15. This table shows the average high temperature, in °F, recorded in Savannah, GA and Atlanta, GA, over a seven day period.
Day
1
2
3
4
5
6
7
Temperature in °F, in Savannah, GA
85
87
81
79
80
91
90
Temperature in °F, in Atlanta, GA
76
73
80
78
77
81
79



Which conclusion can be drawn from the data?
A. The lower quartile for the temperatures in Savannah is lower than the lower quartile for the temperatures in Atlanta.
B. The inter-quartile range of the temperatures is the same for both cities.
C. The mean and median temperatures of Savannah were higher than the mean and median temperatures of Atlanta.
D. The upper quartile for the temperatures in Atlanta was higher than the upper quartile for the temperatures in Savannah.
16. This table shows prices for four different rides at the county fair.
Ferris Wheel
TeaCups
Ring of Fire
Bumper Cars
$2. 40
$1. 35
$3. 85
$2. 00



Which is the mean absolute deviation for this set of data?
A. 2.90 B. 0.725 C. 0 D. 1.35
17. Which of the following describes the histogram provided?
A. Symmetric
B. Skewed Left
C. Skewed Right
D. Uniform
18. Which of the following sets of data is represented by the given histogram of the frequency distribution?
Histogram
5
4
y

c
n
e
u
q
e
r
F
A.
3
2
1
0
0 5 10 15 20 25 30 35 40 45 50 Miles Per Gallon


Value
0-5
5-10
10-15
15-20
20-25
25-30
30-35
35-40
40-45
45-50
Frequency
1
2
4
4
2
2
1
1
0
0



B.
Value
0-5
5-10
10-15
15-20
20-25
25-30
30-35
35-40
40-45
45-50
Frequency
0
1
2
4
4
2
2
1
1
0



C.
Value
0-5
5-10
10-15
15-20
20-25
25-30
30-35
35-40
40-45
45-50
Frequency
0
5
10
15
20
25
30
35
40
45



D.
Value
0-5
5-10
10-15
15-20
20-25
25-30
30-35
35-40
40-45
45-50
Frequency
0
1
2
3
4
5
4
3
2
1



19. A linear regression was done to relate the age of a person, x, and the number of optimal hours of sleep, y. The equation was found to be �� = −0.12�� + 11.5 with a correlation coefficient of �� = −0.86.
a) Explain what each of the parameters in the linear model represent, i.e. the -0.12 and the 11.5. b) How do you interpret the fact that the correlation coefficient is negative?

The correct description of the values in both the domain and range of the function are;

Domain is on the interval (0, 100) which are possible values of number of copies of the book produced.

Range is on the interval (700, 1700) which are the possible total cost of publishing the book

The formula for total cost is;

Total cost = fixed cost + variable cost or

We are given the function; C = 10N + 700  

Where;

C is the total cost of publishing the book (in dollars).

N is the number of copies of the book produced.

a) Domain is possible values of N.

For the first printing, the company can produce up to 100 copies of the book.

Thus, the domain is on the interval (0, 100) but only integers.

The range is the possible cost.

Possible cost maximum = 10(100) + 700 = 1700

Thus, the range is on the interval (700, 1700) where any cost in that interval is not continuous, but follows a discrete sequence.

b)  Reasonable values of the domain are [0, max] where the maximum value is the largest book sales ever in the market area,  maybe 50 or 75

Reasonable values for the range are [700, max] where the maximum cost is 700 + 10 *50 or 75,

or 1200 or 1450.  

Read more about Domain and Range at; https://brainly.com/question/2264373

#SPJ1

Answer: -6 i think

Step-by-step explanation:

Answer: -6

Step-by-step explanation: dont forget to mark me as brainlisit

The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.

The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).

When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.

Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).

Read more about SKY Color

brainly.com/question/1154638

#SPJ1

Answer:

From prove

Step-by-step explanation:

from prove

Explanation

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

Answer:

approximately 28.26 square feet

Step-by-step explanation:

The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.

The area is:

28.27 square feet

Work/explanation:

Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).

We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.

Now, here's a diagram for you;

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)

Plug in the data:

\(\sf{A=\pi\times3^2}\)

\(\sf{A=\pi\times9}\)

\(\sf{A=28.27\:ft^2}\)

Answer:

83

Step-by-step explanation:

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

For more questions on fraction

https://brainly.com/question/78672

#SPJ8

Answer:

56.8

Step-by-step explanation:

oihoy8y

"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at

Week 3. 17/51 or 0.33 Option C.

