What is 424.4 ÷ 8? show your work

Answer: He is correct

Step-by-step explanation:

3/4 x 1/2 = 3/8

3 x 1 = 3

4 x 2 = 8

3/8

Answer:

yes :) he is correct!!!

Step-by-step explanation:

because 3/4 x 2 is 6/8 and 1/2 of 6/8 is 3/8! if you need any other explanation let me know and i will explain.

The number of cans that were put on display, given the number of cans per row is

To find the number of cans, you need to add up the number of cans that can be in each row.

The total number of cans would decrease by :

= 45 - 42

= 3 cans per row

The total number of cans on display is :

= 45 + 42 + 39 + 36 + 33 + 30 + 27 + 24 + 21 + 18 + 15 + 12 + 9 + 6 + 3

= 360 cans

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The full question is :

A display of cans in a grocery store consists of 15 rows. There are 45 cans on the bottom , 42 cans on the next row, and so on, How many cans did they use in the display?​

The second leg of Jane's jog takes her 15 minutes if the ratio of the times of the four legs of the jog is 3: 5: 1: 4.

To find the length of the second leg of Jane's jog, we need to determine the total number of parts in the ratio. In this case, the total number of parts is 3 + 5 + 1 + 4 = 13.

Next, we need to find the length of each part by dividing the total time of 39 minutes by the total number of parts: 39 minutes ÷ 13 = 3 minutes per part.

Since the second leg is represented by 5 parts in the ratio, we can calculate its length by multiplying the number of parts by the length of each part: 5 parts × 3 minutes/part = 15 minutes.

Therefore, the second leg of Jane's jog takes her 15 minutes.

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Answer:

\((-5,-8).\)

Step-by-step explanation:

Given the equation

\(-3x+7y=5x+2y\)

We need to find the missing value of the coordinate; (-5, __)

First, we collect like terms

\(-3x-5x=2y-7y\\\\-8x=-5y\)

When x=-5

\(-8*-5=-5y\\\\40=-5y\)

Dividing both sides by -5

\(y=-8\)

The missing value of the coordinate (-5,y) is -8.

Thus, the complete solution to the equation is \((-5,-8).\)

Answer:

I hope you were right about it being C. because I am on a test

:Thx

The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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False. The Six Sigma DMAIC approach is a problem-solving methodology used to improve processes and reduce defects, but it is not the only tool available.

Sigma is a statistical measure of dispersion, which is used to measure the variability or spread of a given data set. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Sigma is commonly used in data analysis and is used to identify outliers and other patterns in data sets.

Depending on the nature of the problem, other problem-solving techniques may be more appropriate. For example, if the goal is to improve customer service, a method such as Lean Six Sigma, which focuses on customer value, may be more effective. Similarly, if the goal is to create new products or services, a design thinking approach could be used. In any case, it is important to assess the situation and choose the best course of action for the specific problem.

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Using Binary addition with 2's complement, the following answers are found for the given expressions:
a) 47 - 83 = 11011101 (2's complement) = -60
b) -16 - 131 =  10010011 (2's complement) = -146

a. To solve 47 - 83 using binary addition with 2's complement, we first convert the numbers to their binary representation:

47 = 00101111

83 = 01010011

Now, let's perform the subtraction using binary addition with 2's complement:

00101111 (47)

01010011 (83, 2's complement)

11011100 (2's complement of 83)
11011101 (2's complement result)

The result in binary is 11011101. To convert it back to decimal, we take the 2's complement and add 1:

= 11011101 (2's complement)

= -1

= 11011100

The decimal equivalent of the binary result is -60. Therefore, 47 - 83 = -60.

b)  To solve -16 - 131 using binary addition with 2's complement, we need to convert the numbers to their binary representation:

-16 = 11110000

-131 = 10000011

Since we are subtracting, we need to find the 2's complement of the second number (131).

2's complement of 131:

Step 1: Invert the bits: 10000011 -> 01111100

Step 2: Add 1 to the inverted bits: 01111100 + 1 = 01111101

Now, let's perform the subtraction using binary addition:

11110000 (-16)

01111101 (2's complement of 131)

1 01101101 (Overflow bit)

The result in binary is 101101101, but since we are using 8-bit representation, we consider the result modulo 2^8. Therefore, the final result is 01101101, which is equal to 109 in decimal.

However, since we were subtracting, the result should be negative. To obtain the negative value, we consider the overflow bit (leftmost bit) and perform the 2's complement on the result.

2's complement of 01101101:

Step 1: Invert the bits: 01101101 -> 10010010

Step 2: Add 1 to the inverted bits: 10010010 + 1 = 10010011

Therefore, -16 - 131 = -146.


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The answer of the given question is y = 7x – 48. This is the result of the equation of the line through (6,−6) (6,−6) left parenthesis, 6, comma, minus, 6, right parenthesis and (8,8) (8,8) left parenthesis, 8, comma, 8, right parenthesis. This result is generated by using point-slope formula.

What is slope formula?

