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Fittoniya [83]
3 years ago
9

A company manufactures CD drives that have a 1.6% chance of experiencing disc-read errors. If a CD drive is tested for 250 read

operations, the number of times it may fail is ? .
Mathematics
2 answers:
Digiron [165]3 years ago
4 0
1.6% of 250 = (1.6  *250) / 100  =  4 times
gregori [183]3 years ago
4 0

Answer:

The number of times CD drives may fail are 4 .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ values\times 100}{Total\ value}

As given

A company manufactures CD drives that have a 1.6% chance of experiencing disc-read errors.

If a CD drive is tested for 250 read operations .

Percentage = 1.6 %

Total value = 250

Put all the values in the formula

1.6= \frac{Part\ values\times 100}{250}

Part\ value= \frac{1.6\times 250}{100}

Part\ value= \frac{400}{100}

Part value = 4

Therefore the number of times CD drives may fail are 4 .

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Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each o
Andrew [12]

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

<h3>What is the margin of error for a z-distribution confidence interval?</h3>

It is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

M = 10, \sigma = 15.

Then, we solve for n to find the needed sample size.

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.645\frac{15}{\sqrt{n}}

10\sqrt{n} = 1.645 \times 15

\sqrt{n} = 1.645 \times 1.5

(\sqrt{n})^2 = (1.645 \times 1.5)^2

n = 6.1

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29
QveST [7]

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

8 0
3 years ago
Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a
grin007 [14]

Answer:

33.14\°

Step-by-step explanation:

Let

Y ----> field of vision that Yash's camera would need

we know that

Applying the law of sines

\frac{sin(Y)}{25}=\frac{sin(41\°)}{30}

Solve for sin(Y)

sin(Y)=\frac{sin(41\°)}{30}(25)

Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]

Y=33.14\°

8 0
3 years ago
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Y = x^2 - x + 6<br> y = x + 6
Montano1993 [528]

Answer:

Step-by-step explanation:

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Multiply. Write your answer in scientific notation.
makvit [3.9K]

Answer:

6×10

6 \times 10 {}^{2}

7 0
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