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4 years ago

Using suitable identity find 5.62 − 0.32

Mathematics

1 answer:

denpristay [2]4 years ago

4 0

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

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Read 2 more answers

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

3 years ago

If the least common multiple of 2 numbers is 60 and one number is 7 less then the other number what is the answer

Arte-miy333 [17]

Your question is not clear. I must guess what you meant. Did you mean "Find the two numbers?"

If so, let the two numbers be m and n. Then mn=60 and m=n-7.

Then (n-7)(n) = 60, or n^2 -7n - 60 = 0. This factors: (n+5)(n-12) = 0

Thus, n = -5 or n = 12.

check: does mn = 60? Does 12*5 = 60? Yes. Is m (which is 5) 7 less than n (which is 12)? Yes.

Note that you could also check to see whether n=-5 and m=n-7=-5-7=-12 is also a solution.

5 0

3 years ago

Using suitable identity find 5.62 − 0.32​

Using suitable identity find 5.62 − 0.32