2
PIT_PIT [3919]
Greetings!

Let's rewrite the equation:
b = 4c - s².
Plug in your values:
b = 4(25) - (9)²
Now simplify:
4 times 25 equals 100
9 squared equals 81
So, b = 100 - 81
Calculate:
100 minus 81 equals 19
b is 19.

I hope this helps!
<span>Best of luck:) </span>

<span>- Hannah ❤</span>
3 0
2 days ago
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