Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1500 randomly chosen invoices there are 843 or fewer amounts with first digit 1, 2, or 3

Answers

Answer 1

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

How to determine the probability?

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

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Related Questions

Solve for x in the equation

Answers

Answer:

x = -1 + ⟌17

Step-by-step explanation:

You want to solve the equation for x by finding a, b, and c of the quadratic formula

How many minutes per week do the students in our class play video games please help

Answers

Answer:

Mean: 599, Median 60

Step-by-step explanation:

0,0,0,14,16,30,60,260,300,420,1500,2592,2595

add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.

Mean: 599

Sort them from smallest to greatest and the number directly in the middle is the median.

Median: 60

NEED HELPP ASAPP SOMEONE HELP

Answers

Answer:

[tex]\textsf{C)}\quad g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]

Vertex = (8, -8)

Step-by-step explanation:

Standard form:  [tex]y=ax^2+bx+c[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

Intercept form:  [tex]y=a(x-p)(x-q)[/tex]

where p and q are the x-intercepts

Therefore, the form that most quickly reveals the vertex is

[tex]g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]

The vertex is (8, -8)

Which is an example of stratified random sampling created from each given population? A. Deciding who should be the president of the senior class by tossing a coin to choose between two candidates. B. C. Surveying members of a political party by calling people listed in the telephone directory whose last names begin with the letter A. D. Surveying subscribers to a magazine by separating the list of subscribers into four age groups and choosing a sample from each group proportional to its size in the population.

Answers

Answer:

the answer is D

Step-by-step explanation:

i just did the test

Answer:

D

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary). (-6, 7) and (-3, 0)

Answers

Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]

Step-by-step explanation:

[tex](-6-(-3))^2 + (7-0)^2[/tex]

[tex](-6, 7) and (-3, 0)[/tex]

[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].

[tex](-6,7)=(-6=[/tex]

[tex]7=)[/tex]

[tex](-3,0)=(-3=[/tex]

[tex]0=)[/tex]

[tex]Exact Form:\sqrt{58}[/tex]

The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]

Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]

helppppp please !!!!​

Answers

Step-by-step explanation:

the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.

so,

f'(x) = 2x + b

and then

2x + b = 0

we know, x = 20 for the minimum

2×20 + b = 0

40 + b = 0

b = -40

therefore, the actual function is

f(x) = x² - 40x + 164

the target format is

f(x) = (x - h)² + k = x² - 2hx + h² + k

so,

-40x = -2hx

-40 = -2h

h = 20

and

h² + k = 164

20² + k = 164

400 + k = 164

k = -236

solve fast pls i am mark you​

Answers

Answer:

[tex] \bold{ x = - \frac{5}{6} }[/tex]

Step-by-step explanation:

⠀⠀⠀⠀■ Question

[tex] \large \sf{ \frac{4x + 9}{3x + 11} = \frac{4x + 3}{3x + 2} }[/tex]

Solve for x.

⠀⠀⠀⠀□ Solution

We will cross multiply the above equation

[tex] \sf (4x + 9)(3x + 2) = (4x + 3)(3x + 11) \\ \\ \sf 4x(3x + 2) + 9(3x + 2) = 4x(3x + 11) + 3(3x + 11) \\ \\ \sf 12 {x}^{2} + 8x + 27x + 18 = 12 {x}^{2} + 44x + 9x + 33 \\ \\ \sf 12 {x}^{2} + 35x + 18 = 12 {x}^{2} + 53x + 33[/tex]

Now we will take the values of RHS(right hand side) to LHS(left hand side) of the equation. During this, the values of RHS will get opposite sign while going to LHS.

[tex] \sf 0 = 12 {x}^{2} + 53x + 33 - 12 {x}^{2} - 35x - 18 \\ \\ \sf 0 = 18x + 15[/tex]

Taking 15 to LHS

[tex] \sf - 15 = 18x[/tex]

Dividing both RHS and LHS of the equation by 18

[tex] \large{ \sf \frac{ - \cancel{15} \tiny {5}}{ \cancel {18} \tiny6 } = x} \\ \\ \boxed{ x = - \frac{5}{6} }[/tex]

Answer:

[tex]\textsf{$x=-\dfrac{5}{6}$}[/tex]

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{4x+9}{3x+11}=\dfrac{4x+3}{3x+2}$}[/tex]

1. Cross-multiply

(4x + 9)(3x + 2) = (4x + 3)(3x + 11)

2. Distribute

⟶ (4x + 9)(3x + 2) = (4x + 3)(3x + 11)

⟶ 4x(3x) + 4x(2) + 9(3x) + 9(2) = 4x(3x) + 4x(11) + 3(3x) + 3(11)

⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33

3. Combine like terms

⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33

⟶ 12x² + 35x + 18 = 12x² + 53x + 33

4. Subtract 12x² from both sides

⟶ 12x² - 12x² + 35x + 18 = 12x² - 12x² + 53x +33

⟶ 35x + 18 = 53x + 33

5. Subtract 35x from both sides

⟶ 35x - 35x + 18 = 53x - 35x + 33

⟶ 18 = 18x + 33

6. Subtract 33 from both sides

⟶ 18 = 18x + 33

⟶ 18 - 33 = 18x + 33 - 33

⟶ -15 = 18x

7. Divide both sides by 18 to isolate the variable

[tex]\longrightarrow\textsf{$\dfrac{-15}{18}=\dfrac{18x}{18}$}\\\\\\\longrightarrow\textsf{$\dfrac{-15}{18}=x$}\\\\[/tex]

8. Reduce

[tex]\longrightarrow\textsf{$\dfrac{-15\div 3}{18\div 3}=x$}\\\\\\\longrightarrow\textsf{$-\dfrac{5}{6}=x$}[/tex]

Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. Find the measures of center for each of the students.


Noah’s scores: 84, 85, 85, 86, 90, 92


Total of 522


Gabriel’s scores: 82, 85, 86, 86, 90, 94


Total of 523


What are Noah’s mean, median, and mode?





What are Gabriel’s mean, median, and mode?

Answers

Answer:

Not sure if you still want the answers but here you go

Step-by-step explanation:

Noah's mean: 87

Noah's median: 85.5

Noah's mode: 85

Gabriel's mean: 87.17

Gabriel's median: 86

Gabriel's mode: 86

Answer:

What are Noah’s mean, median, and mode?

✔ 87, 85.5, 85

What are Gabriel’s mean, median, and mode?

✔ 87.17, 86, 86

Step-by-step explanation:

just did it they are correct

i need help to solve this

Answers

Step-by-step explanation:

(6+r)^2 = 81 + r^2

36 + 12r+ r^2 = 81 + r^2

12r = 81-36 = 45

r = 15/4 = 3.75

Answer with steps pls

Answers

Answer:

A) 2¹²

Step-by-step explanation:

Given :

3x - y = 12

Equate the equation to y :

3x - y + y = 12 + y12 + y = 3x12 + y - 12 = 3x - 12y = 3x - 12

Substituting in the expression :

[tex]\frac{8^{x} }{2^{y} }[/tex][tex]\frac{2^{3x} }{2^{3x-12} }[/tex][tex]{2^{3x-3x+12}}[/tex]2¹²

how is it no explain why

Answers

Answer:

the top answear

Step-by-step explanation:

the top aka 16^15/5 it should be 16^15 not that 5

Answer:

The answer is "no" because when two numbers with the same bases are divided, their powers are subtracted.

This should have been done instead:

                                     [tex]\frac{6^{15} }{6^5}[/tex] = 6¹⁵ ⁻ ⁵

                                           = 6¹⁰

Hope this helps!

2) A 6-pack of energy drinks costs $3.00. The unit rate is $
Your answer

Answers

6/3.00 = 2
Dive the energy drinks by $3 so the unit price for each one is $2
Answer: $0.5

Step-by-Step Explanation:

6-pack cost = $3
Unit Rate = ?

Therefore,
= 3/6
= 1/2
= 0.5

Unit Rate = $0.5

A box contains 20 uckets mmbered from 1 to 20 tetor de candowm. find the probability it is divisible by 3 and 4

Answers

Answer:

that 2 out of 20 ratio you have 18 to 1 odds of getting these

Find the area of a triangle whose sides are 35 cm, 45 cm and 50 cm.

Answers

Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2

where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2

  = 130 / 2

  = 65 cm

Area of scalene triangle is given by

A = sqrt (s (s - a) (s - b) (s - c))

   = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))

   = sqrt (65 * 30 * 20 * 15)

   = sqrt (585000)

   = 764.853 sq cm

Step-by-step explanation:

5. Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49,
and 5 sodas were $1.19 each.
If the pizza is sliced into 10 equal slices and each person eats 2 slices and drinks one
soda, what is the cost to each person?
$2.94
® $4.13
$3.50
$4.69

Answers

Answer:

D. is the correct option

Step-by-step explanation:

There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.

$17.49 ÷ 5 = 3.489 or rounded up to $3.50

Next, we'll add $1.19 to $3.59 which equals $4.69

Hope this helps!

It's going 2 by 2 for the paper i couldn't get it all in at a time so the first 2 are one paper and its like that for the next 2 papers but the last paper is the whole paper

Answers

it took I'd :safalbista10 10

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

13.9

Step-by-step explanation:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Find the difference between coordinates:

(x2 - x1) = (-5 - 0) = -5

(y2 - y1) = (-3 - 10) = -13

Square the results and sum them up:

(-5)^2 + (-13)^2 = 25 + 169 = 194

Now Find the square root and that's your result:

Exact solution: √194

Approximate solution: 13.9284

AM I CORRECT
A school is having a canned food drive. Each class is challenged to collect 190 cans. If there are c classes in the school, which equation could be used to find the total number of cans, T, the school will collect if each class meets the challenge?

Answers

This answer does look right to me.

The number of cans the school will collect is T = 190 c.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given:

Each class is challenged to collect 190 cans.

