Determine the slope and the y-intercept: y = 3x - 1

The length of the measure of YZ is 80cm

Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;

WX = 82cm

Required

Length. of YZ

Using the pythagoras theorem

YV = VZ = √41²-9²

YV = VZ = √1600

YV = VZ = 40

Since YZ = YV + VZ

YZ = 40cm + 40cm

YZ= 80cm

Hence the length of the measure of YZ is 80cm

Learn more on perpendicular lines here: https://brainly.com/question/1202004

#SPJ1

The solution of the system of equations contains one point

The system is given as:

x + y = 6

x - y = 0

Add both equations

2x = 6

Divide by 2

x = 3

Substitute x = 3 in x - y = 0

3 - y = 0

Solve for y

y = 3

So, we have x =3 and y = 3

Hence, the solution of the system of equations contains one point

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ1

The complete proof of the theorem is

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

From the question, we are to complete the given proof

The proof is completed as shown below

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

Learn more on Proof of angle theorems here: https://brainly.com/question/17400232

#SPJ1

Answer:

Original equation:

y = a sin(b(θ -c)) + d

a = vertical dilation (stretch) of the amplitude

b = horizontal compression (shrink) of the period

c = horizontal shift (left/right)

d = vertical shift (up/down)

Your function is:

y = 3 sin(3θ + π) - 2

First, put it into the general from by factoring out the three in the argument of the sine:

y = 3 sin(3(θ + π/3)) - 2

a = vertical (amplitude) dilation = 3

b = horizontal (period) compression = 2π/period = 3

c = horizontal shift = π/3 to the left

d = vertical shift = -2

Chantelle can use the following equation,

n = (Number of stickers) / (Number of friends)

or n = 56/8

Given Information

Chantelle has 56 stickers

⇒ Number of stickers = 56

She will distribute all of the stickers to 8 friends

⇒ Number of friends = 8

The number of stickers each friend will get = n

We have to form an equation for n.

Forming the Equation

Equation for  the number of stickers to be given to each friend is as follows,

n = (Number of stickers) / (Number of friends)

n = 56/8

n = 7

Therefore, Chantelle needs to give 7 stickers to each of her 8 friends. And, the equation used to find this count, n is n = (Number of stickers) / (Number of friends) or n =56/8

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ4

The true statements are :

the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.

The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.

A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers. The whiskers represents the minimum and maximum scores.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median.  The third line on the box represents the upper (third) quartile.

Range for New Orleans = 85 - 50 = 35

Range for Indianapolis = 75 - 25 = 50

Median for New Orleans = 70

Upper quartile for  Indianapolis = 70

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ1

The total number of students in the school is calculated as; 600 students

Usually, some figures are expressed as a fraction of a whole as depicted in this case. Thus, when we are given a fraction of a whole to be equal to a particular figure, we will just cross multiply to get the total number.

We are told that;

Number of students that play a team sport at Lincoln high school = 225

Now, we are told that the number above represents a fraction of 3/8 of the total students in that school.

Thus, if the total number of students in the school is x, then we can say that;

(3/8)x = 225

Multiply both sides by 8 to get;

3x = 1800

x = 1800/3

x = 600 students

Thus, we can conclude that if two hundred and twenty five students play a team sport at Lincoln high school and these students represent 3/8 of the total, then we can say that the total number of students in the school is 600 students.

Read more about Fraction of Total at; https://brainly.com/question/11562149

#SPJ1

The values of the triangles are as follows:

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

learn more on triangle here: https://brainly.com/question/21279088

#SPJ1

Find fog

For real range the domain

Domain is [5,oo)

Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.

Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.

What is system of linear equations?

A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.

Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.

equation 5=20

20-5 = 15

Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.

Learn more about system of linear equations here:

https://brainly.com/question/27664510

#SPJ4

Answer:

-3/2

Step-by-step explanation:

Slope=rise/run

Pick any 2 points and you can see that for every increase in 2 increases for x, there are 3 decreases for y.

Answer:

Rectangular Prism

Step-by-step explanation:

We usually see building shaped as a 3D rectangle. If this is the type of building you are talking about, we use a rectangular prism in order to build the building with correct measurements.

Stronger evidence against the null hypothesis is indicated by: smaller p-values.

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

Learn more about null hypothesis here:

https://brainly.com/question/13045159

#SPJ4

Answer:

Step-by-step explanation:  use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

P ( work/ senior ) = 0.14

The attached table

required

P ( work/ senior )

This is calculated using:

P ( work/ senior ) = n ( work/ senior )/ n ( senior ).

n ( work/ senior ) = 5

n ( senior ) = 25 + 5 + = 35

So:

P ( work/ senior ) = 5/35

P ( work/ senior ) = 0.14

Add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

Learn more about probability at

https://brainly.com/question/24756209

#SPJ4

Answer:

Option A.

Step-by-step explanation:

Demonstration

[tex]y=\frac{7}{4} x+7[/tex]

for x = -4

[tex]y=\frac{7}{4} (-4)+7=-\frac{28}{4} +7=-7+7=0[/tex]

for x= 0

[tex]y=\frac{7}{4}(0) +7=0+7=7[/tex]

for x= 4

[tex]y=\frac{7}{4} (4)+7=\frac{28}{4} +7=7+7=14[/tex]

Hope this helps

Answer:

(D). 6.

Step-by-step explanation:

The number of parts = 1 + 10 = 11.

