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damaskus [11]
3 years ago
6

(1) Calculate the circumference of thecircles below in terms of π​

Mathematics
2 answers:
blagie [28]3 years ago
7 0

Answer:

A.

2 x 2 = 4 so 4 is the diameter because the diameter is double the radius

diameter x pi = circumference

4 x pi = 3pi or 12.56

8 x pi = 8pi or 25.12

Step-by-step explanation:

Mademuasel [1]3 years ago
3 0

Answer:12.57

Step-by-step explanation:

C=2πr

   =2·π·2

   =12.56637

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P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.04)

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

3 0
3 years ago
What is 252 = 11n + 10
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Answer:

n=22 or 252=11(22)+10

Step-by-step explanation: 252=11n+10. Start by attempting to isolate the varyable by subracting 10 from both sides--> 242=11n, divide by 11--> 22=n

PROOF 252=11*22+10=242+10=252


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Step-by-step explanation:

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