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

4. The midpoint of VW is M-1, -2). One endpoint is W(4.4). Find the coordinates
of endpoint V.
See

Answers

Step-by-step explanation:

The distance formula is used to find the distance between two points in the coordinate plane.

When 5 is divided by 0.35, the result is closest to…
A: 13.7
B: 13.8
C: 14.2
D: 14.3
WORK MUST BE SHOWN

Answers

Answer: The answer is C. 14.285714

The answer is C (14.2)

5 / 0.35 = 14.2857143

For which of the following sets of data should a stacked bar chart be
used?
The average golfers vs the average age of tennis players

The number of white cars vs, the number of white trucks

The total number of planes landing at O’Hare Airport categorized by type

The average age of male high school grads vs. the age of female graduates

Answers

Answer:

the number of white cars vs the number of white trucks

C: The total number of planes landing at O’Hare Airport categorized by type is the answer

What is a set of data?

the dataset is a collection of numbers connected by theme. There are three ways to work with datasets: mean, median, and mode. The mean is the average of the dataset, the median is the median of the dataset, and the mode is the number or value that occurs most often in the dataset.

Standard deviation of a data set is the square root of the calculated variance of a set of data. The formula for variance (s2) is the sum of the squared differences between each data point and the mean, divided by the number of data points.

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Can someone explain to me how to do this

Answers

Find the square roots of all and then if the inequalities are true then choose the best answer

Step-by-step explanation:

The square root of 4 is simply just 2 or in other words, 4–√

= 2. It is one of those numbers which have a perfect square number. Since it is a perfect square number, the square root of 4 can be found easily.

Find the Secant <H

see photo for answer instructions​

Answers

Answer:

for angle H ,

hypotenuse = gh( √77)

adjacent side= ih( √35)

perpendicular=gi( √42)

then

we know

secant=hypotenuse /adjacent

=√77/√35

Which option is an example of an experiment?

A. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another classroom that doesn't use it

B. Asking students in a school how much time they spend exercising

C. Measuring the heights of the players on the basketball team

D. Randomly choosing 100 customers and asking them to fill out a questionnaire about the quality of service they received

Answers

A. Testing the effectiveness of a new reading program by allowing a

classroom to use it and comparing the results with another classroom that doesn't use it

What is an experiment?

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

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Mallory has $9 to buy lollipops that cost $0.35 each. What is the greatest number of lollipops she can buy?

Answers

she can buy 25 lollipops

is (1,4) a solution to this system of inequalities? 11x + y < 19 8x + 3y < 11

Answers

Answer:

Since Inequality #1 was false, or not a solution, this shows that (1, 4) is not a solution.

Step-by-step explanation:

1)

[tex]11x+y<19\\y<19-11x\\[/tex]

2)

[tex]8x+3y<11\\3y<11-8x\\y<3\frac{2}{3}-2\frac{2}{3}[/tex]

Try Our Solutions:

1)

[tex]y<19-11x\\Substitute: (1, 4)\\4<19-11(1)\\4<19-11\\4<8\\False[/tex]

Please answer!!! No links!!

Picture is included

Answers

Answer:

This would be 6 x 10 -4

Answer:

6x10^-5

Step-by-step explanation:

6 Moves 5 places to the left to become the whole number.

It's negative 5 as you moved the digit from a decimal to whole number.

As it moved 5 places it's x100000.

So it's 10^5 but it's negative

Find the solution of the system of equations. 10x + 8y = 42. -8x - 8y = -40​

Answers

23 I believe but I’m it sure
The answer would be x=1

Find Each Quotient.

1.6÷13.8

Answers

Answers is 8/69 or 0.115942028985507246768

Answer:

8/69

Step-by-step explanation:

1.6÷13.8

convert the decimal into fraction so 8/5 ÷ 13.8 and 8/5÷69/5 multiply by the reciprocal and reduce the number and you will get 8×1/69

Sophie has $200 in a savings account that earns 5% annually. The interest is not
compounded. How much will she have in total in 1 year?

Answers

Answer:

$210

Step-by-step explanation:

Formula:

P = A (1 + r% x t)

P: Answer

A: Original value

R%: Percentage increase

T: Time

P = 200 (1 + 5% x 1)

P = $210

A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine, guanine, and thymine). How many DNA sequences are exactly 29 letters long?

