Find the area of the irregular polygon.
8 ft
4 ft
12 ft

Answer:

The sample size n= 2500

A survey with 2500 left-handed people guarantees  the given margin error is 2%

Step-by-step explanation:

Explanation:-

The margin of error = [tex]\frac{2 S.D}{\sqrt{n} }[/tex]

here for proportions , the standard deviation (σ) = [tex]\sqrt{p(1-p)} \leq \frac{1}{2}[/tex]

[tex]Margin of error = \frac{2 S.D}{\sqrt{n} } \leq \frac{2(\frac{1}{2}) }{\sqrt{n} }[/tex]

[tex]Margin of error = \frac{1}{\sqrt{n} }[/tex]

now The necessary sample size is

[tex]n= \frac{1}{(M.E)^{2} }[/tex]

Given data the survey in order to get a margin of error of 2%

M.E = 0.02

[tex]n= \frac{1}{(0.02)^{2} } = 2500[/tex]

Conclusion:-

The sample size n= 2500

A survey with 2500 left-handed people guarantees the given margin error is 2%

Answer:

The length of ladder is 17 feet .

Step-by-step explanation:

Refer the attached figure .

Let the length of ladder AC be h

We are given that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder.

So ,Perpendicular = AB = h-9

Distance from the bottom of the ladder to the building= BC = Base =15 feet.

Using Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2\\h^2=(h-9)^2+15^2\\h^2=h^2+81-18h+225\\18h=306\\h=\frac{306}{18}\\h=17[/tex]

Hence The length of ladder is 17 feet .

Answer:

18pi or 56.52 units²

Step-by-step explanation:

Radius² = (-3-0)² + (2-5)²

= 18

Area = pi × r²

3.14 × 18

56.52

The area of the circle is 57.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To find the area of the circle, we need to know the radius.

The radius can be determined using the distance formula between the center of the circle (2, -3) and the point on the circle (5, 0).

The distance formula is given by:

d =√(5 - 2)² + (0 - (-3))²

= √3²+ 3²

=√9 + 9

=√18

The radius is the distance between the center and a point on the circle, which is the square root of 18.

Now, we can calculate the area of the circle using the formula:

Area = π × radius²

Area = π ×√18²

= 18π

= 56.52

Hence, the area of the circle is 57.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

Answer:

[tex]k = \frac{1}{3}[/tex]

Step-by-step explanation:

The coeficcient of dillation is:

[tex](6,3)[/tex]

[tex](3\cdot 2, 3\cdot 1)[/tex]

[tex]3\cdot (2,1)[/tex]

The constant of dilation is [tex]k = \frac{1}{3}[/tex].

Final answer:

To find the constant of dilation for a point A (6,3) mapping onto A\'(2,1) under dilation with respect to the origin, the coordinates are compared resulting in a constant of dilation of 1/3.

Explanation:

The question involves finding the constant of dilation when a point A (6,3) maps onto A\'(2,1) under a dilation with respect to the origin.

The constant of dilation can be found by comparing the coordinates of A with those of A\'.

For point A with coordinates (x,y) mapping to A\' with coordinates (x\',y\'), the dilation factor (k) is found by the formula k = x\'/x = y\'/y when the dilation is centered at the origin (0,0).

In this case, for the x-coordinates: k = 2/6 = 1/3, and for the y-coordinates: k = 1/3 which confirms our calculation, as the dilation factor must be consistent across both coordinates.

Therefore, the constant of dilation is 1/3.

Answer:

Every third member of the club in her physical educations class

Step-by-step explanation:

The reasoning behind this is because if Millie surveys her club members who are hosting the school play, she wouldn't be able to get an accurate average number of tickets sold because the club member have a bias in terms of purchasing the tickets as they run the club. Meanwhile the physical education class has a more random assessment because every third person in the class may or may not have an interest in the play the same way the club would.

Answer:The answer is

Neither sample will be representative. B on edge

Step-by-step explanation:):):):):):):):):):) I GOT IT RIGHT

Answer:

y=2x-2 I hope this helps

Step-by-step explanation:

Slope intercept form, y=mx+b

Answer:

381

Step-by-step explanation:

Let n be the number

When 125 is subtracted from one third of a number the result is 2

1/3n - 125 = 2

Add 125 to each side

1/3n -125+125 = 2+125

1/3n = 127

Multiply each side by 3

1/3n *3 = 127*3

n =381

Answer:

20

Step-by-step explanation:

the answer is 20 for sure

Answer: luke is twenty

Step-by-step explanation: Adam is 4 plus 6 is 10 ten times two is twenty

Answer:

luke is 20

Step-by-step explanation:

because you had 6 and 4 and multiply it by 2

Answer:

≈ 1.37 * [tex]10^{13}[/tex]

Step-by-step explanation:

Given the exponental function is:

F(x) =  200*[tex]2^{x}[/tex] where:

How many crickets will there be after three years?

