Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles

a. How far is it around the perimeter of Crater Lake

b. What is the area of the surface of Crater Lake?

Give a step by step explanation please

Answers

Answer 1

Answer:

The perimeter of a circle is calculated with 2πr

The r stands for radius. The radius is half of the diameter.

So r=2.25

Plug it in 2π(2.25)

It was simplify to 4.5π

Which would simplify down to 14.14 miles rounding to the nearest hundredth.


Related Questions

Which statement is true about a line plot? A. A line plot shows the frequency of an interval of values of any given data set. B. A line plot shows the first quartile, but not the second quartile of any given data set. C. A line plot shows the frequency of the individual values of any given data set. D. A line plot shows the mean of any given data set.

Answers

Answer:

D

Step-by-step explanation:

ou invested 7000 between two accounts paying 4% and 9% annual​ interest, respectively. If the total interest earned for the year was $430 how much was invested at each​ rate? ​$ nothing was invested at and ​$ nothing was invested at

Answers

9514 1404 393

Answer:

$3000 at 9%$4000 at 4%

Step-by-step explanation:

Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...

  9%·x +4%(7000-x) = 430

  5%·x +280 = 430 . . . . . . . . . simplify

  0.05x = 150 . . . . . . . . . . . subtract 280

  x = 3000 . . . . . . . . . . divide by 0.05

$3000 was invested at 9%; $4000 was invested at 4%.

Can someone please help me with part b ? It would be so appreciated you have no idea ;)

Answers

Answer:

absolutely yes, because pythagorean theorem is used in a right triangle

and when we match a line from the tee to the hole, we have a right triangle

Step-by-step explanation:

Question 6 plz show ALL STEPS

Answers

Step-by-step explanation:

6a. Both the x and y coordinates are negative so this means isn't must be in the Third Quadrant.

6b. The measure of this using the unt circle is

[tex] \cos(x) - \frac{1}{2} [/tex]

[tex] \sin(x) = - \frac{ \sqrt{3} }{2} [/tex]

In the unit circle, this occurs about

an angle of 240 degrees. We can find coterminal angles within the interval of 2 pi to -2 pi. Just subtract 260 from theta.( which is 240)

[tex]240 - 360 = - 120[/tex]

So the angles in the interval is

240, -120.

6c. pi/2 is the same as 90 degrees so this means that

[tex](240 + 90) = 330[/tex]

In the unit circle, we know that at 330 degrees,

[tex] \cos(330) = \frac{ \sqrt{3} }{2} [/tex]

[tex] \sin(330) = \frac{1}{2} [/tex]

So the coordinates are

(sqr root of 3/2, 1/2).

6d. pi is the same as 180 degrees so this means that

[tex](240 - 180) = 60[/tex]

In the unit circle, we know that 60 degrees,

[tex] \cos(60) = \frac{1}{2} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

So the coordinates are

(1/2, sqr root of 3/2)

How does sample size affect determinations of statistical significance? The smaller the sample size, the more confident one can be in one's decision to reject or retain the null hypothesis. The smaller the sample size, the greater the probability that the variable has an effect. The larger the sample size, the more accurate the estimation of the true population value. The larger the sample size, the greater the probability that the variable has an effect.

Answers

Answer:

The larger the sample size, the more accurate the estimation of the true population value.

Step-by-step explanation:

As large will be the sample size more data will be shown and more are the c c changes of it being an estimate of a true population. The sample size can be determined on the basis of use of experience, target variance, confidence level, and target for power.

Can someone please help me thanks in advance!

Answers

Step-by-step explanation:

Bro your question is quiet blur... Please help me out..

hope it Wonderful.

^_^....!_!_

Slope 0; through (-5, -1)

Answers

Answer:

y = -1

Step-by-step explanation:

Please help, I'll give brainliest to the correct answer <3


A company recently purchased a new set of laser printers.

The value of the laser printers P, in dollars, t years after the purchase can be represented by the function P(t)=1,900(0.82)t.

Interpret the meaning of the function in the context of this situation.(1 point)


The initial value of the laser printers was $1,900, and the value increases by 82% each year.


The initial value of the laser printers was $1,558, and the value decreases by 82% each year.


The initial value of the laser printers was $1,558, and the value decreases by 18% each year.


The initial value of the laser printers was $1,900, and the value decreases by 18% each year.

Answers

Answer:

The initial value of the laser printers was $1,900, and the value decreases by 18% each year.

Step-by-step explanation:

Here ya go bestie <3

HELPPPP PLZ
Witch statement is true about the value of |6|?

