Mathematics High School

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Answer 1

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Find the equation of each line in slope intercept form , the slope is 5 and it goes through the point (2-1)

Answers

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

y + 5 = (5/2)x - 15/2

y = (5/2)x - 15/2 - 5

y = (5/2)x - 15/2 - 10/2

y = (5/2)x - 25/2

Answer:

y = 5x - 9

Step-by-step explanation:

point-slope equation:

y - y1 = m(x - x1)

y + 1 = 5(x - 2)

y + 1 = 5x - 10

- 1 - 1

y = 5x - 9

HELP NEEDED!!!!
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent "the opposite of Liliana's score is equal to Marcus's score"?
A)-18 = 18
B)-(-18) =-18
C)-(18)=-18
D)-(-18)=18
(the answer is not C)

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Items are inspected for flaws by two quality inspectors. Both inspectors inspect every item and the probability that an item has a flaw is 0.1. If a flaw is present,it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 and by the second inspector with probability 0.8. Assume the inspectors function independently.
(a) If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
(b) If an item is passed by the first inspector, what is the probability that it actually has a flaw?
(c) What is the probability that the two inspectors draw different conclusions on the same item?
(d) If an item is passed by both inspectors, what is the probability that it actually has a flaw?

Answers

Answer:

a)0.976

b)0.00926

c)0.2402

d)0.35

Step-by-step explanation:

Let [tex]X_i[/tex] be an item passed by inspector i

Let Y be the event that there is a fault in an item

The probability that an item has a flaw is 0.1 i.e. P(Y)=0.1

If a flaw is present ,it will be detected by the first inspector with probability 0.92 i.e.[tex]P(\bar{X_1}|Y)=0.92[/tex]

So, [tex]P(X_1|Y)=1-0.92=0.08[/tex]

If a flaw is present ,it will be detected by the second inspector with probability 0.7 i.e.[tex]P(\bar{X_2}|Y)=0.7[/tex]

So,[tex]P(X_2|Y)=1-0.7=0.3[/tex]

If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 i.e. [tex]P(X_1|\bar{Y}) = 0.95[/tex]

So, [tex]P(\bar{X_1}|\bar{Y}) = 1-0.95=0.05[/tex]

If an item does not have a flaw, it will be passed by the second inspector with probability 0.8 i.e. [tex]P(X_2|\bar{Y}) = 0.8[/tex]

So, [tex]P(\bar{X_2}|\bar{Y}) = 1-0.8=0.2[/tex]

a)P(found by atleast one inspector | It has flaw )=1-P(found by none inspector | It has flow )

P(found by atleast one inspector | It has flaw )=[tex]1-P(X_1|Y) P(X_2|Y)[/tex]

P(found by atleast one inspector | It has flaw )=[tex]1-0.08 \times 0.3[/tex]

P(found by atleast one inspector | It has flaw )=0.976

Hence the probability that it will be found by at least one of the two inspectors if it has flaw is 0.976

b)[tex]P(Y|X_1)=\frac{P(X_1|Y) P(Y)}{P(X_1|Y) P(Y)+P(X_1|\bar{Y}) P(\bar{Y})}[/tex]

[tex]P(Y|X_1)=\frac{0.08 \times 0.1}{0.08 \times 0.1+0.95 \times 0.9}=0.00926[/tex]

C)P( two inspectors draw different conclusions on the same item)=[tex]P(X_1 \cap \bar{X_2} \cap Y)+P(\bar{X_1} \cap X_2 \cap Y)+P(X_1 \cap \bar{X_2} \cap \bar{Y})+P(\bar{X_1} \cap X_2 \cap \bar{Y})[/tex]

P( two inspectors draw different conclusions on the same item)=0.2402

[tex]P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2)}\\P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2 \cap Y)+P(X_1 \cap X_2 \cap \bar{Y})}\\P(Y|(X_1 \cap X_2))=0.35[/tex]

A right triangle with angle measures of 45, 45, 90 degrees undergoes a reflection, rotation, and translation. Determine whether the angle measure of the image of the triangle are 45, 45 and 90 degrees after each transformation. Choose yes or no.

Answers

Answer:

Reflection - Yes

Rotation - Yes

Translation - Yes

Step-by-step explanation:

After all 3 different transformations, the angle measures of the triangle will stay the same, at 45, 45, and 90 degrees.

This is because these 3 transformations do not change the shape of the triangle. They only change the orientation and placement of the triangle.

So, the angle measures will still be 45, 45, and 90 degrees after each transformation.

Answer:

Yes, the correct answer to this question is Yes.

A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25ft wide by 40 ft high. What are the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement

Answers

Given :

To Find :

The dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement.

Solution :

Area of original bill board :

[tex]A_i=30\times 70 = 2100\ ft^2[/tex]

Area of new bill board :

[tex]A_f=25\times 40 = 1000\ ft^2[/tex]

Since, new bill board can be completely fitted in original bill board as its length and breadth both are smaller than that.

So, the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement is equal to 1000 ft².

Hence, this is the required solution.

All of the following are equivalent, except

(12 + 3)x

12x + 3x

(12 + 3x)x

15x

Answers

All are equivalent expect (12x+3x)x

Does anyone know how to solve 3 by 3 linear systems?

