Cw 10.5 10.5 V. W
A great

Answer:

c

Step-by-step explanation:

The solution is

13

12

π. To calculate the arc length use the following formula:

Arc Length=

m(ARC)

360

· 2πr

1.MAD Calculation: A possible set of data values that yield a mean of 20 and a MAD of 10 is: 10, 20, 20, 20, 30, 40.

2. Five Students' Test Scores: Mean = 85, Median = 85, Range = 10, MAD ≈ 3.33.

3. Survey Data: Students' mean sleep = 7.7 hours; Teachers' mean sleep = 6.7 hours.

let's go through each question step by step:

1. MAD Calculation:

The Mean Absolute Deviation (MAD) is the average of the absolute deviations from the mean of a dataset. Given that the MAD of the set of six data values is 10 and the mean is 20, we need to find the data values that satisfy these conditions.

Let's denote the data values as (x_1, x_2, x_3, x_4, x_5, x_6).

The mean is given as:

[tex]\[ \text{Mean} = \frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6}{6} = 20 \][/tex]

Multiplying both sides by 6 gives us:

[tex]\[ x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 120 \][/tex]

Now, we need to find a set of values that satisfy this equation and also have a Mean Absolute Deviation of 10.

The Mean Absolute Deviation (MAD) formula is:

[tex]\[ \text{MAD} = \frac{|x_1 - \text{Mean}| + |x_2 - \text{Mean}| + |x_3 - \text{Mean}| + |x_4 - \text{Mean}| + |x_5 - \text{Mean}| + |x_6 - \text{Mean}|}{6} \][/tex]

Given MAD = 10, and Mean = 20, we have:

[tex]\[ 10 = \frac{|x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20|}{6} \][/tex]

Multiplying both sides by 6, we get:

[tex]\[ 60 = |x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20| \][/tex]

Now, we need to find a set of six values that satisfy both equations.

There are multiple possible sets of values that satisfy these equations. One such set could be:

[tex]\[ x_1 = 10, \ x_2 = 20, \ x_3 = 20, \ x_4 = 20, \ x_5 = 30, \ x_6 = 40 \][/tex]

You can verify that these values satisfy both the mean and the MAD conditions.

2. Five Students' Test Scores:

Given:

- Five students scored 80 on a test,

- Five students scored 85, and

- Five students scored 90.

A. The mean:

[tex]\[ \text{Mean} = \frac{(5 \times 80) + (5 \times 85) + (5 \times 90)}{15} = \frac{400 + 425 + 450}{15} = \frac{1275}{15} = 85 \][/tex]

B. The Median:

Since there are an odd number of data points (15), the median will be the 8th value when the data is arranged in ascending order. Since each score (80, 85, 90) appears 5 times, the median is 85.

C. The Range:

The range is the difference between the highest and lowest values:

[tex]\[ \text{Range} = 90 - 80 = 10 \][/tex]

D. The MAD:

To find the MAD, we first calculate the deviations from the mean for each data point, take their absolute values, and then find their mean.

[tex]\[ \text{MAD} = \frac{|80 - 85| + |80 - 85| + \ldots + |90 - 85|}{15} \][/tex]

[tex]\[ = \frac{5|80 - 85| + 5|85 - 85| + 5|90 - 85|}{15} \][/tex]

[tex]\[ = \frac{5(5) + 5(0) + 5(5)}{15} = \frac{50}{15} \approx 3.33 \][/tex]

3. Survey Data:

Given:

Students: 7, 6, 8, 9, 8, 9, 10, 10, 10

Teachers: 6, 6, 4, 5, 7, 8, 7, 8, 8, 8

A. Mean of students' data set:

[tex]\[ \text{Mean} = \frac{7 + 6 + 8 + 9 + 8 + 9 + 10 + 10 + 10}{10} = \frac{77}{10} = 7.7 \][/tex]

B. Mean of teachers' data set:

[tex]\[ \text{Mean} = \frac{6 + 6 + 4 + 5 + 7 + 8 + 7 + 8 + 8 + 8}{10} = \frac{67}{10} = 6.7 \][/tex]

The means tell us that, on average, students get slightly more sleep per night compared to teachers.

Answer:

2,5 appeared LESS

Step-by-step explanation:

the theoretical probability in this case would be 5 because Micah rolled the number cube 30 times and there is 6 total outcomes of the number cube.

