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nignag [31]
3 years ago
8

The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount

plus a penalty for the number of weeks that the video is overdue. The equations that model the cost, y, in dollars for videos that are x weeks overdue are shown in the table.
Mathematics
2 answers:
Sindrei [870]3 years ago
5 0

Answer:

Cumberland and Lincoln


rusak2 [61]3 years ago
3 0

Answer: A. Cumberland and Lincoln

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A theatre has 50 seats on the front row. There are 4 additional seats in each following row.
alexandr402 [8]
\boxed { \boxed { T_n = a_1 + d(n - 1)}}

\text {Given that }a_1 = 50 \text { and } d = 4

T_n = 50 + 4(n - 1)

T_n = 50 + 4n - 4

T_n = 46 + 4n

\boxed { \boxed {T_n = 46 + 4n }}

When n = 20,
T_{20} = 46 + 4(20) = 126

\boxed { \boxed {\text{Answer: The 20th term is 126}}}
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What is the mean for the data set?<br> 8 10 6 4<br> 12 6 8 14
Ipatiy [6.2K]

Answer:

<em>8.5</em>

Step-by-step explanation:

To find mean, we simply take the average of all the numbers in the data set, and divide in by the amount of values!

8+10+6+4+12+6+8+14= 68\\

68 ÷ 8 = 8.5!

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3 years ago
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Find the total area for the regular pyramid.
hram777 [196]

Answer:

  • Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

<u>Find the base area:</u>

  • A = 3√3/2a²
  • A = 3√3/2*6² = 54√3

<u>Given the height and radius, find the side of the lateral triangular faces:</u>

  • \sqrt{8^2+6^2} =\sqrt{100} =10

Each of 6 triangles have sides 10, 10 and 6 units.

<u>Find the area using heron's formula:</u>

  • s = P/2 = (10*2 + 6)/2 = 13
  • s - a = s - b = 13 - 10 = 3
  • s - c = 13 - 6 = 7
  • A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}

<u>Total surface area:</u>

  • S = 6*3\sqrt{91}+54\sqrt{3}  =18\sqrt{91}+54\sqrt{3}

Correct choice is B

3 0
2 years ago
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Mrrafil [7]

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.

4 0
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Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the
Julli [10]

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

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