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MissTica
3 years ago
13

2x-1/3=5 what are the solutions

Mathematics
1 answer:
asambeis [7]3 years ago
6 0
Solution is (2.667,0) but x=2.667

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The time required for a citizen to complete the 2010 U.S. Census "long" form is normally distributed with a mean of 40 minutes a
nordsb [41]

Answer:

Third quartile (Q₃) = 46.75 minutes.

Therefore, Option (c) is the correct answer.

Step-by-step explanation:

Given: Mean  (μ) = 40 minutes and S.D (σ) = 10 minutes

To find : Third quartile (Q₃) = ?

Sol: As the third quartile of normal distribution covers the 75% of the total area of the curve and first quartile covers the 25% of the total area of the curve. Then with the help of z score table, the value represented the third quartile of the normal distribution is:

Q₃ = μ + 0.675 σ

Now by substitution the value of mean and standard deviation,

Q₃ = 40 + 0.675 × (10)

Q₃ = 40 + 6.75

Q₃ = 46.75

Therefore, the third quartile (Q₃) = 46.75. So, option (c) is the correct answer.

4 0
3 years ago
The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the l
nasty-shy [4]

Transformation that changes the size of a shape is referred to as dilation.

  • The scale factor that moves the large triangle to the small one is 1/5
  • The center of dilation is: (-1,1)

<u>The center of dilation</u>

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

<u>The scale factor of dilation</u>

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

\mathbf{Base\ of\ small\ triangle = 1}

\mathbf{Base\ of\ large\ triangle = 5}

So, the scale factor (k) from large to small is:

\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }

\mathbf{k = \frac{1}{5} }

Read more about dilation at:

brainly.com/question/13176891

3 0
3 years ago
If f(x) -V7-3, complete the following statement (round your answer
nikklg [1K]

Answer:

- 1.67

Step-by-step explanation:

f(x) = \frac{3}{7+2} - \sqrt{7-3}

    =  \frac{3}{9} - \sqrt{4}

    = \frac{1}{3} - 2

    = - 1 \frac{2}{3}

    = -1.6666666

    = -1.67

5 0
2 years ago
Does 6n-18=4(n+2) equal 1n?
Mariulka [41]

Answer:

No.

Step-by-step explanation:

If we were to fill in the slots, the equation would be...

6x3-18=4

6 times three is 18, and 18 - 18 equals 0. So the answer would not be 1.

4 0
2 years ago
Eighteen cement squares cover a patio with an area of 40.5m^2. What is the side length of one of the squares
Firlakuza [10]
Idk :)   but the other guy answering might be able to help you. please give me a like!                                
6 0
2 years ago
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