Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)

The value of the $6000 annuity given annual compounding is $124,836.12.

The value of the annuity can be determining using this formula: amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$6000 x [(1.155^10) - 1/0.155] = $124,836.12

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d is the answer

let the number of tickets be x and y

then the prices are multiplied to the number of tickets.

well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]

Answer:

10

Step-by-step explanation:

The least common denominator can be found by finding the LCM of the 2 denominators:

First let's list the multiples of the first denominator :

10,20,30,40,50

Now let's list the multiples of the second denominator :

5,10,15,20,25

As we can see the lowest number that appears in both lists is 10.

Therefore 10 is the least common denominator.

Answer:

7C

Step-by-step explanation:

Answer:

15.8

Step-by-step explanation:

I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.

Jack's problems illustrates algebraic expressions

The given parameter is:

Problems = m

From the complete question, we understand that all questions were solved in 5 days.

So, the number of questions solved per day is:

Daily = m/5

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

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The ratio of the area of the first figure to the area of the second figure is 4:1

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]

[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]

[tex]=\frac{4}{1}[/tex]

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

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Answer:

Step-by-step explanation:

hello :

p(x) = 5(x + 3)2 – 45

the vertex is the point : A(-3 ; -45)

minimum -45

the axis of symmetry  is the line when an equation is : x =  -3

Answer:

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

  17

Step-by-step explanation:

The expression of interest is the difference of the two given expressions.

  (-4x +6y) -(-2x -7y) = (9) -(-8)

  -2x +13y = 17

The value is 17.

_____

Additional comment

You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.

The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.

Answer:

d(sum of twice a no and two)

Step-by-step explanation:

Answer:

correct answer is B

Step-by-step explanation:

two times the sum of a number and 2:

2(x+2), which is not correct

Answer: 49 members

Step-by-step explanation:

     We will take the absolute value (their distance from 0) of both numbers and add them together. This will give us our final answer.

|33| = 33

|-16| = 16

33 + 16 = 49

            49 members voted.

Answer:

Step-by-step explanation:

49

Answer:

x = -2

Step-by-step explanation:

1) Distribute

4(x+5)=6(x+4)

4x+20=6(x+4)

2) Distribute

4x+20=6(x+4)

4x+20=6x+24

3) Subtract 20 from both sides

4x+20=6x+24

4x+20-20=6x+24-20

4) Simplify

- Subtract the numbers

4x+20-20=6x+24-20

4x=6x+24-20

- Subtract the numbers

4x = 6x + 24 - 20

4x = 6x + 4

5) Subtract 6x from both sides

4x = 6x + 4

4x - 6x = 6x + 4 - 6x

6) Simplify

- Combine like terms

4x-6x = 6x + 4 - 6x

-2x = 6x + 4 - 6x

- Combine like terms

-2x = 6x + 4 - 6x

-2x = 4

7) Divide both sides by the same factor

-2x = 4

-2x/-2 = 4/-2

8) Simplify

- Cancel terms that are in both the numerator and denominator

-2x/-2 = 4/-2

x = 4/-2

- Divide the numbers

x = 4/-2

x = -2

Answer:

109/150

Step-by-step explanation:

Answer: 109/150

6% = 6/100

6/100 = 18/300 (Multiply Numerator and Denominator by 3)

2/3 = 200/300 (Multiply Numerator and Denominator by 100)

200/300 + 18/300 = 218/300

218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)

Answer:

4

Step-by-step explanation:

4 sheets of plywood X 9$=36$

60$-36$=24$

24$ is left over to buy boxes of nails at 5$ each

24/5=4.8

Derek can buy 4 boxes of nails.

Answer:

x = 7

Step-by-step explanation:

x - 7 = 0

x = 7

1.

(x+7)²

using (a+b)²=a²+b²+2ab

= x²+7²+ ( 2×x×7 )

= x²+49+14x

THEREFORE, x²+14x+49 is the answer

2.

4x²-1 = 0

= (2x)²-1² = 0

using a²-b² = (a+b) (a-b)

THEREFORE, (2x+1) (2x-1) is the answer

HOPE IT HELPS :)

Answer:

The numbers added up together is 180, and divide 180 by 5 is 36.

1,6,5,4,6=22.

22/5=4.4

Step-by-step explanation:

You can look it online but as quoted,

"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL

Answer:

The perimeter is 68 cm.

Step-by-step explanation:

Two sides of 22cm = 44cm

Two sides of 12 cm = 24 cm

44cm + 24cm = 68cm.

Answer:

Step-by-step explanation:

The given relations can be used to write three equations for the angle values.

  t + y + z = 180 . . . . . sum of all angle measures

  y + z = 5t . . . . . . . . second and third total 5 times the first

  y + 30 = z . . . . . . third angle is 30 more than the second.

__

Using the third equation to substitute for z in the first two equations gives ...

  t + y + (y +30) = 180   ⇒   t +2y +30 = 180

  y + (y +30) = 5t   ⇒   2y +30 = 5t

Using the second of these equations to substitute for (2y+30) in the first, we have ...

  t +5t = 180

  t = 180/6 = 30 . . . . . . divide by the coefficient of t

Using this value in our equation for 5t gives ...

  2y +30 = 5(30)

  2y = 120

  y = 60

Then the value of angle z is ...

  y +30 = z = 60 +30

  z = 90

The first, second, and third angles are 30°, 60°, and 90°, respectively.

Step-by-step explanation:

let b represent the number of books

b×b×b

b3

Answer:

7

Step-by-step explanation:

1) 1 m = 1000 mm, then to calculate the required time in months

2) 1000/12≈83.3 [months];

3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].

Answer:

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

Corect choice is C

Answer:

The distance is the absolute value of the difference.

Step-by-step explanation:

Given table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}[/tex]

The difference is column 4.

The distance is column 5.

The absolute value of a number is its positive numerical value.  It is denoted by a vertical line either side of the real number.

For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.

Taking the absolute values of the differences:

⇒ |-1| = 1

⇒ |5| = 5

⇒ |-3| = 3

Therefore, the distance is the absolute value of the difference.

The more accurate label for the x-axis of the Histogram should be the proportion of babies who love toys.

A chart label is a name given to the factors represented by the axis of a chart.

Typically, a chart has two axes. In some cases, three.

Regardless of the number of axes that a chart has, it is important to properly label them for purposes of comprehension and accurate representation of the data on them.

The referrenced chart is attached.

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Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 + (-40)

= 48 - 40

= 8

OR

8 * (6 - 5)

= 8(6 - 5)

= 8(1)

= 8

OR EVEN

8 * (6 - 5)

= (8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8

Thus, your answer is: (8 * 6) - (8 * 5)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)