To figure out the theoretical probability:

30 divided by 6

= 5

So every number that appeared less than 5 is your answer    

I believe the answer is 2,5

Answer:

C= 2π*4

C= 4*2= 8*3.14

C= 25.12

Step-by-step explanation:

3 is not a perfect / 100 percent square.

If we simplify we get 1.73205081. That is in its simplest form.  

Intersection of the first two lines:

[tex]\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}[/tex]

Multiply the first equation by 4 and the second by 5:

[tex]\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}[/tex]

Subtract the two equations:

[tex](20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1[/tex]

Plug this value for y in one of the equation, for example the first:

[tex]5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1[/tex]

So, the first point of intersection is [tex](-1,-1)[/tex]

We can find the intersection of the other two lines in the same way: we start with

[tex]\begin{cases}x=y\\x=3y+4\end{cases}[/tex]

Use the fact that x and y are the same to rewrite the second equation as

[tex]x=3x+4 \iff 2x=-4 \iff x=-2[/tex]

And since x and y are the same, the second point is [tex](-2, -2)[/tex]

So, we're looking for a line passing through [tex](-1,-1)[/tex] and [tex](-2, -2)[/tex]. We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be [tex]y=x[/tex]

In the attached figure, line [tex]5x - 2y + 3 = 0[/tex] is light green, line [tex]4x - 3y + 1 = 0[/tex] is dark green, and their intersection is point A.

Simiarly, line [tex]x=y[/tex] is red, line [tex]x = 3y + 4[/tex] is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

To answer the student’s question, solve for points of intersection of given pairs of equations, use these points to calculate the slope, and then apply the point-slope or two-point form to determine the equation of the line.

To find the equation of a line that passes through the points of intersection of two sets of equations, we first need to determine the coordinates of these intersection points. We have two given sets of equations: 5x - 2y + 3 = 0 and 4x - 3y + 1 = 0, as well as x = y and x = 3y + 4. To solve for the intersection points, we can use substitution or elimination method for the pairs of equations separately.

Once we have found the two points of intersection, we use these points to determine the slope of the line (using the slope formula ∆y /∆x). After that, we apply the point-slope form or the two-point form of the equation of a line to find the equation that contains both points. The final step would be to simplify the equation to its standard form.

However, the question seems to include extraneous information, as the equation provided for a specific line, y = 9 + 3x, does not directly pertain to the given task of determining the equation of the line through the points of intersection. It does illustrate that a line's equation can be represented in the form y = mx + b, where m represents the slope, and b represents the y-intercept.

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Answer:

[tex]4q^2 + 12q + 9[/tex]

Step-by-step explanation:

To simplify the expression, use the distributive property to write the expanded form of the quadratic.

[tex](2q+3)^2\\(2q+3)(2q+3)\\4q^2 + 6q + 6q + 9\\4q^2 + 12q +9[/tex]

The correct choice is A(-1,3)

See the attached figure

Answer:

Last option

y ≤ 1/2 x - 1

Step-by-step explanation:

The graph is linear inequality. Since the graph is a solid line so the inequality symbol is either ≥ or ≤.

The colored grey is shaded below the line, so the symbol is ≤.

So either  y≤1/2x-1 or  y≤2x-1

Now we have to find the slope to see which equation is the right one.

(2,0) and (0,-1)

Slope = (0 + 1) /(2-0) = 1/2 and b = y intercept = -1

So equation:

y ≤ 1/2 x - 1

The correct inequality that represents the graph is y≤2x-1.

In this question, we are asked to determine which inequality best represents the graph. From the given options, the correct choice is b. y≤2x-1. This choice represents a graph where y is less than or equal to 2x minus 1. To verify this, we can examine some points on the graph.

For example, let's test the point (0,0). Substituting these values into the inequality, we get 0 ≤ 2(0) - 1, which simplifies to 0 ≤ -1. Since this statement is true, the point (0,0) lies on the graph. Similarly, we can test other points to confirm that the inequality correctly represents the graph.

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Answer:

the answer is x=3

Step-by-step explanation:

divide by 9 on each side of = sign

9/9 and 27/9=3

Answer: 3/2

Step-by-step explanation:

I just did it on oddyseyware. Trust me and believe me its 3/2.

Step-by-step explanation:

Complementary means the total is 90 degrees.

So 90=x+3x+10

90=4x+10

80=4x

x=20 degrees

Answer:

x=20 degrees

hope this helped! :)

The correct equation is . n + 45.60 - 15.75. Option C is correct.

Let n represent William's balance before writing the check (unknown).

He wrote a check for $45.60, so this amount needs to be subtracted from his original balance.