So 10/11 of the alloy is copper and 1/11 is aluminium.

So the answer is 1/11 * 66

= 66/11= 6 pound,s

A random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.

According to the questions,

A random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random samples of Coldplay ticket prices was obtained.

The two groups of data are independent samples.

Hence, a random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.

Learn more about random samples here

https://brainly.com/question/17040012

#SPJ4

Answer:

B. (-6)(-6)

Step-by-step explanation:

-  X - = +

and 6 x 6 = 36.

Answer:

Step-by-step explanation:

Find the roots of x^2-25=0 by solving for x.

Add 25 to both sides

x^2=25

Square root both sides

x=-5

x=5

Answer:

x=5;x=-5

Step-by-step explanation:

It was right for me

A = 7M is the equation that might be used to find the unknown side length, M, of the rectangular logo.

We can determine the following details from the query:

Logo= rectangle with a

Length ,L= 7-foot

'A' stands for the logo's area, and 'M' for the side that isn't recognized.

The rectangle's area (A) is computed using:

A = L*W

⇒A = 7*M

(As per query, length, L=7 & W= M)

Consequently, the formula 'A = 7M' might be used to calculate the logo's undetermined side length, M.

Learn more about the area of the rectangle here:

https://brainly.com/question/20693059

#SPJ4

Answer:

680

Step-by-step explanation:

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

[tex]tan( \theta) = \frac{opposite}{adjacent} [/tex]

[tex]tan( 61 ^{ \circ}) = \frac{553.3}{ Vic' s\: distance \: to \: tower} [/tex]

[tex]distance = \frac{553.3}{tan ( {61}^{ \circ} )} = 306.7[/tex]

Similarly, we have;

[tex] Dan's distance = \frac{553.3}{tan ( {72}^{ \circ} )} = 179.8[/tex]

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan d is found as follows;

Therefore;

Learn more about Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ1

a. The median is 70, the mode is 60, and the mean is 70.8.

b. Mean best captures the data.

c. When there are outliers, the mean might be a deceptive center measure.

Calculating the Mean, Median, and Mode

Mean: Total number of sunglasses / total quantity of pries

Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25

Mean = 70.8

Median is equal to the (n/2 + 1)th term.

The number of sunglasses in this case is n.

(25/2 + 1)th term as the median

Median = 13th term

Median is 70

Mode is  the most frequent data

Therefore, mode = 70

Why is mean the most appropriate central measure ?

The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.

Learn more about mean here:

https://brainly.com/question/17060266

#SPJ1

Answer:

Step-by-step explanation:

The common ratio of the geometric sequence is 1.5

Common ratio can be described as difference between two numbers in a sequence.

The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term

= 15/10

= 1.5

Hence the common ratio of the sequence is 1.5

Please see the link below for more information

https://brainly.com/question/2386212?referrer=searchResults


#SPJ1

Answer:

B

Step-by-step explanation:

The common ratio of the geometric sequence is 1.5

Common ratio can be described as difference between two numbers in a sequence.

The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term

= 15/10

Please see the link below for more information

brainly.com/question/2386212?referrer=searchResult

1.5

See below for the solution of each question

The points are given as:

(3,60) and (5, 80)

The equation is calculated as:

[tex]C(n) = \frac{C_2 -C_1}{n_2 -n_1} * (n - n_1) + C_1[/tex]

This gives

[tex]C(n) = \frac{80- 60}{5-3} * (n - 3) + 60[/tex]

Evaluate the quotient

C(n) = 10 * (n - 3) + 60

Expand

C(n) = 10n - 30 + 60

Evaluate

C(n) = 10n + 30

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10n + 30

The point (3, 60) means he paid $60 for 3 hours

Here, we have:
Fixed = $10

Hourly rate = $15

The equation is calculated as:

C(n) = Fixed + Rate * Number of hours

This gives

C(n) = 10 + 15n

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10 + 15n

The equation is represented as:

C(n) = 10 + 15n

See attachment for the graph

This is the point where the two lines intersect.

From the graph, we have the point of intersection to be:

(n, C(n)) = (4, 70)

This means that the charges for Comput-Repair and Data-Fix are the same after 4 hours

Based on the point of intersection, it is best that Jargit uses Compu-Repair because they have a lesser hourly rate

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

According to the statement

we have a given that the surgical unit that receives 87 new patients per week.

and we have to tell the data plan to collect the baseline data before testing your change to control the pain across the unit.

And We know that the Data collection is A representative sample is one technique that can be used for obtaining insights and observations about a targeted population group

So,

Collecting data on a representative portion of your population — that is, sampling — allows you to collect baseline data and start making improvements faster, using fewer resources, than would be possible if you tried to look at every patient. Baseline data is important so that you can see if the changes you are testing are leading to improvement. Collecting data about a non representative sample of your population, such as by looking only at patients with the most severe pain, won't show the broad impact of your project on your unit.

So, Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

Learn more about Data collection here https://brainly.com/question/518894

Disclaimer: This question is incomplete. Please read the full content below.

Question:

You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why?

(A) Collect data on the pain level of every patient for at least a year.

(B) Collect data for at least a year, focusing only on patients who have undergone especially painful surgeries.

(C) Collect data on a representative selection of patients for two weeks.

(D) There is no reason to collect baseline data.

#SPJ4

Answer:  12.56

Step-by-step explanation:

4 x 3.14

pi = 3.14