#3. estimate the perimeter and area of the figure to the nearest whole number

Answer:

23.5

Step-by-step explanation:

let's take the number as X

2X+20=66.3

2X=66.3-20

X=23.15

Answer:

Mean:  The sum of all data values divided by the total number of data values.

Median: The middle value when all data values are placed in order of size.  If there is an even number of data values, the median is the mean of the middle two values.

Mode: The most frequently occurring data value.

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Question 3

[tex]\textsf{Mean}=\dfrac{69 + 70 + 71 + 73 + 74 + 75 + 76 + 76 + 76 + 86}{10}=74.6[/tex]

Ordered data values:  69, 70, 71, 73, 74, 75, 76, 76, 76, 86

Median = (74 + 75) / 2 = 74.5

Mode = 76

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Question 4

[tex]\textsf{Mean}=\dfrac{3 + 5 + 5 + 5 + 6 + 6 + 7 + 8 + 8}{9}=5.9\: \sf (nearest \:tenth)[/tex]

Ordered data values:  3, 5, 5, 5, 6, 6, 7, 8, 8

Median = 6

Mode = 5

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Question 5

[tex]\begin{aligned}\textsf{Mean} & =\dfrac{11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 16 + 16 + 17 + 18 + 19 + 20 + 23}{15}\\ & =15.5 \: \sf (nearest\:tenth)\end{aligned}[/tex]

Ordered data values:  11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 23

Median = 15

Mode = 12, 13, 14, 16

Answer:

see explanation

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

the median is the middle value of a set of data. If there is no exact middle value then it is the average of the values on either side of the middle.

the mode is the value that occurs most often in the data set

A data set can have more than 1 mode

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(3)

(a)

mean = [tex]\frac{74+73+75+76+71+69+70+76+76+86}{10}[/tex] = [tex]\frac{746}{10}[/tex] = 74.6

(b)

Arrange the data in ascending order

 69  70  71  73  74  75  76  76  76  86

                              ↑ middle

median = (74 + 75) ÷ 2 = 149 ÷ 2 = 74.5

(c)

mode = 76

(4)

(a)

mean = [tex]\frac{6+8+8+5+6+7+5+3+5}{9}[/tex] = [tex]\frac{53}{9}[/tex] ≈ 5.9 ( to 1 dec. place )

(b)

3  5  5  5  6  6  7  8  8

                 ↑ middle

median = 6

(c)

mode = 5

(5)

(a)

mean = [tex]\frac{12+13+18+23+14+17+14+16+13+16+15+19+11+20+12}{15}[/tex] = [tex]\frac{233}{15}[/tex]  ≈ 15.5 ( to 1 dp )

(b)

11  12  12 13  13  14  14  15  16  16  17  18  19  20  23

                                      ↑ middle

median = 15

(c)

the mode is multimodal

modes are 12, 13, 14, 16

Answer:

x=13

Step-by-step explanation:

Answer:

I think 2

Step-by-step explanation:

6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2

Answer:

m<A > m<B > m<C

Step-by-step explanation:

In triangles, the measure of angles is proportional with the side length's they see,

The angle with the biggest the biggest measure sees the biggest side length

in triangle ABC the side lengths are given as

BC = 14, CA = 13 and AB = 5

from this, we can conclude:

m<A > m<B > m<C

Answer:

Step-by-step explanation:

1.

2.

3.

Answer:

The diameter is about 13.55m

Step-by-step explanation:

Calculator

Answer:

Below in bold.

Step-by-step explanation:

-8xy-6xz + 10xy + 9xz - 4yx    (Note 4yx = 4xy)

Bringing like terms together we have:

-8xy + 10xy - 4xy - 6xz + 9xz

= -2xy + 3xz.

m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1

= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1

= -4m² - 9m + 3.

Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, there are 8 events, each with 2 possible outcomes, hence:

[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]

Hence, the total number of sequences is given by:

[tex]N = 2^8 = 256[/tex].

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Answer:

C) 256

Step-by-step explanation:

Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.

Took the quiz ;)

Answer:

remainder is 88

Step-by-step explanation:

if

[tex]h = 3[/tex]

[tex]f( - 3) = { ( - 3)}^{4} + { (- 3)}^{2} - 2[/tex]

[tex]f( - 3) = 88[/tex]

which is the remainder

Multiplication is the process of multiplying. The amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given a medicine provides 3.6 milligrams of medicine. Therefore, the amount of medicine the dog will have in a week is,

The amount of medicine = 3.6milligrams × 7 = 25.2 milligrams

Hence, the amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.

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Answer: 32%

Step-by-step explanation:

100 / 25= 4

4 x 8 = 32%

Answer:

[tex] \frac{2}{9} \: is \: less \: than \: \frac{1}{3} [/tex]

and

[tex] \frac{1}{3} + \frac{1}{6} \: must \: be \: more \: than \: \frac{1}{3} [/tex]

Using correlation coefficients, it is found that that the correct option is given as follows:

The correlation would stay the same because the change in units for time would have no effect on it.

The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:

The correlation would stay the same because the change in units for time would have no effect on it.

