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Svetach [21]
3 years ago
13

Stainless steels are frequently used in chemical plants to handle corrosive fluids, however, these steels are especially suscept

ible to stress corrosion cracking in certain environments. In a sample of 295 steel alloy failures that occurred in oil refineries and petrochemical plants in Japan over the last 10 tears, 118 were caused by stress corrosion cracking and corrosion fatigue (Materials Performance, 1981). Construct a 95% confidence interval for the true proportion of alloy failures caused by stress corrosion cracking.
Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
6 0

Answer: 95% confidence interval would be (0.344,0.456).

Step-by-step explanation:

Since we have given that

n = 295

x = 118

so, \hat{p}=\dfrac{x}{n}=\dfrac{118}{295}=0.4

At 95% confidence, z = 1.96

So, margin of error would be

z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.4\times 0.6}{295}}\\\\=0.056

so, 95% confidence interval would be

\hat{p}\pm \text{margin of error}\\\\=0.4\pm 0.056\\\\=(0.4-0.056,0.4+0.056)\\\\ =(0.344,0.456)

Hence, 95% confidence interval would be (0.344,0.456).

12345 [234]3 years ago
4 0

Answer:

<h2>95% confidence interval would be (0.344,0.456).</h2>

Step-by-step explanation:

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As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 62 Second number:
polet [3.4K]

We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

In the fraction,

The first number = 62

The second number = 52

Let the number which can be multiply by the fraction = x

Since, The given condition is,

Multiply the first number by to get the second number.

So, We can formulate;

⇒ 62 × x = 52

Solve for x, as;

⇒ 62 × x = 52

⇒ 62x = 52

Divide by 62, we get;

⇒ x = 52 / 62

Multiply and divide by 2;

⇒ x = 26 / 31

Therefore,

We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.

Learn more about the fraction visit:

brainly.com/question/21428159

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1 year ago
Please answer this correctly without making mistakes or
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Answer:

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Step-by-step explanation:

4lb +3lb = 7lb

6oz +6oz = 12oz

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3 years ago
Find the length of side x in simplest radical form with a rational denominator.
konstantin123 [22]

Step-by-step explanation:

given length of hypotenuse, h=3 units.

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Answer:

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Step-by-step explanation:

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Help 30 points and i will mark brainliest for the best answer which will be more points
klasskru [66]

Answer:

See below

Step-by-step explanation:

From the table we see there is a relation between x and y values

Every step change of x = 0.5, every step change of y = 2

<u>This relation is linear. The formula for linear function is:</u>

  • y = mx + b

<u>Using to pairs of points to get the slope and y-intercept</u>

  • (0, 60) and (1, 64)

<u>Calculating the slope:</u>

  • m = (64 - 60)/(1 - 0) = 4/1 = 4
  • y - intercept is 60 as per point (0, 60)

<u>So the function is</u>

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<h3>Part A</h3>
  • Yes. Described above
<h3>Part B</h3>
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