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pashok25 [27]
3 years ago
13

How do you simplify this expression

Mathematics
1 answer:
raketka [301]3 years ago
3 0
Convert <span>6\frac{3}{8}<span>6<span><span>​8</span>​<span>​3</span><span>​​</span></span></span></span><span> to improper fraction. Use this rule: </span><span>a \frac{b}{c}=\frac{ac+b}{c}<span>a<span><span>​c</span>​<span>​b</span><span>​​</span></span>=<span><span>​c</span>​<span>​<span>ac+b</span></span>​​:</span></span></span>
​∣8<span><span>​<span>​<span>6×8+3</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1<span>∣


</span></span>Simplify <span>6\times 8<span>6×8</span></span><span> to </span>48: <span><span><span><span><span>
​</span>8</span>​<span>​<span>48+3</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1∣


</span>Simplify <span>48+3<span>48+3</span></span><span> to </span>51:</span><span><span><span><span><span>
​</span>8</span>​<span>​<span>51</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1∣

</span> Make the denominators the same:
<span><span><span>51</span><span>​​/8</span></span>−2×<span><span>​8</span>​<span>​8</span><span>​​

</span></span></span><span>Simplify. Denominators are now the same:
</span>
<span><span><span>51</span><span>​​/8</span></span>−<span><span>​8</span>​<span>​<span>16</span></span><span>​​
</span>
</span></span>Join the denominators: \frac{51-16}{8}<span><span>​8</span>​<span>​<span>51−16</span></span><span>​​
</span>
etc.. and your answer will be 14

</span></span>
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Aleksandr-060686 [28]

Hello from MrBillDoesMath!

Answer:

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Answer:

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Step-by-step explanation:

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3 years ago
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors 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:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

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

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

7 0
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Answer:

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Step-by-step explanation:

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