Line n intersects lines I and m, forming the angles
shown in the diagram below.
(6x + 42)
(18x-12)
Which value of x would prove | m?
✦ M

Answer:

m = 1/4

Step-by-step explanation:

Slope is defined as

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

There are two solid points

(4,0) (-4,-2)

So using that equation

=(-2-0)/(-4-4)

=(-2)/(-8)

=1/4

Slope is 1/4

Answer:

The dimensions of the sand volleyball court are 17 meters by 8 meters.

Answer:

$2.11

Step-by-step explanation:

Let's call the number of dimes x.

The number of pennies is two times the number of dimes minus 1, so 2x - 1.

The number of quarters is three times the number of dimes minus 2, so 3x - 2.

So, we know that we have x dimes, 2x - 1 pennies, and 3x - 2 quarters

In terms of money, we can find the total by converting each coin to its value in dollar.

x dimes = x * $0.10 = $0.10x

(2x - 1) pennies = (2x - 1) * $0.01 = $0.02x - $0.01

(3x - 2) quarters = (3x - 2) * $0.25 = $0.75x - $0.50

Now we can add these three equations to find the total money.

$0.10x + $0.02x - $0.01 + $0.75x - $0.50 = $0.87x - $0.51

Given the x = 3, we can substitute it in the above equation

$0.87*3 - $0.51 = $2.11

So, the answer is $2.11

Answer:

Step-by-step explanation:

a. To find the area of the bedroom suite, we need to add the area of the main bedroom and the area of the two square inches. The main bedroom has a length of 7/8 inches and a width of 1/2 + 2(1/4) inches. To find the area, we multiply the length and width:

What does a math area mean?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

(7/8 inches) * (1/2 + 2(1/4) inches) = (7/8 inches) * (1/2 inches + 1/2 inches) = (7/8 inches) * 1 inches = 7/8 square inches

The two square inches have a length and width of 1/4 inches each, so their combined area is:

2 * (1/4 inches)^2 = 2 * 1/16 square inches

Adding the area of the main bedroom and the area of the two square inches, we get:

7/8 square inches + 2 * 1/16 square inches = 7/8 square inches + 1/8 square inches = 15/8 square inches

b. To find the area of the bathroom, we multiply the length and width:

(1/2 inches) * (3/8 inches) = 3/16 square inches

c. To find the cost of carpeting the bedroom and closet, we need to find the combined area of both in square feet, and then multiply by the cost per square foot.

First, we need to convert the measurements of the bedroom and closet from inches to feet. We can do this by dividing each measurement by 12:

Bedroom: (15/8 inches) / 12 = 5/32 feet

Closet: (3/8 inches) / 12 = 1/32 feet

Then we add the area of both:

(5/32 feet) + ( 1/32 feet) = 6/32 square feet

Finally, we multiply by the cost per square foot:

6/32 square feet * $12/square foot = $9/4

So it would cost $9/4 to carpet the bedroom and closet.

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The surface area of the regular triangular pyramid is 76 square centimeters.

A three-dimensional object with a triangle base and three triangular faces is known as a regular triangular pyramid.

Given:

A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles.

It has a lateral surface area of 57 square centimeters.

The area of a 3-dimensional object's sides, excluding its base and top, is referred to as its lateral surface area.

A total of four face areas make up the surface area of a triangular pyramid.

The area of one face = lateral surface area / 3

57 / 3 = 19

The surface area = 19 x 4 = 76

Therefore, the surface area is 76 square centimeters.

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If A = {1, 3, 5} then it must contain 9 equivalence relations.

A relation that is reflexive, symmetric, and transitive is called an equivalence relation.

A = {1, 2, 3}

For equivalence relation containing (1, 3)

For symmetric, it must consist (1, 3) and (3, 1).

For transitivity, it must consist (1, 3) and (3, 2) and (1, 2),(2, 1),(2, 3),(3, 1)

For reflexivity, it must consist (1, 1) and (2, 2),(3, 3)

⇒ R = {(1, 1),(2, 2),(2, 3),(3, 3),(1, 2)(1, 3),(2, 1),(3, 1),(3, 1)}.

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In case of the following perpendicular triangles-

Part 1)  x=8

Part II mRSU=133°

mUST=47° (Part 3).

mWSV=43° (Part 4).

5th Part mVSU=137°

Explanation in detail:

To better understand the issue, please examine the accompanying figure.

Part 1) Determine the value of x.

We are aware that

mRSU and mUST are auxiliary angles (by linear pair)

so m∠RSU+m∠UST=180°

We now have

m∠RSU=(17x-3)°

m∠UST=(6x-1)°

Substitute the provided values for x and solve

Part 2) Determine the value of mRSU.

We now have

m∠RSU=(17x-3)°

replace the value of x

m∠RSU=17(8)-3=133°

Part 3) Determine the value of mUST.

