2. Last year, 70% of 1 million Philadelphians got their flu shots. About 2% of people who got
their shot got sick with the flu. 6% of people who did not get their flu shot got sick. What is
the probability that a Philadelphian who got the flu got a flu shot? Using bayes rule

Answers

Answer 1

The conditional probability that a Philadelphian who got the flu got a flu shot is of:

0.4375 = 43.75%.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering the outcome of a previous event.

The formula is presented as follows:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which each probability in the formula is described as follows:

P(B|A) is the probability of the event B happening, given that the event A happened.[tex]P(A \cap B)[/tex] is the probability of both the events A and B happening.P(A) is the probability of the event A happening.

In the context of this problem, the events are described as follows:

Event A: Got the flu.Event B: Got the flu shot.

The probability of people who got the flu is obtained as follows:

2% of 70%. (got the shot).6% of 30%. (did not get the shot).

Hence:

P(A) = 0.02 x 0.7 + 0.06 x 0.3 = 0.032.

The probability of both getting the flu and the shot is:

P(A and B) = 0.02 x 0.7 = 0.014.

Hence the conditional probability that a Philadelphian who got the flu got a flu shot is calculated applying the conditional probability formula as follows:

P(B|A) = P(A and B)/P(A) = 0.014/0.032 = 0.4375 = 43.75%.

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Related Questions

Jamal wants to save $54,000 for a down payment on a home. How much will he need to invest in an account with 8. 2% apr, compounding daily, in order to reach his goal in 5 years?.

Answers

Jamal need to invest $35838.77 in an account.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

As given Jamal wants to save $54,000 for a down payment on a home with 8.2% APR, compounding daily for 5 years.

The compound interest formula is,

[tex]A = P(1+\frac{r}{n})^n^t[/tex]

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, A = $54000, r = 8.2% = 0.082, t = 5, n = 365

Plug the values in the above formula,

[tex]54000 = P(1+\frac{0.082}{365} )^(^3^6^5^)^(^5^)\\54000 = P(1.0002246575)^1^8^2^5\\54000= P(1.5067483068)\\P = \frac{54000}{1.5067483068} \\P = 35,838.766\\P = 35838.77[/tex]

Hence, Jamal need to invest $35838.77 in an account.

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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

x² + (y – 3)² = 36 and x² + (y + 8)² = 36 are equations that represent circles having a diameter of 12 units and a center that lies on the y-axis

How to find the equations of circles?

Given : x² + (y – 3)² = 36, x² + (y – 5)²= 6, (x – 4)² + y² = 36, (x + 6)² + y² = 144 and x² + (y + 8)² = 36

and x² + (y + 8)² = 36

The standard form of the equation of a circle is

(x-a)² + (y-b)² = r²

where (a, b) is the center and r is the radius

Let's compare the given equations with the standard equation:

x² + (y – 3)² = 36 can be written as:

(x-0)² + (y – 3)² = 6²

This has a center (0, 3), radius r = 6 and diameter = 12 units

x² + (y – 5)²= 6 can be written as:

(x-0)² + (y – 5)² = (√6)²

This has a center (0, 5), radius r = √6 and diameter = 2√6 units

(x – 4)² + y² = 36 can be written as:

(x-4)² + (y – 0)² = 6²

This has a center (4, 0), radius r = 6 and diameter = 12 units

(x + 6)² + y² = 144 can be written as:

(x+6)² + (y – 0)² = 12²

This has a center (6, 0), radius r = 12 and diameter = 24 units

x² + (y + 8)² = 36 can be written as:

(x+0)² + (y + 8)² = 6²

This has a center (0, -8), radius r = 6 and diameter = 12 units

Therefore, the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36

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25pts. URGENT: What is the classification of each system?
Drag the answers into the boxes to match each system.

Answers

It is found that the first system of equations is consistently independent, the second one is inconsistent, and the third one is consistently dependent.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

We are given the first system of equations:

4x + y = 8

x + 3y = 8

thus 4/1 ≠ 1/3 = 1 is consistently independent.