Answers

Answer:

The third choice is the correct one.

Step-by-step explanation:

The absolute value of six means that it's the distance from 0 to six, and that distance will be positive regardless of the number being negative or not.

Answer: The third answer is correct

Step-by-step explanation:

Since |6| is the absolute value of positive six, the value of an absolute value of any number is always positive.

Larissa is ordering nachos at a restaurant, and the server tells her that she can have up to four toppings: ground beef, black beans, refried beans, and sour cream. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Larissa gets just refried beans and sour cream

Answers

Answer:

0.0625

Step-by-step explanation:

Given that :

Number of toppings = 4 (ground beef, black beans, refried beans, and sour cream)

The probability of choosing any particular topping at random from the four is :

Probability = required / total possible outcomes

Hence, P = 1 / 4 = 0.25

Hence, the probability of choosing : getting refried bean and sour cream :

P(refried bean) = 1/4

P(sour cream) = 1/4

P(refried bean and sour cream) = 1/4 * 1/4 = 1/16 =

0.0625

A trolley travels in one direction at an average of 20 miles per hour, then turns around and travels on the same track in the opposite direction at 20 miles per hour of the total time waveling on the trolleys 3.5 hours, how far did the trolley travel in one direction?
mi
Enter your answer in the answer box and then click Check Answer
Clear All
Help Me Solve This
an Example
Get More Help

Answers

9514 1404 393

Answer:

  35 miles

Step-by-step explanation:

The relevant relation is ...

  distance = speed × time

The total distance the trolley traveled is ...

  d = (20 mi/h) × (3.5 h) = 70 mi

The distance is the same in both directions, so the trolley traveled half this distance in one direction.

The trolley traveled 35 miles in one direction.

HELP!!!!!!!!!!!!!!!!!!!
Calculate the future value of $2,500.00, earning interest at a rate of 2 1/2% that is compounded quarterly for 4 years.

A) $3,711.26


B) $2,563.09


C) $2,762.07


D) $5,910,086.00

Answers

Answer:

C) $2,762.07

you can use a compound interest calculator to find the answer

What is the amswerdkdmxmmdmdmdm

Answers

Answer:

HUH?

Step-by-step explanation:

What is the slope of the line that passes through the points (10,8) and (-15,18)?
Write your answer in simplest form.

Answers

Answer:

I believe it is 2/5 fraction

Answer:

-2/5

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 18-8)/(-15-10)

    = 10/-25

   = -2/5

Which of the following is equal to -27?

Answers

Step-by-step explanation:

here's the answer to your question

Answer: Third Choice. 3i√3

Step-by-step explanation:

Concept:

Here, we need to know the idea of radical expression and an imaginary number.

A radical expression is any mathematical expression containing a radical symbol. If you need to multiply the number outside of radical back into the radical, then you need to square the number then multiply.

For example: 2√5. We need to first square 2, which gives us 4. Then, it becomes √(4 × 5) = √20

Imaginary numbers are the numbers when squared it gives the negative result. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Solve:

3√3 = √(3 × 3²) = √27     FALSE

-3√(3i) = √(3i × (-3)²) = √27i     FALSE

3i√3 = √(3 × (3i)²) = √-27     TRUE

3√(3i) = √(3i × 3²) = √27i     FALSE

As we can see from above, only the third choice equals √-27.

Hope this helps!! :)

Please let me know if you have any questions

The quinceañera (the young woman being celebrated)
dances the first part of the waltz first with her father, for
about 60 seconds.
She then dances with her padrino (godfather), for about
20 seconds.
She then dances with each of the chambelanes, the
young men she has chosen to accompany her on her
special day, for about 15 seconds each.
Bárbara's quinceañera is coming up, and she has to
choose a song that will be exactly the right length, so that
she is not stuck dancing by herself at the end of the song.
How long should her song be? Show your thinking
mathematically.

Answers

Answer:

2 minutes and 5 seconds

Step-by-step explanation:

60+20+15+15+15= 125 Seconds ( 2 minutes and 5 seconds )

I added three fifteens as I don't know the number of chambelanes.

Hope it helps!

Bill and Will, starting together, ran a 400-meter race, each running at a constant speed. When Bill crossed the finish line, Will was exactly 20 yards behind Bill. They decide to run the race again, this time Bill starting 20 yards behind the original starting line and each running at his same constant speed as before. This time _______ wins by _______ yards.

Answers

Answer: Bill, 1

Step-by-step explanation:

Given

Bill and will run a 400 yard race.

