Make a tree diagram to show all the possible sequences of answers for six multiple-choice questions, each with three possible responses. Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all six correct answers? (Round your answer to five decimal places.)

Answers

Answer 1

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

Make A Tree Diagram To Show All The Possible Sequences Of Answers For Six Multiple-choice Questions,
Answer 2

Based on the information given, the probability that all three are correct will be 0.0000217.

How to calculate the probability

From the information given, there are six multiple-choice questions, each with three possible responses.

If an individual is guessing the answers so that all outcomes listed in the tree are equally likely, the probability that the person will guess the one sequence that contains all six correct answers will be:

A = correct answer = 1/6

B = incorrect answer = 1 - 1/6 = 5/6

The probability of guessing the correct answer will be:

= 1/6 × 1/6 × 1/6 × 1/6 × 1/6 × 1/6

= 0.0000217

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Related Questions

Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

Emily volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go.

On Saturday, 416 people went to The Youth Wing, 448 people went to Social Issues, and 341 went to Fiction and Literature. On Sunday, the library had 500 total visitors.

Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.

Answers

We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

What in mathematics is a whοle number?

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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What is the solution to this inequality? 7x +18 > -3

x<-3
x<3
x>-3
x>3​

Answers

x > -3

Step-by-step explanation:

7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3

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Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?

Answers

Answer:

$68

Step-by-step explanation:

=> 20% 0f 340

=> (20/100) * 340

=> (1/5) * 340

=> (340/5) = 68

Sarah spends $68 dollar on transportation.

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a gallup poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true in her large high school. so she surveys a random sample of 150 students at her school.

Answers

It is likely that the result of the Gallup poll generally holds true for Yvonne's school.

Yvonne can calculate the sample proportion of teens who report that they seldom or never argue with their friends by using the formula:

P = (number of teens who report that they seldom or never argue with their friends / sample size)

For Yvonne's survey of 150 students, if 108 of them report that they seldom or never argue with their friends, then the sample proportion is:

P = (108/150) = 0.72

This result is very close to the 72% reported in the Gallup poll. Therefore, it is likely that the result of the Gallup poll generally holds true for Yvonne's school.

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If $1,000 is invested at 5% interest, compounded continuously, for five years, what is the ending balance?

Answers

Answer:

1284.03

Step-by-step explanation:

Sam has a cylindrical storage container 6 inches tall (h=6) with a
radius of 5 inches(r=5). How much cat litter will fit in the container? Find the volume Round your answer to the nearest tenth.

Answers

Answer:

That would be 549.5 cubic inches of cat litter (approximately).

Step-by-step explanation: The cylindrical storage container has a height of seven inches and a radius of five inches. To know how much cat litter would fill it requires us to calculate the volume of the container.

The volume of a cylinder is given as,

Volume = Pi x r^2 x h

Where r is the radius, h is the height and Pi shall be taken as 3.14

We can now substitute for the known values as follows;

Volume = 3.14 x 5^2 x 7

Volume = 3.14 x 25 x 7

Volume = 549.5

Rounded to the nearest tenth, the container would be filled with 549.5 cubic inches of cat litter.

Answer:

The volume is 471.2 units squared.

Step-by-step explanation:

The formula for the volume of a cylinder is \(\pi r^{2} h\), where r is the radius and h is the height.

Inputting the values \(r=5\) and \(h=6\) the formula becomes \(\pi 5^{2}6\). \(5^{2}\) is 25. 25 times 6 is 150. Using a calculator to multiply by \(\pi\), we get the answer.

i really need help on this problem! reply asap!!!

i really need help on this problem! reply asap!!!

Answers

A small = 32.5
A big = 112.5
A shaded = 112.5 - 32.5 = 80

Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice

Answers

Based on the information given, the price of the zero coupon bond is $692.04.

How to solve

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in years

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.

Answers

It doesn’t make sense. Non of those are fractions. Sorry! But if they were, your answer is: 42/25

Which of the following ordered pairs make this equation true?

Y=x-1

A) (3,2)

B) (1,4)

C) (4,5)

D) (0,1)

Which of the following ordered pairs make this equation true?Y=x-1A) (3,2)B) (1,4)C) (4,5)D) (0,1)

Answers

Answer: A

Step-by-step explanation:

Replace x by 3, and y by 2

Answer:

A. (3, 2)

Step-by-step explanation:

x = 3 , y = 2

• Y= x - 1

• 2 = 3-1

• 2 = 2

.
Find the first five terms of the geometric sequence

. Find the first five terms of the geometric sequence

Answers

The first five terms of the sequence with a = 3 and r = -2 are: 3, -6, 12, -24, 48.

Finding the first five terms of the geometric sequence

The general formula for a geometric sequence is given by:

an = a * r^(n-1)

where "a" is the first term, "r" is the common ratio, and "n" is the number of the term we want to find.

In this case, we have:

a = 3

r = -2

So the first term is 3, and the common ratio is -2. We can use the formula above to find the first five terms of the sequence:

a1 = 3

a2 = 3 * (-2)^(2-1) = -6

a3 = 3 * (-2)^(3-1) = 12

a4 = 3 * (-2)^(4-1) = -24

a5 = 3 * (-2)^(5-1) = 48

Therefore, the first five terms of the geometric sequence with a = 3 and r = -2 are: 3, -6, 12, -24, 48.

