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cluponka [151]
3 years ago
13

Rewrite the equation 5x – 8y + 3 = 5x – 7y + 2 into general form (ax + by + c = 0).

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

y-1=0

Step-by-step explanation:

To rewrite the equation 5x - 8y + 3 = 5x - 7y + 2, combine like terms across the equal sign using inverse operations.

5x - 8y + 3 = 5x - 7y + 2

5x - 5x - 8y + 3 = 5x - 5x -7y + 2

-8y + 3 = -7y + 2

-y +3 = 2

-y = -1

y- 1 = 0

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Veseljchak [2.6K]

Answer:

2.4

Step-by-step explanation:

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3 years ago
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
3 years ago
Parallelograms <br> please finish this off
seraphim [82]

Answer:

angle ABE = angle CDE because of the alternate interior angles theorem

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If 5,000 beef cattle were slaughtered in one day at Tyson Foods and the average animal weight was 1,350 lbs. How many pounds of
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Answer:

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Step-by-step explanation:

If the average animal weight is 1350 lbs and 5,000 beef are slaughtered in one day, the total amount for one day would be: (1350)(5000) = 6,750,000 lbs.

Now we need to multiply this number by five since we want to know the total of pounds of animals processed during 5 days.

6,750,000 (5) = 33,750,000 pounds of animals.

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How does one do this? I’ve tried and still can’t get it please help
professor190 [17]

Answer:

20

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m∠ACE = m∠ECB

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x = 20

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