We now have

m∠UST=(6x-1)°

replace the value of x

m∠UST=6(8)-1=47°

Part 4) Determine the value of mWSV.

We are aware that

mRSW=mUST ——-> by means of vertical angles

so

m∠RSW=47°

mRSW+mWSV=90° ----> issue presented (SV perpendicular RT)

Substitute mRSW for the value of mWSV and solve for mWSV.

47°+m∠WSV=90°

m∠WSV=90°-47°=43°

Part Part 5) Determine the value of mVSU.

We are aware that

m∠VSU=m∠VST+m∠UST

We now have

mVST=90° ----> provided issue (SV perpendicular RT)

m∠UST=47°

substitute

m∠VSU=90°+47°=137°

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For instance, to calculate the value in square centimeters for an object with a rectangle shape, multiply the length and width measurements. The formula is 15cm*10cm, which equals 150 cm2 for a measurement of 15cm in length and 10cm in width.

A measurement unit known as the square centimeter is best suited for measuring small areas, such as those on drawings. A square with one centimeter on each side is used to define it. The area is measured using this unit. It is abbreviated as sq.cm or cm2.

Here,

To compute the area of a shape in square centimeters, the shape must first be measured before using the proper equation. The form of the object is measured using a metric measuring stick or measuring tape.

For instance, to calculate the value in square centimeters for an object with a rectangle shape, multiply the length and width measurements. The formula is 15cm*10cm, which equals 150 cm2 for a measurement of 15cm in length and 10cm in width.

A square centimeter's dimensions

100 square millimeters make to one square centimeter.

1 square centimeter is 0.15500031 square inches. 10 micrometers square

1 sq cm 0.00107639 square feet.

1 sq cm is 0.00000002 acres.

1 square centimeter is 0.00000001 acre.

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The complete question is "What is the area of below given figure having dimension as 16cm ,11,cm ,6cm and 8 cm ? "

Answer:

y = 14 and lh = 16

Step-by-step explanation:

i already answered this in ur other question

Answer:

  55.56925 hours

Step-by-step explanation:

You want to know how long it would take 1/4 million species of beetle to embark an ark up a 5 m gangplank if each beetle is 1 cm long, they are separated by 7 cm, and they move at 10 cm/s.

The last beetle must cover a distance that is the 500 cm gangplank plus the total length of beetle and separation distance of the 249,999 beetles in front of it, plus its own length.

  (1/4 million -1)×(1 +7 cm) +1 cm = 2,000,493 cm

The time required is the distance divided by the speed:

  (2000493 cm)/(10 cm/s) = 200049.3 s

There are 3600 seconds in an hour, so this is ...

  200049.3 s/(3600 s/h) = 55.56925 h

The 1/4 million species can be loaded in 55.56925 hours.

__

Additional comment

The time is converted to hours : minutes : seconds by recognizing there are 60 minutes in an hour, and 60 seconds in a minute. That time is ...

  55 hours 34 minutes 9.3 seconds

It will take 27.8 hours for all beetles to embark onto the ark.

Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

There are 1/4 million beetles

= 250,000 beetles

they move side by side in pairs

250,000 /2 = 125,000 pairs form a line.

Length of each beetle 1 cm

space of 7cm between them

total distance = 8cm.

125,000 form a line

so total length = 125,000 * 8 = 1000,000 cm is the length of the line.

the length of the plank = 500 cm

so the distance covered = 1000,000+500 = 1000,500 meters

distance = 1000,500 cm

speed = 10 cm/s

Time = distance / speed

Time = 1000,500/10

Time = 100050 seconds

        = 100050/3600 hours

        = 27.8 hours

Hence, all 1/4 million species will take 27.8 hours to embark onto the ark.

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Answer:

15 crickets

10 ladybugs

Step-by-step explanation:

Let [tex]g[/tex] be the number of grasshoppers Jeff finds.

Let [tex]c[/tex] be the number of crickets Jeff finds.

Let [tex]l[/tex] be the number of ladybugs Jeff finds.

[tex]c=g+10\\c=l-5\\[/tex]

if [tex]g=5[/tex] then sub that into the first equation.

[tex]c=(5)+10\\\\c=15[/tex]

Jeff finds 15 crickets.

[tex]15=l-5\\15-5=l\\l=10[/tex]

Jeff finds 10 crickets.

In this case, the denominator degrees of freedom is 18 - 3 = 15.

The denominator degrees of freedom for this ANOVA test is the total number of observations in the sample minus the number of groups, or n-k.

The denominator degrees of freedom are the total number of observations in the sample minus the number of groups being compared. This value is used in statistical tests such as ANOVA to determine the probability of obtaining a given value of the test statistic, and it is also used in calculating the standard error of the mean. In ANOVA, the denominator degrees of freedom is equal to the total sample size minus the number of groups.