3 years = 12*3 = 36 so x = 36. Substitute x into the function we have:

F(x) = 200*[tex]2^{36}[/tex] ≈ 1.37 * [tex]10^{13}[/tex]

So the number of crickets after three years is: ≈ 1.37 * [tex]10^{13}[/tex]

Answer:  There will be 1.37 x 10^13  crickets after 3 years.

Step-by-step explanation:

Hi, to answer this question we simply have to replace x in the formula by the number of months in 3 years.

f (x) = 200 (2^x)

Where x is the number of months

Since one year has 12 months,

for 3 years: 3 x 12 = 36 months

Substituting  x= 36 on the function

f (36) = 200 (2^36)

f (36) = 200 (2^x)

f(36) = 1.37 x 10^13

Feel free to ask for more if needed or if you did not understand something.

Given:

The diameter of the sphere = 42 cm

To find the volume of the given sphere.

Formula:

The volume of a sphere is given by [tex]V=\frac{4}{3} \pi r^3[/tex]

The radius is given by [tex]r=\frac{d}{2}=\frac{42}{2}=21[/tex]

Volume of the sphere:

The volume of the sphere is given by

[tex]V=\frac{4}{3} (3.14)(21)^3[/tex]

Simplifying, we get;

[tex]V=\frac{4}{3}(3.14)(9261)[/tex]

Multiplying the terms, we have;

[tex]V=\frac{116318.16}{3}[/tex]

Dividing, we get;

[tex]V=38772.7[/tex]

Thus, the volume of the sphere is 38772.7 cubic cm.

The answer is Two column proof

Answer:

c

Step-by-step explanation:

If there are 100 cards and you can only pick numbers less then 12, you then could only have a number between 1 and 11

Answer:

its c

Step-by-step explanation:

You can rewrite the equation as

[tex]3x^2-4x=0 \iff 3x^2=4x[/tex]

So, you draw the graph of [tex]y=3x^2[/tex] (the parabola), and then the graph of [tex]y=4x[/tex] (the line), and see where they intersect.

To solve the equation 3x^2 - 4x = 0 graphically, Amber can draw the graph of y=3x^2 and a straight line that intersects the parabola. The x-values where the line intersects the parabola are the solutions to the equation.

To solve the equation 3x^2 - 4x = 0 using a graphical method, Amber starts by drawing the graph of y=3x^2. This is a parabola that opens upwards with a vertex at the origin (0,0). Since she wants to find the x-values that satisfy the equation, she needs to draw a line that intersects the parabola. The line should be a straight line that crosses the x-axis at the values of x that make the equation true.

To draw this line, she needs to find two points that lie on the line. Since the equation is linear, she can choose any two points to draw the line. Let's choose two points that are easy to calculate. For example, when x=0, y=9 and when x=1, y=12. Plot these two points on the graph.

Next, draw a straight line that passes through these two points. Extend the line so that it intersects the parabola. The x-values where the line intersects the parabola are the solutions to the equation 3x^2 - 4x = 0. In this case, the line intersects the parabola at x=0 and x=4/3.

https://brainly.com/question/30340061

#SPJ3

Answer:

√3·5x

Step-by-step explanation:

√(75x²) = √75·√x²

or          =√3√25√x²     Recognize that both 25 and x² are perfect squares.

or           =√3·5x

Answer:

56x^7

Step-by-step explanation:

48x^7-(-8x^7) = 48x^7 + 8x^7 = 56x^7

Answer:

a.) (-16,0)(0,12)

b.) (-3,0)(0, 3/2)

Step-by-step explanation:

Plug it in for each.

y= 3/4x+12 (Lets plug in our x intercept of (x,0) and our y intercept of (0,y)

x-intercept

0=3/4x+12

-12        -12

-12=3/4x

-12/(3/4)=x

-16=x

SO, your x intercept is -16 which is point (-16, 0)

Now to do your y intercept in lets plug x in as 0 instead this time:

y = 3/4(0)+12

y = 12

Your y intercept is 12

Now for b its the same process of plugging 0 in for the values let

y-int=-2(0)-4y+6=0

                      -6  -6

                       -4y/-4=-6/-4 <- divide both sides by 4

                              y = 3/2 <- Simplified answer

y int = (0, 3/2)

x-int = -2x-4(0)+6 = 0

                       +6   +6

                       -2x = 6

                           x = 6/-2 <-- Divide both sides by -2

                           x = -3     <-- Simplify

x-int = (-3, 0)

Answer:

42.43  [tex]cm^{2}[/tex]

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

[tex]Area\ of\ cirle=\pi r^{2}[/tex]

                      [tex]=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\[/tex]

As here length an width both are 11 cm, we can say that this is a square.

