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3 years ago

The length of the titanic was 882 feet. Porter's history class is building a model if th titanic. The model is 1

Mathematics

2 answers:

Artemon [7]3 years ago

6 0

The model size would be 8.82 feet I think

mojhsa [17]3 years ago

3 0

The model size would be 8.82 because 882 divided by 100 is 8.82

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The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development

Ann [662]

Answer:

Part A:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

P(X=15)=0.17456

Part D:

P(X≥15)=0.80417

Part E:

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

Step-by-step explanation:

Part A:

Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks

It means:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

x=15

$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

By solving above Expression:

P(X=15)=0.17456

Part D:

P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)

$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

P(X=15)=0.17456

$P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819$

$P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536$

$P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153$

Now, Adding Probabilities:

$P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\$

P(X≥15)=0.80417

Part E:

Mean Distribution:

E(x)=n*p

E(x)=20*0.8

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

6 0

2 years ago

Dave has 25 3/4 feet of piping and needs to cut it in 1 1/2 foot measurements for a project. How many pieces of piping will he e

Ostrovityanka [42]

Answer: 17 1/6 or 17-18

(u guess which is right if its an integer ^^)

Step-by-step explanation:

25 3/4 ÷ 1 1/2

First change the mixed fractions to improper fractions.

25 3/4 = 103/4

1 1/2 = 3/2

Now divide: 103/4 ÷ 3/2

103/4 * 2/3 (multiply by flipping the second fraction)

= 206/12

Now divide: 206 ÷ 12

= 17 2/12 (simplified: 17 1/6)

The answer will be 17 1/6 (OR 17-18)

5 0

1 year ago