Answers

To solve that question we can think by the following way:

The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.

Using the fundamental principle of counting, we will find out that can be formed [tex]4\times 4 = 16[/tex] differents sequences (for example, AA, AG, TT, TG, CT...).

Know we know that, we can generalize. If I have [tex]n[/tex] elements and I must choose one of them [tex]t[/tex] times to do a sequence, the total number of sequence that I can form will be [tex]n^t[/tex].

In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is [tex]4\times 4\times 4\times ... \times 4[/tex] (29 times) [tex]= 4^{29}[/tex].

Therefore, there are [tex]4^{29}[/tex] DNA sequences with exactly 29 letters long.

I hope I've helped you. =D

Enjoy your studies. \o/

Actividad 3 Colorea las partes de las figuras como se te indican y contesta

Answers

Answer:

bshshdjdjjshdbbennjsnsvxhsbnana

Identify the terms and like terms in the expression.

T + 8 + 3t =

Answers

Answer:

3t and T are like terms

8 is an unlike term

Jim is cutting up apples to serve. 1/3 of an apple to each of the 8 people at the meeting. How many apples Jim need to serve?

Answers

Answer:

Jim needs three apples.

Step-by-step explanation:

1/3 x 8 =

8/3 =

2 and 2/3

Round up to three apples.

[tex]2\frac{2}{3}[/tex] apples Jim need to serve.

What is Expression?

An expression is combination of variables, numbers and operators.

Given that Jim is cutting up apples to serve.

1/3 of an apple to each of the 8 people at the meeting.

We need to find the number of apples Jim need to serve.

1/3 of an apple to each of the 8 people.

We have to use multiplication to find this as there is a off in the sentence.

1/3×8

8/3

[tex]2\frac{2}{3}[/tex]

Hence, [tex]2\frac{2}{3}[/tex] apples Jim need to serve.

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If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?

Answers

Answer: 480

Step-by-step explanation:

To solve this, you need to set up a proportion: 200/2.5 x/6

The 200 represents the km, and the 2.5 and 6 represent the hours. You can either solve this by multiplying 200 by 6 and setting it equal to 2.5 by x then solving for x, or you can find the rate the car travels in km in one hour. To do that, you divide 200 by 2.5 and get 80: this is your km per hour. Then you multiply that to 6 to see how far the car will go in 6 miles if it continues at the speed of 80 km per hour.

Answer:

Answer: 480 km

Step-by-step explanation:

As we know that if we keep speed or velocity constant, distance is directly proportional to time.

• In the first case:

[tex]{ \rm{d_{1} = kt _{1}}}[/tex]

d1 is 200 kmt1 is 2.5 hoursk is a constant of proportianality

• Substitute the variables with their respective values to find the value of constant, k

[tex]{ \rm{200 = (k \times 2.5)}} \\ \\ { \rm{k = \frac{200}{2.5} }} \\ \\ { \underline{ \rm{ \: \: k = 80 \: km {h}^{ - 1} \: \: }}}[/tex]

In the second case

[tex]{ \rm{d _{2} = kt _{2} }}[/tex]

d2 is what we needt2 is 6 hoursk is 80 kmh-¹

[tex]{ \rm{d _{2} = (80 \times 6)}} \\ \\ { \boxed{ \boxed{ \rm{ \: \: d _{2} = 480 \: km \: \: }}}}[/tex]

The body temperature in Fahrenheit of a sheep is modeled by the equation T=0.6sin(π28(t−9))+101.6, where t is the number of hours. To the nearest tenth of a degree, what is the temperature of the sheep when t=3? Do not include the units in your answer. NOTE: The angle is in degrees.

Answers

Answer:

101.6

Step-by-step explanation:

The temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.

Given that,

The body temperature in Fahrenheit of a sheep is modeled by the equation,

[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]

where t is the number of hours.

Now, substitute t=3 into the equation;

[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]

[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]

Since, [tex]sin(\dfrac{\pi }{28} (- 6)) = - 0.5637[/tex]

Therefore, the temperature of the sheep when t=3 is:

[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]

[tex]T = 0.6 \times - 0.5637 + 101.6[/tex]

[tex]T = 101.24[/tex]

So, the temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.

