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3 years ago

104 divided 4 with distributive property

2 answers:

6 0

The distributive property makes this a lot easier to answer. Dividing by 4 is the same as multiplying by 1/4, so:
1/4 x 104
104 equals 100 plus 4, so:
1/4 x (100 + 4)
now distribute the 1/4:
1/4 * 100 + 1/4 * 4
multiplying by 1/4 is the same thing as dividing by 4, so:
100/4 + 4/4
100 divided by 4 is 25, and 4 divided by 4 is 1:
25 + 1
26
therefore 104 divided by 4 is 26

Vikki [24]3 years ago

4 0

You can do 104 divided by 2 and get 52 and then you can divide it for 2 again and get 26

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Answer:

a) 0.0167

b) 0

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Standard deviation of 23 bags

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b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

$P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)$

$= 1 - P(z < 12.57)$

Calculation the value from standard normal z table, we have,

$P(x < 5.95) = 1 - 1 = 0$

c) P( fill volume of 23 bags is below 6 ounces) = 0.001

P(x < 6) = 0.001

$P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})$

Calculation the value from standard normal z table, we have,

$P( z \leq -3.09) = 0.001$

$\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948$

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

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