Bill win by 20 yard

Suppose the speed of Bill and Will are [tex]\mathbf{v_b}, \mathbf{v_w}[/tex]

time taken for them is same for the first time

[tex]\Rightarrow t_b=t_w\\\\\Rightarrow \dfrac{400}{v_b}=\dfrac{400-20}{v_w}\\\\\Rightarrow \dfrac{v_b}{v_w}=\dfrac{400}{380}\ or\ \dfrac{20}{19}\\[/tex]

Now Bill starts 20 yards behind the starting line

Ratio of their time to cover the distances is

[tex]\Rightarrow \dfrac{t_b}{t_w}=\dfrac{\dfrac{420}{v_b}}{\dfrac{400}{v_w}}\\\\\Rightarrow \dfrac{t_b}{t_w}=\dfrac{420}{400}\times \dfrac{v_w}{v_b}\\\\\Rightarrow \dfrac{t_b}{t_w}=\dfrac{21}{20}\times \dfrac{19}{20}\\\\\Rightarrow \dfrac{t_b}{t_w}=\dfrac{399}{400}[/tex]

The obtained ratio is less than 1. Thus, the time taken by Bill is less than Will.

For the same time Bill wins

[tex]\therefore \dfrac{v_b\times t}{v_w\times t}=\dfrac{420}{x}\\\\\Rightarrow x=19\times 21\\\Rightarrow x=399\ m[/tex]

Thus, Will has covered only 399 yards.

This time Bill wins by 1 yards.

To learn more visit

https://brainly.in/question/12831056

f(x) = 3x3
3.3 – 2.02 + 4x - 5
g(x) = 6x - 7
Find (f + g)(x).

Answers

Answer:

C) (f+g)(x)= 3x^3-2x^2+10x-12

3/5x - 1/2x= 1, please help me to solve this ​

Answers

Answer:

x = - 10

Step-by-step explanation:

(6x -5x) / 10 = - 1

x = - 10

(b)
The Cartesian coordinates of a point are given.
(1, -5)
(i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 = 0 < 2.
(r, 0) =
(
(ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 < theta<2pi.
(r, 0) =

Answers

Answer:

Step-by-step explanation:

a) r = √(1² + (-5²)) = √26 = 5.09901...

   θ = tan⁻¹(-5/1) = 4.9097... radians

   (5.1, 4.9)

b) r = - 5.09901...

   θ = 4.9097... - π = 1.76819...

   (-5.1, 1.8)

Find the measure of the incanted angle to the nearest degree

Answers

Answer:

34⁰

Step-by-step explanation:

let unknown angle be x

cos x=19/23

cos x=0.826

x=cos inverse of 0.826

x=34.3⁰

Cho biết tỉ lệ máy tính bảng sử dụng hệ điều hành A là 70%, tỉ lệ máy tính bảng sử
dụng hệ điều hành W là 30%. Xác suất để một máy tính bảng có hệ điều hành sử dụng ổn định
(không phải cài đặt lại) trong 2 năm đầu tiên là 0, 75. Tỉ lệ sử dụng ổn định của các máy tính
bảng có hệ điều hành A cao hơn tỉ lệ sử dụng ổn định của các máy tính bảng có hệ điều hành
W là 20%. Hãy tính xác suất để một máy tính bảng có hệ điều hành W sử dụng ổn định trong
2 năm đầu tiên.

Answers

Answer:

máy ...

xác suất để một máy tính bảng có hệ điều hành B sử dụng ổn định trong 2 năm đầu tiên. Add answer

A product is introduced into the market. Suppose a product's sales quantity per month q ( t ) is a function of time t in months is given by q ( t ) = 1000 t − 150 t 2 And suppose the price in dollars of that product, p ( t ) , is also a function of time t in months and is given by p ( t ) = 150 − t 2 A. Find, R ' ( t ) , the rate of change of revenue as a function of time t

Answers

Answer:

[tex]r'(t) = 298t -850[/tex]

Step-by-step explanation:

Given

[tex]q(t) = 1000t - 150t^2[/tex]

[tex]p(t) = 150t - t^2[/tex]

Required

[tex]r'(t)[/tex]

First, we calculate the revenue

[tex]r(t) = p(t) - q(t)[/tex]

So, we have:

[tex]r(t) = 150t - t^2 - (1000t - 150t^2)[/tex]

Open bracket

[tex]r(t) = 150t - t^2 - 1000t + 150t^2[/tex]

Collect like terms

[tex]r(t) = 150t^2 - t^2 + 150t - 1000t[/tex]

[tex]r(t) = 149t^2 -850t[/tex]