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Answer:The answer is D (15)(5)



Step-by-step explanation:

To find the area of a parallelogram the formula it b×h. Base and height and the base is 15cm and the height is 5cm so the answer is d because 7 isn't the base or height it is a slant.

Answer: C

Area = Base x Height (15)(5)

Answer:  look below

Step-by-step explanation:

You need to count the persons and classify them into four groups.

1) 30 and younger with facial hair: 4 people

2) older than 30 with facial hair: 5 people

3) 30 and younger without facial hair: 3

4) older than 30 without facial hair: 4

(a)

Create a two-way table of the data. Of the men surveyed, how many were  

30 and younger? How many men did not have facial hair?

This is the table using the data classified:

                          --------------------------------------------------------------

                         |with facial hair    | without facial hair | total |

-------------------------------------------------------------------------------------

30 & younger     |     4                     |   3                              |  7      |

-------------------------------------------------------------------------------------

older than 30     |    5                      |   3                              |   8       |

-------------------------------------------------------------------------------------

Total                   |    9                      |   6                             |  15    |

-------------------------------------------------------------------------------------

7 men were 30 and  younger.

6 men did not have facial hair.

(b) Create a two-way relative frequency table that displays the relative

frequency of the men 30 and younger and of the men older than 30 who  

had or did not have facial hair.  

Express your answers as decimals  

written to three decimal places.

This is the table:

                          ---------------------------------------------------------------

                         |with facial hair    | without facial hair | total  |

-------------------------------------------------------------------------------------

30 & younger     |     4/15                |   3/15 = 1/5                |  7/15  |

-------------------------------------------------------------------------------------

older than 30     |    5 /15 = 1/3      |   3/15 = 1/5                |   8/15   |

-------------------------------------------------------------------------------------

Total                  |    9/15 = 3/5        |   6/15 = 2/5                 |  1      |

-------------------------------------------------------------------------------------

This is the answer showing three decimal digits:

                          ---------------------------------------------------------------

                         |with facial hair    | without facial hair | total  |

-------------------------------------------------------------------------------------

30 & younger     |    0.267                |   0.200                |0.467  |

-------------------------------------------------------------------------------------

older than 30     |    0.333               |   0.200                |0.533   |

-------------------------------------------------------------------------------------

Total                  |      0.600              |   0.400                 |  1      |

-------------------------------------------------------------------------------------

(c) What percentage of men older than 30 had facial hair?

Percentage = relative frequency * 100 % =  (1/3)*100 % = 33.33%

Solution

let the cost of book be x and cost of pen be y

as per the question x+y=30------equation 1

it is also given that cost of book is double the cost of pen so

x=2y-------- equation 2

substituting x=2y in equation 1 we get

2y+y=30

3y=30

y=30/3=10

substituting y=10 in equation 2 we get

x=2{10}

x=20

cost of book is 20 and cost of pen is 10

Answer:

y=108

Step-by-step explanation:

[tex]\frac{1}{3} y-12=\frac{2}{9} y[/tex]

=-12=-1/9y

y=-12times -9=108

The mean of the new control group is 237.4.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

The given data is 225 248 221 242 235 246 250 224 241 242.

Now, the mean is

(225+248+221+242+235+246+250+224+241+242)/10

= 2374/10

= 237.4

Therefore, the mean of the new control group is 237.4.

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Answer:

Step-by-step explanation:

blah blah blah

The equation of the sphere using the endpoints of the diameter is equal to x² + 20x  + y² + 18y  + z² - 20z + 269 =0.

Let us consider coordinates of the endpoints of the diameter of a sphere are :

( x₁ , y₁ , z₁ ) =  (-18, -17, 2)

( x₂ , y₂ , z₂ ) = (-2, -1, 18)

Let 'd' , 'r' , 'c' represents the diameter , radius , and center of the sphere

d² = ( x₂ - x₁ )² + ( y₂ - y₁ )² + ( z₂ - z₁ )²

⇒ d² = ( -2 + 18 )² + ( -1 + 17 )² + ( 18 - 2 )²

⇒ d² = 256 + 256 + 256

⇒d² = 768

⇒ d = 4√3

Radius 'r' = d/2

               = 4√3 /2

               = 2√3

center coordinates of the sphere

= [ ( x₁ + x₂) /2 ,  ( x₁ + x₂) /2 ,  ( x₁ + x₂) /2]

= [  ( -2 - 18) /2 , (-1 -17 )/2 , ( 18 + 2 )/2 ]

= ( -10 , -9 , 10 )

Equation of the sphere is :

( x -(-10))² + ( y - (-9))² + ( z - 10 )² = r²

⇒( x+ 10 )² + ( y + 9)² + ( z- 10 )² = ( 2√3)²

⇒ x² + 20x + 100 + y² + 18y  + 81 + z² - 20z + 100 = 12

⇒ x² + 20x  + y² + 18y  + z² - 20z +281 - 12 =0

⇒ x² + 20x  + y² + 18y  + z² - 20z + 269 =0

Therefore, the equation of the sphere with endpoints of the diameter   (-18, -17, 2) and (-2, -1, 18) is given by :

x² + 20x  + y² + 18y  + z² - 20z + 269 =0

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Translate the word problem into a system of equations, with x representing true/false questions and y representing multiple choice questions:

(1) [tex]x+y=20[/tex] <-- a test has 20 total questions

(2) [tex]4x+8y=100[/tex] <-- the test is worth 100 total points

Now we have a system of two equations with two unknowns, which we can solve with the elimination method.