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Use the Distributive Property to expand the
expression y(9 -0.2x).

Answers

Answer:

9y - 0.2xy

Step-by-step explanation:

Answer

9y−0.2yx

Step-by-step explanation:

9 times y = 9y

y times -0.2x = -0.2xy

what is the standard form of this equation y=6x+13

Answers

Answer:

- 6x + y = 13

Step-by-step explanation:

The standard form is:

ax + by = c

Convert the given into standard form:

y = 6x + 13- 6x + y = 13

solve for x: 3-2(2x-5)<-4(x+2)

Answers

Answer:

no solution

Step-by-step explanation:

to solve this we should first distribute

3 - 4x + 10 < -4x - 2 (fyi you need to multiply the negatives into the parenthesis)

and then you combine like terms

13 < -2

because 13 is always greater than -2, this statement will never be true

Answer:

x ∈ ∅

Step-by-step explanation:

3 - 2(2x - 5) < - 4(x + 2)3 - 4x + 10 < -4x - 813 - 4x < -4x - 813 < - 8

This inequality is false hence no solution

- the linear graph for the equation y = 3x + 1​

Answers

Answer:

sda

Step-by-step explanation:

sad

Answer:

Step-by-step explanation:

Evaluate [-3c] for c = 4.2

Answers

Hey there!

Guide

• 2 Negatives = [Positive]

• 1 positive & 1 negative = [Negative]

• 2 positives = [Positive]

• 1 negative & 1 positive = [Negative]

° So, this means that your answer most likely will equal a NEGATIVE number because you have 1 NEGATIVE (-3) number and 1 POSITIVE (“c” or 4.2) number.

-3c

= -3(4.2)

= -12.6

Therefore, your answer is: -12.6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Hello, please help me out on this, I really need help (:

Answers

15 tenths 3 ones

total of 153

What does LCM mean in mathematics

Answers

Least Common Factor is the answer

Answer:

Lowest common factor.......

An item is regularly priced at $50. It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer:

Hii, okay so you pay $35 dollars and you're saving $15. Hope this helps!

Step-by-step explanation:

The discounted amount is $15.

What is discount?

A discount is an amount that is subtracted from the regular price of an item.

How to obtain the required amount?

Regular price of the item is  $50

Discount percentage is 30%

∴ The discounted value = 30×50/100 = 15

Thus, The discounted amount is $15.

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PLS HELP
2. Write a quadratic function to the model to the graph to the right

Answers

Given the vertex, (-4, 3):

We can use the quadratic function in vertex form, f(x) = a(x - h)^2 + k where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
* If a is positive, the graph opens up.
* If a is negative, the graph opens down.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Now that we defined each variable in the vertex form, we can plug in the values of the vertex (-4, 3) into the equation:

f(x) = a(x - h)^2 + k
f(x) = a(x + 4)^2 + 3

To solve for the value of “a”, we must choose another point from the graph. The y-intercept of the parabola happens to be (0, 19), so we’ll use its values to solve for “a”:

19 = a(0 + 4)^2 + 3
19 = a(4)^2 + 3
19 = a(16) + 3

Subtract 3 from both sides:

19 - 3 = a(16) + 3- 3

16 = 16a

Divide both sides by 16:

16/16 = 16a/16

1 = a

The value of a = 1. Since it is a positive number, then it confirms that the parabola opens upward.

Therefore, the quadratic function in vertex form is:

f(x) = (x + 4)^2 + 3

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Let f(x)=3(12)2x. Which is equal to f(2)?

Answers

Answer:

f(2) = 144

Step-by-step explanation:

Unless there is something I don't see (quite possible), the question is 3*12*2

multiplied by x

3*12 * 2  = 72 so the question simplifies to f(x) = 72x

f(2) = 72(2)

f(2) = 144

Type your answers into the boxes.
Complete the following questions,
(9 + 5) - 7 =
(18-6) + 4 + 6 =

Answers

Answer:

(9+5)-7= 7

(18-6) +4+6 = 22

Answer:

(9 + 5) - 7 = 7

(18-6) + 4 + 6 = 22

Step-by-step explanation:

solve 276x28 using the standard algorithm

Answers

Answer:

7728

work is shown in the image I attached!!

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