Drag the tiles to the correct boxes to complete the pairs.
Match each system of linear equations with the correct number of solutions.
One solution
62
地址
3x - y
-
y =
Infinitely many solutions
-
= 4
2y = 8
-4x - 5
-4x + 1
-3x + y
2x
ee
4y
= 7
=
-8
Reset
Next
No solution.

Both distributions of the total cost of attendance are skewed right

The average cost of attendance is higher for private universities.

The costs of more than 75 % of the public institutions were within the costs of the lowest 25% of private institutions.

Both the range and IQR was higher for private universities

Both distributions have outliers.

A boxplot is a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile [Q1], median, third quartile [Q3] and “maximum”).

It can tell you about your outliers and what their values are

Learn more about box plot on

https://brainly.com/question/14277132

#SPJ1

Answer:

skewed right private 75 private do have outliers

Step-by-step explanation:

Answer:

I think its 221

Step-by-step explanation:

The type of relationship that is indicated by the residual plot is given as follows:

Non-linear relationship.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For this problem, we have an alternative pattern, where the function neither multiplied nor added/subtracted by a constant value when the input is increased by one, hence we merely classify the relationship as a non-linear relationship.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

We can see here that the statement means that H is a subgroup of a group, and aЄ H is an element of that subgroup.

We can define a mathematical statement to be a claim that, depending on the circumstances, may be true or false. It frequently incorporates mathematical objects and their relationships or characteristics, such as integers, sets, functions, or geometric shapes.

We can see here that it shows that a is an element of the subgroup of H.

Learn more about mathematical statement on  https://brainly.com/question/30483936

#SPJ1

Answer:

z = 12.52 in.

Step-by-step explanation:

Because this is a right triangle, we can solve for z using on the trigonometric ratios.

If we allow 37° to be our reference angle, the 10 in. side is the adjacent side and z (directly across from the right angle) is the hypotenuse.

Thus, we can use the cosine ratio which is

[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]

Now, we can plug everything into the formula and solve for z, the hypotenuse:

[tex]cos(37)=10/z\\z*cos(37)=10\\z=10/cos(37)\\z=12.52135658\\z=12.52[/tex]

Answer:

DF = 15 cm

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )

[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )

15 DF = 9 × 25 = 225 ( divide both sides by 15 )

DF = 15

Answer:

12

Step-by-step explanation:

1. Use the Pythagorean theorem for triangle ABC

a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)

so

c squared - b squared = a squared

225 - 81 = 144 ( Find the square root )

which is 12

since Triangle ABC is the same with Triangle DEF then

DF = 12

Answer: All of them

Step-by-step explanation:

All of them can be divided into two equal halves.

The figures that show axis symmetry are 1, 2, and 3.

The axis of symmetry is a line, plane, or other axis that divides a geometric figure into two mirror-image halves that are congruent to each other.

A figure has axis symmetry if it looks the same after being rotated around an axis.

Out of the given figures, the ones that have axis symmetry are:

The figures that do not have axis symmetry are:

So, the figures that show axis symmetry are 1, 2, and 3.

Learn more about the axis of symmetry here:

https://brainly.com/question/22495480

#SPJ2

Answer:

2 boxes

Step-by-step explanation:

8 cupcakes in 1 box = 16 cupcake in x box

We Take

16 ÷ 8 = 2 boxes

So, the answer is 2 boxes.

The number of days it would take for the investment to be valued at £3,800 is 4.4 days

From the question, we have the following parameters that can be used in our computation:

A = 1200 × 1.3^n

For the investment to be valued at £3,800, the value of A would be

A = 3800

Substitute the known values in the above equation, so, we have the following representation

1200 × 1.3^n = 3800

Divide both sides by 1200

1.3^n = 3800/1200

So, we have

n = ln(3800/1200)/ln(1.3)

Evaluate the quotient

n = 4.4

Hence, it would take 4.4 days

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

Answer:

The height of the window ledge is the height of the box when t = 0. So, we need to find h(0).

```

h(0) = -16(0)^2 + 150

h(0) = 150

```

Therefore, the height of the window ledge is 150 feet.

