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4vir4ik [10]
2 years ago
9

Find the domain y=1-7x/8-|3x-15|

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
4 0

Using set builder notation, the domain of the given function is;

{x | x ≠ 5}

<h3>How to find the Domain of a Function?</h3>

The domain is all values of x that makes the given expression undefined.

The given expression is;

y = (1 - 7x)/8 - 1/|3x - 15|

To find the value of x that will make the expression undefined, it means that we will equate the denominator to zero to get;

|3x - 15| = 0

Thus;

3x = 15

x = 15/3

x = 5

Thus, using set builder notation, the domain of the given function is;

{x | x ≠ 5}

Read more about Domain of Function at; brainly.com/question/10197594

#SPJ1

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Answer:

For this case we need to check the conditions in order to use the normal approximation:

1) np = 60*0.3= 18>10

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\hat p \sim N (\hat p, \sqrt{\frac{\hat p(1-\hat p)}{n}})

The mean would be given by:

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And the deviation is given by:

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Step-by-step explanation:

For this case we know the following info:

n =60 represent the sample size

\hat p = 0.3 represent the estimated proportion of people that will buy a packet of crackers after tasting

For this case we need to check the conditions in order to use the normal approximation:

1) np = 60*0.3= 18>10

2) n(1-p) = 60*(1-0.3)= 42>10

Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

\hat p \sim N (\hat p, \sqrt{\frac{\hat p(1-\hat p)}{n}})

The mean would be given by:

\mu_{\hat p}=0.3

And the deviation is given by:

\sigma_{\hat p}= \sqrt{\frac{0.3*(1-0.3)}{60}}= 0.0592

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90°-53°=37°

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