The second system of the equation is;

-4x + 6y = 2

2x - 3y = 1

Therefore, -4/2 = -6/3 = 2 is inconsistent.

The third system of equations is;

5x - 2y = 4

5x - 2y = 6

Thus, 5/5 = -2/-2 ≠ 4/6 is consistent dependent.

Thus, It is found that the first system of equations is consistently independent, the second one is inconsistent, and the third one is consistently dependent.

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Could anybody solve this for me?

Answers

The equation for S, in terms of t, is S = 18 - 2t

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The initial value is 18 inches,

The rate of change is -1.5 inches per hour,

t is the number of hours.

S = 18 - 2t

Number of Hours after the                      Depth of Snow on Hudson's Lawn

Storm                                                                           (Inches)

0                                                                                        18

1                                                                                          16

2                                                                                         14

3                                                                                         12

Therefore, the equation for S, in terms of t is S = 18 - 2t.

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Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 ≤x≤7.
x
1
4
7
10
f(x)
90
87
84
81

Answers

The average rate of change of the function over the range 4≤ x ≤7 using the function defined in the table is -1.

Given that,

We have to find the Find the average rate of change of the function over the range 4≤ x ≤7 using the function defined in the table below.

x           f(x)

1           90

4           87

7           84

10          81

We have to find the slope of the 2 points.

The points are (4,87) and (7,84)

The slope point is rise/run

Rise is y₂-y₁

Run is x₂-x₁

So,

Slope = (84-87)/(7-4)

Slope = (-3)/(3)

Slope = -1

Therefore, The average rate of change of the function over the range 4≤ x ≤7 using the function defined in the table is -1.

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pleace is my testing

Answers

The value of [tex]\sqrt{13}[/tex] is between 3 and 4 on the number line.

What is a number line?

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

[tex]\sqrt{13}[/tex] = 3.60

The value 3.6 is going to be between 3 and 4 because it is seen to be more than 3 while the value is also seen to be less than 4.

Hence the solution to the problem is the locations are 3 and 4.

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36x + 31 = 535
A.
none of these
B.
1
C.
17
D.
12

Answers

Answer:

A

Step-by-step explanation:

36x = 535 - 31

36x = 504

36/36 x = 504/36

x = 14

[tex]{ \green{ \boxed{ \red{ \sf{x = 14}}}}}[/tex]

Step-by-step explanation:

[tex]{ \purple{ \tt{36x + 31 = 535}}}[/tex]

[tex]{ \purple{ \tt36x = 535 - 31}}[/tex]

[tex]{ \purple{ \tt{36x = 504}}}[/tex]

Divide both the sides by 36 then,

[tex]{ \purple{ \tt{ \frac{ \cancel{36}}{ \cancel{36}}}}} = { \purple{ \tt{ \frac{ \cancel{504}} { \cancel{36}}}}}[/tex]

[tex]{ \red{ \boxed{ \green{ \sf{x = 14}}}}}[/tex]

Choose the best selection for the quadrilateral with vertices at following points: (0,2), (6,0), (0,-2), (-6,0)

Answers

The quadrilateral with the given vertices is a Rhombus , the correct option is (C) .

In the question ,

it is given that ,

the vertices of the quadrilateral are (0,2), (6,0), (0,-2), (-6,0)

let us rename , the coordinates as A(0,2) , B(6,0) , C(0,-2) , D(-6,0) .

the distance between two points (x₁,y₁) and (x₂,y₂) can be calculated using the formula

d = √(x₂ - x₁)² + (y₂ - y₁)²

distance between A(0,2) and B(6,0) is

AB = √(6 - 0)² + (0 - 2)²

AB = √(6² + (-2)²)

AB = √(36+4)

AB = √40

distance between B(6,0) and C(0,-2) is

BC = √(0 - 6)² + (-2 - 0)²

BC = √((-6)² + (-2)²)

BC = √(36+4)

BC = √40

distance between C(0,-2) and D(-6,0) is

CD = √(-6 - 0)² + (0 - 2)²

CD = √((-6)² + (-2)²)

CD = √(36+4)

CD = √40

distance between D(-6,0) and A(0,2) is

DA = √(0 -(-6))² + (2 - 0)²

DA = √(6² + 2²)

DA = √(36+4)

DA = √40

we see that the length of all the sides  is √40 ,

all the sides are same in Square and Rhombus ,

But from the graph below, we see that the quadrilateral formed is in the shape of the Rhombus .

