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alina1380 [7]
4 years ago
12

A soft drink machine can be regulated so that it discharges an average of Mu ounces per cup. If the ounces of fill are Normally

distributed with a standard deviation of 0.4 ounces, what value should Mu be set at so that 6-ounce cups will overflow only 2% of the time
Mathematics
1 answer:
Flauer [41]4 years ago
7 0

Answer: 5.0693 ounces

Step-by-step explanation:

For a 6 ounce cup to overflow, then the cup content is beyond 6 ounce, at 2%

P(x > 6) = 2% = 0.02; similarly

P(x<6) = 1 - P(x > 6)'.

P(x<6) = 1 - 0.02 = 0.98

The z-score for 0.98 = 2.326

The z - formular for a normally distributed goes thus :

Zscore =(observed score - mean) / standard deviation

Substituting the vamus :

2.326 = (6 - mean) / 0.4

2.326 × 0 4 = 6 - mean

0.9304 = 6 - mean

Mean = 6 - 0.9304

Mean = 5.0693

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Arlecino [84]

Answer:

You will be charged $5.5 in 55 minutes.

Step-by-step explanation:

Just multiply 0.10 by 55 and you get $5.5 dollars.

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8 0
3 years ago
Find w please help me
Keith_Richards [23]

Answer:

w = 77°

Step-by-step explanation:

From the picture attached,

WXYZ is a quadrilateral having 4 interior angles,

m∠y = 90°

Therefore, (2x - 10) = 90°

2x = 90 + 10

2x = 100

x = 50

Now, m∠z = (x + 15)° = 65°

m∠x = (3x - 22)° = 150 - 22

                          = 128°

Sum of interior angles of a polygon = (n - 2)×180°

where n = Number of sides of the polygon

If n = 4,

m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°

w + 128 + 90 + 65 = 360

w = 360 - 283

w = 77°

Therefore, measure of w = 77°

4 0
4 years ago
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The tip for excellent service in a restaurant is 20%. Micheal’s bill was $70 and he believed he recieved excellent service. How
svetoff [14.1K]
So first, we need to find how much the tip is, which is 20% of $70. Or, 0.2*70, which equals $14. Micheal will pay $14 as tip. 
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3 years ago
A hose fills a hot tub at a rate of 3.84 gallons per minute. How many hours will it take to fill a 305​-gallon hot​ tub?
Anastasy [175]

Answer:

1.56 hours

Step-by-step explanation:

300 gal × 1 min 3.2 gal × 1 hr 60 min = 1.56 hr.

8 0
4 years ago
Read 2 more answers
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