1.11 which graphical display should you use? for each of the following scenarios, decide which graphical display (pie chart, bar graph, stemplot, or histogram) you would use to describe the distribution of the variable. give a reason for your choice and, if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative

"Study smart one triangle has vertices a,b, and c. another has vertices t, r, and i, are the 2 triangles similar?"

It is not possible to determine if the two triangles are similar based on the information provided.

In order for two triangles to be similar, they must have the same shape but not necessarily the same size. The sides of the two triangles must be in proportion and corresponding angles must be congruent.

Similarity between two triangles can be determined by using the criterion of AAA similarity or SAS similarity, which states that two triangles are similar if:

without knowing the measures of the angles and sides of the triangles, it is impossible to determine if the two triangles are similar.

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Answer:

[tex]\angle I \cong \angle F[/tex]

Step-by-step explanation:

The angles included between the pairs of sides with proportional side lengths must be congruent to prove similarity by SAS.

The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.

The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.

Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.

By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.

The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random  number between 5 and 11 from the range of 1 to 15.

Number of events = 7

Total events = 15

Probability =  7/15

Probability = 0.46

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Answer:

y=-6/1x-8

Step-by-step explanation:

a. The amount of money that he lost will be $136.

b. The amount of money that he earned will be $32.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Miguel is working at the area fair. On Friday, he works at the snack bar. On Saturday, he works at the inflatable dart corner. At the inflatable dart corner, players are charged $1 for the opportunity to toss 3 darts. Prizes worth $4 each are granted to players who pop somewhere around 2 inflatables. Last year, 4 out of 12 players popped 2 inflatables and 1 out of 12 players popped 3 inflatables.

If the ratio of winners to players is the same this year and 204 people play the​ game. Then the amount of money is given as,

⇒ $1 x 204 - $4 x (1/12 + 4/12) x 204

⇒ $204 - $340

⇒ - $136

A negative sign represents the amount lost.

If Miguel requires players to pop 3 balloons to win a prize and 43 players still​ win. Then the amount of money is given as,

⇒ $1 x 204 - $4 x 43

⇒ $204 - $172

⇒ $32

A positive sign represents the amount earned.

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Answer: y=3 - 1/2x

Step-by-step explanation:

The line is sloping down, so the slope is negative. The y-int is 3, and it goes down one, right 2

Answer: y = -1/-2x + 3  or y = 1/2x +3

Step-by-step explanation:

you first find the y intercept of the equation y = mx+b

to do this you go to 0 and find count up or down until it crosses the y axis(3).

from there you find your slope count up or down and left and right

slope formula is m=rise over run (-1/-2).

then you plug in your numbers to slope intercept form.

The answers of the equations are (x,y) = ((11/3),(8/3)), x = -4 & y = -9/2 and x = -16/7 & y = 4/7.

1. To solve the system of equations using the substitution method, we can solve one of the equations for one of the variables and substitute that into the other equation.

3x - 4y = -5

-x + 2y = 3

Solving the first equation for x:

3x = 4y - 5

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

Substituting this into the second equation:

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

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

y = (8/3)

Now we can substitute this back into the first equation to find x:

3x = 4((8/3)) - 5

3x = 16 - 5

3x = 11

x = (11/3)

So the solution to the system is (x,y) = ((11/3),(8/3))

2. 3x-4y=9

-3x+2y=-9

multiply the first equation by -3 and add it to the second equation:

-9x + 12y = -27

-3x+2y=-9

-9x+14y=-36

x = -4

y = -9/2

3. x+6y=2

5x+4y=36

multiply the second equation by -1 and add it to the first equation:

x+6y=2

-5x-4y=-36

-4x+2y=-34

x = -17/2

y = 17

5x-2y=6

-3x+y=2

multiply the first equation by -3 and add it to the second equation:

-15x+6y=-18

-3x+y=2

-18x+7y=-16

x = -16/7

y = 4/7

Therefore, The answers of the equations are (x,y) = ((11/3),(8/3)), x = -4 & y = -9/2 and x = -16/7 & y = 4/7.

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Answer:

Point Form:

(−2,2)

Equation Form :x=−2,y=2

Step-by-step explanation:

:)

No problem at all! Getting on it now.

So if you want to eliminate variables, do this.  :)

-3x + 2y = 10
6x + 6y = 0

Maybe something you didn't know is that you can multiply one set by a number.  Watch this!

2(-3x + 2y) = 2(10)
6x + 6y = 0  [You don't have to multiply this set by 2.]

-6x + 4y = 20
6x + 6y = 0
Set it up like addition!

