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Sunny_sXe [5.5K]
3 years ago
13

A firm buys components from two suppliers: 60 percent from supplier A and the rest from supplier B. It so happens that 9 percent

of the components from supplier A are defective and 15 percent of the components from supplier B are defective. (a) What is the probability that the next component the firm buys is defective? (b) What is the probability that the component that the firm buys is from supplier B if we know that it is defective?
Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

0.114,0.5263

Step-by-step explanation:

Given that a firm buys  components from two suppliers:

A : 60%  Defective 9%

B:40%  Defective 15%

a) the probability that the next component the firm buys is defective

=prob purchased from A and defective + prob purchased from B and defective

= 0.60(0.09)+0.40(0.15)\\= 0.054+0.06\\=0.114

b)  the probability that the component that the firm buys is from supplier B if we know that it is defective

=Prob from B and defective/Prob defective

= \frac{0.40(0.15)}{0.114} \\=0.5263

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Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

 In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

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Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

Area \ scale\ factor=k^2=6^2

Finally, evaluating, you get that this is:

Area \ scale\ factor=36

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Step-by-step explanation:

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2 years ago
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Johnny bought an oil painting originally priced at $80 but on sale for for 50% off. After 10% sales tax, what was the total cost
Alecsey [184]

Answer:

$44

Step-by-step explanation:

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The equation in slope intercept form is,31.25 = 1.25 \times 25 +0. The given equation is obtained by comparing the standard equation of the straight line.

<h3>What is a slope of a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The given equation is;

1.25 (25) = 31.25

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The standard equation of the slope intercept form. is;

\rm y = mx +x

On comparing the given equation with the above equation, we get;

y=31.25

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The equation in slope intercept form is;

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Hence, the above equation is the slope intercept form.

Learn more about the slope of the straight line;

brainly.com/question/3493733

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Step-by-step explanation:

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