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lara [203]
2 years ago
13

Michela says that the modes of the two data are the same so the median and mean must also be the same. What is Michela’s error

? The modes are not the same. The means and medians are not the same. Only the modes and the medians are the same. Only the modes and the means are the same.
Mathematics
1 answer:
nikklg [1K]2 years ago
6 0

Answer: B, The means and medians are not the same

Step-by-step explanation: i h8 edguinity

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Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
Simplify (b4)3.<br> O A. 9<br> OB. b?<br> OC. b12<br> OD. b
Sonbull [250]
The answer is b12, so C.
4 0
3 years ago
Graph the line with the equation <br> y = -1/3x + 4.
ehidna [41]

Answer:

Answer in the image

Step-by-step explanation:

3 0
2 years ago
3(a+1.5)= -1.5 what does a equal
emmasim [6.3K]

Answer:

-2

Step-by-step explanation:

3(a+1.5)=-1.5

a+1.5 = - 1.5/3 = - 0.5

a = - 0.5 - 1.5 = - 2

7 0
2 years ago
Read 2 more answers
At the beach cleanup, Maya's group collected 14.8 pounds of trash on Saturday and 12.5 pounds on Sunday. Will's group collected
stellarik [79]
C) 15.5 pounds

Maya's group: 14.8 + 12.5 = 27.3

Will's group: 11.8 + ___ = 27.3
27.3 - 11.8 = 15.5
5 0
2 years ago
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