0x + 10y = 20

= 10y = 20

So you found what y is, after you divide 10y by 10 and 20 by 10.  Y = 2!  Then use substitution to put it back in and find x.

-3x + 2(2) = 10
6x + 6(2) = 0

So -3x + 4 = 10.  Subtract 4 from both sides to cancel it out.  This is now -3x = 6.  Divide -3x by -3 and 6 by -3 to get x = -2.  Yay!!

The values are (-2, 2).  :)  If you graph it out, you can even see that that is where the lines intersect!!

(attached file)
How cool is that!

D- f = 5 + 3d f≤ 65 system of equation and inequality models the distance traveled by the person.

Inequality in math is when one number or value is not equal to another. It can be expressed using symbols such as ">," "<," "≥," and "≤," which are used to indicate whether a value is greater than, less than, or equal to another. Inequalities are used to express mathematical relationships, such as the balance of a budget. Inequality can also be used to represent the difference between two values, or the amount of change that has occurred.

This system of equation and inequality models the distance traveled by the person in the given scenario. The equation f = 5 + 3d represents the total cost of the cab fare, where 5 is the base fare and 3 is the cost per mile. The equation f≤65 represents the constraint that the total cost of the cab fare must be less than or equal to 65 dollars. Therefore, the person can travel a maximum distance of d = (65 - 5) / 3 = 20 miles for their given budget of 65 dollars.

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The graph that shows the number of light bulbs, y, changes as the number of light panels, x, changes is given below.

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given that, In an office, each light panel holds two light bulbs.

Number of light bulbs, y, for 1 light panel, x = 2

When x = 1, y = 2

Since the function is linear,

When x = 2, y = 2 × 2 = 4

When x = 3, y = 2 × 3 = 6

This will goes on.

Points on the graph are (1, 2), (2, 4), (3, 6), ......

Hence the graph which represents the situation is given below.

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The number 23 means 2 tens and 3 ones.

The place value of 23 refers to the position of each digit in the number and its corresponding value.

In the number 23, the digit 2 is in the tens place and has a place value of 2 x 10^1 or 20. The digit 3 is in the one's place and has a place value of 3 x 10^0 or 3.

So, the number 23 means 2 tens and 3 ones.

It's important to note that the place value system is a way of representing numbers using digits and it's based on powers of 10. The ones place is 10^0, the tens place is 10^1, the hundreds place is 10^2, and so on.

Therefore, The number 23 means 2 tens and 3 ones.

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Rodney's family can save $ 20 by purchasing a family pass instead of 4 individual passes.

To find the saving in the given problem, calculate the money that can be spent by purchasing a family pass and by purchasing 4 individual passes and find the difference between them.

Here we have

Rodney's family is thinking about buying a family pass to a gym. The pass is $60 for a family of 4. Individual passes are $20 each.  

If Rodney's family buys a family pass then the cost = $ 60

If they buy Individual passes, then the total cost = 4 × $ 20 = $ 80

Difference between two costs = $ 80 - $ 60 = $ 20

Therefore,

Rodney's family can save $ 20 by purchasing a family pass instead of 4 individual passes.

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Answer:

$18,450

Step-by-step explanation:

Weekly salary = $450
This is a fixed amount regardless of whether she sells  a house or not

The house she sold last week was $225,000
Her 8% commission works out to 225,000 x 8/100

= $18,000

So total that Sharon earned last week = $18,000 + $450 = $18,450

Answer:

just need points and the anser would be

Step-by-step explanation:

6

Answer:

Step-by-step explanation:

For (a), draw a horizontal line that crosses 1600 on the y-axis and the graph.

For (b), find the x coordinates of the point that makes the y coordinates 1600. So the coordinates would be (420,1600) which means that he needs to sell 420 boxes.

For (c), mark the spot between 360 and 480 and write 420 under it.

~7.62.

Using the Pythagorean Theorem, a^2 + b^2 = c^2, we find the legs of the triangle. Going down, we have 7 units. Going to the right, we have three units.

7^2 + 3^2 = 49 + 9 = 58

Now, we have to square root 58 since we squared the summation of 7^2 and 3^2.

(sqrt 58) ~ 7.62

Answer: The answer you chose was correct

Step-by-step explanation:

Angle y = 60 + 65 = 125 degrees

Mendelian genetics uses probability pedigrees and chi-square statistics to study the patterns of inheritance of traits. Probability pedigrees are diagrams to calculate chance of inheritance, while chi-square statistics is a test to compare observed data to expected results.