Step-by-step explanation:

a) Latonya is correct, as the scale factor of the dilation is of 12.8/4.8.

b) The scale factor was obtained dividing the side length on the dilated figure by the equivalent side length of the original figure.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratios for the scale factor are given as follows:

12.8/4.8 = 7.2/2.7 = 4.8/1.8 = 4/1.5 = 8/3.

8/3 as 4 x 2 = 8 and 1.5 x 2 = 3.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

Answer:

[tex] \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} [/tex]

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Answer:

Mean-27

Step-by-step explanation:

Add all of the numbers and it equals 162

Then divide 162 by the amount of numbers presented.

Since there are 6 numbers listed we divide by 6

162/6=27

To find the percentage invested in bonds, we need to add the amounts invested in U.S. Treasuries and high-grade corporate bonds, and then divide by the total value of the portfolio:

Total amount invested in bonds = $45,000 + $32,000 = $77,000

Total portfolio value = $45,000 + $32,000 + $74,000 = $151,000

Percentage invested in bonds = (Total amount invested in bonds / Total portfolio value) x 100%

= ($77,000 / $151,000) x 100%

= 51.0%

Therefore, the answer is 51%.

I hope this helps you!

The missing parts of the triangle are

BD = 8

AD = 8 sqrt(2)

The missing part BD of the figure is solved using similar triangles

The expression is as follows

h / 8 = 8 / h

h^2 = 8 x 8

h^2 = 64

h sqrt = (64)

h = 8

Solving for AB we use Pythagoras theorem

AB^2 = h^2 + 8^2

AB^2 = 8^2 + 8^2

AB = sqrt(64 + 64)

AB = sqrt (128)

AB = 8 sqrt (2)

Learn more about Pythagoras theorem at

https://brainly.com/question/231802

#SPJ1

The rate of change for the interval between 0 and 2 for the quadratic equation is 10.

A quadratic equation is a type of polynomial equation of the second degree, which means it has one or more terms that are raised to the power of two.

The general form is;

ax² + bx + c = 0

Where;

The rate of change for the interval between 0 and 2 for the quadratic equation is calculated as;

f(2) - f(0) = 7 - (-3)

             = 7 + 3

             = 10

Learn more about quadratic equation here: https://brainly.com/question/1214333

#SPJ1

A graph of f(x) is shown in the image below.

A graph of f(x) is shown in the image below.

The vertex form equation for g(x) is g(x) = -x²

In Mathematics and Geometry, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x)= (x + 3)² - 2, g(x) would be created by translating f(x) three units to the right, two units up, and reflected vertically over the x-axis as follows;

f(x) = (x + 3)² - 2

g(x) = -[(x + 3 - 3)² - 2 + 2]

g(x) = -x²

Read more on function and translation here: https://brainly.com/question/31559256

#SPJ1

32% of the students surveyed preferred grilled cheese, so in a group of 3500 students, about 1120 students will prefer grilled cheese.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of people surveyed is given as follows:

80 + 40 + 50 + 20 + 60 = 250.

80 students preferred grilled cheese sandwich, hence the percentage is obtained as follows:

p = 80/250 x 100%

p = 32%.

Hence the expected amount of 3500 students is given as follows:

0.32 x 3500 = 1120 students.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

a) The proportion of the investments had a return of between 10% and 30% is given as follows: 0.68 = 68%.

b) The proportion of the investments had a return of between -10% and 50% is given as follows: 0.997 = 99.7%.

c) The proportion of the investments had a return either less than 10% or more than 30% is given as follows: 0.32 = 32%.

d) The proportion of the investments had a positive return is given as follows: 0.9985 = 99.85%.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

Hence the percentages for this problem are given as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

The degree of the polynomial 11x⁴ + 8x² + x is 4, which is the highest degree among its terms. The degrees of the terms are 4, 2, and 1 for the first, second, and third terms, respectively.

The degree of a term in a polynomial is the exponent of its variable.

In the polynomial 11x⁴ + 8x² + x, the degree of the first term 11x⁴ is 4, the degree of the second term 8x² is 2, and the degree of the third term x is 1.

The degree of the polynomial is the highest degree among its terms. In this case, the highest degree is 4, which is the degree of the first term. Therefore, the degree of the polynomial is 4.

To know more about degree of polynomial:

https://brainly.com/question/29182596

#SPJ1

The table is attached.