[tex]Area\ of\ square=(Side)^{2}[/tex]

                         [tex]=11\times11=121\ cm^{2}[/tex]

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]

Therefore, the area of the shaded region will be 42.43  [tex]cm^{2}[/tex]

Answer:

V = 220 feet³

Step-by-step explanation:

Formula: V = LWH

(8ft) (5ft) (5.5ft) = 220 ft^3

Answer:

a) 20%

b) 400%

Step-by-step explanation:

In a) you firts do

$310000=100% what about $62000.Then cross multiply

$62000×100%=6200000÷310000=20%

In b) you first do

$62000=100% what about $248000.Then cross multiply

$248000×100=$24800000÷62000=400%

The 1985 cost of the house is 20% of the 2003 price. There was a 400% increase in price from 1985 to 2003.

To answer both parts of this question, we will use the concept of percentages.

(a) First, we calculate the 1985 price as a percentage of the 2003 price by dividing the cost of the house in 1985 by the cost in 2003, and then multiply the result by 100 to give a percentage. So we have (62000/310000)*100 = 20%. Therefore, the 1985 house cost represents 20% of the 2003 price.

(b) To calculate the percentage increase from 1985 to 2003, we take the difference in prices from 1985 to 2003, divide this by the original price in 1985, and then multiply the result by 100. So we have ((310000-62000)/62000)*100 = 400%. Hence, there was 400% increase in the price from 1985 to 2003.

https://brainly.com/question/32197511

#SPJ3

On a timeline, a milestone 11 years in the future will be to the left of a milestone 20 years in the future and to the right of a milestone 25 years in the future, considering events are arranged from left (earlier) to right (later).

On a Timeline a milestone 11 years in the future will be to the left of a milestone 20 years in the future and to the right of a milestone 25 years in the future. This question revolves around understanding the sequential order of events plotted on a timeline, which is a graphical representation of events placed in a chronological sequence. A timeline is typically read from left to right, with events placed according to their date from earliest to latest. Therefore, if we are talking about the future, 11 years from now is sooner than 20 years from now, so it would be placed to the left. Similarly, it is later than 25 years from now, hence it would be to the right of the 25-year milestone.

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

[tex]\hat{p} = 89\% = 0.89[/tex]

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

[tex]z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]z_{critical}\text{ at}~\alpha_{0.10} = 1.64[/tex]

Putting the values, we get:

[tex]M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016[/tex]

Thus, the margin of error for the survey is 0.016

The margin of error for the given survey, when wanting a 90% confidence level, is approximately 1.58%. This means that the true proportion of American adults who approve of cloning endangered animals is likely to be within 1.58% above or below the survey's result of 89%.

The subject matter of this question is in the field of statistics, specifically exploring concepts of confidence intervals and margin of error. A 90% confidence interval implies that we are 90% certain that the true population proportion lies within the calculated range, whereas the margin of error gives us the range that this estimate might deviate from the actual value.

In your scenario, you have a sample size of 1024 adults with 89% approving cloning of endangered animals. To compute the margin of error in this case, we first need to find the standard error. The standard error (SE) for a proportion is calculated as √[P(1 - P) / n] where P is the sample proportion and n is the total sample size. Let's compute this:

For a 90% confidence interval, the critical value from the z-table is 1.645 ((double-tail distribution). Therefore, the margin of error (E) is calculated as:

To interpret this value, you could say that with 90% confidence, the true proportion of American adults in favor of cloning endangered animals is within the range of 1.58% above or below 89%.

https://brainly.com/question/32678356

#SPJ3

Answer: a, d,f

On edge.

Step-by-step explanation:

The possible measures of the angle are -450°, -90° and 270°

An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

In any standard position, the vertex of the angle is on the origin (0, 0) of the x and y-axis. Therefore, one side of the angle is always fixed along the positive x-axis, namely, going to the right along the axis in the 3 o'clock direction. This is called the initial side of the angle. The other side of the angle is called the terminal side.

Hence, the angles that match the figure above are the measures of the angle. That is:

-450°

-90°

270°

For more references on terminal side, click;

https://brainly.com/question/22593628

#SPJ5

Answer:

24 = AE

How to find it

AB = 26 and BD = 20 find AE

Because its a rhombus point is the midpoint of BD so BE is 1/2 BD so BE is 10

Now we no longer need to use BD and instead we use BE

Now since ∠BEA is 90° we can use the Pythagorean Theorem

AB²-BE²=AE²

26²-10²=AE²

676-100=AE²

576=AE²

[tex]\sqrt{576}[/tex]=AE

24 = AE

Answer:

Step-by-step explanation:

(3 x 9) + (5 + 8) + (33/3) = 51

   27   +     13    +    11     = 51

Answer:

51

Step-by-step explanation:

use PEMDAS

Answer: 8.8%

Convert the fraction to a decimal, then multiply by  100

8.77192982  rounded to the nearest 10 is 8.8%

8.8% is the answer

Answer:

x + 52 + 78 = 180

Step-by-step explanation:

By angle sum property of a triangle:

[tex]x + 52 + 78 = 180[/tex]

Answer: the top one x+52+78=180