If there are c classes in the school.

Then, the number of Cans can be collected is:

= Number of classes x number of cans each class collect

=  c x 190

= 190 c

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Which probability is correct? p(a) = three-fifths p(b) = startfraction 16 over 31 endfraction p(a|b) = two-sevenths p(b|a) = startfraction 10 over 21 endfraction

Answers

The correct probability expression is (a) P(a) = three-fifths

How to determine the correct probability ?

Using the data in the complete question, we have:

n(A) = 3

n(U) = 5

The probability of A is then calculated using:

P(A) = n(A)/n(U)

This becomes

P(A) = 3/5

Hence, the correct probability expression is (a) P(a) = three-fifths

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Answer:

It’s A my friend

Step-by-step explanation:

i did the quiz

yw :)

hope i helped/ made life easier

If 6 hotdogs cost $ 18, then what is the cost for each hotdog

Answers

Answer:

each hot dog costs $3

Step-by-step explanation:

$18÷6 hotdogs=$3 or $3×6 hotdogs=$18

The function f(x) = –two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). which points represent ordered pairs on g(x)? check all that apply. (–7, –10.206) (–2.5, –4.474) (0, –1.773) (0.5, –0.221) (4, –0.017) (9, –0.003)

Answers

The points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

How to determine the point on g(x)?

The function f(x) is given as:

[tex]f(x) = -\frac 27(\frac 53)^x[/tex]

The rule of reflection across the y-axis is:

g(x) = f(-x)

So, we have:

[tex]g(x) = -\frac 27(\frac 53)^{-x[/tex]

All the points in the options are on the curve of the function g(x) except (0, -1.773)

Hence, the points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

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Answer: 1  4  6

Step-by-step explanation: its right bro.

I need help with this problem

Answers

I can’t see the if 5685sq sorry

Complete the table for the equation below

Answers

Answer:

-1

2

4

Step-by-step explanation:

You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.

Brett owns 236 shares of animite energy co., each of which offers a yearly dividend of $3.59. how much money does brett receive from dividends every year? a. $1,038.85 b. $1,529.59 c. $657.58 d. $847.24

Answers

The total amount of money that Brett receives from dividends every year is $847.24.

What is the total amount of money received from dividends?

Dividends are payments made to the shareholders of a public company from the income of a company in a particular period.

Total dividends = dividend per share x total shares owned

236 x 3.59 = $847.24

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Answer:

Step-by-step explanation:

847.24

Using the image above, what is the measure of Angle E? Round to the nearest hundredth

Answers

Answer:

the answer is 30°

Step-by-step explanation:

180°-90°-60°

2 interior angles of a triangle me 50 degrees and 60 degrees , what is the measure of the third interior angle of the tringle?

Answers

Answer: 70 degrees

Step-by-Step Explanation:

Let the third interior angle be ‘x’

By Angle Sum Property, the Sum of all Angles in a Triangle is 180 degrees.

Therefore,
x + 50 + 60 = 180
x + 50 = 180 - 60 = 120
=> x = 120 - 50 = 70

Therefore, x = 70 and the third interior angle is 70 degrees.

PLEASE HELP ASAP !!

A particle moves in a a straight line along the x-axis. Its displacement (distance from 0 along the x-axis) is given by the following equation: f(t) = 3(t)^4 - 5(t)^3 + 6(t) - 7; t >= 0, where t is measured in seconds and f is measured in meters. Find the velocity of the function after 2 seconds.

Answers

The velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s

What is velocity?

Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.  

Here we have a displacement function:-

F(t)=3t⁴-5t³+6t-7

So to find out the velocity we will differentiate the above equation with respect to t.

d(F(t)/dt=12t³-15t²+6

V=12t³-15t²+6

Put the value of t=2 seconds

V=12x(2x2x2)-15x(2x2)+6

V=42 meters per second

Hence the velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s

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Work out

5 3/4 - 2 1/4

Answers

Answer:

3  1/2

Step-by-step explanation:

So because the fraction in attatched to the whole numbers have the same denominator you can literally just subtract the whole numbers and the fractions. (You do them seperatly) (5-2)=3   (3/4-1/4) = 2/4 or 1/2

solve the system of equations. {2y=6x
x^2+y=4

Answers

2y=6x
X2+y=4


Y=6x/2

X2+y=4

Answer: x=1 y=3, x=-4 y=-12

Answer: (1,3)and (-4,-12)

Step-by-step explanation:

products of powers formula

Answers

The products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

What is products of power formula?

The products of powers formula is used to find the product of two exponent numbers.

It is difficult to solve the problem of product in which number has the different exponents or power. The product of power formula is solved this issue.The product of power formula tells that when the number is multiplied by itself with different exponent, then the power are added in this multiplication keeping the number same.

The products of powers formula when multiplying a number having exponents can be given as,

[tex]a^m\times a^n=a^{(m+n)}[/tex]

Here, (a,m and n) are the number real numbers. In this formula, m and n is the power of the common number a.

Hence, the products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

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