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3 years ago

Factory overhead is a _____ account.

Mathematics

1 answer:

ladessa [460]3 years ago

6 0

Answer:

Factory overhead is a liability account

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Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁) = 0.999869

P(A/E₁) = 3% = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

$P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}$

$=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}$

$\frac{0.2999607}{0.00000393+0.2999607}$

$\frac{0.2999607}{0.29996463}$

= 0.999986898 ≈ 0.999987

6 0

3 years ago

Can one fifth be simplified

Svetradugi [14.3K]

No, and never, cus there ain't any numbers that are greater than 1 that can go into both of them.
<span>so basically if the numerator is 1, you can't simplify it anymore. Is Impossible.</span><span />

3 0

2 years ago

Simplify (-3k + p – 1) – (2k – 6p – 2)

Rom4ik [11]

Answer:

-5k+7p+1 I THINK

Step-by-step explanation

destribute the negative

(-3k + p – 1) – (2k – 6p – 2)

-2k+6p+2

add to the (-3k + p – 1) to simplify

-5k+7p+1

3 0

3 years ago

Find an equation of the line. Write the equation using function notation.

Gemiola [76]

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

$y = -4x+9$

Step-by-step explanation:

Given equation of line is:

$4y=x-8$

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

$\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2$

Let m1 be the slope of given line

Then

$m_1 = \frac{1}{4}\\$

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

$m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4$

The slope intercept form of line is given by:

$y = m_2x+b$

Putting the value of slope

$y = -4x+b$

to find the value of b, putting (3,-3) in equation

$-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9$

Putting the value of b in the equation

$y = -4x+9$

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

$y = -4x+9$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

Help asap, please! <3

o-na [289]

Answer:

a = 9

Step-by-step explanation:

Let's make the demoninators of the 2 fractions the same :
(2a+8)/10 - (5a +15)/10 = 5

(2a + 8 - 5a + 15)/10 = 5

=> -3a + 23 = 50
=> -3a = 27
=> a = 9

5 0

2 years ago