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2 years ago

How do I use the subtraction theorem to write equivalent expressions?

1 answer:

3 0

The subtraction theorem states that for all real numbers, $a$ and $b$ , $a-b=a+(-b)$ .
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.

$3 - 2 = 3 + (-2) = 1\\ \\ 5 - (-2) = 5 + 2 = 7$

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You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and 1 red

statuscvo [17]

Answer:

0.3 chance of not drawing a blue marble.

Step-by-step explanation:

This problem can be found using the theoretical probability formula.

The formula is: P (desired outcome) = <u># of desired outcomes</u>

total number of outcomes

Now all you have to do is input the numbers into the equation.

P(not drawing a blue marble) = <u>3</u>

3/10 is equal to 0.3 as a decimal.

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2 years ago

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

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2 years ago

23.) What is one benefit or drawback to an hourly wage?

xxMikexx [17]

An hourly wage may result in lower pay

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3 years ago

Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!

Feliz [49]

Answer:

and

-8n

Step-by-step explanation:

7m - 2m = 5m

and

-5n - 3n = -8n

Have a great day

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2 years ago

Warren just found his old journal in a drawer and has decided to start making 1 journal entry every day. There were already 8 en

xenn [34]

Since x is the days And y is the entries And there are 8entries already the equation should be y=x+8

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2 years ago