Slope formula is required to calculate the inclination of a line. For calculating the slope of a line, x and y coordinates of the points on the line are required. Ratio of change in y coordinates and change in x coordinates is called the slope of a line.

Slope (m) = change in y / change in x = Δy / Δx

Thus, in this case, the calculation as follows:

m = Δy / Δx

= 8 – (–6) / 8 – 6

= 14 / 2

= 7

Now, use the point-slope formula:

y – y1 = m (x – x1)

y – 8 = 7 (x – 8)

y = 7x – 56 + 8

y = 7x – 48

Hence, the result is y = 7x – 48.

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Answer:

y = 13/4x-21

Step-by-step explanation:

Khan Academy

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The leaf representation is given as

              14 l

              15 l 1447

              16 l 56

              17 l 8

              18 l 366

The 10th means that after the decimal, So the foundation must be the 15.1. This will be the 15.4, 15.7, 16.5 16.6 17.8 18.3 18.6 and 18.6.

In order to help visualize the shape of a distribution, a stem-and-leaf display or stem-and-leaf plot is a tool for presenting quantitative data in a graphical manner, comparable to a histogram.

The adoption of monospaced (typewriter) typestyles during that period contributed to their appeal since they made it simple for then-current computer technology to create the images. The improved graphic capabilities of modern computers have reduced the employment of these techniques.

While a stemplot is another name for a stem-and-leaf plot, it frequently refers to a different kind of chart. The term "simple stem plot" may refer to the mapping of a matrix of y values to a common x axis, along with the identification of the common x value by a vertical line and the individual y values by symbols on the line.

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Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

The range, mean, and median of the given data set are equal to 38, 20, and 5 respectively.

Data set = {2, 7, 15, 3, 29, 40, 6, 28, 3}

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 40 - 2

Range = 38.

Data set = {12, 34, 31, 8, 15, 20}

F(x) = 12 + 34 + 31 + 8 + 15 + 20 = 120

Mathematically, the mean of a data set can be calculated by using this formula:

Mean = F(x)/n

Mean = 120/6

Mean = 20.

Data set = {2, 4, 5, 7, 10}

Median = 5.

The total number of shots = 18 × 3 = 54 shots.

P(11) = 100 - P(T)

P(11) = 100 - 54

P(11) = 56%.

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The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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the measure of the fourth interior angle of the quadrilateral is 68° (Option A)

To find the measure of the fourth interior angle of a quadrilateral, we need to use the fact that the sum of all interior angles of a quadrilateral equals 360°. Given that three interior angles measure 55°, 117°, and 120°, we can find the measure of the fourth angle by subtracting the sum of these three angles from 360°.
First, calculate the sum of the three given angles: 55° + 117° + 120° = 292°.
Next, subtract this sum from 360° to find the fourth angle: 360° - 292° = 68°

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The percentage increase in x is –41%, which means that there is a decrease in the value of x.

Given equation is

2 = 1/((1–x) + x/10)

Let us solve for x by taking LCM on the right-hand side,

2 = 10/(10(1–x) + x) => 20(1 – x) + 2x

   = 10 => 20 – 18x

   = 10 => 18x

   = 10 => x

  = 10/18 = 5/9

Therefore, x = 0.56 or 56%

Now, we need to find the maximum speedup.

The formula for maximum speedup is:

Maximum speedup = 1/(1/10)

                                 = 10

Now, we have to solve for x again.

5 = 1/((1 – x) + x/10) => 5(1 – x) + x/2

   = 1 => 5 – 5x + x/2

   = 1 => 9/2 x

   = 3/2 => x

   = (3/2) / (9/2)

   = 1/3

Therefore, x = 0.33 or 33%

Let us now calculate the percentage increase in the value of x.

The initial value of x was 0.56 or 56%.

The new value of x is 0.33 or 33%.

Percentage increase in x = (New value of x – Initial value of x)/Initial value of x × 100%= (0.33 – 0.56)/0.56 × 100%

                                          = –0.23/0.56 × 100%

                                          ≈ –0.41 × 100% ≈ –41%

Therefore, the percentage increase in x is –41%, which means that there is a decrease in the value of x.

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Answer:

Step-by-step explanation:

It means she made a rectangle. 2cm wide, 5cm high.

Answer: the night temperature was 3 degrees below the afternoon temperature

Step-by-step explanation:

Answer:

15 cm

Step-by-step explanation:

When the rectangular sheet rolled along its length, the breadth becomes the height of the cylinder, and the length becomes the circle, so the height is 15 cm

The square root of 0.268 is approximately 0.517.

To solve the expression √0.268, let's break it down step by step:

Recognize that √0.268 represents the square root of the number 0.268.

Start by approximating the value of the square root using a calculator or a numerical method.

The square root of 0.268 is approximately 0.517.

Verify the solution by squaring the approximate value obtained in Step 2. \((0.517)^2\) is equal to approximately 0.267989, which is very close to 0.268.

Round the approximate value obtained in Step 2 to the desired level of precision.

In this case, let's keep three decimal places.

