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2 years ago

Evaluate the expression:(1/3)⁴ = ?

Mathematics

2 answers:

vlabodo [156]2 years ago

5 0

Answer:

1/81

Step-by-step explanation:

$\frac{1*1*1*1}{3*3*3*3}$ multiply them

hope this helps :/

Kruka [31]2 years ago

3 0

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

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If you want 915/7 simplified, it is 130.714285714.

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3 years ago

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Lisa [10]

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2 years ago

25 x 170 x 6.350 please help

m_a_m_a [10]

Answer:

26,987.5

Step-by-step explanation:

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1 year ago

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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 X = 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:

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

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2 years ago

Solve for x. 5 10 12 13

zysi [14]

Answer: B) 4 & 1/6

Nice work on getting the correct answer.

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Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why choice B is the answer.

Side note: 25/6 = 4.167 approximately

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2 years ago

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Evaluate the expression:(1/3)⁴ = ?​

Evaluate the expression:(1/3)⁴ = ?