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DENIUS [597]
3 years ago
7

What answer is 1/6 + 2/3

Mathematics
2 answers:
klemol [59]3 years ago
7 0

1/6+2/3= 5/6

(2/2×2/3)+1/6 -> 2×2 +1/6 -> 4/6+1/6-> 5/6

2×3

olga_2 [115]3 years ago
5 0

Answer:

5/6

because you have to make in the same denominator

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A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit
Drupady [299]

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a selected component is non-defective is 0.8

This means that p = 0.8

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

p = (0.8)^8*0.2 = 0.0336

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

4 0
3 years ago
If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)
allsm [11]

Answer:

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Step-by-step explanation:

f(x) = 3^x + 10x

g(x) = 2x - 4,

(f + g)(x) = 3^x + 10x +  2x - 4

Combine like terms

             = 3^x + 12x -4

6 0
3 years ago
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In how many places did the japanese troops land on december 8, 1941?
bezimeni [28]
The first battle in the Pacific between the empire of Japan against the US and its allies took place on December 8, 1941. The Japanese forces began their conquest on the pacific islands and it started its invasion of the Malaya. They were held by a resistance of British Indian fighter however it was not enough to hold off the overwhelming Japanese force.
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3 years ago
How do I graph (5, -3), (0, -4)
Lorico [155]

Answer:

5 right and down 3 and (0 means the middle) so middle down 4

Step-by-step explanation:

lit : )

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3 years ago
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Hunter-Best [27]

Answer:

  16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

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We want to match this form.

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<h3>comparing terms</h3>

Comparing the known terms, we see ...

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<h3>filling in the missing term</h3>

The missing term is the linear term:

  2ab = 2(4x)(6) = 48x

  ? = 48

4 0
2 years ago
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