Therefore , The quadrilateral with the given vertices is a Rhombus .

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[Legitimately giving away like, 40 points, & mark brainliest.]

1. The point plotted on graph A is located at (__, __). When using the ratio y/x and changing it to a decimal, that means the constant of proportionality is __ and the equation of the line is y=__.

NOTE!: The rest is basically asking the same question, but different graphs. (ex. The point plotted on graph B is located at (___, __). To be more specific)

Question 5:
Since graph ___ has a different constant of proportionality and different equation, it is different than other three graphs.

[I'd appreciate it if someone were to answer quickly...] ​

Answers

The different proportional relationship is given by:

Relationship B.

The justification is:

Since graph B has a different constant of proportionality and different equation, it is different than other three graphs.

What is a proportional relationship?

The definition of a proportional equation is given as follows:

y = kx.

Which means that the output variable y is obtained with the multiplication of the constant of proportionality k and the input variable x.

The constant is obtained as the division of y by x of a point (x,y) different of the origin, as follows:

k = y/x.

Hence, for each relationship, the constant is given as follows:

Relationship A: k = 4/0.8 = 5.Relationship B: k = 55/10 = 5.5. -> different due to the different constant.Relationship C: k = 20/4 = 5.Relationship D: k = 50/10 = 5.

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Help my with this problem please 23 points

Answers

Answer:

  4x² +4x -20

Step-by-step explanation:

You want the difference between 6x² -5x -12 and 2x² -9x +8.

Difference

The difference is found by subtraction. This is the same as adding the opposite.

  (6x² -5x -12) - (2x² -9x +8)

  = 6x² -5x -12  -2x² +9x -8

  = (6 -2)x² +(-5 +9)x +(-12 -8)

  = 4x² +4x -20

<95141404393>

Davis has $20 in his savings account, and he adds $5 every month. Based on this information, which best shows the relationship between the amount of money Davis has in his savings account, y, and the number of months that have passed, x?

Answers

The equation which best shows the relationship between Davis' savings, y and the number of months passed, x is; y = 20 + 5x.

What is the relationship between Davis' savings and the number of months that have passed?

It follows from the task content that the equation which represents the relationship between Davis' savings and the number of months passed be determined.

According to the task content;

Davis has $20 in his savings account, and he adds $5 every month.

Let the total amount of savings be; y andLet the number of months passed be; x.

Therefore, we have;

y = 20 + 5x

This follows from the fact that the amount added after each month is $5.

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How to solve X + 3 <6

Answers

The value of the inequality X + 3 < 6 is x < 3.

What is an inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Based on the information given, the inequality will be illustrated thus:

x + 3 < 6

Collect like terms

x < 6 - 3

x < 3

The value is x < 3.

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Kiran is competing in a bike race. The function rule t(s)=40/s relates the time in hours of a bike race with the average speed, s, in miles per hour. Identify the constant of proportionality and explain what it means in this situation.

Answers

Answer:

Step-by-step explanation:

so,  I was just commenting about word problems to another person and here is a great example of a word problem that is too complex.  They are using the term  "function rule"  that is too broad.  They have probably defined it in some text somewhere and the teacher has mentioned in super briefly, but it's what the question is all about.  We need to understand what "function rule"  really means.   They have also used the varible "s"  which is mostly reserved for  Laplace /  Fourier  transformations.  This is just a really badly written question.   Don't feel bad if  you don't get what it's asking.  it's messy at best.   t(s) is then name of our function,  it's rule ( the function rule)  is 40/s  it's constant of proportionality is 40  ,  This rule would also mean that at the very very start of the race... at .001 into the race, you'll be going 40,000 MPH  , which is obviously not correct.   There probably needs to be some more rule descriptions saying that s is an integer, and it can't be negative. Also note that after 4 hours of racing , the speed would be 40/4 or 10 MPH,  this function rule is probably not accurate after some time.  the speed probably starts out fast,   slows down till the close to the very end of the race... they jumps up dramatically to the finish.   Watch the Tour de France writer of this question.  :D   The riders slow down as the race progress according to this function rule.  But I don't think that's at all accurate for a real bike race.   they slow down only to a point... after the start.... then hold at that speed ... till close to the end.. then speed up a lot... like 50 MPH  :0

