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Masteriza [31]
3 years ago
14

A soft drink machine outputs a mean of 24 ounces per cup. The machine's output is normally distributed with a standard deviation

of 3 ounces. What is the probability of filling a cup between 21 and 28 ounces? Round your answer to four decimal places.
Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

P(21

And we can find the probability with this difference

P(-1

And using the normal standard distribution or excel we got:

P(-1

Step-by-step explanation:

Let X the random variable that represent the soft drink machine outputs of a population, and for this case we know the distribution for X is given by:

X \sim N(24,3)  

Where \mu=24 and \sigma=3

We want to find this probability:

P(21

The z score is given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(21

And we can find the probability with this difference

P(-1

And using the normal standard distribution or excel we got:

P(-1

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3 years ago
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eduard

Answer:

1/3

Step-by-step explanation:

x-1/3 x=2/3

2/3-1/3 (same denominator)

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5 0
3 years ago
Y=? What is Y? Please help me!
kumpel [21]
Answer:   y = 6 mi.  .
______________________________________________
Explanation:
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Area of a triangle = (½) * (base) * (height) ;

or,  A = (½) * b * h ;  or,  A = b*h / 2 ;
_____________________________________
Given:  A = 24.3 mi ² ;
           b = 8.1 mi 
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Find the height, "h" ;  (in units of "miles", or , "mi" ).
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   Plug in the known values into the formula:

24.3 mi ² = (½) * (8.1 mi) *(h) ;
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Solve for "h" (height) ;
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(½) * (8.1 mi) = 4.05 mi  ;
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Rewrite: 
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24.3 mi² = (4.05 mi) *(h) ;  Solve for "h" ;
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 Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ; 
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   24.3 mi²  / 4.05 mi  = (4.05 mi) *(h)  / 4.05 mi ;
                                 
              →  6 mi  = h ;  ↔  h = 6 mi. 

              →      h = y = 6 mi. 
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7 0
3 years ago
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ycow [4]
The answer is 20/29 you’re welcome :)))
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3 years ago
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Answer:

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Step-by-step explanation:

To solve for g:

53 + 3g ≤ 65

First, subtract 53 from both sides.

53 - 53 + 3g ≤ 65 - 53

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Divide 3 by both sides

=> 3g / 3 ≤ 12 /3

=> g ≤ 4

Therefore, g ≤ 4

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