Mendelian genetics is the study of inheritance patterns of traits from parent to offspring. It is based on the work of Gregor Mendel, a 19th century monk and scientist who studied the inheritance of traits in pea plants. Probability pedigrees are diagrams that can be used to calculate the chance of a certain trait being passed down from generation to generation. These diagrams represent the relationships between family members, and the likelihood of a trait being inherited from a parent. Chi-square statistics is a statistical test used to compare observed data to expected results. This is often used to determine the likelihood that an observed trait is inherited from a parent. The chi-square test is used to measure the amount of deviation from the expected, and can help to identify patterns of inheritance. By using probability pedigrees and chi-square statistics, researchers can gain a greater understanding of the patterns of inheritance in a population. This knowledge can be used to develop strategies to prevent or treat diseases that have a genetic component.

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Kevin bought dinner four times.

As per the data given in the above question are as bellow,

The details provided are as bellow,

Kevin is compensated for $3 hours.

Kevin is paid $1 per week.

Rides the bus $6 times and at the end of the week has nothing,

How many meals did he purchase?

The sum of Kevin's hourly wage and weekly stipend is equal to

3 * 14 + 21 = $63.

He takes the bus six times, thus the cost of the bus journey is six times =$2.50

=$15.

Kevin still has

=$63 - $15

= $48 in his pocket.

But if he has no money left at the end of the week, the number of times he purchased meals is equal to

=48/12

= $4.

Kevin bought supper as a result four times every week.

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Answer: 17

Step-by-step explanation:

Start with (-2 = 5 ) if I’m correct that should be 3

Add 3x 5x and 6x which is 14 then add 3 which is 17x

The inverse of -2 is 1/2. This is because the inverse of any number is the number multiplied by its reciprocal, which in this case is 1/2.

The inverse of a number is its reciprocal. The inverse of a number is the number multiplied by its reciprocal.

For example, the inverse of 4 is 1/4, and the inverse of -3 is -1/3. The inverse of a number is also known as its multiplicative inverse.

Additionally, it is useful in understanding inverse functions, which are functions that when applied to a number, give the inverse of that number.

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Person B will be rated the highest on their eligibility for a home loan. The solution is obtained using debt-to-income ratio.

What is debt-to-income ratio?

Lenders use the debt-to-income (DTI) ratio, which measures what proportion of your gross monthly income is utilised to pay your debts each month, to assess your risk of borrowing.

Now, let's evaluate the debt-to-income ratio of all persons.

Person A

Home value= $95,000

Income= $46,000

Savings= $20,000

Recurring Debt= $310

Debt-to-income ratio = 310/46000 = 0.007

Person B

Home value= $107,000

Income= $53,000

Savings= $13,910

Recurring Debt= $198

Debt-to-income ratio = 198/53000 = 0.004

Person C

Home value= $120,000

Income= $58,000

Savings= $18,000

Recurring Debt= $265

Debt-to-income ratio = 265/58000 = 0.005

Person D

Home value= $128,000

Income= $60,000

Savings= $19,200

Recurring Debt= $400

Debt-to-income ratio = 400/60000 = 0.007

Hence, Person B will be rated the highest on their eligibility for a home loan because his debt-to-income ratio is the lowest.

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6. The correct option is (a) a critical value of za/2

7. The correct option is (c) 6627

6. In this case, since the population standard deviation is unknown and the sample size is relatively small (n = 9), a margin of error should be calculated using a critical value of ta/2. This is because when the population standard deviation is unknown and the sample size is small, the t-distribution should be used to calculate the margin of error, as it takes into account the additional uncertainty that arises from estimating the population standard deviation from the sample. The t-distribution is more forgiving for small sample sizes, and it gets closer to the normal distribution as the sample size increases.

7. To construct a 90% confidence interval estimate of the mean of the population, we can use the following formula:

Mean ± (t*critical value) * (standard deviation/√n)

Where t*critical value is the critical value of t-distribution with n-1 degrees of freedom at a 90% level of confidence, and standard deviation is the standard deviation of the sample, and n is the sample size.

To find the critical value of t-distribution with 14 degrees of freedom at a 90% level of confidence, we can use a t-table or a calculator.

For the given sample, the standard deviation is 345, the mean is 6784 and n=15. Plugging these values in the above formula gives:

6784 ± (t*critical value) * (345/√15)

As we are using 90% level of confidence, t*critical value is approximately 1.76

So the 90% Confidence interval estimate of the population mean is (6784 - (1.76345/√15) , 6784 + (1.76345/√15) ) = 6627.22 or 6940.77 .

As, 6940 is not an option given, we consider 6627 as the correct answer.