Differentiate to get the revenue change with time

[tex]r'(t) = 2 * 149t -850[/tex]

[tex]r'(t) = 298t -850[/tex]

Please help me with this on the image

Answers

Answer:

Step-by-step explanation:

a). Given expression in the question is,

   [tex]\frac{13822\times 623}{14}[/tex]

   Exact value of the expression will be,

   [tex]\frac{13822\times 623}{14}=615079[/tex]

b). By using approximations to 1 significant figure,

   13822 ≈ 10000

   623 ≈ 600

   14 ≈ 10

   615079 ≈ 60000

   Now use the expression,

   [tex]\frac{13822\times 623}{14}=\frac{10000\times 600}{10}[/tex]

                  = 60000

product of a positive and a negative integer is ___________​

Answers

Answer:

negative

Step-by-step explanation:

because when positive and negative integers are multiplied it results to a negative answer

Find the x- and y-intercept of the line
X+4y=36

Answers

the answer:
(36,0) (0,9)

A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 5% of the time if the person does not have the virus, (This 5% result is called a false positive.) Let A be the event "the person is Infected" and B be the event "the person tests positive", a) Find the probability that a person has the virus given that they have tested positive, l.e. find P(AB). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(AIB)= % b) Find the probability that a person does not have the virus given that they test negative, I.e. find P(A'B'). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(A'B') = ​

Answers

This question is solved using the conditional probability concept.

Using this concept, we find that:

a) P(AIB)= 5.3%b) P(A'|B') = 99.9%

First, the concept is presented.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(A|B) = \frac{P(A \cap B)}{P(B)}[/tex]

In which

P(A|B) is the probability of event A happening, given that B happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(B) is the probability of B happening.

----------------------------------------------------

Question a:

For relation with the formula presented above, I will change events A and B.

Event A: Person is infected.

Event B: Positive test.

Probability of a positive test:

85% = 0.85 out of 1/300 (person has the virus).5% = 0.05 out of 299/300(person does not have the virus)

Thus:

[tex]P(B) = 0.85\frac{1}{300} + 0.05\frac{299}{300} = \frac{0.85\times1 + 0.05\times299}{300} = 0.0527[/tex]

Probability of a positive test and the person is infected.

85% = 0.85 out of 1/300. Thus:

[tex]P(A \cap B) = \frac{0.85}{300} = 0.0028[/tex]

Desired probability:

[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.0028}{0.0527} = 0.053[/tex]

0.053*100% = 5.3%, thus:

P(AIB)= 5.3%

---------------------

Question b:

Event A: Does not have the virus

Event B: Test negative.

Probability of a negative test:

100% - 85% = 15% = 0.15 out of 1/300 (person has the virus).100% - 5% = 95% = 0.95 out of 299/300(person does not have the virus)

Thus:

[tex]P(B) = 0.15\frac{1}{300} + 0.95\frac{299}{300} = \frac{0.15\times1 + 0.95\times299}{300} = 0.9473[/tex]

Probability of a negative test and the person is not infected.

0.95 out of 299/300

Thus:

[tex]P(A \cap B) = \frac{0.95\times299}{300} = 0.9468[/tex]

Desired probability:

[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.9468}{0.9473} = 0.999[/tex]

0.999*100% = 99.9%, so:

P(A'|B') = 99.9%

A similar question can be found at https://brainly.com/question/24275491

Professor Iron always gives two exams in his communications class. He only uses the lower of the two scores that a student gets on the exams when he calculates the course grade. Put the grade on the first exam on the horizontal axis and the grade on the second exam on the vertical axis. What kind of preference a student should have for these two grades. Group of answer choices Perfect Complements Perfect Substitutes Cobb-Douglas Preference Neutral Preference

Answers

Answer:

Perfect complements

Step-by-step explanation:

Since minimum score of tests is to be considered. It is a case of perfect complements.

Correct option is

Perfect complements

A bookkeeper needs to post the cost of the desk and the chair into his records. The cost of the desk is fives times the cost if the chair. The total cost of the desk and the chair is $720, what is the cost of the chair?

Answers

Answer:

120

Step-by-step explanation:

720÷6

why?

becoz 6= 1+5

1 is the cosy of the chair

5 is the cost of the desk

find the sum or difference of 4/5 - (-3 4/5)

Answers

Answer:

4 3/5

Step-by-step explanation:

4/5 - (-3 4/5)

Subtracting a negative is like adding

4/5 + 3 4/5

3 8/5

3 5/5 + 3/5

3+1+3/5

4 3/5

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