A cutomer want to re-carpet a living room and hallway. You charge $5. 99 per quare yard to remove old carpet and $4. 50 per quare yard to intall the new carpet. The carpet and pad they elected are $16. 99 and $3. 00 per quare yard, repectively. The living room i 1712 by 20 feet and the hall i 4 by 12 feet. About how much hould you charge for thi job?

Answers

The total charge for this job is $12131.04.

Charge per square yard to remove old carpet = $5.99

Charge per square yard to install the new carpet = $4.50

Charge for carpet and pad they selected per square yard = $16.99 and $3.00

Dimension of the living room = 17 1/2 by 20 feet

⇒ 35/2 by 20 feet

Dimension of the hall = 4 by 12 feet

The living room and the hall is in the shape of rectangular.

The formula of the area of the rectangle is

A= length x width

the total area of the living room and the hall is

⇒ (35/2) x 20 + (4 x 12)  

⇒ 398 square feet.

The total cost is

⇒ 5.99 + 4.50 + 16.99 + 3. 00

⇒30.48

Thus, the total charge for this job is

⇒398 x 30.48

⇒$12131.04

Total cost (TC) in that is the overall economic cost of production and is made of variable cost, which varies in step with the amount of a terrific produced and includes inputs together with exertions and raw materials, plus fixed cost, which is unbiased of the quantity of an amazing produced and includes inputs that cannot be various in the brief term including homes and machinery, which include probably sunk prices.

Total cost in economics includes the full possibility price (blessings received from the next-nice alternative) of every issue of production as part of its constant or variable prices.

The additional total cost of one additional unit of manufacturing is known as marginal cost.

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How do I find the right degree angle of a triangle?

Answers

Answer: You can find a right degree angle of a triangle when it’s a 90 degrees or if you can see it makes like a square.

The length of a rectangle is 5 m longer than its width.
If the perimeter of the rectangle is 70 m, find its length and width.
length: m
width: m

Answers

Answer:

length: 20m. width: 15m

Step-by-step explanation:

70/2 = 35

35         35

+5          -5

40         30

40/2     30/2

20         15

How to isolate Y when y - 3 = 2/5 (x+4) is the problem

Answers

Explanation:

To isolate the Y from y - 3 = 2/5 (x+4), you need to add 3 from both sides to move it to the right side of the equation:

y - 3 = 2/5 (x+4)

+3         +3

y = 2/5 (x+4) + 3

Answer:

add 3 to both sides

or move 3 across the equal sign, which will change its sign from - to +

= y = 2x + 8 / 5 +

Package a contains 3 birthday cards and 2 thank-you notes and costs $9. 60. Package b contains 8 birthday cards and 6 thank-you notes and costs $26. 60. If x represents the cost of a birthday card and y represents the cost of a thank-you note, how much does each birthday card cost? $1. 33 $1. 50 $2. 20 $3. 10.

Answers

Based on the mentioned information, each birthday card costs $2.2.

Forming the equation based on the mentioned variables. The equation will be formed as -

Cost of birthday cards × number of cards + cost of thank-you notes × number of notes = total cost

Equation for package a

3x + 2y = 9.60 : Equation 1

Equation for package b

8x + 6y = 26.60 : Equation 2

Multiplying equation 1 with 3

9x + 6y = 28.8 : Equation 4

Now subtracting equation 2 from equation 4

9x + 6y = 28.8

-8x (-)+ 6y = (-) 26.60

The result will be :

x = 2.2

Thus, the cost of birthday card is $2.2

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HELP ASPPP SHOW UR WORK PLEASE

Answers

Answer:

Step-by-step explanation:

y + 8= 2(x-1)

y+8=2x-2

y=2x-10

Slope equals 2

I hope this helped!!