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find the geometric mean of 9 and 14

Answers

Answer:

foće de moçhò de casà là ocoreatane

For tax purposes, you may have to report the value of your assets, such as cars or refrigerators. The value you report
drops with time. "Straight-line depreciation" assumes that the value is a linear function of time. If a 1150 dollar
refrigerator depreciates completely in 9 years, find a formula for its value as a function of time, x, in years.
value =
dollars

Answers

Depreciation implies the rate at which an asset is written off per year. So that the required formula is: value = $1150 - $127.78x.

Depreciation of an asset is a simple way of writing off the asset with respect to its life span. Using straight line method, the formula for determining depreciation is:

Depreciation = \(\frac{Cost of asset - Residual value}{Time(years)}\)

The residual value is the cost of the asset after its useful life.

Thus, in the given question, residual value of the asset = 0

So that,

Depreciation = \(\frac{Cost of asset}{Time}\)

                      = \(\frac{1150}{9}\)

Depreciation = 127.78

Thus, the depreciation of the asset is $127.78 per year.

Therefore since the asset depreciates by 127.78 every year, then the formula for its value as a function of time in years is:

Value = $1150 - $127.78x

where x is in years.

The required formula for the value is $1150 - $127.78x

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A cruise ship can cover 19 nautical miles in 437 minutes. How many nautical miles will it travel in 345 minutes?

Answers

The cruise ship will travel approximately 15 nautical miles in 345 minutes.

How did we get the value?

Use a proportion to solve this problem. Let "d" be the number of nautical miles the cruise ship will travel in 345 minutes. Then:

19 nautical miles / 437 minutes = d nautical miles / 345 minutes

To solve for "d", cross-multiply:

19 nautical miles x 345 minutes = d nautical miles x 437 minutes

Then, divide both sides by 437 minutes to isolate "d":

d nautical miles = (19 nautical miles x 345 minutes) / 437 minutes

Simplifying this expression, we get:

d nautical miles = 15 nautical miles (rounded to the nearest whole number)

Therefore, the cruise ship will travel approximately 15 nautical miles in 345 minutes.

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Hugo is a veterinarian. he knows the following information about his 41 patrons:

• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat

Answers

The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

What exactly does "patron" mean?

formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.

Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.

13 people(20 - 7) do not own dogs but do own cats.

There are 4 persons who own both a dog and a cat (17 - 13).

The people who have a dog, and do not have a cat is  24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.

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Solve each of the following equations or inequalities and graph the solution on a number line. 6w is less than or equal to 48.618

Answers

Answer:

w≤ 8.103  I hope this is right

Step-by-step explanation:

divide both sides  6w÷6 ≤ 48.618÷6

6w÷6= w≤ 48.618÷6,   48.618÷6= w≤ 8.103

Ok ok ok ok ok kilo

Please help, will give brainliest! :)

Please help, will give brainliest! :)

Answers

Answer:

the answer is 2>am sorry if wrong

I not understand this any help please answer and explain please

I not understand this any help please answer and explain please

Answers

The length the line segment DF is 21 units

What is Similarity of Triangles?

Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.

Since, the question is incomplete I can only assume that the traingles are similar

So, by rule of similarity we can say that ED/BA = DF/AC

by this 15/5 = DF/7

This implies that the length of DF is 21 units

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Please help will give a lot of points

Please help will give a lot of points

Answers

Answer:

how many points will you give?

Step-by-step explanation:

calculate the distance between the two points A ( -3 , 1 ) and B ( 3 , -1 )

thankyou ~​

Answers

Answer:

\(2\sqrt{10}\)

Step-by-step explanation:

distance = \(\sqrt{(3-(-3))^2+((-1)-1)^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\)

Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.

Answers

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Evaluate -2x + -3y if x = 10 and y = -6

Answers

-2(10)+-3(-6)

It would be -2

find the missing value ratio inches :2 and years: 3,1,8

Answers

Answer: The missing values in the ratio table will be 0.666 and 5.33 inches.

Step-by-step explanation:

As the ratio of the terms is equal. The value of x and y is ,

2/3 = x/1

x=2/3

x=0.66 inches

In order to obtain y,

2/3 = y/8

y=2×8/3

y=16/3

y=5.33 inches.

I’m having trouble with this question can someone help me

Im having trouble with this question can someone help me

Answers

Answer:

Step-by-step explanation:

sinP = ST/PS = RQ/PQ

(9 + x) x = 6^2 solve for the missing variable

(9 + x) x = 6^2 solve for the missing variable

Answers

We know that:

If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the length of the secant segment and the length of its external segment equals the square of the length of the tangent segment.

In this circle this would mean that:

\(6^2=9c\)

Solving for c we have:

\(\begin{gathered} 6^2=9c \\ 9c=36 \\ c=\frac{36}{9} \\ c=4 \end{gathered}\)

Therefore, the value of c is 4

on their first dive, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their second dive, researchers explore a deeper dive. d<-60 or(-60>d) true or false?

Answers

The statement that the inequality is d<-60 or(-60>d) is; true.

How to interpret Inequality word Problems?

Let d represent the depth of the researchers' second dive.

We are given that;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explored a deeper depth, that is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60, then deeper depth would be represented by integers less than -60.

Thus, we can conclude that d can be represented with the inequality;

d < -60

Therefore the statement that d<-60 or(-60>d) is true.

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elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12

Answers

Answer: d.12

Step-by-step explanation:

on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751

Answers

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

What is rounding of a number?

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

What is rounding of a number?

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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How can you find the surface area of a cube with an edge length of 3 inches

Answers

Answer: are you mental

Step-by-step explanation:

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