After writing the check, his balance became -$15.75. Since a negative balance indicates he owes money, we can represent this with -15.75.

To find his original balance (n), we need to add the amount he subtracted (check amount) and then consider the ending balance.

Therefore, the equation that accurately represents the situation is:

n (original balance) + $45.60 (check amount) - $15.75 (ending balance) = n + 45.60 - 15.75

complete question:

On Wednesday, William wrote a check in the amount of $45.60. This brought his balance down to -$15.75. Suppose n represents William's balance before he wrote the check.

Which equation can be used to represent this situation?

A. n-15.75-45.60

B. п-15.7545.60

C. n+45.60 -15.75

D. n-45.60-15.75

Answer:

Answer: part a is 4.8 and part b is 3.125

Step-by-step explanation:

PART A.  60/25 = 2.4 (inches)

PART B.  25/4 = 6.26 (miles)

Hope this helps! Please mark me as brainliest if it did.

795

first u multiple the 15 with 8 & 45 then u add

Answer:

1,2,3,4,6,12

Step-by-step explanation:

all the number which can divide 12 is factor of 12. so 1,2,3,4,6,12

Answer:

200 miles

Step-by-step explanation:

8x25=200

The actual distance will be 200 miles

The question states that

The distance between two cities is 8 inches

Actual distance would be

8 * 25 = 200

So the actual distance would be 200 miles

Answer:

{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}

Step-by-step explanation:

The sample space is all the possible results that can be obtained from a randomized experiment.

In this case, the experiment is to select two chocolates out of 4.

If we have 4 chocolates of different types {C, M, D, W}

and we select 2, then (taking into account the order in which she eats the chocolates} the possible results are:

{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}

There are 12 possible results for this experiment.

Answer:

The answer is the first graph in the second raw

Step-by-step explanation:

* Lets study the dilation:

- A vertical stretching is the stretching of the graph away

 from the x-axis

- A vertical compression is the squeezing of the graph

 toward the x-axis.

- if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each y-coordinates by k.

- if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each y-coordinates by k.

* Notice that the "roots" on the graph stay in their same

 positions on the x-axis.

* Lets check our question:

∵ f(x) = 3g(x)

∵ f(x) = k.g(x)

∴ It is a vertical stretching or vertical compression

∵ k = 3 > 1

∴ It is vertical stretching with scale factor = 3

* That means we will multiply each y-coordinates in g(x) by 3

∴ The graph of f(x) will be away from x- axis and narrow to y- axis

∴ The answer is the first graph the second raw

Example: If g(x) = x²

                ∴ f(x) = 3x²

* Look to the graph:

- The red is the graph of g(x)

- The blue is the graph of f(x)

- f(x) = 3g(x)

Answer: the answer is b

Step-by-step explanation:i did the test yourself on algebra nation

Answer:

15. 31.42 cm^2

16. 25.73 m^2

17. Fly A

Step-by-step explanation:

15.

The blue shaded region is a sector of a circle. The formula for area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where  [tex]\theta[/tex] is the central angle and r is the radius

For the diagram, we have 80° arc and 180° arc as the "white" area. Since the whole circle is 360°, the shaded region arc is 360 - (80+180) = 100°. this is  [tex]\theta[/tex] and the radius is 6.

Plugging in it in the formula we get:

Area of shaded region = [tex]\frac{\theta}{360}*\pi r^2\\=\frac{100}{360}*\pi(6)^2\\=31.42[/tex] cm^2

16.

We can say that area of shaded region = area of parallelogram - area of circle

Now,

Area of Parallelogram = b * h

where

b is the base (it is 6+3=9) and h is the height (diameter of the circle is the height = 6)

Area of Parallelogram = 9 * 6 = 54

Area of Circle = πr^2   where r is the radius, which is 6/2=3

Area of Circle = π(3)^2 = 9π

Now,

Area of Shaded Region = 54 - 9π = 25.73 m^2

17.

For the first figure (rectangle) we could let the height be h (since not given). So area of yellow region would be 4h (area of rectangle is base * height)

And area of whole ruler would be 8*h = 8h

So probability of landing in yellow region would be  [tex]\frac{4h}{8h}=\frac{1}{2}=0.5[/tex]

For 2nd figure, the yellow region has area of π(2)^2 = 4π ( radius of yellow circle is 2 and area of circle is πr^2)

Area of whole circle is  π(4)^2 = 16π

So probability of landing in yellow region would be  [tex]\frac{4\pi}{16\pi}=\frac{1}{4}=0.25[/tex]

Hence, Fly A is more likely to land in a yellow region.

