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elixir [45]
3 years ago
9

The amount of soda dispensing machine pours into a can of soda is normally distributedwith a mean of 12 ounces and a standard de

viation of 0.2 ounce. Find the probability that a can contains less than 11.75 ounces of soda.
Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

0.1056

Step-by-step explanation:

Mean(μ) = 12 ounce

Standard deviation (σ) = 0.2 ounce

P(x<11.75) = ???

Let x be the random variable for the amount of soda a machine will dispense.

Using normal distribution

Z = (x - μ) / σ

Z = (11.75 - 12) / 0.2

Z = (-0.25)/0.2

Z = -1.25

From the normal distribution table

1.28 is 0.3944

Φ(z) is the tabular value of z

Φ(z) = 0.3944

Recall that when Z is negative

P(x<a) = 0.5 - Φ(z)

P(x < 11.75) = 0.5 - 0.3944

= 0.1056

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Rationalise the denominator.
grin007 [14]

Let's see what to do buddy...

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To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

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So we have :

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The other is in the photo.

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7 0
3 years ago
The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.
a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55         Eqn 1

7x+10y = 64          Eqn 2

Multiplying equation 1 by 7

7(10x+7y) = 7(55)\\70x+49y=385

This will be equation 3.

Multiplying equation 2 by 10

10(7x+10y) = 10(64)\\70x+100y=640

This will be equation 4.

Subtracting equation 3 from equation 4

70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

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I think it is b

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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