Explain how you can tell if the data in a table is a function

use the words input and output in your response ​
please if you don't know this font look it up and copy the and past it they will look it up and see if you copied and pasted it

Answers

Answer:

Okay, sorry for answering a few minutes late!

Step-by-step explanation:

So, for data in a table to be a function, the input must only have one output.

Short and sweet answer, hope this helps!

can you substitute 2x+3y=4 and y=2

Answers

Answer: Yes. The answer is -1.

Step-by-step explanation:

2x+3y=4, y=2

Would look like this: 2x+3(2)=4.

1. Multiply 3 x 2 = 6

2) 2x + 6 =4

3) Subtract 6 from both sides

4) Will look like this: 2x = -2

5) -2 / 2 = -1

Answer: -1

Equation: 2x+3(2)=4.

Answer:

x= -1

Step-by-step explanation:

2x + 3y = 4

2x + 3(2) = 4

2x + 6 = 4

2x = 4 - 6

2x = -2

x = -2/2

x = -1

What fraction is tan 90?

Answers

Value of tan90 is 1/0 which is undefined

Let AB, BC, AC be the base(adjascent side), side opposite to θ, hypotenuse of a right angled triangle respectively.

Now as per sine, cosine and tangent formulas, we have here:

Sine θ = Opposite side/Hypotenuse = BC/ACCos θ = Adjacent side/Hypotenuse = AB/ACTan θ = Opposite side/Adjacent side = BC/AB

It is seen from these formulaes that

Tan θ = sin θ/cos θ

Now, other formulas for trigonometry ratios are:

Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BCSec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / ABCosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC / BC

The other way of representing trigonometric values formulas are:

Tan θ = sin θ/cos θCot θ = cos θ/sin θSin θ = tan θ/sec θCos θ = sin θ/tan θSec θ = tan θ/sin θCosec θ = sec θ/tan θ

Therefore, value of tan90 is undefined.

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The fraction value of tan90° after using trigonometric value is 1/0 that is undefined.

What is trigonometric ratio?
There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given

=> tan 90°

Tan 90 degrees in radians is written as

=>tan (90° × π/180°)

=> 1/0 = undefined.

Hence the fraction value of tan 90° is 1/0 that is undefined.

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Geometry Question help?

Answers

Measure of all angles must equal 180 degrees.

Therefore,
(4x+20) + (2x+34) + x = 180

6x + 54 + x = 180

7x + 54 = 180

7x = 126

x = 18

4(18)+20 = 92

Angle A = 92

2(18)+34 = 60
Angle C = 60 degrees

Unknown angle is 18 degrees because the "x" represents the third angle.

Is r=5 a solution to the inequality below? r<11

Answers

Yes, r=5 is a solution of inequality r<11.

Given the inequality is r<11

Given the value of r is, r=5

Since 5<11

So yes r=5 is the solution of the inequality r<11.

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Timberlee buys 4 shirts for $31 and Riley buys 7 shirts for $54.25. What is the constant of proportionality? Express your answer in decimal form.

Answers

4 shirts ∝ 31

4 = 31k

7 shirts ∝ 54.25

7 = 54.25k

Where k is the constant of proportionality

The constant of proportionality is k = 0.13.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Timberlee buys 4 shirts for $31 and Riley buys 7 shirts for $54.25.

In proportionality terms, we can write as,

4 shirts ∝ 31 _____(1)

7 shirts ∝ 54.25 _____(2)

(1) can be written as,

4 shirts = 31K

7 shirts = 54.24k

Where k is the constant of proportionality.

Now,

The value of k.

From (1)

4 = 31k

k = 4/31

k = 0.13

From (2)

7 = 54.24k

k = 7/54.24

k = 0.13

Thus,

The constant of proportionality is k = 0.13.

