Students in an Algebra 1 class will perform the following experiment and then model it mathematically. They begin with 128 two-colored counters (a chip that has a yellow side and a red side) in a bag and complete the following steps:

Pour the counters from the bag onto the floor.
Count the number of counters that land on yellow.
Record the trial number and the number of counters that landed on yellow.
Put the counters that landed on yellow back into the bag and leave the rest on the floor (off to the side).
Steps 1 to 4 constitute one trial of the experiment. Repeat trials until no counters land on yellow.

Question 1
POSSIBLE POINTS: 1
Part A

Select the equation that best represents f(n), the number of yellow counters that land on yellow (and are put back into the bag) at the end of trial n, when n≥1?


A f(n)=128(12)nf of n is equal to 128 times 1 half to the n th power

B f(n)=128−12nf of n is equal to 128 minus 1 half n
Question 2

Part B

How many trials would the students most likely need to run until exactly one counter lands yellow side up (and is put into the bag)? Use mathematics to justify your response.

Answers

Answer 1

The number of counters is an illustration of a linear function

The number of counters that land on yellow is: [tex]f(n) = 128 - \frac 12n\\[/tex]The students need 254 trials to have one yellow side up

How to determine the equation

The number of counters is given as:

Count = 128

Each counter is two-colored (i.e. 1/2 yellow and 1/2 red)

So, the equation that represents the number of counters that land on yellow is:

[tex]f(n) = 128 - \frac 12n\\[/tex]

The number of trials to have one yellow side up

When one yellow side is up, we have:

f(n) = 1

So, we have:

[tex]1 = 128 - \frac 12*n[/tex]

Subtract 128 from both sides

[tex]-127 = - \frac 12*n[/tex]

Multiply both sides by -2

[tex]n =254[/tex]

Hence, the student needs 254 trials to have one yellow side up

Read more about linear equations at:

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Answer:

C. 360

Step-by-step explanation:

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B. The mean absolute deviation is 2.
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ОО
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Answers

Answer:

its B if you are doing the big test

Step-by-step explanation:

The mean absolute deviation is 2.

What is mean absolute deviation?

'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'

According to the given problem,

Mean of the given data set = 14

Absolute deviation of mean from each data point,

⇒ ( 9 - 14 ) = 5

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⇒ ( 14 - 14 ) = 0

⇒ ( 15 - 14 ) = 1

⇒ ( 15 - 14 ) = 1

⇒ ( 18 - 14 ) = 4

Mean absolute deviation = [tex]\frac{5+1+0+1+1+4}{6}[/tex]

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Fully explain two different ways you could use transformations to go from shape a to shape B

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Answer:

1. rotation 180 degrees to the right (or left), 2. reflect shape A over the horizontal line at the bottom of the shape, then reflect the result over the short vertical line that goes through the point where the shapes meet.

Step-by-step explanation:

See the attached image.  Method 2 calls for two reflections, one across the red line, the second across the yellow line.

P.S. I added an image that shows the shape reflected across the red line. Finally, flip THAT horizontally.

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Answer

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Step-by-step explanation:

i think this is it and hello

Can someone please help?

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Answer:

B

Step-by-step explanation:

112.5/15=7.5

[tex] \frac{112.5}{15} = 7.5[/tex] ✅

Step-by-step explanation:

Option A

[tex] \frac{15}{112.5} = 75 \\ ⇢ 0.1333 ≠75[/tex]

Option B

[tex] \frac{112.5}{15} = 7.5 \\ ⇢  7.5 = 7.5[/tex]

Option C

[tex] \frac{112.5}{15} = 75 \\ ⇢ 7.5 ≠75[/tex]

Option D

[tex] \frac{15}{112.5} = 7.5 \\ ⇢ 0.1333 ≠7.5[/tex]

Hence, option B is correct.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

you are multiplying the sum of b and 3 by 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

i think the correct answer 5(b+3)

Select the correct answer.
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B.
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Step-by-step explanation:

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Answer:

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Which statement correctly compares the graph of function g with the graph of function ?
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It is A cause it is anwser

Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted?

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Answers

Answer:

a) By blocking on shaving brush size

Step-by-step explanation:

You block on the variable that the researchers think matters.

The experiment can BEST be conducted by blocking on shaving brush size

What is the reason behind the experiments?

An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.

In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood 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.

Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.

Therefore, The experiment can be best carried out by limiting the size of the shaving brush.

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Answers

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Step-by-step explanation:

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Answer : I think this is the answer... hope this helps you buddy!

2/3x = 1/4x-5

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Answers

Answer:

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Answers

Answer:

true

Step-by-step explanation:

plug in u. u=e

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true

5th grade math. correct answer will be marked brainliest

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20

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Answer:

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How do we get the Area of a Triangle? *
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Answer:

Use the formula 1/2 bh

Step-by-step explanation:

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Answer:

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[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

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[tex] \boxed{length \times width}[/tex]

[tex]20 \times 10[/tex]

[tex]200[/tex]

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[tex] \boxed{ \frac{1}{2} \times base \times height }[/tex]

[tex] \dfrac{1}{2} \times 20 \times 4[/tex]

[tex]10 \times 4[/tex]

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[tex] \#TeeNForeveR[/tex]

1. Which is greater 5/6 or 6/9

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Answer:

5/6

Step-by-step explanation:

5/6=0.833

6/9=0.667

There for 5/6 is greater than 6/9

In assessing the validity of any test of hypotheses, it is good practice to a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data. b. determine exactly how the study was conducted. c. determine what assumptions the researchers made. d. all of the above.

Answers

Answer:

The Correct option is - d. all of the above.

Step-by-step explanation:

To find - In assessing the validity of any test of hypotheses, it is good practice to

a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data.

b. determine exactly how the study was conducted.

c. determine what assumptions the researchers made.

d. all of the above.

Proof -

All the Given options are correct to study the validity of a hypothesis test.

So,

The Correct option is - d. all of the above.

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Answer:

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