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Bumek [7]
3 years ago
10

A large shipment of batteries (several million) contains 4% that are defecttive.It 60 batteries are selected randomly,What is th

e probability that at most two are defective?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

0.5676

Step-by-step explanation:

We have been given these informations from this question ,

probability of 4% = 0.04

q = 1 - p = 1 - 0.04 = 0.96

Sample size n = 60

We solve further by Using binomial probability formula,

P(X = x) = (nCx)*px*(1 - p)^n - x

We have:

(60C0)x 0.04⁰x(0.96⁶⁰+(60C1)x0.04¹x(0.96)⁵⁹+(60C2)x0.04²x (0.96)⁵⁸

From this we would get the probability to be = 0.5676

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Point m lies between points l and n on line segment l n . the space between l and m is 10 x 8. the space between m and n is 5 x
Ivenika [448]

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

<h3>What is the length of line segment?</h3>

Length of a line segment is the distance of both the ends of it.

Point m lies between points l and n on line segment l n .

  • The space between l and m is 10x 8.
  • The space between m and n is 5x -4.

The value of line segment LN is,

LN = 12x +16

The sum of LM and LN is equal to the line segment LN. Thus,

LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4

Put this value of x in the equation of line segment LN,

LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Learn more about the line segment here;

brainly.com/question/2437195

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What is the standard form for the quadratic function?<br> g(x) = (x + 1)^2– 2
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