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Answer:

23 1/2 gallons of gas to travel one mile

Step-by-step explanation:

Given the car can travel 200 miles on 8 1/2 gallons of gas, we divide 200 by 8 1/2.

8 1/2 = 8.50 = 8.5

200/8.5 = 23.5 = 23.52 = 23 1/2

Answer:

17/400 gallons or 0.0425 gallons

Step-by-step explanation:

Take the ratio of the scale and the actual values :

Answer: Heyaa! ~

1.36 rounded to the nearest integer is 1!

Step-by-step explanation:

Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.

Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):

Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.

In short: 1.36 rounded to the nearest whole number is 1.

Hopefully this helps you! ~

Step-by-step explanation:

[tex] = {4}^{3} \times {4}^{x} [/tex]

[tex] = {4}^{3 + x} [/tex]

[tex] = {4}^{x + 3} [/tex]

Answer:

105 units²

Step-by-step explanation:

Area of triangle = ½bh

b = 11 + 4

b = 15

A = 2(½15(7))

2 and ½ cancel

A = 15(7)

A = 105 units²

Answer:

See below

Step-by-step explanation:

The number of loaves of bread remaining can only go as low as ZERO (you can't have negative loaves) ...and can only go as high as when h = 0

     so    0 = 42-3.5 h    

             3.5 h = 42

                h = 12       and   min is  h = 0   ( when there are 42 loaves to start)

So:

0≤ h ≤ 12

Answer:

A.

Step-by-step explanation:

bc, it's high preasured. meaning its going 2b snowy.

In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)

To answer the question, we need to know what dilation is

Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.

For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).

Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).

Since

The new coordinates of A' = (kx, ky)

= (3 × -1, 3 × 2)

= (-3, 6)

So, A' will be located at (-3, 6)

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Answer:

Step-by-step explanation:

2.2:

[tex]3^2(6)(3.14) = 169.56 in^3[/tex]

3.3

[tex]9^2(5)(3.14) = 1287.4 un^3[/tex]

Answer:

0.29 as a percentage is the same as 29%

Step-by-step explanation:

it’s going to be 29% because you just pretend that there isn’t a 0. In front of the 29 and you have 29%.

The decimal number 0.29 is equivalent to 29% when expressed as a percentage.

Given decimal is 0.29.

To convert a decimal number to a percentage, multiply it by 100 and add the percentage symbol (%).

In this case, to convert 0.29 to a percentage

= 0.29 x 100

= 29

Therefore, 0.29 is equivalent to 29% as a percentage.

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Answer:

Step-by-step explanation:

30 square unit is the area of the triangle DEF.

The properties of the triangle are:

We can use the coordinates of the three vertices of the triangle to find the length of its base and height, and then use the formula for the area of a triangle.

The base of the triangle is the line segment from point E to point F, which has a length:

|EF| = √[(4-4)^2 + (7-(-5))^2] = √(0^2 + 12^2) = 12

The height of the triangle is the perpendicular distance from point D to the line containing the base, which is the horizontal line y = -5.

Therefore, the height of the triangle is the vertical distance from point D to the line y = -5, which is 5 units.

The area of the triangle is then:

Area = (1/2) x (base) x (height)

= (1/2) x 12 x 5

= 30 square units.

Therefore, the area of triangle DEF is 30 square units.

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The area of the reflective material is:  284 square yards.

A rectangle is a quadrilateral with four sides and four right-angles.

it has two lines of symmetry.

Analysis:

To find the area of the reflecting material we find the area of the following shapes: trapezium + rectangle + triangle

bigger base of trapezium = 2 + 6 + 2 = 10 yard

smaller base of trapezium = 6

length of rectangle = 18 yard

width of rectangle : 2+6+2 = 10 yard

base of triangle is =  10 yard

Area of reflective material = 1/2(6+10) + 18x10 + 1/2(10)(8) = 284 square yards

In conclusion, the area of reflective material is : 284 square yards.

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       [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Find the slope of the line that goes through (2, 8) and (4, 6)

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

The slope formula will help us find the slope, Here it is:-

[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-

[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]

Simplifying,

[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]

Simplifying further,

[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Answer:

[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]

Explanation:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points: A(2,8) and B(4,6)

Find slope (m):

[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]

simplify

[tex]\sf \rightarrow -1[/tex]

To find equation:

[tex]\sf y-y_1 = m(x-x_1)[/tex]

[tex]\rightarrow y-8 = -1(x-2)[/tex]

[tex]\rightarrow y = -x+2+8[/tex]

[tex]\rightarrow y = -x+10[/tex]

Answer:

(x + 3)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

They're not really much to show work. Looking at the graph we need to find the origin which is (h  ,k), and the radius.

(h , k) = (-3 , 3)

The radius is r = 5 because counting it from origin to the edge.

Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2

(x - (-3))^2 + (y - 3)^2 = 5^2

(x + 3)^2 + (y - 3)^2 = 5^2

The expressions equivalent to kara's expression are 0.7p and p-0.3p

Discount price expression = p(1 - 0.3)

= p - 0.3p

= 0.7p

Check for equivalent expression

p - 0.3

Not equivalent

1 - 0.3p

Not equivalent

0.7p

Equivalent

p - 0.3p

Equivalent

1.3p

Not equivalent

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