In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.

x-y-2z=4 (1)

-x+3y-z=8 (2)

-2x-y-4z=-1 (3)

Answers

Answer:

x = 3, y = 3, z = - 2

Step-by-step explanation:

Given the 3 equations

x - y - 2z = 4 → (1)

- x + 3y - z = 8 → (2)

- 2x - y - 4z = - 1 → (3)

Add (1) and (2) term by term to eliminate x

2y - 3z = 12 → (4)

Multiply (1) by 2 and add to (3) to eliminate x

2x - 2y - 4z = 8 → (5)

Add (3) and (5) term by term to eliminate x

- 3y - 8z = 7 → (6)

Multiply (4) by 3 and (6) by 2

6y - 9z = 36 → (7)

- 6y - 16z = 14 → (8)

Add (7) and (8) term by term to eliminate y

- 25z = 50 ( divide both sides by - 25 )

z = - 2

Substitute z = - 2 into (7)

6y + 18 = 36 ( subtract 18 from both sides )

6y = 18 ( divide both sides by 6 )

y = 3

Substitute y = 3 and z = - 2 into (1)

x - 3 + 4 = 4

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Solution is x = 3, y = 3, z = - 2

2x+2=4+1x
and we are solving for X

Answers

Answer:

the answer is x = 2

Step-by-step explanation:

2x+2=4+1x

(2x-1x)+2= 4 +(1x-1x)

1x+2=4

1x(2-2)=(4-2

1x=2

2/1=x

x=2

Answer:

The scale factor is 1/4

Step-by-step explanation:

Here, we are interested in finding the scale factor that helped convert the first point to the second.

Hence, what turned (8,12) to (2,3)

What we shall do here is to simply divide term 2 by term i.e

That would be 2/8 or 3/12 = 1/4

The scale factor was 1/4.

Given that,

The point (8, 12) was dilated to become point (2, 3).

We have to determine,

What was the scale factor?

According to the question,

Scale factors are closely related to the concepts of ratio and proportions.

In ratio and proportions, we multiply or divide a given amount to form a new quantity.

The point (8, 12) was dilated to become point (2, 3).

Therefore,

The scale factor was,

[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]

Substitute the points in the formula for the x-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

And substitute the points in the formula for the y-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

Hence, The scale factor was 1/4.

For more details refer to the link given below.

https://brainly.com/question/8765466

Please help me thanks

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Answer:

A. Pair 1

Step-by-step explanation:

B is just repositioned, C is a reflection, and D is also a reflection.

Which of the following has 14.705 in written form?
OA) fourteen and seven hundred five thousands
O B) fourteen and seven hundred five hundredths
O C) fourteen and seven hundred five thousandths
OD) none of the above

Answers

Answer:

Step-by-step explanation:

Answer:

answer choice b

Step-by-step explanation:

hope it helps!!

Does this graph represent a proportional relationship between days and inches?
Explain your reasoning

Answers

the graph is proportional because it’s a straight line going up. there are no curves in the line or open spots. the line also passes through the origin (0,0 intersection)

Evaluate. (-1/3) ^3

Answers

Answer:

[tex]-\frac{1}{27}[/tex]

Answer:

18-726;615+8876-9987

Whatever3443 pls help me someone is murdering me ✌

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Answer:

Step-by-step explanation:

Answer:

Oh no! I'm sorry!

Answer:

Step-by-step explanation:

y - 5 = 1/2(x - 4)

y - 5 = 1/2x - 2

y = 1/2x + 3

ILL GIVE BRAINLIEST !
What can FOIL be used for?

Answers

Answer:

I can be used for thermal conductivity, Electrical conductivey, fake grills for teeth lol, ac conducters, and more

Step-by-step explanation:

Answer:

If you mean FOIL (as in first, outside, inner, last)

it is primarily used to distribute a factor properly.

⚠PLEASE! THIS IS DUE TONIGHT! FREE BRAINLIEST!⚠

UX bisects ∠VUW. Complete the proof that △UWX≅△UVX.
the asnwer is either SAS or SSS

Answers

Answer:

SAS theorem

Step-by-step explanation:

Answer: SAS theorem :-D BREH

Step-by-step explanation:

A car travels a distance of 1280 metres at an average speed of 64 kilometres per hour.
Ра:
Calculate the time it takes for the car travel this distance,
Give your answer in seconds

Answers

Answer:

The answer is 20 hours

Step-by-step explanation:

This is becuase 1280 divided by 64 equals 20. There are no unit coversions.

In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Given that,
A car travels a distance of 1280 meters at an average speed of 64 kilometers per hour.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Time = distance/speed
Time. t = 1.280 / 64

t = 0.02 hours

Thus, In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ2

Jennifer received a coupon for 40% off her purchase of a regularly priced item from her favorite
store. If Jennifer wants to order a shirt from the store that is originally $30, how much would
she have to pay for the shirt after the coupon?

Answers

Answer:

18$

Step-by-step explanation:

What is the equation of this line?

Answers

Answer:

y=4/3x‒4

Step-by-step explanation:

first list the pairs as the following

{(3,0),(0,‒4)}

&prove your answer by substitute the pairs instead of x&y

when we substitute the pairs (3,0)

y=4/3x‒4

0=4/3(3)‒4

0=4‒4

0=0

when we substitute the pairs (0,‒4)

y=4/3x‒4

‒4=4/3(0)‒4

‒4=0-4

‒4=‒4

so i hope my answer helps you

Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?

Record your answer in the grid below.

Be sure to use the correct place value.

8 points total Show work in order to receive full credit.

7 points correct answer

1 point correct bubbling on grid

Answers

Answer:

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = [tex]x[/tex]

Number of water bottles left with Sylvia = [tex]24-x[/tex]

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = [tex]3x[/tex]

Number of water bottles left with Sam = [tex]36-3x[/tex]

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

[tex]24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}[/tex]

So, number of water bottles sold by Sylvia = 6

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Answers

Answer:

Step-by-step explanation:

Answer:

B.) 2 2/5

Step-by-step explanation:

If you find the answer to the question, you get the same answer as B.

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