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3 years ago

7

Please help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

1 answer:

Wittaler [7]3 years ago

6 0

Answer:

-4 5/12

Step-by-step explanation:

-23/3 + (-11/2) + 35/4

<em>Find a common denominator (12).</em>

-92/12 + (-66/12) + 105/12

<em>Reform the equation to have this as a single fraction.</em>

(-92 + (-66) + 105)/12

<em>Subtract 66 from -92 to get -158.</em>

(-158 + 105)/12

<em>Add 105 to -158 to get -53.</em>

-53/12

<em>Convert into a mixed number by dividing by 12.</em>

-4 5/12 (Choice A) is your answer.

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Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o

Irina-Kira [14]

Answer:

a

$P(X < 12) = 0.3660$

b

$P(X < 12) = 0.1521$

Step-by-step explanation:

Considering question a

From the question we are told that

The mean is $\mu = 12.01 \ oz$

The standard deviation is $\sigma = 0.35 \ oz$

The standard error of mean is mathematically represented as

$\sigma_{x} = \frac{\sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{0.35}{\sqrt{144} }$

=> $\sigma_{x} = 0.02917$

Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as

$P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.01 }{0.02917 } )$

$\frac{X -\mu}{\sigma_{x} } = Z (The \ standardized \ value\ of \ X )$

$P(X < 12) = P(Z < -0.3425 )$

From the z table the area under the normal curve to the left corresponding to -0.3425 is

$P(X < 12) = P(Z < -0.3425 ) = 0.3660$

=> $P(X < 12) = 0.3660$

Considering question a

From the question we are told that

The mean is $\mu = 12.03 \ oz$

Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as

$P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.03 }{0.02917 } )$

$P(X < 12) = P(Z < -1.0274 )$

From the z table the area under the normal curve to the left corresponding to -1.0274 is

$P(X < 12) = P(Z < -1.0274 ) =0.1521$

=> $P(X < 12) = 0.1521$

3 0

3 years ago

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Grace [21]

Answer:

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$x = 25$

$5x + 10$

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$125 + 10 = 135$

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3 years ago

Using the function, -6+17, what value for y will correct the table? Show work help please

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3 years ago

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