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denis23 [38]
2 years ago
6

The diameter of a circle is 20 cm. Find its area in terms of \piπ

Mathematics
1 answer:
Dominik [7]2 years ago
8 0

Answer:

Step-by-step explanation:

Diameter = 20 cm

Radius = r = 20 ÷ 2 = 10 cm

\boxed{\text{Area of circle =$\pi r^{2}$   }}

                      = π *10 * 10

                     = 100π cm²

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At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
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Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 7 parts

            r = number of success = fewer than 2

           p = probability of success which in our question is % of defective

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

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                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

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<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

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