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CaHeK987 [17]
3 years ago
15

Benford’s law states that the probability that a number in a set has a given leading digit, d, is

Mathematics
2 answers:
Scilla [17]3 years ago
4 0
<span>Benford’s law states that the probability that a number in a set has a given leading digit, d, is
P(d) = log(d + 1) - log(d)</span>  
The division property of logarithm should be use to make it as a single logarithm  
P(d) = log ( (d + 1)/ d)  
So the probability that the number 1 is the leading digit is
P(1) = log ( ( 1+1)/ 1)
P(1) = log ( 2)
<span>P(1) = 0.301</span>
Mashutka [201]3 years ago
4 0

The exact right answer fore this question would be...


Use the quotient property to rewrite the expression.

Write the difference of logs as the quotient log((d+1)/d).

Substitute 1 for d to get log(2).

Since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

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A factory used 99.19 kilograms of tomatoes to make 7 batches of pasta sauce. What quantity of tomatoes did the factory put in ea
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Answer:

14.17 kilograms

Step-by-step explanation:

Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:

99.19/7

= 14.17

So, the factory put 14.17 kilograms of tomatoes in each batch.

5 0
3 years ago
One carton of eggs contains 12 eggs.
noname [10]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
Find the midpoint of the segment with the following endpoints.
sergij07 [2.7K]

Answer:

( 5.5 , 4 )

Step-by-step explanation:

Use mid point formula shown in image

first x= (X+X)/2

x=(4+7)/2

x=11/2

x=5.5

y=(Y+Y)/2

y=(2+6)/2

y=8/2

y=4

(5.5,4)

4 0
3 years ago
Annie, Brianna &amp; Carly are selling fruit boxes to raise money for their soccer team. All together the girls have sold 105 bo
GaryK [48]

Step-by-step explanation:

Annie = x

Brianna = y

Carly = z

Now,

x + y + z = 105 ...(1)

Carly has sold ten more than three times Brianna's sales.

z = 10 + 3y ...(2)

Brianna sold five more than Annie.

y = 5 + x ...(3)

Now,

z = 10 + 3y

z = 10 + 3(5 + x)

z = 10 + 15 + 3x

z = 25 + 3x

Now,

x + y + z = 105

x + (5 + x) + 25 + 3x = 105

5x + 30 = 105

5x = 105 - 30

5x = 75

5x/5 = 75/5

x = 15

So,

y = 5 + x

y = 5 + 15

y = 20

Now,

z = 25 + 3x

z = 25 + 3(15)

z = 25 + 45

z = 70

Thus,

Annie Sold 15 boxes

Brianna Sold 20 boxes

Carly Sold 70 boxes

6 0
2 years ago
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