what is the average of all positive integers that have four digits when written in base $3$, but two digits when written in base $6$? write your answer in base $10$.

Answers

Answer 1

Average of all positive Integers , when written in base 10 is 58.

given,4 digits base 3

smallest 1000 = 3^3 = 27

biggest  2222 = 2*27+2*9+2*3+2 = 802 digits base 6smallest 10 = 36biggest  1000-1 = 6^3-1 = 4095.

So the intersection of these is 36 to 80 ,  80-36+1 = 45

sum of numbers from 36 to 80 = (45/2)(72+44) = 45/2*116= 45*58 = 2610                       average = 2610/45 =58A more straight forward approach would be to say that of there are 45 numbers the median on is in the 46/2 = 23rd position.

 In this case the median and the mean will be the same.                          36+23-1 = 58.

The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average. It is the point above and below which half (50%) the observed data falls, and so represents the midpoint of the data.

Median is not dependent on all the data values in a data set. The median value is fixed by its position and is not reflected by the individual value. The distance between the median and the rest of the values is less than the distance from any other point.

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Related Questions

Question is in the picture

Answers

Answer:

10

Step-by-step explanation:

70 / 70 = 1

700 / 70 = 10

The rate is 70.

Answer: 10 weeks

Step-by-step explanation:

3  weeks ould be 70 *3

so for 700  books it would be 700/70 and you would get 10

solve for n. n/-5= 7​

Answers

Answer:

n = -35

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

n/-5 = 7

Step 2: Solve for n

Multiply both sides by -5:                    n = -35

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                    -35/-5 = 7Divide:                                  7 = 7

Here we see that 7 does indeed equal 7.

∴ n = -35 is a solution to the equation.

A computer salesman makes $10 per hour and 0.5% commission on what he sales. If he works for 40 hours this week, and he sales $4,500 of computers, how much will he make total?

Answers

Answer:

Total income earn = $422.5

Step-by-step explanation:

Given:

Earning per hour work = $10

Total hour = 40

Commission = 0.5% on sales

Total sales = $4,500

Find:

Total income earn

Computation:

Income from hour work = $10 x 40

Income from hour work = $400

Total commission = 0.5% x sales

Total commission = 0.5% x $4,500

Total commission = $22.5

Total income earn = $400 + $22.5

Total income earn = $422.5

If Elena eats 2 servings of granola , how many calories dose she eat?

Answers

Answer:

However much calories 1 granola has it would be times 2

Step-by-step explanation:

Answer: 264 calories.

Step-by-step explanation:

Each serving has 132 calories.

Translate (3,-5) down 2 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?

Answers

(3,7) answer is (3,7)
(-3,-7) i believe. hope this helps

The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the shortest leg and the hypotenuse of the triangle.

Answers

Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

-x + 2 y = -12

7x + 8y = -26
X=
Y=​

Answers

Answer:

(2,-5)

Step-by-step explanation:

using a graphing calculator and inputting these two equations, you end with the coordinates (2,-5).

Answer:

2,-5

Step-by-step explanation:

3. The diagonal of a rectangular field is 169 m. If the ratio of the length to the width is 12:5, find the:
(a) dimensions;
(b) perimeter of the field.​

Answers

The dimensions are 156m and 65m

The perimeter is 442m.

What are the dimensions?

The formulae that can be used to determine the dimensions when the ratio of the dimensions are given and the diagonal is given are:

h = [tex]\frac{H}{\sqrt{ 1 + r^{2} } }[/tex]

w = [tex]\frac{Hh}{\sqrt{ 1 + r^{2} } }[/tex]

Where:

h = height H = hypotenuse r = ratio of width to the height : 5/12 = 0.41667w = width

h = [tex]\frac{169}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 156m

w = [tex]\frac{(169 x 156)}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 65m

The perimeter of a rectangle = 2(length + width)

2(156 + 65)

2(221) = 442m

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Can anyone help with thisss

Answers

It’s -11/6 because it equals to −1.83... which is the slope

what is the volume and with of a cube

Answers

3xX

Step-by-step explanation:

A store marks up merchandise 27%. The original price of an item is $725. What will be the retail price?

Answers

Answer:

$168

Step-by-step explanation:

cause the store marks up the price by 115%

The original price of the item was $725

Store increases the margin by 27%

Let us assume the retail price to be x

To get the retail price we need to add the margin added by the store to the original price which is $725 in this case.

So,

x= 725 × 127/100

x= 92075/100

x= 920.75

Another method-

Let retail price be x

Since the original price of the item is $725

The store increases the price by 27%

Add 27% of $725 to the original price to get the retail price

725 × 27/100

= $195.75

Add 195.75 to the original price to get the retail price

x= 195.75+ 725

x= 920.75

The Retail price which will be charged by the store on the merchandise will be $920.75

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Describe each part of the complex number:

-5-i

Answers

Answer:

Real Part = -5

Imaginary part = -1

Step-by-step explanation:

We need to describe each part of the complex number: [tex]-5-i[/tex]

Complex Number

A complex number is of form [tex]a+bi[/tex] where a is real part while b represents the imaginary unit.

In the given complex number: [tex]-5-i[/tex]

Real Part = -5

Imaginary part = -1

Use what you know to try to solve the problem below. A scientist is using a tracking device to measure how fast a blue whale swims. Data from the device show that the whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Make a graph showing the change in the whales distance over time. How far does the blue whale swim in 1 minute? this 25 mi: 5​

Answers

The graph showing the change in the whales distance over time is given by y = 0.5x

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the total distance covered for x minutes.

Let the constant rate be m miles per minute. The whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Hence:

2.5 = 5(m)

m = 0.5 miles per minute

y = 0.5x

In 1 minute:

y = 0.5(1) = 0.5 miles

The graph is given by y = 0.5x

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

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Short Response
6. Are the triangles at the right simílar? Explain.

Answers

Answer:

Yes they are similar because they are both right angles but the one on the right is bigger than the one on the left.

Step-by-step explanation:


To estimate your average monthly salary,divide your yearly salary by the number of months in year. Write and solve an equation to determine your yearly salary
when your average monthly salary is $4560.

I need this question answer asap!

Answers

Answer:

Solved: To estimate your average monthly salary, divide your yearly salary by the number of months in a year. Write an equation to determine your yearly salary when your average monthly salary is $4560. - Slader.

1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2

Answers

Answer:

1 . -9   =  0

2 .  x = 0

3 . 0  = 0

4 .x = -27

5 .  x = -4

Step-by-step explanation:

Write an equation of the line that passes through the given point and is perpendicular to the given line.

(–6, –4); y =1/3x + 1

Answers

Perpendicular = opposite sign and reciprocal slope
Slope would be negative and reciprocal of 1/3, slope = -3
Plug into y = mx + b
y = -3x + b, plug in point
-4 = -3(-6) + b, b = -22
Solution: y = -3x - 22

what is 8x - 4 is less than -36 show all work

Answers

Answer:

x>-4

Step-by-step explanation:

8x-4>-36

add 4 to both sides          8x>-32

divide both sides by 8      x>-4

Graph the line that passes through the points (-2, -3) and (-4, 2) and determine
the equation of the line.
HELP ASAP

Answers

Answer:

y=-2.5x+1/2

Step-by-step explanation:

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. What is the length of line segment DB? 20 units 24 units 48 units 68 units

Answers

Answer:

48 units

Step-by-step explanation:

A parallelogram is a polygon with four sides. Opposite sides and opposite angles of a parallelogram are congruent.

The diagonals of a parallelogram bisect each other.

In parallelogram ABCD, AC and DB are the diagonals. Since the diagonals meet at E, hence:

AE = CE and DE = BE (diagonals of a parallelogram bisect each other).

Since AE = CE, hence:

t + 2 = 3t - 14

3t - t = 2 + 14

2t = 16

t = 8 units

Therefore DE = 2t + 8 = 2(8) + 8 = 24 units

DE = BE = 24 units

But DB = DE + BE

DB = 24 + 24

DB = 48 units

Answer:

The answer is 48 units

Step-by-step explanation:

8. Complete the statement using <, >, or =.
a. 21-51
b. -5__ _|−9|
|5|_________|-5|
d. |−1|___________|—8|
C.

Answers

We can complete the given statements as follows-

a. 21 < 51

b. -5< |-9|

c. |5| = |-5|

d. |−1|< |-8|

Let us look at each statement one by one-

a. 21_51

here, we can clearly see that 21 is smaller than 51, so we use the < sign.

Thus, 21 < 51

b. -5_|-9|

here, on the right hand side we have a modulus sign. The modulus sign implies that we take only the absolute value.

|−9| = 9

Now, if we compare -5 and 9, 9 is clearly greater.

Hence, -5< |-9|

c. |5|__|-5|

here, |5| = 5

and |-5| = 5

Thus, |5| = |-5|

d. |−1|__|-8|

Here, |−1| = 1

and |—8| = 8

And 1 < 8,

thus, |−1|< |-8|

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a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.​

Answers

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Rs 9000 = 10%
Multiply by 10
Rs 90,000 = 100%

90,000/4500 = 20 Carpets sold

Whats The Answer Marking Brainliest, Please explain your answer:D..........

Answers

Answer: A

2^2 = 4
6-4= 2
and 4*2 equals 8.
The answer should be A

Students in school - how do we pay taxes? Get a job? Raise children?
Schools- solve for x
Plz help me With number 8 don’t get it thx

Answers

How to solve the problem is

1) Factor out the common term which is 2.

2(1+2b)/2_>3b+6


2) Cancel 2.

1+2b_>3b+6

3) Subtract 1 from both sides.

2b_>3b+6-1

4) Simplify 3b+6 -1 to 3b+5

2b_> 3b+5

5) Subtract 3b from both sides.

2b-3b_>5

6) Simplify 2b-3b to -b.

-b_>5

7) Multiply both sides by -1

b_< -5


Hope this helps :)

Find the distance between the two points rounding to the nearest tenth (if necessary).
(3,-3) and (-3,5)

Answers

Answer:  My written explanation may come out weird so I will screenshot it

d = 10

For:

(X1, Y1) = (3, -3)

(X2, Y2) = (-3, 5)

Distance Equation Solution:

d=(−3−3)2+(5−(−3))2−−−−−−−−−−−−−−−−−−−√

d=(−6)2+(8)2−−−−−−−−−−√

d=36+64−−−−−−√

d=1–√00

d=10

What number can you add to 7 to get a sum of zero

Answers

-7
If you do 7 plus a negative 7 you will receive the sun of 0.

Mr. majors ordered six hot dogs and a bucket of popcorn at the concession stand. if the popcorn was $3.20 and the total was $18.20, what was the price of one hot dog?

Answers

Answer:

The price of one hotdog is $2.50

Step-by-step explanation:

You can first write this out as an equation to make it easier to solve.

Lets say that x= the price of a hot dog and y= the price of popcorn

The equation would be:

6x + y = 18.20

We know that y= 3.20 so we can subtract 3.20 from 18.20. That will leave us with 6x = 15

Then, we just have to divide both sides by 6 and our answer comes out as x = 2.50

Answer:

2.50

Step-by-step explanation:

18.20 - 3.20 = 15.00

15.00 ÷ 6(hotdogs) = 2.5

Add a 0 at the end: 2.50

So the cost of one hotdog is $2.50

( why does that hot dog cost that much ;-; )

one important point to remember is that just because a difference between two treatment groups is found to be statistically significant, it does not mean that the difference:

Answers

Researchers use a finding's Effect size to measure magnitude and reliability.

a difference in significance does not always make a significant difference.

One reason is the arbitrary nature of the p<0.05 cutoff. We could get two very similar results, with p=0.04 and p=0.06, and mistakenly say they’re clearly different from each other simply because they fall on opposite sides of the cutoff.

The second reason is that p values are not measures of effect size, so similar p values do not always mean similar effects. Two results with identical statistical significance can nonetheless contradict each other.

Effect size refers to the measure of the magnitude of the experiment's effect. In other words, effect size measures how important is the relationship between two variables. The larger the effect size, the stronger this relationship is. Moreover, when the effect size is large, you are more likely to be dealing with a relationship that has practical significance.

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yall got any game ideas? i aint got tha energy to be doin school work, tell em to me :)

Answers

Answer:

Games to make? or play? If play then I suggest age of empires 2 DE, the games insane

Step-by-step explanation:

A student cuts a cube perpendicular to its bases. What two dimensional cross section could result from the student slicing the cube perpendicular to its bases

Answers

Answer:

Triangle

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

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