This is a scale drawing of a flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area in square inches of the actual flag.

Answer:

Step-by-step explanation:

we are given opposite and adjacent if the given right angle triangle

we want to make an equation with the given information

notice that adjacent is greater than opposite so we can only take 30° as our angle

hence,

using trigonometric property

our equation is

[tex] \displaystyle \: \tan( {30}^{ \circ} ) = \frac{h + 1}{6} [/tex]

we took tangent function because we know that tangent function is the ratio of opposite and adjacent

now let's solve the equation

recall unit circle:

[tex] \displaystyle \: \frac{ \sqrt[]{3} }{3} = \frac{h + 1}{6} [/tex]

cross multiplication:

[tex]3(h + 1) = 6 \sqrt{3} [/tex]

divide both sides by 3:

[tex]h + 1 = 2 \sqrt{3} [/tex]

cancel 1 from both sides:

[tex] \therefore \: h = 2 \sqrt{3} - 1[/tex]

by using mental math

The angle of elevation at the top of a tower at a point on the ground is 30° at a distance of 6 metre from the foot and the height of the tower is h+1. find h

now this question verifies the equation

because we are given a right angle triangle where the opposite is less than the adjacent so we took 30° as our angle

by solving the equation we'll again get our answer

The probability of z being less than or equal to,-1.09 is approximately 0.1379,-1.5 is approximately 0.0668, 1.3 is approximately 0.0968.2.54 is approximately 0.0057,-0.71 and 2.54 (exclusive) is approximately 0.6467.

To compute these probabilities, we can use the standard normal distribution table or a statistical software. In the standard normal distribution table, we look up the given z-values and find the corresponding probabilities.

For (a), the probability of z being less than or equal to -1.09 is approximately 0.1379.

For (b), the probability of z being less than or equal to -1.5 is approximately 0.0668.

For (c), the probability of z being greater than or equal to 1.3 is approximately 0.0968.

For (d), the probability of z being greater than or equal to 2.54 is approximately 0.0057.

For (e), we subtract the probability of z being less than or equal to -0.71 from the probability of z being less than or equal to 2.54. This gives us approximately 0.6467.

These probabilities provide information about the likelihood of certain values occurring in a standard normal distribution.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

Answer:

Dot Plot

Step-by-step explanation:

Answer:

A. 77

B. 3,773

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Population in 2017 = 3,850

Decrease rate = 2% per year

(A) We can calculate number of population decrease from 2017 to 2018 by using following formula,

Number of population decrease = Population in 2017 × Decrease rate

= 3,850 × 2%

= 77

(B). Total population in 2018 = 3,850 - 77

= 3,773

Answer:

Step-by-step explanation:

For observers right at the north pole and the south pole, there are only two seasons – an almost six-month long winter night followed by an almost six-month long summer day!

Answer:

0, 5, 10, 20, 40, ... *

Step-by-step explanation:

geometric sequences require a common ration and the only sequence with a common ratio is B. common ratio is 2

Answer:

130 dollars

Step-by-step explanation:

This time I don't think I done messed it up

Have a good day!

Answer:

I don't understand this at all but I wanted to take a stab at it anyway.

It's not an even number, it's less than 50, it has to be divisible by six or three in order to be 5 more than a perfect square, and it has to be two or three digits that equal 40.

Sounds hard.

Okay first I want to get all the odd numbered equations that could equal 40

1+39      19+21

3+37      17+23

5+35      15+25

7+33      

9+31      

11+29    

13+27    

This is taking so much brain power, wow... So none of those so far would work, which makes me think that it would be a single digit equation to make it double digit, but nothing, not even 9+9 equals 40, so at least one of the numbers would have to be double digit but that makes no sense because then the number would have to have three digits, which makes it more than 100!

This is impossible. I think I have to rephrase my answer above in saying that the number has to be more than 100, but that means I have no idea what that first line means...

I'm so frustrated by this imao... Asker of the question, if you've figured out the answer please let me know because I am so confused.

Answer:

I DONT KNOW

Step-by-step explanation:

hehe

The criterion that is least likely to be used in choosing bins (classes) in a frequency distribution is personal preference or subjective judgment.

When constructing a frequency distribution, it is important to consider objective criteria based on the nature of the data and statistical principles. Common criteria used for choosing bins include the range of the data, the desired number of bins, the shape of the data distribution, and the purpose of the analysis. These criteria help ensure that the bins effectively capture the variation in the data and provide meaningful insights. Personal preference or subjective judgment, on the other hand, may introduce bias and lack objectivity in determining the bin boundaries. It is essential to rely on objective criteria and statistical guidelines to make informed decisions when choosing bins for a frequency distribution.

