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Kipish [7]
3 years ago
11

3. a) Translate the following number written in our numeration system into Babylonian's numeration system. (Show work.) 8,752

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer: 2 25 52

Step-by-step explanation: They used a base of 60

from <u>right to left</u> a.60⁰, b.60¹, c.60², etc.

As 60³ = 216000 > 8752, we should start with 60².

As 60² = 3600, 8752/3600 = 2,43, we use 2.60²

8752 - 2.60² = 8752 - 7200 = 1552

1552/60 = 25,87; we use 25.60

1552 - 25.60 = 1552 - 1500 = 52

∴ 8752 = 2  25  52

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Inessa [10]

Answer:

270

Step-by-step explanation:

720 * (0.375) = 270

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What is the better buy?
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Explanation:

For the first deal we can say

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For the second deal we could say

12 batteries = 14.76 dollars

12/12 batteries = 14.76/12 dollars .... divide both sides by 12

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The unit price for the first deal is $1.23 per battery.

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4 0
3 years ago
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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

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

X \sim Binom(n=5, p=0.4)

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

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

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

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

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3 years ago
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