Thus, the square root of 0.268 is approximately 0.517.

Therefore, √0.268 is approximately equal to 0.517, with an error margin due to rounding.

It is important to note that the exact value of √0.268 is an irrational number and cannot be expressed precisely as a finite decimal.

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Okay so the equation is 35x= 58 +12

Given:

The function is,

a) The graph of the given function us,

Answer: option B)

b) f(1) and f(5) is,

Answer:

c) the domain of the function is,

Answer:

A Positive Sum

Step-by-step explanation:

Positive addends will always have a positive sum.  There will not be adequate value for the sum to be negative.

Examples:

43 + 5 = 48

100, 424 + 532 = 100,956

Hope this helps.

It is improper to speak about the probability that the population mean is in a given confidence interval because a confidence interval is a statement about the precision of an estimate.

A confidence interval is constructed based on a sample from the population and is meant to provide an estimate of the range within which the true population parameter, such as the mean, is likely to fall. The confidence level associated with the interval represents the long-term success rate of the method used to construct the interval.

However, once the interval is constructed, it either contains the true population mean or it does not. The population mean is not a random variable that has a probability of being within a particular interval. Rather, it is a fixed but unknown value. Therefore, it is incorrect to assign a probability to the population mean being in a given confidence interval.

Instead, the correct interpretation of a confidence interval is that if the same sampling procedure were repeated many times, a certain percentage (represented by the confidence level) of the resulting intervals would contain the true population mean.

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Answer: 15,552 inches cubed

Hope this helps!

50,400 different anagrams can be made from the letters in the word statistics.

Given word : STATISTICS

Anagrams are words formed by jumbling the positions of the letters given in the word.

For such problems we do factorial of number of words and divide by the repeated letters factorials.

Total number of letters = 10

They can be permutated among themselves in 10! ways.

Some letters are repeated in word STATISTICS

Since, there are 3 S's and 3 T's and 2 I's

So, Number of anagrams = \(\frac{10!}{3!.3!.2!}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}\)

= 10 × 9 × 8 × 7 × 2 × 5

= 50,400

50,400 different anagrams can be made from the letters in the word statistics.

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Answer:

Step-by-step explanation:

The general term for the recurrence relation \(\(T(n) = 3T(n/2) + O(n)\)\) is \(\[T(n) = \Theta(n^{\log_2(3)})\]\). The value of k to be plugged in depends on additional information or constraints provided in the problem.

To analyze the recurrence relation T(n) = 3T(n/2) + O(n), we can use the Master Theorem, which provides a way to determine the time complexity of divide-and-conquer algorithms with a specific pattern.

The Master Theorem states that if we have a recurrence relation of the form T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1, and f(n) is an asymptotically positive function, then:

1. If f(n) = \(O(n^c)\) for some constant c < log_b(a), then \(\(T(n) = \Theta(n^{\log_b(a)})\)\).

2. If f(n) = Θ\((n^c log^k(n))\) for some constant c = log_b(a), and k ≥ 0, then T(n) = Θ\((n^c log^{(k+1)}(n)).\)

3. If f(n) = Ω\((n^c)\) for some constant c > log_b(a), and if a * f(n/b) ≤ k * f(n) for some constant k < 1 and sufficiently large n, then T(n) = Θ(f(n)).

In our case, the recurrence relation is T(n) = 3T(n/2) + O(n), where a = 3, b = 2, and f(n) = O(n).

Comparing \(log_b(a) = log_2(3)\)≈ 1.58496 with c = 1, we can see that \(c < log_b(a)\). Thus, we can apply case 1 of the Master Theorem.

According to case 1,  \(\(T(n) = \Theta(n^{\log_b(a)})\)\), which simplifies to \(\[T(n) = \Theta(n^{\log_2(3)})\]\).

Therefore, the general term for the time complexity of this recurrence relation is \(\[T(n) = \Theta(n^{\log_2(3)})\]\).

To obtain the specific value of k to plug in, we need additional information or constraints on the problem. Without further context, it is not possible to determine a specific value of k to substitute into the expression for the time complexity.

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Answer: n= -1

Step-by-step explanation:

6n+8=1-n

6n+n=1-8

7n=-7

n=-1

Hence, two possible solutions to the equation W = 250 + 132.5T are (W = 515, T = 2) and (W = 912.5, T = 5).

To find two possible solutions to the equation W = 250 + 132.5T, we can substitute different values for T and calculate the corresponding value of W.

Let's try two values for T:

Solution 1:

Let T = 2 (2 T-shirts in the box)

W = 250 + 132.5 * 2

W = 250 + 265

W = 515

So, one possible solution is W = 515 when T = 2.

Solution 2:

Let T = 5 (5 T-shirts in the box)

W = 250 + 132.5 * 5

W = 250 + 662.5

W = 912.5

Therefore, another possible solution is W = 912.5 when T = 5.

Hence, two possible solutions to the equation W = 250 + 132.5T are (W = 515, T = 2) and (W = 912.5, T = 5).

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