1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kodGreya [7K]
3 years ago
15

Is D the right answer for this? Thank you! - Alyssa

Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0
We start by ordering the values.

5, 7, 8, 10, 13, 14, 17, 17, 21

Now we find the median(middle number).

Median(b): 13
(I added (b) for "base" since we need to take more medians)
The median now divides this data into two halves.

Now we take the medians of the two remaining halves.

Median(Half1): 7.5
Median(Half2): 17

Mark off the minimum and maximum.

Min: 5
Max: 21

Now graph!

Your median(Half1) is incorrect, since your median for the first half is 9. Since our median for the first half is 7.5, the answer would be Answer Choice C.
You might be interested in
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
How do you sketch a graph of a function?
Illusion [34]

The graph of a function can be sketched by plotting points.

First and foremost, it is to be determined if the function is odd/even or periodic. Next, we find the x and y intercepts. To sketch a graph of a function, one can start by plotting a few points that lie on the graph using the coordinates given by the function. For example, if the function is y = x², then points (0, 0), (1, 1), and (2, 4) can be plotted by substituting the values of x into the function to find the corresponding values of y.

Subsequent to this, one can connect the points with a smooth curve to form the graph of function. If the function is a straight line, the graph will be a straight line. If the function is quadratic, the graph will be a parabola. The graph may take on a more complicated shape for more complex functions.

Read more about the graph of a function on:

brainly.com/question/26857518

#SPJ4

4 0
1 year ago
The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a
Lubov Fominskaja [6]
Do you need to graph it?

3 0
3 years ago
A cable television compan is laying cable in an area with underground utilities. Two subdivisions are located on opposite sides
Schach [20]

Answer:

Step-by-step explanation:

Given:

Point Q = Q is on the north bank 1200 m east of P $40/m to lay cable underground and $80/m way to lay the cable.

Lets denote T be a point on north bank, therefore, point T is t m east and 100m north of P.

Note that 0 < t < 1200

Distance from P to T using Pythagoras theorem:

PT^2 = PQ^2 + QT^2

PT = √(t²+100²) = √(t²+10,000)

Distance from T to Q:

TQ = 1200 - t

From above, Cable from P to T is underwater, and costs $80/m to lay.

Cable from T to Q is underground, and costs $40/m to lay.

Total cost of the cable:

C(t) = 80√(t²+10,000) + 40(1200 - t)

Cost is at its minimum: when dC/dt = C'(t) = 0 and d^2C/dt^2 = C''(t) > 0

dC/dt = C'(t)

= 80 * 1/2 (t² + 10,000)^(-1/2) × 2t + 40 × (-1)

dC/dt = C'(t)

= 80t/√(t² + 10,000) - 40 = 0

80t/√(t² + 10,000) = 40

80t = 40√(t² + 10,000)

2t = √(t² + 10,000)

square both sides:

4t² = t² + 10,000

3t² = 10,000

t² = 10,000/3

t = 100/√3

≈ 57.735

d^2C/dt^2 =

C''(t) = [80√(t² + 10,000) - 80t × t/√(t²+10,000)] /√(t²+10,000)

C''(t) = [(80(t²+10,000) - 80t²) / √(t²+10,000)] /√(t²+10,000)

C''(t) = 800,000 / (t² + 10,000)^(3/2)

C''(t) > 0 for all t

Therefore C(t) is minimized at t = 100/√3

C(100/√3) = 80√(10,000/3 + 10,000) + 40 × (1200 - 100/√3)

= 80 √(40,000/3) + 48,000 - 4000/√3

= 16000/√3 + 48,000 - 4000/√3

= 48,000 + 12,000/√3

= 48,000 + 4,000√3

= 4000 (12 + √3)

≈ 54,928.20

Minimum cost is $54,928.20

This occurs when cable is laid underwater from point P to point T(57.735 m east and 100m north of P) and then underground from point T to point Q (1200 - 57.735)

= 1142.265 m

5 0
3 years ago
Insect Weights Consider a dataset giving the adult weight of species of insects. Most species of insects weigh less than 5 grams
Ann [662]

Answer:

Step-by-step explanation:

71 grams would definitely be an outlier on the high side, whereas "most" species would weigh much less.  Thus, the graph of this distribution of weights would be skewed towards the lower side, that is, to the left.

8 0
3 years ago
Other questions:
  • Properties to find the answer of 8x51
    9·1 answer
  • Can anyone help me with these: 65mm=?cm, 600cm=?m , 800cm=?m
    8·2 answers
  • Can some please help and explain your steps thanks
    12·1 answer
  • In the diagram shown, the distance between points A and C is the same as the distance between points B and G.
    5·2 answers
  • A rectangular garden 6 meters wide has a diagonal measuring 10 meters. Find the area of the rectangle.
    14·1 answer
  • Find <img src="https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C%200%7D" id="TexFormula1" title="\lim_{h \to \ 0}" alt="\lim_{h
    13·2 answers
  • Find the MODE of the data set: 5, 3, 7, 3, 9, 1, 7, 11
    15·2 answers
  • If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show for there to
    8·2 answers
  • PLS HELP ME THIS IS DUE IN A HOUR <br> How many grapefruits did she harvest?
    10·2 answers
  • Which has more KE ? a 2 g bee flying at 1 m/s OR a 1 g wasp flying at 2 m/s <img src="https://tex.z-dn.net/?f=%20%5C%5C%20" id="
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!