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An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3500 feet and Plane B is at an altitude of 1970 feet. Plane A is gaining altitude
at 40.25 feet per second and Plane B is gaining altitude at 65.75 feet per second.

How many seconds will pass before the planes are at the same altitude

What will their height be when they’re at the same altitude

Answers

60 seconds long will it take for the planes to reach the same altitude.

Given that,

Two planes are being monitored by an air traffic controller. Plane A is initially at an altitude of 3500 feet, while Plane B is initially at a height of 1970 feet. The altitude of Plane A is increasing at a rate of 40.25 feet per second, while Plane B is doing so at a rate of 65.75 feet per second.

We have to find how long will it take for the planes to reach the same altitude.

Let us take x as the number of seconds in time.

We get,

3500+40.25x for Plan A.

1970+65.75x for Plan B.

Take,

3500+40.25x=1970+65.75x

3500-1970=65.75x-40.25x

1530=25.5x

x=1530/25.5

x=60

Therefore, 60 seconds long will it take for the planes to reach the same altitude.

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find an equation for the line that passes through the points (-6,-5) and (6,4)

Answers

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}} \implies \cfrac{4 +5}{6 +6} \implies \cfrac{ 9 }{ 12 } \implies \cfrac{3 }{ 4 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ \cfrac{3 }{ 4 }}(x-\stackrel{x_1}{(-6)}) \implies y +5 = \cfrac{3 }{ 4 } ( x +6) \\\\\\ y+5=\cfrac{3 }{ 4 }x+\cfrac{9}{2}\implies y=\cfrac{3 }{ 4 }x+\cfrac{9}{2}-5\implies {\Large \begin{array}{llll} y=\cfrac{3 }{ 4 }x-\cfrac{1}{2} \end{array}}[/tex]

Answer:

[tex]\displaystyle \boxed{ y=\frac{3}{4}x-\frac{1}{2} }[/tex]

Step-by-step explanation:

      First, we will find the slope. This is done by finding the change in y over the change in x.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }= \frac{4--5}{6--6} =\frac{4+5}{6+6}=\frac{9}{12}=\frac{3}{4}[/tex]

      Next, we will find the equation. We will create a point-slope equation and simplify into slope-intercept form.

y - 4 = [tex]\frac{3}{4}[/tex](x - 6)

y = [tex]\frac{3}{4}[/tex]x - [tex]\frac{9}{2}[/tex] + 4

y = [tex]\frac{3}{4}[/tex]x - [tex]\frac{1}{2}[/tex]

if evan does a job in 11 hours and with the help of himari they can do it together in 6 hours, how long would it take himari to do it alone?

Answers

Using World problem : work and time,

Himari will take 13 hour and 12 minutes to complete the job alone.

We have given that

Time taken by Even to do a job = 11 hours

let "x hours" be the time taken by humari to do this job alone .

Even'rate to do a job = 1/11 per hour

Himari and Even work together and do the job in 6 hours .

rate at which both are working together and do the job = 1/6 per hour.

Himari' rate to do job = 1/x hours per day

Now , using the formula "together work "

Even'rate + Himari'rate = rate of together work

=> 1/11 + 1/x = 1/6

we solve the above equation and find out the value of x

multiple both sides with 66x we get,

=> 6x + 66 = 11x

=> 5x = 66

=> x = 66/5 = 13 hours and 12 minute

Hence, Himari will take 13 hour and 12 minutes to do job alone .

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Finding Angle Measures When Parallel Lines Are Cut By a Transversal

Please help i keep asking because i need help and i need to bring my math grade up please help this is urgent!!!!!!!!!!!!

Answers

Answer: Angles 6,2,3 are the same and are all 112 degrees.

Angles 1,4,5,8 are the same and are all 68 degrees.

Step-by-step explanation:

Angles 6,2,3 are all 112 degrees because of diagonal angle rule.

Angles 1,4,5,8 are 180-112=68 degrees because we can use 180 degree angle rule.

Hope this helped, If you have any questions or clarifications, comment below!

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can you substitute y=2x+4 and 6x-3y=-12

Answers

Yes because they are all real numbers
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