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zhuklara [117]
2 years ago
15

Which measure of center best represents the set of data? $6, $12, $15, $12, $12, $20, $12, $13 *

Mathematics
1 answer:
madreJ [45]2 years ago
8 0

Answer:

The median, because the data is skewed

Step-by-step explanation:

Mean = 12.75

Mode = 12

Median = 12

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Solve the absolute value inequality: |x + 12| + 5 < 27 Isolate the absolute value by subtracting 5 from both sides.
Feliz [49]

Answer:

- 34 < x < 10

Step-by-step explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

given | x + 12 | + 5 < 27 ( subtract  5 from both sides )

| x + 12 | < 22, then

- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )

- 34 < x < 10


8 0
3 years ago
Read 2 more answers
Write the equation for the quadratic function in standard form
Ede4ka [16]

Answer:

y=x^2+6x+7

Step-by-step explanation:

To write the quadratic in standard form, begin by writing it in vertex form

y = a(x-h)^2+k

Where (h,k) is the vertex of the parabola.

Here the vertex is (-3,-2). Substitute and write:

y=a(x--3)^2+-2\\y=a(x+3)^2-2

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.

7=a((0)+3)^2-2\\7=a(3)^2-2\\7=9a-2\\9=9a\\1=a

The vertex form of the equation is y=(x+3)^2-2.

To write in standard form, convert vertex form through the distributive property.

y=(x+3)^2-2\\y=(x^2+6x+9)-2\\y=x^2+6x+7

8 0
3 years ago
Raul has 4 identical baseball cards of his favorite player. According to his monthly price guide, the change in value of one of
LuckyWell [14K]
-0.12*4 which is $-0.48
7 0
3 years ago
Read 2 more answers
Sasha hasn’t won any of the 40 games she has played with her four friends so far. She wants to win at least 20%. How many does s
Margaret [11]

Answer:

10

Step-by-step explanation:

Given that Sasha has won 0 games in the 40 games she has played.

Let she needs to win x game in a row, so

Total game she played = 40 + x

The number of the game she won is x, which is 20% of the total game she played, so

x = 20% of (40+x)

\Rightarrow x = 0.2(40+x) \\\\\Rightarrow x = 8+0.2x \\\\\Rightarrow x-0.2x=8 \\\\\Rightarrow 0.8x = 8 \\\\\Rightarrow x = 8/0.8=10.

Hence, she needs to win 10 games in a row.

7 0
3 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the py
Cloud [144]

Answer:

V=6.66\ ft^3

Step-by-step explanation:

The perimeter of the square base of a pyramid = 7.3 ft

The height of the pyramid, h = 6ft

The perimeter of a square is given by :

P = 4s, s is the side of square

7.3 = 4s

s = 1.825 ft

The volume of a pyramid is given by :

V=\dfrac{lbh}{3}

Here, l = b = 1.825 ft

So,

V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3

So, the volume of the pyramid is equal to 6.66\ ft^3.

3 0
2 years ago
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