It took 6 minutes to pick 24 apples. How many apples could be picked in 8 minutes at the same rate? Dennis said, "I should divide 24 by 6 to get a rate of 4 apples per minute. So, if I multiply 4 apples per minute by 8 minutes, the answer would be 32 apples." Which statement best describes Dennis' reasoning? A. Dennis is correct. B. Dennis is incorrect because he should've devided 6 by 24 to find the answer.. C. Dennis should have divided 8 by 4. D. He should've added 2 to 24.​

Answers

Answer 1

It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

Dennis' reasoning is incorrect.

To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.

Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.

The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.

To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

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Related Questions

Jordan's team gained 12 yards in the first play in the 2nd play they lost 8 yards witch expression could be used to describe the total yards gained by the team

Answers

Answer:

The expression is (x + 4) yards where x yards represent the initial amount of yards had by tre team

Step-by-step explanation:

In this question, we are told to write an expression which can be used to describe the total yard gained by the team.

Now, before we can write an expression showing the yard gained by the team, we need a variable that will represent the amount of yard they had initially.

Let us represent this by x yard.

By gaining 12 yards in the first play, total amount of yards now become x + 12 yards

Now in the second play, they lost 8 yards and this translates to (x + 12)-8 = (x + 4) yards

Use the function rule f(x) = 2x + . Find each output. f(0), f(-2), f(2), f(10), f(-16.7)

Answers

Answer:

The function rule is f(x)=2x+3. It cut the three out.

Step-by-step explanation: cut the three out

Dose anyone know how to solve this?

Dose anyone know how to solve this?

Answers

Hi there! We are given three functions below:

\( \large \boxed{f(x) = \frac{2 + {x}^{2} }{x + 6}} \\ \large \boxed{g(x) = \sqrt{1 + 7x} } \\ \large \boxed{h(x) = | \frac{3}{4} x - 14 | }\)

Next, we are going to substitute the values that replace x-term. Substitute these values in each functions.

We are given below:

f(4)g(2)h(8)

Therefore,

\( \large{f(4) = \frac{2 + {4}^{2} }{4 + 6} } \\ \large{g(2) = \sqrt{1 + 7(2)} } \\ \large{h(8) = | \frac{3}{4} (8) - 14}| \)

Then evaluate the value.

\( \large{f(4) = \frac{2 + 16}{10} } \\ \large{g(2) = \sqrt{1 + 14} } \\ \large{h(8) = | 3(2) - 14}| \)

\( \large{f(4) = \frac{18}{10} \longrightarrow \frac{9}{5} } \\ \large{g(2) = \sqrt{15} } \\ \large{h(8) = | 6- 14| \longrightarrow | - 8| = 8 }\)

Answer

f(4) = 9/5g(2) = sqrt(15)h(8) = 8

ISSS THIS CORRECT??????please help

ISSS THIS CORRECT??????please help

Answers

Answer:

I think that is correct, sorry if i get it wrong

Answer:

Step-by-step explanation:

(4,1) you are correct

thhe solution is the intersection of thhe 2 graphs because that point of intersection belongs to both lines in the same time

Ulse the standard normal distribution or the f-distribution to construct a 95% confidence interval for the population meare Justify your decion, il newter distribution can bo used, explain why. Interpret the results In a randorn sample of 46 people, the mean body mass index (BMI) was 27.2 and the standard devation was 6.0f. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a 1-distribuition because the sample is random, the population is normal, and σ is uricnown 8. Use a normal distribution because the sample is random, the population is normal, and o is known. C. Use a nomal distribution because the sample is random, n≥30, and α is known. D. Use a t-distribution because the sample is random, n≥30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, of n < 30 , and the population a nat known to be normal.

Answers

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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An executive hires 3 office workers from 5 applicants.

How many ways can the selection be made ?

Answers

Answer:

c(5,3)

5×4×3=60

60÷3!=10

the selection can be made in 10 ways

The linear correlation coefficient for a set of paired variables is r=0.897. what proportion of the variation in y acn be explained by the linear relationship between x and y?

Answers

About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Used the concept of correlation coefficient that states,

The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient

Given that,

When paired variables are considered, the linear correlation coefficient is,

\(r=0.897\)

Hence the proportion of the variation in y explained by x is,

\(r^2 = (0.897)^2\)

\(r^2 = 0.804609\)

This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

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What is the scale factor r so that dilation from center O maps segment AB to segment A′B′ ?

