The dot plots below show the ages of students belonging to two groups of painting classes:

Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer. (10 points)

Answer:

e

Step-by-step explanation:

let x be the number of one- bedroom and y the number of two - bedroom apartments , then create 2 equations and solve simultaneously.

x + y = 12 ( subtract y from both sides )

x = 12 - y → (1)

360x + 450y = 4950 → (2)

substitute x = 12 - y into (2)

360(12 - y) + 450y = 4950 ← distribute parenthesis and simplify left side

4320 - 360y + 450y = 4950

4320 + 90y = 4950 ( subtract 4320 from both sides )

90y = 630 ( divide both sides by 90 )

y = 7

there are 7 two- bedroom apartments

Answer:The numbers are 162,164,166,168,

Step-by-step explanation:

The solution is in the attached

Answer: The numbers are 162,164,166,168,

Step-by-step explanation:

The value of x from the given circle is 12

Angle at the vertex of the circle is half the angle at its intercepted arc.

From the given circle;

The measure of <DEF = 80/2 = 4x -8

Equate both angles

4x - 8 = 80/2

Add 8 to both sides

4x - 8 + 8 = 40 + 8

4x = 48

x =12

Hence the value of x from the given circle is 12

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The difference in speed is 41 km /hr.

Average speed is the total distance travelled per time.

Average speed = total distance / total time

The first step is to determine the distance that Mr. Suksod drives.

Distance = average speed x time

82 x (15/60) = 20.50 km

The second step is to determine the average speed of Mr Taylor = 20.50 ÷ (10/60) = 123 km /hr

Difference in speed = 123 - 82 = 41 km /hr

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The formula to find the nth term of the AP is 8 + 3(n - 1).

a = first term = 8

d = common difference = 3

The nth term will be:

= a + (n - 1)d

= 8 + (n - 1)3

= 8 + 3(n - 1)

The age of the 4th student will be:

= a + (n - 1)d

= 8 + (4 - 1)3

= 8 + 9

= 17 years

The sum of total ages if there are 20 students in a row will be:

= n/2[2a + (n - 1)d]

= 20/2 [2×8 + (20 - 1)3]

= 10 [16 + (19 × 3)]

= 10(16 + 57)

= 10(73)

= 730

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Answer:

Hence the expression [tex]$$(q-5)(q+8)=q^2+3q-40$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\frac{\begin{matrix}{} & {} & q & - & 5 \\ \times & {} & q & + & 8 \\ \end{matrix}}[/tex]

_____________

[tex]{\frac{\begin{matrix}{} & {} & 8q & - & 40 \\ {{q}^2} & - & 5q & {} & {} \\ \end{matrix}}{\begin{matrix}{{q}^2} & + & 3q & - & 40 \\ \end{matrix}}}$$[/tex]

6) ∠FOC is vertical to ∠EOD

7) m∠POF is complementary to M∠FOB.

8) m∠AOC = 30°

6) Vertical angles are angles that are opposite of each other when two lines cross. Thus;

∠FOC is vertical to ∠EOD

7) Given that m∠POF + M∠FOB = 90

Two angles are called complementary when their measures add to 90 degrees. Thus;

m∠POF is complementary to M∠FOB.

8)  m∠BOC = 150. Thus;

m∠AOC = 180 - 150

m∠AOC = 30° because they are supplementary angles.

9) m∠EOA = 37. Thus;

m∠FOA = 180 - 37

m∠FOA = 143° because they are supplementary angles.

10) ∠EGH is adjacent to ∠OGH

This is from definition of adjacent angles

11) ∠EGH ≅ ∠DOB

m∠HGO = 128°, m∠DOB = 180° - 128° = 52° because they are supplementary angles.

12) m∠EOA = 67°, m∠DOB = 29°. Thus;

m∠EOD = 180 - (67 + 29)

m∠EOD = 84° because sum of angles on a line is 180°

13) m∠AOD + m∠DOB = 180 means that ∠AOD is supplementary to ∠DOB.

14) ∠COF ≅ ∠DOF and so we can say that;

FO is perpendicular to CD.

15) m∠COP = 72° and m∠POF = 31°. Thus;

m∠EOD = 72 + 31

m∠EOD = 103°

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The pair of lines are parallel.

A line is a one-dimensional figure, which has length but no width.

