Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c

Answer: Let "T" denote households with television

"I" denote households with internet

and "N" denote households with neither of these.

Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,

0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,

a)

House                 Probability

Nothing                0.05

Only television      0.23

Only internet         0.03

Both                   0.69

b) P(internet but no television) = P(only internet) = 0.03

c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)

d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375

e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.

Step-by-step explanation:

Answer:

thank you!

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are a few different ratios you can use:

2:1 = 12:6 = 24:12

3:1 = 12:4 = 36:12

4:1 = 12:3 = 48:12

5:1 = 15:3 = 60:12

These are just a few i could give

ANSWER: is there a picture for the question?

Step-by-step explanation:

Answer:

8

2−x

=2

8^{2-x}=8^{1/3}8

2−x

=8

1/3

2-x=\dfrac{1}{3}2−x=

3

1

​

x=\dfrac{5}{3}x=

3

5

​

2.

(\dfrac{1}{2})^{x}<\dfrac{1}{8}(

2

1

​

)

x

<

8

1

​

(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(

2

1

​

)

x

<(

2

1

​

)

3

x>3x>3

3.

5^x=25^{x-2}5

x

=25

x−2

25^{x/2}=25^{x-2}25

x/2

=25

x−2

\dfrac{x}{2}=x-2

2

x

​

=x−2

\dfrac{x}{2}=2

2

x

​

=2

x=4x=4

4.

3^{x+2}\geq273

x+2

≥27

3^{x+2}\geq3^33

x+2

≥3

3

x+2\geq3x+2≥3

x\geq1x≥1

5.

4^{3x}=8^{x-1}4

3x

=8

x−1

2^{6x}=2^{3x-3}2

6x

=2

3x−3

6x=3x-36x=3x−3

3x=-33x=−3

x=-1x=−1

Step-by-step explanation:

Answer: 2,208$

Step-by-step explanation:

To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee.  Then, simply multiply this number by 69 to get: 2,208$

Hope it helps :) and let me know if you want me to elaborate further.

Answer:

yes it is correct great job

Answer:

answer is y=1x/6 +2. or y= X+ 12/6

Step-by-step explanation:

y-3 = 1/6(x-6)

y-3= 1x/6 -1

y = 1x/6 -1+3

y. = 1x/6 +2. or y= X+ 12/6

Answer:

$183.33

Step-by-step explanation:

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

Answer:

area of the shape below is

53cm^2

.......

Answer:

4

Step-by-step explanation:

Take the number of cards and divide by the number of cards to determine the number of piles

32/8

4

There are 4 piles

Answer:

4 piles

Step-by-step explanation:

32 ÷ 8 = 4

8 cards in a pile. 8, 16, 24 ,32.

Answer:

m ≈ -0.225

Step-by-step explanation:

For points (-44.42, 5.1) and (4.42, 4)

slope = (y2 -y1)/(x2 -x1) = (5.1 -4)/ (-44.42 -4.42) = 1.1 / -48.44 ≈ - 0.225

Answer:

we know that q=-18

So if we see the fraction below it says q/3

We know that q is -18

Therefore, you substitute it in for q and you get

-18/3 which equals -6

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 121 ← is the equation of a circle centred at the origin

with r² = 121 , then

r = [tex]\sqrt{121}[/tex] = 11

Answer:

volume = length × breadth × height

v = l × b × h

= 6 × 7 × 10

= 420 cm³

so the volume of the cubeoid is 420 cm³

Step-by-step explanation:

brainliest plz

The difference in starting pay:

32,000 - 28,000 = 4,000

The difference in raises:

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Answer 5 years

Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary

Two or more expressions with an Equal sign is called as Equation.

Given that,

Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.

The other offers a starting salary of $28,000 plus a raise of $1,800.

The difference in starting pay:

Thirty two thousand minus twenty eight thousand equal to four thousand.

32,000 - 28,000 = 4,000

The difference in raises:

Eighteen thousand minus thousand equal to eight hundred.

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Hence after 5 years the two jobs will have the same salary.

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Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.

Therefore, the annual Federal Tax deduction is $ 3,189.68.

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Answer:

c = -3

Step-by-step explanation:

-2.2 - 0.1c = -1.9

-0.1c = 0.3

c = -3

Hopefully this helps!

Brainliest please?

Answer:

8

Step-by-step explanation:

Let,

x1 = 0

x2 = 1

y1 = 18

y2 = 26

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 26 - 18 ) / ( 1 - 0 )

= 8 / 1

Slope = 8

Answer:

Try it as a RWS triangle

Answer:

I think your answer is i

Step-by-step explanation:

The rotational symmetry would be letters i

The letter with rotational symmetry is i

Answer:

D. 3 units

Step-by-step explanation:

after you add you get a another number you make a another unit and get your answer or you can get the answer of the another number and add it to together.

that what I think it is

CAN YOU BRAINLEST ME THANK YOU

HOPE IT HELPS YOU

Answer:

Step-by-step explanation:

the lengths of the line segments

Answer:

[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

Answer: job 2     $ 108.75

Step-by-step explanation:

The total income after adding commission will be $5776.25.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.

Total income will be calculated as:-

Total income = 4000 + 12.25% of 14500

Total income = 4000 + 1776.25

Total income = $5776.25

Therefore, the total income after adding the commission will be $5776.25.

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Answer:yes

Step-by-step explanation:

yes

Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

                           = x² - (x - 6)² ← expand using FOIL

                         = x² - (x² - 12x + 36) ← distribute parenthesis by - 1

                        = x² - x² + 12x - 36 ← collect like terms

                        = 12x - 36