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amid [387]
3 years ago
13

You record the type of clothing worn by people you see at a store. Identify the data set as numerical or categorical​

Mathematics
2 answers:
mixas84 [53]3 years ago
5 0

Answer:

categorical data

Alchen [17]3 years ago
3 0

Answer:

Categorical Data

: )

Step-by-step explanation:

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In the diagram to the​ right, GKNMVRPT. Find the value of x. Give the scale factor of the left polygon to the right polygon
emmainna [20.7K]

Answer:

Step-by-step explanation:

X+2

7 0
3 years ago
What is the following quotient?
seropon [69]

Answer:  Choice B) \frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\

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

Work Shown:

\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\

This shows why choice B is the answer.

---------------

Explanation:

  • In the second step, I multiplied top and bottom by (\sqrt{11}+\sqrt{3})
  • This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
  • In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is \sqrt{a}-\sqrt{b} and you want to rationalize the denominator, then you should multiply top and bottom by \sqrt{a}+\sqrt{b}. The same applies in reverse as well.

This leads to the denominator becoming (\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b

Keep in mind that a \ge 0 and b \ge 0

4 0
2 years ago
Two equations are given below:
Ostrovityanka [42]
A - 3b = 4 . . . . (1)
a = b - 2 . . . . . (2)
Putting (2) into (1), we have
b - 2 - 3b = 4
-2b = 4 + 2 = 6
b = 6/-2 = -3
From (1), a = b - 2 = -3 - 2 = -5
Hence, solution = (-5, -3)

3 0
3 years ago
the GCD of three numbers is 30 and there LCM is 900 Two of the numbers are 60 abd 150 .what is the least possible value of the t
Artemon [7]

Answer:

180

Step-by-step explanation:

8 0
3 years ago
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
sweet-ann [11.9K]

Answer:

B

Step-by-step explanation:

Interior angles of a triangle = 180°

3x°+3x+10°+4x-30°=180°

10x°-20°=180°

10x°=180°+20°

10x°= 200°

10x°/10=200°/10

x°=20°

6 0
3 years ago
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