Answer:

first we must times 7.5 into 8 to find out what the answer is,

the answer is 60

Answer:$271

Step-by-step explanation:

$125x12= 1500+250=1750

1750-1479=271

Center (0,0)

radius - 5

Hope this help

I believe that the answer is $175

Answer:

$112

Step-by-step explanation:

140 divided by 5 is 28, which means 1/5 of 140 is 28. You take that 28 times 4 to get 4/5 of 140 which comes out to be 112. Brainliest please!

Answer:

x = 11

Step-by-step explanation:

Since they are vertical angles, the angles are equal. Set them equal and solve for x.

5x + 10 = 7x - 12               Subtract 5x from both sides

10 = 2x - 12                       Add 12 to both sides

22 = 2x                             Divide by 2

11 = x

Answer:

Step-by-step explanation:

sistemul digestiv

Answer x^-5

Step-by-step explanation: since (- 5/6)*6=-5

The answer is x^-5

I believe the estimate should be higher

Answer:

A. No, the estimate should be higher.

Step-by-step explanation:

Answer:

[tex]\large\boxed{0.000008=8\cdot10^{-6}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot10^k[/tex]

where 1 ≤ a < 10 and k ∈ Z.

0.000008

You must move the comma 6 places to the right.

[tex]0\underbrace{.000008}_{6\rightarrow}=8\cdot10^{-6}[/tex]

[tex]0.000008=\dfrac{8}{1,000,000}=8\cdot10^{-6}[/tex]

To express the diameter of a human red blood cell in scientific notation, we can write it as 8.0 × 10^-6 meters.

The diameter of a human red blood cell is approximately 0.000008 meters. To express this number in scientific notation, we can use the concept of significant figures. In this case, the leading zeros are not significant, so we can write the number as 8.0 × 10-6 meters. This scientific notation represents the size of a human red blood cell.

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Answer:

x = 15 or x = -17

Step-by-step explanation:

It is given that,

(x + 1)² = 16

To solve the quadratic equation

The give equation is

(x + 1)² = 16    ----(1)

From equation (1) we can see that it is a quadratic equation

So we can take square root fro both sides we get

√[(x + 1)²] =√16

x + 1 = ±16

x + 1 = 16   or x + 1 = -16

x = 16 - 1 = 15   or x = -16 - 1 = -17

Therefore x = 15 or x = -17

To solve the equation 3/8c -2 = 3/2c -12 for c, first clear the fractions by multiplying the entire equation by 8. Then, use algebraic operations to isolate and solve for c, yielding the solution c = 80/9 or about 8.89.

The given algebraic equation is 3/8 c−2= 3/2 c−12. Our goal is to solve for c. Here's how:

So, the solution to the equation 3/8c - 2 = 3/2c -12 is c = 80/9 or about 8.89.

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To solve the equation:3/8 c−2= 3/2 c−1. We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.

After simplifying,80/9.

Let's solve the equation:3/8 c−2= 3/2 c−1.

We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.

Steps to solve:

1. Combine multiplied terms into a single fraction:

3/8 c−2= 3/2 c−12

2. Find common denominator:

3/8 c + (8/8) −2= 3/2 c−12

3. Combine multiplied terms into a single fraction:

3/8 c + (8 *(−2) /8) −2= 3/2 c−12

4. Combine fractions with common denominator:

(3c + 8 *(−2) /8) = 3/2 c−12

5. Multiply the numbers:

(3c -16) /8) = 3/2 c−12

6.Combine multiplied terms into a single fraction:

(3c -16) /8) = 3/2 c−12

7. Find common denominator:

(3c -16) /8) = 3/2 c +(2/2) (-12)

8.Combine multiplied terms into a single fraction:

(3c -16) /8) = 3/2 c +(2*-12)/2

9.Multiply the numbers:

(3c -16) /8) =(3c -24) /2)

10. Eliminate fraction denominators:

8*(3c -16) /8) = 8*(3c -24) /2)

11. Cancel multiplied terms that are in the denominator:

3c−16=4(3c−24)

12. Distribute:

3c−16=12c−96

13. Add/subtract to both sides:

3c−16+16=12c−96+16

14. Simplify:

3c=12c−80

15. Add/subtract to both sides:

3c−12c=12c−80−12c

16. Simplify:

−9c=−80

17.Divide both sides of the equation by the same factor:

−9c/-9=−80/-9

18.Simplify:

c=80/9.