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Gala2k [10]
3 years ago
6

In the cafeteria, 100 milk cartons were put out for breakfast. After breakfast there were 40 milk cartons left. What is the rati

o of milk cartons left over to milk cartons taken?
Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

1:4

Step-by-step explanation:

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An integer is chosen random between 1 to 100. find the probability that it is divisible by 8​
arlik [135]

Answer: 0.12

x is the number which is chosen

The number of ways to choose x from 1 to 100 is 100 (ways)

because x  is divisible by 8​ => x ∈ {8; 16;...; 96}

=>  the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12

the number of ways to choose x which is divisible by 8​ is 12 (ways)

=>  the probability that x is divisible by 8​ is 12/100 = 0.12

Step-by-step explanation:

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2,12,72,432 what defines the sequence
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Answer:

Multiply by 6 each time

Step-by-step explanation:

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Simplify the expression
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Answer:

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In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the enti
jekas [21]

Answer:

X \sim Hyp (N = 810, M=102, n=4)

P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}  

And solving we got:

P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Step-by-step explanation:

For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:

X \sim Hyp (N = 810, M=102, n=4)

P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}  

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes  

And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

P(X=0)

And using the probability mass function we got:

P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}  

And solving we got:

P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

6 0
3 years ago
Subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5
emmasim [6.3K]

- 1.3 is the number we get when we subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5. This can be obtained by finding sum separately and then subtracting them.

<h3>What is the required number:</h3>

Here in the question it is given that,

subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5

By separating them as two parts

  • sum of -5/6 and -1 3/5  
  • sum of 2 2/3 and -6 2/5

⇒ sum of -5/6 and -1 3/5  

- 5/6 + - 1 3/5 = - 5/6 + - 8/5  (∵ a b/c = (ac+b)/c(5+3)/5 = 8/5)

                      = (- 25 - 48)/30  (LCM = 30)

                      = - 73/30

⇒ sum of 2 2/3 and -6 2/5

2 2/3 + -6 2/5 = 8/3 + -32/5

                       = (40 - 96)/15  (LCM = 15)

                       = - 56/15

subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5

= (sum of 2 2/3 and -6 2/5) - (sum of -5/6 and -1 3/5)

= (- 56/15) - (- 73/30 )  

= - 56/15 + 73/30

= - 112/30 + 73/30   (LCM = 30)

= - 39/30

= - 13/10

= - 1.3

Hence - 1.3 is the number we get when we subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5.

Learn more about fractions here:

brainly.com/question/10354322

#SPJ1

6 0
2 years ago
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