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Working out brackets

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer: D

Step-by-step explanation:

I know that B has no solution

I know that C is a decimal -0.875

D is true for all

and A is also a decimal 1.25

Vertical asymptote are vertical lines which corresponds to the zeros of the denominator of our rational function. Then, the zeros of T(w) ocurr when

which gives

Therefore, the vertical asymptote is w = 530.

The asymptote is a line that the graph function approaches but never touches. In our case, this means that the speed of the wind is very close to 530 mph but never touches this value.

This results in the following solution for the system of equations:

x = 2 y = 3 z = 3

To find the inverse of the matrix A and use it to solve the system of equations, you can use the Gauss-Jordan elimination method.

This method involves multiplying a matrix by its inverse to reduce it to its identity matrix. For your system of equations, the matrix A is:

\(A = \begin{bmatrix} 2 & 2 & 3 \ 2 & 2 & -1 \ 3 & -1 & 0 \end{bmatrix}\)

Using the Gauss-Jordan elimination method, the inverse of A can be found by reducing the matrix to its identity matrix. This can be done by performing the following operations on the matrix:

This will result in the identity matrix on the left side, and the inverse of A on the right side. The inverse of A is:

\(A^-1 = \begin{bmatrix} 1 & 0 & 0 \ 2 & 1 & 0 \ -3 & -2 & 1 \end{bmatrix}\)

You can then use this inverse to solve the system of equations by multiplying both sides of the equation by \(A^-1\). This results in the following solution for the system of equations:

x = 2 y = 3 z = 3

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there are 120 different ways a sequence of 10 coin flips can consist of exactly 3 heads and the rest tails.

To solve this problem, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by the formula n choose k, which is written as C(n,k) or sometimes as nCk.

In this case, we want to choose 3 heads from a set of 10 coin flips. The number of ways to do this is C(10,3) = 120.

Once we have chosen the 3 heads, the remaining 7 flips must all be tails. There is only one way to arrange 7 tails, since they are all the same.

Therefore, the total number of sequences that consist of exactly 3 heads and the rest tails is 120.

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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The probability that the first MP3 song heard is the fifth song played is:

\(\frac{C^9^0_4.C^1^0_1}{C^1^0^0_5}\) =  \(\frac{2,555,190. 10}{75,287,520}\) ≈ 0.3394

The probability that there are exactly two MP3 songs in the first five songs played is:

\(\frac{C^1^0_2.C^9^0_3}{C^1^0^0_5}\) \(= \frac{45.117,480}{75,287,520}\) ≈ 0.0702

Now, According to the question:

The 1st MP3 player songs heard is the 5th song played means that first 4 songs are not MP3 songs (there are 100 - 10 = 90 such songs) and the 5th song is MP3 song (there are 10 such songs). Hence, the probability that the first MP3 song heard is the fifth song played is:

\(\frac{C^9^0_4.C^1^0_1}{C^1^0^0_5}\) =  \(\frac{2,555,190. 10}{75,287,520}\) ≈ 0.3394

There are exactly two MP3 songs in the first five songs played means there are 2 MP3 songs and 3 not MP3 songs (the number when these songs are played do not matter). Hence, the probability that there are exactly two MP3 songs in the first five songs played is:

\(\frac{C^1^0_2.C^9^0_3}{C^1^0^0_5}\) \(= \frac{45.117,480}{75,287,520}\) ≈ 0.0702

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The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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Answer:

The equation for the line is y = 2/5x + 24/5

Step-by-step explanation:

If you need the exact points, go to m4thway and plug that equation in.

Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

                        = 12 years.

Hence, Dan is 12 years old.

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Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

Triangles in Geometry

Step-by-step explanation:

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

We are given a power set:

A = {1, 2, 3, 4, 5, 6}

We are also given another power set:

B = {2, 3, 4, 5}

We need to tell if B is a subset of A or not.

We can see that every element of B is a part of A as well.

So, we can say that B is a subset of A.

B ⊂ A

{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}

Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

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Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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Answer:

The answer is option B.

Step-by-step explanation:

Using the expression

\( {e}^{ ln(x) } = x\)

\( {e}^{ ln(4) } = 4\)

Hope this helps you

Answer:

\(\displaystyle 4^{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

\(\displaystyle \frac{4^{-4}}{4^{-8}}\)

Step 2: Rewrite

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

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Answer:

5.7 is greater

Step-by-step explanation:

hope this helps

Answer: 5.7

Step-by-step explanation:

Answer: You would have 2/10 chance of choosing the sugar cookie then after you chosen it 5/9 chance of picking up a peanut butter cookie. I hope this helps

Step-by-step explanation:

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer:

8+12x^4/x^2

Step-by-step explanation:

i know im right!

Answer:

16/x + 6

Step-by-step explanation:

Edge 2021

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~