A journal entry is used to record financial transactions of the business operations in a company's accounting records.

The journal entries of Piper Co. is recorded below:

The table for the journal entries is attached below for a clear understanding of the narration.

Learn more about journal entries, click;

https://brainly.com/question/20421012

#SPJ1

The slope of the line and its meaning in terms of the real-world scenario is; C. The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.

In Mathematics and Geometry, the gradient, rate of change, or slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 - 24)/(6 - 0)

Slope (m) = -24/6

Slope (m) = -4.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The student's argument that y=x/9 does not represent a proportional relationship between x and y is false because there is constant factor which shows the proportional relationship.

A proportional relationship exists between two variables if they are related by a constant factor, meaning that multiplying one variable by a constant results in the other variable. However, this constant can also be obtained by dividing one variable by the other, as in the case of y=x/9.

To see why, we can rearrange the equation to x=9y, which shows that x is proportional to y with a constant factor of 9. Multiplying y by 9 results in x, just as dividing x by 9 results in y. Therefore, the relationship between x and y is still proportional, regardless of whether we multiply or divide to obtain the constant factor.

In general, we can say that a relationship between two variables is proportional if it can be written in the form y=kx, where k is a constant. It does not matter whether we use multiplication or division to express this constant, as long as it is the same for all values of x and y.

To learn more about proportional click on,

https://brainly.com/question/29731241

#SPJ1

Answer:

Step-by-step explanation:

4*2*6=48a

Answer:

5/36

Step-by-step explanation:

hope this helps

The class that contains the 80 th percentile is d) 32-34.

First, find the total frequency of the income :

Total frequency = 2 + 11 + 8 + 5 + 4 = 30

The position of the number at the 80 th percentile would then be :

= 30 x 80 %

= 24 th position

The cumulative frequency of :

26 - 28 =  2

28  - 30 : 2 + 11 = 13

30 - 32 : 13 + 8 = 21

This then means that the 24 th position is in the next interval of 32 - 34.

Find out more on percentiles at https://brainly.com/question/31484334

#SPJ1

The two octagonal prisms are similar because their corresponding sides are proportional.

We can find out if two octagonal prisms are similar by checking if they have the same shape but may be different sizes. Two shapes are similar if their corresponding sides are proportional, and their corresponding angles are congruent.

Let's represent the dimensions of octagonal prism1:

Base edge length = a

Height = h

The octagonal prism2 dimensions:

Base edge length = b

Height = k

From the surface area and volume equations of an octagonal prism, we have the following system of equations:

50 = 2a² + 8ah

88 = 2a²h

450 = 2b² + 8bk

792 = 2b²k

We can simplify these equations by dividing the second equation by the first, and the fourth equation by the third, to eliminate h and k:

88/50 = 2a²h / (2a² + 8ah) => 44/25 = h / (a + 2h)

792/450 = 2b²k / (2b² + 8bk) => 44/25 = k / (b + 2k)

Then, we rearrange the equations to obtain expressions for h and k in terms of a and b, respectively:

h = (44/25) * (a + 2h)

k = (44/25) * (b + 2k)

Multiplying both sides of each equation by 25/19, we obtain:

h = (44/19) * a

k = (44/19) * b

We can now check if the corresponding sides are proportional:

Base edge length = a:b = 1:3

Height = h:k = 1:3

Since the corresponding sides are proportional, the two octagonal prisms are similar.

Learn more about octagonal prisms at brainly.com/question/30208150

#SPJ1

a) The slope shows that the appropriate dose c for an older child increase by 6.225 mg if the child is one year older.

b) The dose for newborn baby is: 6.225 mg

The equation of a line in slope intercept form is:

y = mx + c

where: m is slope and c is y-intercept

(a) Let a be an age of an child in years. Then:

c = 0.0417Da + 0.0417D

Where D is a constant

Since D = 150 mg, then we have:

The slope of the graph = 0.0417(150)

= 6.225 mg/year

The slope shows that the appropriate dose c for an older child increase by 6.225 mg if the child is one year older.

(b) Newborn baby:  a=0

Thus:

c(0) = 0 + 6.225

= 6.225 mg

Read more about Slope at: brainly.com/question/3493733

#SPJ1