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ikadub [295]
2 years ago
14

Machine A can label 11 bottles in 1 minute. Machine B can label 14 bottles in 1 minute. How many bottles can both machines label

in 15 minutes?
Mathematics
2 answers:
Andru [333]2 years ago
7 0

Answer:

Machine 1: 165

Machine 2: 210

Step-by-step explanation:

Machine 1: 11 bottle per minute

11 * 15 = 165 labeled bottles per minute

Machine 2: 14 bottles per minute

14*15 = 210 labeled bottles per minute

Law Incorporation [45]2 years ago
5 0

answer = 375

Step-by-step explanation:

Machine A

11  x 15  = 165

Machine B

14 x 15 = 210

Total -

210 + 165 = 375 bottles

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Answer:

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2 years ago
Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation =  1.667  

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

  1. There are n independent trial.
  2. Each trial have a success probability p
  3. The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961

c) P( exactly 3 trucks fail the inspection)

p = 0.25

P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251

d) Mean and standard deviation

\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667

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4. SOLVE FOR X:

Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.

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67 + 5 = 12x - 5 + 5

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