Answers

The scale factor, denoted as r, is the ratio of the lengths of the corresponding sides: r = |A'B'| / |AB|.

To determine the scale factor of a dilation from center that maps segment AB to segment A'B', we need to compare the lengths of the two segments. Let's assume the length of segment AB is represented by |AB| and the length of segment A'B' is represented by |A'B'|.  The scale factor, denoted as r, is the ratio of the lengths of the corresponding sides: r = |A'B'| / |AB|.

By calculating this ratio, we can determine the scale factor of the dilation. Please provide the specific values of |AB| and |A'B'|, and I will be able to calculate the scale factor for you.

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What is the scale factor, denoted as r, that determines the dilation from center O, such that it maps segment AB to segment A' B'?

You have 4 pounds of peanuts.You want to put it in bags so that there is 2/3 pound in each bag.How many bags can you fill?

Answers

Answer:

6 bags

Step-by-step explanation:

The question simply asks you to divide 4 pounds by 2/3 pounds

4÷2/3

To divide, change the division sign to multiplication and reciprocate (flip) the number after the sign

4 x 3/2 = 6

6

suppose that for a particular firm the only variable input into the production process is labor and that output equals zero when no workers are hired. in addition, suppose that fixed cost is $130, marginal cost of each worker hired is constant at $40, and the average total cost when three workers are hired is $50. what is the output when three workers are hired?

Answers

The output when three workers are hired is 5 units..

To find the output when three workers are hired, we need to first determine the total cost and then use the marginal cost to calculate the output.

Find the total cost when three workers are hired.
Average total cost (ATC) = Total cost (TC) / Output (Q)
$50 = TC / Q
Since fixed cost (FC) is $130 and the marginal cost (MC) is $40 per worker, the total cost can be found by adding the fixed cost and the cost of the three workers.
TC = FC + 3(MC)
TC = $130 + 3($40)

Calculate the total cost.
TC = $130 + $120
TC = $250

Use the total cost and average total cost to find the output.
$50 = $250 / Q
Q = $250 / $50
Q = 5

Therefore, the output when three workers are hired is 5 units.

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a prism with a base area of 5ft2 and a height of 10 ft is dilated by a factor of 6/5. what is the volume of the dilated prism

Answers

I guess 52inches as volume of a prism=Base area x Height

What is the area of this triangle?


1375 ft²


1500 ft²


3300 ft²


4500 ft²

What is the area of this triangle?1375 ft1500 ft3300 ft4500 ft

Answers

Answer:

Area of a triangle = 1/2 * base * height

here ,

base = 120 ft

height = 25 ft

Area = 1/2* 120*25

= 60 * 25

= 1500 ft²

Answer 2

Answer:

1/2 * base * height

so 1/2 * 25 * 120

= 1500

Let the function f be defined by f(x) = 12-5x

What value of a will make the equation f(a) = 6 true?


6/5


-18


-13


5/6

Answers

Answer:

6/5

Step-by-step explanation:

given that f(a) = 6

using x = a

f(x) = 12-5x

f(a) = 12 - 5a

since f(a) = 6

6 = 12 - 5 a

6 - 12 = 12 - 5a - 12

= -6 = -5a

= -6/-5 = -5a/-5

= a = 6/5

value of a is 6/5

what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?

Answers

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Write an expression for 5 more than 3 times as many nickels (n) as there are in the jar.

Answers

To write an expression for this problem we need to analyze the phrasing used. The first thing the problem says is "5" more, this means that there will be a "5 + " something, because the more is the same as a sum. The next thing the problem says is "than 3 times as nickels as there are in the jar", which would mean that our unkown variable is multiplied by 3, because "times" implies in product. With this in mind the expression can be seen below:

\(\text{ 3}\cdot n\text{ + 5}\)

For a fixed confidence level, when the sample size decreases, the length of the confidence interval for a population mean decreases.
a. True
b. False

Answers

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.

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3n-(2+n) ??????????????????????????

Answers

Answer:

2n - 2

Step-by-step explanation:

\(3n-(2+n)\\\\3n-2-n\\\\3n-n-2\\\\\boxed{2n-2}\)

Hope this helps.

3n -(2 + n)
3n - 2 - n
2n - 2

Rational numbers are _____ natural numbers.

always
sometimes
never

Answers

Answer:

Always

Step-by-step explanation:

The pizza place sells pies in two sizes. Large has eight slices and medium has six slices. In either fraction or percentage, how much larger is the large pie compared to the medium pizza?