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a. 48 boys sometimes wear glasses.

b. 103 students wear glasses some of the time.

c. 305 students never wear glasses

d. There are more number of boys in the school.

e. The percentage of girls who never wear glasses is 61.28%.

f.  The percentage of boys is 51.45%.

g. The percentage of students who always wear glasses is 15.7%.

The values above are obtained by observing the frequency table.

The number of times a specific data value occurs is the frequency of that data. We use f to symbolize the frequency of a data value.

A frequency table is a table that lists items and displays how frequently each item happens.

a. The total students are 484.

Out of this, 76 students always wear glasses and 305 students never wear glasses.

Thus, the number of students who sometimes wear glasses are:

484-305-76= 103 students

Out of these 103, 55 are girls, so the number of boys are;

103-55= 48

Thus, 48 boys sometimes wear glasses.

b. The number of students who wear glasses some of the time are:

48+55= 103 students

c. The number of students who never wear glasses are:

161+144= 305 students

d. The total number of boys in the school are:

40+48+161= 249 boys

The total number of girls in the school are:

36+55+144= 235 girls

Thus, there are more number of boys in the school.

e. There are total 235 girls in the school. Out of this, 144 girls never wear glasses.

So, the percentage is 144/235*100 = 61.28%

f. There are total 484 students in the school. Out of this, 249 students are boys.

So, the percentage is 249/484*100= 51.45%

g. There are total 484 students in the school. Out of this, 76 students always wear glasses.

So, the percentage is 76/484*100= 15.7%

Hence, the frequency table is completed and the values are obtained.

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The different ways to arrange the pens for the horses and cows in the barn is,

''They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

The planners of the county fair can arrange the pens for the horses and cows in the same barn in a few different ways. They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.

Hence, The different ways to arrange the pens for the horses and cows in the barn is,

''They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.''

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The rate of commission for the sale is 7.47%.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to determine the percentage of the given number, we divide the number by its whole number and multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given Brittany makes only a commission at her job as a door-to-door salesperson.

total sales = $3,456

total earnings from sale = $258.25

rate of commission = total earnings/total sales

rate of commission = 258.25/3456

rate of commission = 0.0747

percent rate = 0.0747 x 100

rate of commission = 7.47%

Hence the rate of commission is 7.47%.

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The  3 examples of quadratic equations written in standard form is:

(1) a[tex]x^2[/tex] + bx + c = 0

(2) a[tex](x - h)^2[/tex] + k = 0

(3) a (x - p)(x - q) = 0

a[tex]x^2[/tex] + bx + c = 0 is the quadratic equation's standard form, where 'a' is the leading coefficient and a non-zero real number. Due to the word "quad" meaning "square," this equation, whose degree is 2, is referred to as "quadratic." A quadratic equation can be expressed in other ways in addition to the usual form.

Vertex Form: a[tex](x - h)^2[/tex] + k = 0

Intercept Form: a (x - p)(x - q) = 0

[tex]ax^2 + bx + c = 0[/tex], where a 0 and a, b, and c are real numbers, is the conventional form of a quadratic equation with a variable x.

a is the [tex]x^2[/tex] coefficient, b is the x coefficient, c is the constant.

In this case, b and c might either be zeros or non-zero values.

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The best graphical representation of the data is given below.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The attached table named 'x and y values' shows the points scored by a basketball team during the first 13 games of the season.

To determine the best graphical representation of the data:

We have to find the line of the best fit.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit.

And the graph of the equation is given in the attached image named 'regression 2'.

Therefore, the explanation is given above.

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The length of the bottom of the ladder from the bottom of the building is 17.3 feet.

You place a 28 foot ladder against the top of a 22 foot building. The length of the bottom of the ladder from the bottom of the building can be calculated as follows:

The situation forms a right triangle.

The distance can be found using Pythagoras's theorem,

Hence,

c² = a² + b²

where

Therefore,

28² - 22² = b²

784 - 484

b² = 300

square root both sides

b = √300

b = 17.3205080757

Therefore,

b = 17.3 ft

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Answer:

17.3 feet

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

From the proof below, the reason why ΔMKO ≅ ΔMLO is; SAS Congruency Postulate

From the triangle construction, we can see that;

MN bisects ∠KML

Thus;

∠KMO ≅ ∠LMO

Similarly, since KM, ML and KL were drawn with length AB, then it means that; KM ≅ ML ≅ KL

Similarly, MO ≅ MO by reflexive property of congruence

Thus, we conclude that ΔMKO ≅ ΔMLO by SAS Congruency Postulate

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