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1 year ago

If x is directly proportional to to y and x= 200 and y=3 find x when y=5

Mathematics

1 answer:

Amiraneli [1.4K]1 year ago

3 0

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

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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.

6 0

2 years ago

What is 2(9)0-7+3 to the 3rd power

RSB [31]

Answer:

I got -64

Step-by-step explanation:

The begging multiplication is 0 and subtract -7 is becomes just -7 then add 3 and it is -4 to the third power is -64

8 0

2 years ago

Part B

vodomira [7]

Cisnero discusses writing three stories in one weekend at Iowa, which later connects with friends workshopping stories in her apartment, to show readers how dedicated she has become to her craft. In this way, she creates the effects of a foreshadowing.

<h3>What is foreshadowing?</h3>

In literature, foreshadowing refers to the subtle reference to an event that is yet to occur.

Foreshadowing could occur or be deployed in several ways. Some of them are: