Find the perimeter of the entire rectangle shown at right (that is, the length of the outside boundary of the figure). Notice that the areas of two of the parts have been labeled inside the rectangle. Also find the total area. Remember to show all work leading to your solution.

Class boundaries list: 50,70,90,110,130,150,170,190,210

1. Calculate the range.

range= maximum value - minimum value= 205 - 50 =155

2. Divide the range by the number of classes.

width= [tex]\frac{155}{8}[/tex] =19.375

3. Round this number up to the nearest multiple of five.

width = 20

class boundaries: smallest class boundry= minimum value =50

difference between two class boundries= width

class boundaries list: 50,70,90,110,130,150,170,190,210

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.

The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number the  of possible values can be represented by a continuous random variable.

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Answer:

2.1

Step-by-step explanation:

15.6 + (-13.5) + = 2.1

Remove Parentheses (-a) = -a

Subtract the numbers: 15.6 - 13.5 = 2.1

= 2.1

Answer:

If you're equally likely to land on each space then you're 1 in number of spaces to land on a specific space=1/(6+29+12+18) = 1/65

there are 12 green spaces so chance of a green space is 12/65=0.185 rounded to a nearest thousandth

The cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

Cubic feet of air used per minute = Difference in quantity of air in his tank / difference in time

= (30 - 12) / (3:30pm - 3:15pm)

= 18 / 15

= 1.2 cubic feet of air per minute

Therefore, the cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

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Answer: 5 lbs

Step-by-step explanation: 1 2/3 x 3= 5

Answer:

5 pounds

Step-by-step explanation:

1 2/3 x 3 = 5 :)

There are about 460 pages left for Quinn to read

The given parameters are

Pages = 788

Pages read = 329

The number of pages does Quinn have left to read is

Pages left = Pages - Pages read

So, we have

Pages left = 788 - 329

Evaluate

Pages left = 459

Hence, there are about 460 pages left for Quinn to read

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The distance between the Sturgis and Hot springs is 102 miles.

We have a mileage chart,

We have to estimate the distance between Sturgis and Hot Springs.

A chart showing distances between various points in miles is called mileage chart.

According to the question -

The horizontal row with the name Sturgis intersects the vertical column with the name Hot springs at the block representing 102 miles.

Therefore, the distance between the Sturgis and Hot springs is 102 miles.

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Answer:

b

Step-by-step explanation:

cuz remember () and no parentheses has a different meaning

4m^2+7m

I did this before

Answer:

126.6667%

Step-by-step explanation:

If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%

Given,

An Apple Computer store sells computers = $1234.88

The cost of computers per dozen = $10896

Cost of one computer = [tex]\frac{10896}{12}[/tex] = $908

Then the dollar markup for each computer = 1234.88-908

=$326.88

Percentage markup = [tex]\frac{326.88}{908}[/tex]×100

=36%

Hence, If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%

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Answer:

[tex]a = \frac{ \sqrt[3]{36} }{2} [/tex]

Answer:

i don't speak Spanish but I think it's 3

The formula that describes the sequence given i.e. [tex]\frac{-2}{3}[/tex],-4,-24,-144 (geometric sequence) is [tex](\frac{-2}{3} )(6)^{n-1}[/tex]

Geometric progression:

A geometric progression or a geometric sequence is a series, in which each word is varied by another by a common ratio. When we multiply the previous term by a constant (which is non-zero), we get the following term in the sequence. It is symbolized by:

A, AR,[tex]AR^{2}[/tex],[tex]AR^{3}[/tex]...

Where A is the first term of the geometric sequence and R is the common ratio of the geometric sequence.

The general term of geometric sequence i.e. nth term =[tex]AR^{n-1}[/tex]

Given that A= [tex]\frac{-2}{3}[/tex] and R=6

As a result the general term of geometric sequence i.e. nth term =[tex](\frac{-2}{3} )(6)^{n-1}[/tex]

Therefore,The formula that describes the geometric sequence given i.e. [tex]\frac{-2}{3}[/tex],-4,-24,-144 is [tex](\frac{-2}{3} )(6)^{n-1}[/tex]

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The graph of the polynomial function is (x+4) (x-2) ²

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

AROUND THE GIVEN PARABOLA,

WE HAVE A POLYNOMIAL FUNCTION;

f(x)=(x+4)(x-2)²

at x=0

the value of f(x)=16

at x=-2

the value of f(x)=32

hence  for every value of f(x)=(x+4)(x-2)² is true .

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Answer:

[tex]f=-\frac{5}{3}[/tex]

Step-by-step explanation:

If the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.

As given in the question,

Let 'a' be the base of the triangle

and 'h' be the height of the triangle

Area of the triangle = (1/2)×a× h

Side length increased by scale factor 4

New base = 4a

New height=4h

New area=(1/2)×4a×4h

              = 16×(1/2)×a ×h

              = 16 times the original area

Therefore, if the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.

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Answer:

x - 6 = 1/3x + 4

x = 15

Hope this helps :)

Hope this helps :)Explanation and Check part below.

Step-by-step explanation:

1. Get the variable on one side by subtracting x.

x - 6 = 1/3x + 4

- 1 x - 1 x

- 6 = - 2/3x + 4

2. Subtract 4 which is the inverse operation of addition.

- 6 = - 2/3x + 4

- 4 - 4

- 10 = - 2/3x

3. Divide by - 2/3 which is the invers eoperation of multiplication.

- 10 = - 2/3x

- 2/3 - 2/3

(Keep,Change,Change - KCC method)

- 10 ÷ - 2/3 = - 10 × - 3/2 = 30/2 = 15

- 10 = - 2/3x

- 2/3 - 2/3

15 = x → x = 15

Check:

15 - 6 = 1/3(15) + 4

9 = 15/3 + 4

9 = 5 + 4

9 = 9

True statement.

The frequency distribution for the given data is:

Treating the frequency distribution as a discrete distribution, we have that:

The pie chart is missing, but is given at the end of the answer.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

A frequency distribution is composed by the relative frequencies of each outcome. From the pie chart, we have that there is a total of 3 + 13 + 22 + 17 + 14 + 13 + 4 = 86 people, hence the frequency distribution is given as follows:

This is relevant because we want to treat the frequency distribution as a discrete distribution, taking the midpoint of each interval, hence:

Hence the mean is:

E(X) = 0.0349 x 2 + 0.1512 x 7 + 0.2558 x 12 + 0.1977 x 17 + 0.1628 x 22 + 0.1512 x 27 + 0.0465 x 32 = 16.71.

The mean is of 16.71.

The standard deviation is found as follows:

S(X) = sqrt[0.0349 x (2 - 16.71)² + 0.1512 x (7 - 16.71)² + 0.2558 x (12 - 16.71)² + 0.1977 x (17 - 16.71)² + 0.1628 x (22 - 16.71)² + 0.1512 x (27 - 16.71)² + 0.0465 x (32 - 16.71)²] = 10.95.

The standard deviation is of 10.95.

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Answer:

  4

Step-by-step explanation:

You want to know what number, multiplied by (5 +6), gives 20 +24.

For some number 'a', you want ...

  a(5 +6) = (20 +24)

We can solve for 'a' in the usual way.

  11a = 44 . . . . simplify

  a = 44/11 = 4 . . . . divide by the coefficient of 'a'

The missing number is 4: 4(5 +6) = 20 +24.

__

Additional comment

You can also look at it term by term:

  5a = 20   ⇒   a = 4

  6a = 24   ⇒   a = 4 . . . . the same factor, as you want it to be

The customer would pay $54.40 for the shoes

What is the dollar value of the initial discount of 20%?

The dollar worth of the general discount of 20% of the price of $80 is determined as 20% multiplied by the shoe price

dollar worth of initial discount=20%*$80

dollar worth of the initial discount=$16

the price after the initial discount=$80-$16

the price after the initial discount=$64

The fact the customer has a coupon to receive additional 15% off the sale price means the purchase price for the customer is as computed thus:

final sale price=$64*(1-15%)

final sale price=$54.40

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Harper should invest his funds in Hybrid Mutual Funds.

Therefore, Harper should invest his funds in Hybrid Mutual Funds.

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Using the monthly payment formula, the price range of houses that they should consider is:

[$513,666.78, $592,083.48].

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

For this problem, the parameters are given as follows:

The minimum price, discounting the down payment, is found when A = 2400, hence:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]2400 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]

[tex]P = \frac{2400[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]

P = $473,666.78.

Considering the down payment, we add $40,000, hence the minimum value of the range is: $513,666.78.

The maximum price, discounting the down payment, is found when A = 3000, hence:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]3000 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]

[tex]P = \frac{3000[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]

P = $592,083.48.

Considering the down payment, we add $40,000, hence the maximum value of the range is: $592,083.48.

Hence the price range is:

[$513,666.78, $592,083.48].

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