This is further explained below.

Generally,  to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.

In conclusion, The week with the highest percentage of sales is week three as

17/51>>8/25>>32%

Read more about sell

https://brainly.com/question/22521384

#SPJ1

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

For more question Graph

https://brainly.com/question/26858589

#SPJ8

The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

Learn more about quadratic function  at

https://brainly.com/question/1214333

#SPJ1

Answer: -3

Step-by-step explanation: To divide 12 by -4, remember that a

positive divide by a negative is a negative.

So (12) ÷ (-4) is -3.

Answer/Step-by-step explanation:

17. Slope = rise/run

rise = 5

run = 7

Slope = -⁵/7

18. Slope = rise/run

rise = 4

run = 4

Slope = -⁴/4 = -1

19. Slope = rise/run

rise = 3

run = 5

Slope = -⅗

20. Slope = rise/run

rise = 4

run = 1

Slope = -⁴/1 = -4

Answer:

x=3

Step-by-step explanation:

2x+1=7

2x=7-1

2x=6

x=6/2

x=3

Answer:

Solution,

2x + 1=7

or 2x = 7 - 1

or, 2x= 6

or, x = 6

2

or, x = 3

.:. x = 3

Answer

Bison

Step-by-step explanation:

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

  84°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠A = 180° -96°

  ∠A = 84°

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

To know more about speed:

https://brainly.com/question/31756299

#SPJ1

Answer:

It is 12

Step-by-step explanation:

Hope this helped have an amazing day!

Answer: 832

Step-by-step explanation:

Below is how I solved it

You do 2 times 6, then 2 times 10, then 6 times 50, then 50 times 10. Make a table!

2 x 6 = 12

2 x 10 = 20

6 x 50 = 300

50 x 10 = 500

500 + 300 + 20 + 12 = 832

52 x 16 = 832

Answer:

A: numerical

B:catergorical

C:catergorical

Step-by-step explanation:

Answer:

Step-by-step explanation:

Based on the symbols the two triangles there are the equal

Because its two base angles are equal

therefore sum of angle in a triangle is equal to 180°

62°+70°+∠c=180

∴∠c=180-70+62

∠c=180-132

∠c=48

The formula to find time from distance is time = distance/speed

As a general rule, the formula of speed is

Speed = Distance/Time

Multiply both sides by Time

Time * Speed = Distance

Divide both sides by Speed

he formula to find time from distance

Hence, the formula to find time from distance is time = distance/speed

Read more about distance at:

https://brainly.com/question/4931057

#SPJ1

Answer: 12 Chaperones, 80 Students

Step-by-step explanation:

92 total - 12 chaperones = 80 students

3 Chaperones per 20 students, sizing that up by 4 you get 12 and 80.

Answer:

the answer is 1/3

Step-by-step explanation:

.........

\( = \frac{1}{5} + \frac{2}{15} \)

\( = \frac{(1 \times 3)}{15} + \frac{(2 \times 1)}{15} \)

\( = \frac{3}{15} + \frac{2}{15} \)

\(= {\frac{5}{15}}\)

\( = \frac{5 \div 5} {15 \div 5} \)

\(\color{hotpink}= \frac{1}{3} \)

Therefore :-

\(\color{olive}\bold{ \frac{1}{5} + \frac{2}{15} =\color{hotpink} \frac{5}{15} \: \: \texttt{or} \: \: \frac{1}{3} }\)

Answer:

8x - 6 = x + 9 : Given

7x - 6 = 9 :Subtraction property of equality

7x = 15 : Addition property of equality

x = 15/7 : Division property of equality

x = 2.143

Step-by-step explanation:

Match the properties with the steps to solving the following equation.

(8x - 6) = x + 9

8x - 6 = x + 9 : Given

8x - x - 6 = x + 9 - x

7x - 6 = 9 :Subtraction property of equality

7x - 6 + 6 = 9 + 6

7x = 15 : Addition property of equality

7x/ 7 = 15/7

x = 15/7 : Division property of equality

x = 2.143

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

For such more question on interest rate

https://brainly.com/question/29451175

#SPJ8

Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500