Let's multiply equation (1) by -4 so that we can eliminate x from the system:

[tex]-4x-4y=-80[/tex]

Now, add this new equation to equation (2) to eliminate x so that we only have one variable left:

[tex]4y=20[/tex]

Solve for y:

[tex]y=5[/tex]

Now, substitute this value for y into either the original equation (1) or (2). I will do equation 1 for simplicity:

[tex]x+5=20[/tex]

Solve for x:

[tex]x=15\\[/tex]

Notice that we now have values for both x and y, so we are done. We now know that there are 15 true/false questions and 5 multiple choice questions on the test!

The equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.

Writing an equation for a line in the form y = mx + b is known as slope intercept form in mathematics. The m indicates the line's slope, while the b indicates the y-intercept. When attempting to locate a point on a line or determine y given x, the slope intercept form is utilized.

The equation may be constructed as soon as it is realized that the Y-coordinates of the provided two points through which the line travels are identical.

y = -4, or, y + 4 = 0

This behaviour of points on a line occur, when and only when, the line exists Horizontal,

i.e., line [tex]$\|$[/tex] to the x-axis.

Use the formula for the equation of a line passing through the points

[tex]$\left(x_1, y_1\right)$[/tex] and [tex]$\left(x_2, y_2\right)$[/tex] given by, [tex]$: \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$[/tex]

substitute the values in the above equation, we get

[tex]$\frac{y+4}{x-0}=\frac{-4+4}{5-0}=0 \Rightarrow y+4=0$$[/tex]

Therefore, the equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.

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We can see here that the value of n = 16.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.

Below is how we got n.

We can see that having: [tex]\frac{(q^{4} )^{-3} }{q^{-15} }[/tex]

[tex]\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}[/tex]

Thus, [tex]\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }[/tex]

∴ [tex]\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}[/tex]

Therefore, [tex]q^{n} = q^{16}[/tex]

Thus, n = 16.

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The proportion of children with an MDI of at least 80 is approximately 0.0062.

Hence, option (c) is the correct answer.

The proportion of children who have an MDI of at least 80 can be found by using a standard normal table.

Now we will find the z-score for 80, and then find the corresponding cumulative probability.

With mean = 100 and

standard deviation = 8,

we have z = (80 - 100) / 8

=> z = -2.5.

Using a standard normal table,

we find that the cumulative probability for z = -2.5 is approximately 0.0062.

The standard normal distribution table is a collection of regions from the standard normal distribution, sometimes referred to as a bell curve, and it shows the size of the region under the bell curve and to the left of a particular z-score to illustrate probabilities of occurrence in a specific population.

The required standard normal table is attached below:

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The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.

Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1. Therefore, there are 2 possibilities for each xi. The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.

This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.

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Answer:

Where is your question

Step-by-step explanation:

I need it to solve the problem

On solving the provided question we can say that by unitary method  1/4 tickets sold were bought by teachers , so teachers bought = 20/4 = 5, so students cost was = 15*8 = $120

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

by unitary method

1/4 tickets sold were bought by teachers ,

so teachers bought = 20/4 = 5

so students cost was = 15*8 = $120

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Answer:

the answer to this would be  7x - y =  -4

Step-by-step explanation:

you move the 7x in front of the y which causes the 4 to become negative which then causes the 7x to be subtracted from y

hope this helped

Mutual information=I(x, y)=0

By definition,                                      

Mutual information=I(I(x, y)=          
       
Σ^(X, Y) p( x, y) x log (p(x, y)/p(x)P(y))

due to independence, we can write
:
for all (x ,y) : p(x, y)=p(x) x p(y),   plugging this in above, we get
:
Mutual information=I(X ,Y)= Σ^(X, Y) p( x, y) x log (p(x, y)/p(x)P(y))
=Σ^(x ,y)P(x, y)x log(1)=0

so,  Mutual Information = I(X,Y) = 0



A binary variable is one with only two possible outcomes. A binary categorical variable is something like sex (male/female) or having a tattoo (yes/no).        

By defining a "success" and a "failure," a random variable can be transformed into a binary variable.        
For instance, divide age into two categories: less than 35 and 35 or more.


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