To know more about frequency distributions here: brainly.com/question/30625605

#SPJ11

Answer:

El dibujo se encuentra adjuntado al término de este documento, después de las explicaciones previas.

Step-by-step explanation:

Por Geometría sabemos lo siguiente:

Angulo recto - Dos semirrectas con origen común y cuya medida angular es mayor a 0° y menor a 90°.

Angulo obtuso - Dos semirrectas con origen común y cuya medida angular es mayor a 90° y menor a 180°.

Angulo recto - Dos semirrectas con origen común y cuya medida angular es igual a 90°.

Angulo llano - Dos semirrectas con origen común y cuya medida angular es igual a 180°.

Finalmente, presentamos un dibujo representativo de los cuatro tipos de ángulos.

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

Answer:

A

Step-by-step explanation:

got it correct in edu

Answer:

if it is one gallon then it will take 75 more percent

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2/4

Step-by-step explanation:

Answer:

1.33333 hours

Step-by-step explanation:

Given :

Time taken by Libby = 2 hours

Time taken by Ethan = 4 hours

rate = 1 / time taken

Libby's rate = 1 /2

Ethan's rate = 1/4

Combined rate = Libby's rate + Ethan's rate

Combined rate = 1/2 + 1/4 = 3/4

Time taken = 1 / combined rate

Time taken = 1 / (3/4)

Time taken = 4 /3

Time taken = 1.33333 hours

Answer:

5/9

Step-by-step explanation:

Answer:

A = 0.55 or 5/9

Step-by-step explanation:

Area = HL

A = (5/6)(2/3)

A = 0.55 or 5/9

The mean of the data set would be 75.

Answer:

V=πr2h=π·3332·666≈2.32013×108

Step-by-step explanation:

Answer: the volume of the cone is 21 inches cubed

Step-by-step explanation:

Answer:

65.97 or 65.96

Step-by-step explanation:

follow this picture and i want you to know that sometimes if you look it up and put in the info, it will be 1 or 2 off. sometimes it’s right. the actual formula for finding volume is V= 1/3h(pi)r and to the second power.

now i have no clue if i did this right but i will let you follow your instinct and whatever anyone else says! i’m sorry if this isn’t helpful but i tried by best at describing :)

Answer:

La jerarquía de operaciones es un método para resolver operaciones con múltiples operadores; saber realizarla te servirá para resolver los diversos problemas que te presenten en tu examen CENEVAL EXANI-II.  En primer lugar, se deben resolver las operaciones de potencias y raíces.

Step-by-step explanation:

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation [tex]y = x +1[/tex], let's replace the value of x:

Finally, if we draw a line tha cross these 2 points, we will have the graph that represents [tex]y = x +1[/tex].

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation [tex]y = kx[/tex], but we don't know the value of k, so what should we do? It's easy:

k is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If x = 0, so y = 0 as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

Answer: $4

Step-by-step explanation: Since he needs 10 dollars and he already has 6 dollars, we can subtract to find the remaining amount, which is 4 dollars.

Answer:

it's probably C

Step-by-step explanation:

️‍♀️

Answer:

B

Step-by-step explanation:

Please Give brainliest

Answer:

D

Step-by-step explanation:

The given statement "For a fixed confidence level, when the sample size decreases, the length of the confidence interval for a population mean decreases." is false, length of CI increases in this case.

When the sample size decreases, the length of the confidence interval for a population mean actually increases, not decreases.

The length of a confidence interval is influenced by several factors, including the sample size, the variability of the data, and the desired level of confidence. A confidence interval provides a range of values within which the population mean is estimated to lie.

When the sample size is smaller, there is less information available to estimate the population mean accurately. As a result, the confidence interval needs to be wider to accommodate the increased uncertainty. This wider interval allows for a larger range of potential values for the population mean.

On the other hand, as the sample size increases, there is more data available to estimate the population mean. This increased amount of information leads to a more precise estimate, allowing for a narrower confidence interval.

Therefore, for a fixed confidence level, as the sample size decreases, the length of the confidence interval for a population mean generally increases, not decreases.

To learn more about confidence interval click on,

https://brainly.com/question/29561750

#SPJ4

the answer is C...... ....

C. .....

Answer:

The point estimate is 0.88

Step-by-step explanation:

Given

[tex]n = 2000[/tex] -- sample size

[tex]x = 1760[/tex] -- adults who think future health of social security is a major economic concerm

Required

Determine the point estimate

This is calculated as:

[tex]\hat p= \frac{x}{n}[/tex]

[tex]\hat p= \frac{1760}{2000}[/tex]

[tex]\hat p = 0.88[/tex]

The point estimate is 0.88