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3 years ago

Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

Answer:

y = 3x + 3

Step-by-step explanation

Values on the y-axis are increasing by 3, while values on the x axis are increasing by 1, so the slope is 3/1 or just 3

To find b, you the slope, 3, from the 6. You also subtract 1 from 1 in the x-collum. You do this to find the y-intercept, or when x=0.

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With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

mrs_skeptik [129]

Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses 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 sucesses.

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.

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

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that $N = 2100, k = 60$

3 of these CDs are randomly selected for testing

This means that $n = 3$

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

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

$P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167$

0.9167 = 91.67% probability that the entire batch will be accepted

5 0

3 years ago

Please help...

alexandr402 [8]

Sure. From those choices, the only one that makes sense is that he
didn't perform enough trials. Technically, you can't expect the experimental
probability to match the theoretical probability until you've rolled it an infinite
number of times.

I have a hunch that even for only 60 trials, such a great discrepancy between
theory and experiment is beginning to suggest that the cubie is loaded. But
you really can't say. You just have to keep trying and watch how the numbers
add up.

3 0

3 years ago

F(-5) if(x) - 4x + 2

sashaice [31]

Answer:

Step-by-step explanation:

-4(-5)+2

20+2

3 0

3 years ago

Makaila read 44 pages of her book yesterday and 2/3 of the book today. If she read a total of 200 pages in the past two days how

pogonyaev

Answer:

Total number of pages in the book is 234.

Step-by-step explanation:

Let us assume that the total number of pages in the book = x

Now, it is given that Makaila read 44 pages yesterday.

Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of x number of pages today.

Number of pages read by Makaila today = $\frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{2x}{3}$