Answers

Answer:

2/15

Step-by-step explanation: you take the number of medium and subtract it by large to get your difference you the add them together so you can get your overall making that the denominator

PLEASE HELP IM TIMED!!!
solve for x

PLEASE HELP IM TIMED!!! solve for x

Answers

Answer:

it wont let me see the photo..

Step-by-step explanation:

Answer:There is no X

Step-by-step explanation:

The shapes are sorted into two groups- circled and not circled. How are the shapes in the two groups different?​

Answers

Circled shapes have a circular boundary, while not circled shapes can have a wide range of different boundaries, often featuring straight sides and angles rather than curves.

The classification of shapes into circled and not circled groups typically implies that some shapes are enclosed within a circle, while others are not. This distinction is based on whether the shape has a circular boundary or not.

Shapes that are circled have a well-defined circular outline or boundary. For example, a circle itself is a shape that belongs to the circled group. Other examples of circled shapes can include ellipses, ovals, or curved shapes that resemble circles when enclosed within a circular boundary.

On the other hand, shapes that are not circled lack a circular boundary. These shapes can have various other forms, such as squares, triangles, rectangles, pentagons, hexagons, or any irregular shape that does not fit within the definition of a circle or possess a circular outline.

The primary distinction between the circled and not circled shapes lies in their respective boundaries. Circled shapes have a circular boundary, while not circled shapes can have a wide range of different boundaries, often featuring straight sides and angles rather than curves.

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Ann bowled 115,121,125,118 and 122 in five games. What must Ann bowl in the sixth game so that she will have an average score of 120 for the six games?​

Answers

Ann must bowl 119 in the sixth game to have an average score of 120.

What is average?

Average is defined as the mean value that is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

According to question,

155+121+125+118+112+x= 6(120)

601+x=720

x= 720-601

x= 119

Hence, she must bowl 119 in the sixth game.

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can you guys solve these

can you guys solve these
can you guys solve these

Answers

Answer:

The answer to picture 1 is C D B A

Step-by-step explanation:

Which of the following represents the factorization of the trinomial below?
-2x^3 - 14x^2 - 12x
A. -2x(x + 1)(x-6)
B. -2(x^2 + 1)(x-6)
C. -2(x^2 + 1)(x+6)
D. -2x(x+1)(x+6)
SUBMIT

Answers

Attached solution, I hope it’s help you
Which of the following represents the factorization of the trinomial below?-2x^3 - 14x^2 - 12xA. -2x(x

Harlan is building a fence. After he sets the corner post, he uses 2 eight-foot posts, 4 braces, and 48 feet of paneling for every 12 feet of fence. Harlan needs to build 60 feet of fence today and he has 208 feet of paneling. How many more feet of paneling does he need?

Answers

32 because Eva told me

what is e * 6 - 4 * 1 ​

Answers

Answer:

14 is the answer if you mean 3 by that e

7/15 simplified I’ve tried everything!!PLEASE ANSWER ASAP

Answers

Answer:

You cannot simplify 7/15 to a smaller fraction. But you could divide 7 by 15 to get a decimal.

Step-by-step explanation:

Answer:

you can't simplify the number 7

Ramon drew boxplots to summarize the number of pages in each chapter of two books. The values of the interquartile ranges for these boxplots are the same. Which boxplot could represent this data?

Answers

Answer

look at the ss i sent to see the answer

Step-by-step explanation:

Ramon drew boxplots to summarize the number of pages in each chapter of two books. The values of the

How do you stretch vertically by a factor of 3?

Answers

Since the function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3.The option that is the correct expression for g(x) is option C: g(x) = 3x² + 3

What is the factor about?

In the above case,  we shall multiply the base function by the scale factor when stretching a function vertically. As a result, we have g(x) = 3 f. (x). Don't forget to share 3 to each term in f. (x).

g(x) = 3(x² + 1)

=3x² + 3

As a result, the appropriate formulation for g(x) is 3x² + 3.

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See complete question below

The function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3. Which of the following is the correct expression for g(x)?

 g(x) = 3x² + 1

g(x) = x² + 3

g(x) = 3x² + 3

g(x) = 3(x + 1)2


Just need answer x=

Just need answer x=

Answers

Answer:

\(at \: y = 20 \\ x = 20\)

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