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3 years ago

A) complete the table (use 4 decimal places when applicable)

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

(A).

No' of siblings Frequency Rel. frequency Cumm. frequency

0 51 0.2429 51

1 37 0.1762 51 + 37 = 88

2 34 0.1619 122

3 41 $\frac{41}{169}=0.2426$ 163

4 47 0.2238 210

(B).

Percent of people having exactly one sibling = $\frac{\text{Frequency}}{\text{Total frequency}}\times 100$

= $\frac{37}{210}\times 100$

= 17.62%

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I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal

scoundrel [369]

1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. √4 = 2, rational.

√4 + √16 = 2 + 4 = 6. rational
√5 + √36... irrational
√9 + √24... irrational
2 × √4 = 2 × 2 = 4. rational
√49 × √81 = 7 × 9 = 63. rational
3√12... irrational

2. $n^\frac12=\sqrtn$
$9^\frac32=9^3\times\frac12=\sqrt{9^3}=\sqrt{729}=29$

3. $\frac{n^a}{n^b}=n^{a-b}$

$\frac{a^\frac13}{a^\frac14}=a^{\frac13-\frac14}=a^{\frac{1}{12}}$

4. $n^\frac1x=\sqrt[x]n$

$\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}$

5. $\sqrt{a}\times\sqrt{b}=\sqrt{ab}$

$\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6$

A, since neither 3 nor 12 is a square but we end up with 6.

5 0

3 years ago

Point q is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q?

Jet001 [13]

Answer:

(9,-5)

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

(9,-5)

Hope this helps :-)

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2 years ago

What is the absolute value of each number 2 1/3

Arlecino [84]

They are already both positive numbers, so the absolute value of 2 is 2, and the absolute value of 1/3 is 1/3.

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2 years ago

What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line

Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

$y=\frac{1}{6}x+8$

Further explanation:

Given equation of line is:

$6x+y=3\\y= -6x+3$

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

$m_1=-6$

Product of slopes of perpendicular lines is -1

$m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}$

The equation of new line can be written as:

$y=m_2x+b\\$

Putting m2

$y=\frac{1}{6}x+b$

To find the value of b, we will put (-6,7) in equation

$7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8$

Putting the values of b and m in general equation

$y=\frac{1}{6}x+8$

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

#LearnwithBrainly

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2 years ago

The liabilities of Cullumber are $99,000. Owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $

omeli [17]

Answer:

Total assets = $312000

Step-by-step explanation:

Initial capital of the company = $143000

Drawings = $96000

Revenue = $467000

Expenses = $301000

Now to find the current capital or equity of the company :

Equity = initial capital + Revenue - Drawings - Expenses

= 143000 + 467000 - 96000 - 301000

= $213000

Now, liabilities = $99000

And the total assets of the company is given by :

Total Assets = Liabilities + equity of the company

⇒ Total assets = 99000 + 213000

⇒ Total assets = $312000

Hence, Total assets of the Cullumber company = $312000

6 0

2 years ago