Given:

lines passes through (-3, -5) and (1, 3)

and, line passes through (0, 1) and (2, 0)

equation of line

y + 5 = -1/2 (x + 3)

-2y - 10 = x + 3

x + 2y + 13 = 0

and, equation of line

y - 1  = -1/2 (x - 0)

-2y + 2 = x

x + 2y -2 = 0

m1= -1/2 and m2 = -1/2

Hence, the lines are parallel.

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Answer:

18484.3

Step-by-step explanation:

[tex]\frac{10^2}{0.00541}[/tex]

[tex]\frac{100}{0.00541}[/tex]

18484.3

The rate of change of the linear function represented by the table is 3

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

From the table, using the point (0, -7) and (2, -1):

m = [-1 - (-7)] / (2 - 0) = 3

The rate of change of the linear function represented by the table is 3

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The other possible names of ∠RPE are ∠P and ∠EPR

The angle is given as:

∠RPE

The angle is named after the middle alphabet.

The middle alphabet in ∠RPE is P

This means that ∠P is a possible name for ∠RPE

Also, the positions of R and P can be interchanged.

So, we have:

∠EPR

Hence, the other possible names of ∠RPE are ∠P and ∠EPR

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The length of the shortest side of the hexagon is; 41.833 inches

Let the length of the shortest side of the hexagon be x. Now, a hexagon has six sides and if the next side is 10 inches longer than the previous side, then the length of the six sides are;

x, x + 10, x + 20, x + 30, x + 40, x + 50

Perimeter is given as 401 inches. Thus;

x + x + 10 + x + 20 + x + 30 + x + 40 + x + 50 = 401

6x + 150 = 401

6x = 401 - 150

6x = 251

x = 251/6

x = 41.833 inches

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The total money Dana spent in all is $24.75

Ratio are written as fractions of two integers. For instance a/b.

Amount spent for grandmother = $13.75

Amount spent on grand father = 4/5 * 13.75

Amount spent on grand father = $11

Take the sum

Total money spent = $13.75 + $11

Total money spent = $24.75

Hence the total money Dana spent in all is $24.75

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The actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.

The Great Pyramid is the largest Egyptian pyramid and also the tomb of rge Fourth dynasty Pharaoh.

It should be noted that the actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.

It is also the oldest of the seven wonders of the world.

A scale scale drawing using an exact proportion between the pyramid will be 147 to 230.

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Answer:

The actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.

How to illustrate the information?

The Great Pyramid is the largest Egyptian pyramid and also the tomb of the Fourth dynasty Pharaoh.

It should be noted that the actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.

It is also the oldest of the seven wonders of the world.

A scale drawing using an exact proportion between the pyramid will be 147 to 230.

Answer:

Im guessing you want it as a equation

80-3.50x+70-3x

x being the ammount of time

Step-by-step explanation:

I'm not sure

this app is the wrst don't trust it

The value of the variable x will be 44 cm.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

Kevin built a wooden flower box for his garden. The area of the base of the box is 264 square centimeters.

If the rectangular base has the dimensions shown below.

Then the value of the variable x will be

A = L × W

264 = 6x

x = 264 / 6

x = 44 cm

The value of the variable x will be 44 cm.

The top view of the wooden flower box is given below.

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Answer:

355.83 yd²

Step-by-step explanation:

A = (B + b)h/2

A = (21.6 yd + 19.3 yd)(17.4 yd)/2

A = 355.83 yd²

Answer:

100π

Step-by-step explanation:

The formula for the surface area of a sphere is SA = 4πr^2, where r is the radius of the sphere and SA stands for surface area. We are given that the radius is 5, so if we plug this into the formula, we get that SA = 4π*(5)^2, or SA = 4 * 25 * π. If we solve it out, we get 100π. If the software wants you to let π be 3.14 and evaluate, you will get approximately 314. I hope this helps

The area of the region defined by the inequality 2|x| + 3|y-1| ≤ 6 is 12 square units

The inequality is given as:

2|x| + 3|y-1| ≤ 6

Next, we plot the inequality

From the graph of the inequality (see attachment), we have the following highlights:

The area of a rhombus is:

A = 0.5 * d1 * d1

This gives

A = 0.5 * 6 * 4

Evaluate

A = 12

Hence, the area of the region is 12 square units

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The equation that represents the total number of apples that Sally has will be the equations x + y = 8 and 8x + 14y = 58

System of equations are equations that consists of two or more equations.

