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3 years ago

System of Linear Equations

Mathematics

1 answer:

dedylja [7]3 years ago

8 0

Answer:

X=6

Y= - 1

Step-by-step explanation:

X-y =7

X+y =5 cross - y and y

_______

X+x =7 +5

2x= 12

X= 12/2

X= 6

Replace X in first equation:

X - y =7

6 - y =7

6 - 7 =y

y = - 1

Hope this helps you.. Good Luck!

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Y is between X and Z on a line. XZ = 15 and XY = 10. What is the length of YZ?

Mariulka [41]

Answer:

Step-by-step explanation:

if xz is 15 and xy is 10 then we can infer that z is 10 and x is 5

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3 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

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2 years ago

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Klio2033 [76]

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(2.2533/2.59)(10^8/10^4)

(0.87)(10^4) which is:

0.87X10^4 which is equal to:

0.87X10000 which is equal to:

8.7X1000 and since 1000=10^3 we can say:

8.7X10^3

6 0

2 years ago

7(8 + y) simplified?

Juli2301 [7.4K]

Factor out the equation

(7 x 8) + (7 x Y)

56 + 7y

3 0

2 years ago

2x-7/3-5x+4/5=-x-4/30

Strike441 [17]

Answer:

Exact form: -7/10

Decimal form: -0.7

Step-by-step explanation:

Isolate the variable by dividing each side by by factors that don't contain the variable.

5 0

2 years ago