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kkurt [141]
3 years ago
5

I have one third gallon of juice and one sixth gallon. How many more gallons is need to make three gallons

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

2.5 gallons

Step-by-step explanation:

Make the denominators of the fractions the same and combine them

\frac{1}{3} =\frac{2}{6}

\frac{2}{6} +\frac{1}{6} =\frac{3}{6}

Then simplify the fraction

\frac{3}{6} =\frac{1}{2}

Then subtract how many gallons you have from how many you want

3 -\frac{1}{2} = 2\frac{1}{2}

You will need 2.5 gallons to make 3 gallons

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Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition
charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units  is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...

Let <em>X</em> = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, (2\times4)=8.

Compute the probability of exactly 7 defects in 4 units as follows:

P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14

Thus, the probability of exactly 7 defects in 4 units is 0.14.

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3 years ago
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Answer:

wht

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4 0
3 years ago
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7 0
3 years ago
Solve x^3 = 1 over 8.<br><br> 1 over 2<br> ±1 over 2<br> 1 over 4<br> ±1 over 4
Oduvanchick [21]

Answer:

x = 1/2

Step-by-step explanation:

x^3 = 1/8

Take the cube root of each side

x^3 ^ (1/3) = (1/8)^ (1/3)

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2

7 0
3 years ago
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A keypad has only the letters A−D. What is the total number of possible outcomes if the code has 3 letters?
____ [38]

Answer:

9

Step-by-step explanation:

Because 3 letter to find that just do 3 times 3 which = 9

Hope This Helped

4 0
2 years ago
Read 2 more answers
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