Let the number of small fruits basket be y

Large fruit basket be y

If Sally buys a total of 5 fruit baskets, then;

x + y = 8

If there are 8 apples in a small fruit basket and 14 apples in a large fruit basket with a combined total of 58 apples, then;

8x + 14y = 58

The equation that represents the total number of apples that Sally has will be the equations x + y = 8 and 8x + 14y = 58

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The accuracy in the research done by university is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.

Given sample size of 58205 and proportion of people donated 576. Cutoff is 0.5.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.

TP=total people donated in sample, TN=total number of people,FP=donation,FN=No donation

Accuracy is calculated as under:

=(TP+TN)/(TP+TN+FP+FN)

=(268+23439)/(238+23439+5375+20)

=23707/29102

=0.81

Accuracy=0.81

Sensitivity is calculated as under:

=TP/(TP+FN)

=268/(268+20)

=268/288

=0.93

Precision is calculated as under:

=TP/(TP+FP)

=268/(268+5375)

=268/5643

=0.047

Their values are the probabilities in itself.

Hence accuracy is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.

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x = 4

Step-by-step explanation:

2x² - 1 > 6x

2(4)²-1 > 6(4)

2(16)-1 > 24

32-1 > 24

31 > 24

The points of the graph of function be (0,-8) , (1,-15) ,(2,-24).

Given f(x)=(-x-4)(x+2)

We have to first multiply both the expressions to get f(x)

Expression refers to combination of numbers, symbols, variables, etc. It is usually not in equal to form. It expresses the relationship between variables. To find out the graph we need to first points of function.

f(x)=[tex]-x^{2} -2x-4x-8[/tex]

Now we have to add 2x and 4x

f(x)=[tex]-x^{2} -6x-8[/tex]

Put the value of x=0

f(0)=0-0-8

=-8

Put the value of x=1

f(1)=-1-6-8

=-15

Put the value of x=2

f(2)=-4-12-8

=-24

Now plot these points on the graph to get the graph of function f(x)=(-x-4)(x+2).

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The standard form using integers of the equation is 6y - x = 42

Note that solving in standard form means writing it as a simple equation

Given y = 1/6x + 7

Find the LCM of the right side, we have

y = [tex]\frac{x + 42}{6}[/tex]

Cross multiply

6 × y = x + 42

6y = x + 42

Make the variables move to the left side

6y - x = 42

Thus, the standard form using integers of the equation is 6y - x = 42

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Step-by-step explanation:

look at the attachment above ☝️

An appropriate measure for ∠CDE would be

∠CDE = ∠ADE - ∠ADC

we have the following angles as parallel BC¯, DE¯, and FG¯ also  CD¯, EF¯, and GH¯.

The angles that we have to check in order to measure would be

∠ABC, ∠AEG, ∠ADC, ∠AHG, ∠ADE, ∠AFE, ∠AHG.

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The piecewise functions that are represented by the graph are; g(x) = −2, x < −2; g(x) = −2x + 6, x ≥ 1; g(x) = x/2 + 1, –2 ≤ x < 1

From the attached graph of the piecewise function, we can access each option as follows;

A) g(x) = −2x, −2 < x < 0

This is not represented by the graph because g(x) = −2x has negative slope which means it goes downward. There's also no y-intercept in g(x) = −2x.

B)  g(x) = −2, x < −2;

This is represented by the graph because g(x) = −2 is a horizontal line which is only on the left side of x = -2.

C) g(x) = x − 2, −2 < x < 1;

This is not represented by the graph because g(x) = x − 2 has y-intercept at y = -2 and slope of 1 which means that graph of g(x)= x - 2 must be going upward and crossing at y = -2.

D) g(x) = −2x + 6, x ≥ 1

This is represented by the graph because g(x) = −2x+6 satisfies the graph which is going downward.

E) g(x) = x/2 + 1, –2 ≤ x < 1

This is represented by the graph because g(x) = (x/2) + 1 satisfies the graph which is going downward.

The options are;

g(x) = −2x, −2 < x < 0

g(x) = −2, x < −2

g(x) = x − 2, −2 < x < 1

g(x) = −2x + 6, x ≥ 1

g(x) = x/2+ 1, –2 ≤ x < 1

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Answer:

[tex]x^{16}[/tex]

Step-by-step explanation:

In this situation, you would add the two exponents (the little numbers at the top) together for the answer.

Answer:

x¹⁶

Step-by-step explanation:

x⁷ × x⁹ = x⁷⁺⁹ = x¹⁶

Answer:

you need to save $21