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olasank [31]
3 years ago
13

In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = \frac{1}{100}

The probability that the item is not defective = \frac{99}{100}

The probability that the fifth item is defective = \frac{1}{100}* \frac{98}{99}

                                                                            = 0.009899

Probability that one in 5 items is defective  = 0.005624

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mixas84 [53]
Let x be number of black markers

4.5x + 2x3.25x + 3x1.98x = 284.24
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5 0
3 years ago
Which probability distribution table corresponds with this frequency distribution table
nlexa [21]

Answer:

A.

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

Step-by-step explanation:

First find the sum

\sum f=4+6+1+4+5=20.

Now, find the probabilities:

  • Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;
  • Pr(x=3)=\dfrac{1}{20}=0.05;
  • Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.

Hence, the frequency distribution table is

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

4 0
2 years ago
Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows
Maru [420]

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow =  48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

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First, solve for the x - intercept. To do so, equate y to 0 and solve for x. 

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Second, solve for the y - intercept. Equate x to 0 which will give us,

                                              y = (4)(0) -2, y = -2

Therefore,  the x-intercept is 1/2 and y-intercept is -2. 
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How many solutions does the equation y + 12 = y + 10 + 2 have?
coldgirl [10]

Infinitely many, because if you simplified the right side, it would equal the left side.

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