"
Solve the system of linear equations given above with row
operations and determine its rank.
3x1​+3x2​+2x3​=25 3x1​+2x2​+3x3​=22 2x1​+x2​+4x3​=18

Answer:

x = -27

Step-by-step explanation:

-x/3 = 9

Multiply each side by -3

x/-3 * -3 = 9*-3

x = -27

See attachment for math work and answer.

Answer:

\(9\sqrt{2}\) m.

Step-by-step explanation:

Side of the square is a

Perimeter is 4 * a = 36

a = 36 / 4

a=9

Diagonal is a\(\sqrt{2}\)

\(9\sqrt{2}\)

just a quick addition to the reply above.

Check the picture below.

Answer:

4 × (3 + 7) = (4 ×7) + (4 × 3)

Step-by-step explanation:

If you go by the order of PEMDAS you would do the parentheses first. 3 + 7 =10. 10 × 4 = 40. Then you would just use the distributive property and do (4× 7) + (4 × 3)

4 × 7 = 28 and 4 × 3 = 12 28 +12 =40

The 15th Amendment to the U.S. Constitution, ratified in 1870, prohibited states from denying a male citizen the right to vote based on race, color, or previous condition of servitude.

However, in many states, particularly in the South, African Americans were still denied the right to vote through various discriminatory measures such as literacy tests, poll taxes, and violence.

Taking cases to the Supreme Court was one approach to challenge these discriminatory practices, as seen in landmark cases like Smith v. Allwright (1944) and Terry v. Adams (1953), which struck down the white primary system that prevented African Americans from voting in the Democratic Party primaries in the South.

The Civil Rights Act of 1957, on the other hand, was a federal law that aimed to enforce the 15th Amendment and address the issue of voting rights directly. It established the Civil Rights Commission to investigate voting rights violations and authorized the Attorney General to file lawsuits on behalf of individuals whose voting rights had been violated. The Act also provided for federal observers to be present at polling places in areas with a history of voting discrimination.

While taking cases to the Supreme Court was an important tactic in the fight for voting rights, the Civil Rights Act of 1957 provided a more direct and proactive approach to enforcing the 15th Amendment and protecting the voting rights of African Americans.

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Answer:

You would eliminate Y

Step-by-step explanation:

The statistics you could find given the information above (see attachment) include the following:

A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

In Mathematics, the five-number summary of any box and whisker plot include the following:

For the range, we have:

Range for women = 150 - 0 = $150

Range for men = 35 - 0 = $35

For the standard deviation, we have:

Standard deviation for women = range/4

Standard deviation for women = 150/4 = 37.5

Standard deviation for men = range/4

Standard deviation for men = 35/4 = 8.75.

For the interquartile range, we have:

Interquartile range = third quartile - first quartile.

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Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

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The high - level design steps include :

High-level design steps refer to the early stages of the design process where the system is defined in general terms.

Defining system requirements and constraints involves collecting information about the system's desired features and capabilities. This information may come from various stakeholders, including customers, users, and subject matter experts.

Another important step involves identifying and addressing potential security risks and designing appropriate security measures.

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Options for this question include :

The value of the principal is \($10,000\).

The equation:

A = P(1 + 0.043t)

A represents the amount of money earned on a savings account with 4.3% annual simple interest, P represents the principal (initial amount of money), and t represents the time in years.

We are also given that the account balance is \($15160\) after 12 years.

To substitute these values into the equation and solve for the principal:

A = \($15160\)

t = 12

0.043 = 4.3%

\($15160\) = P(1 + 0.043(12))

\($15160\) = P(1 + 0.516)

\($15160\) = P(1.516)

P = \($10000\)

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The modular division or remainder operator or modulus operator is not used for finding the mode.

Modular division, also known as the remainder operator or modulus operator, is a mathematical operation that calculates the remainder when one number is divided by another. It is commonly used in various applications, but it is not directly related to finding the mode.

A. Finding remainder: Modular division is used to find the remainder when dividing one number by another. For example, in the expression 17 % 5, the remainder is 2.

B. Patterns in programs: Modular division is often used to identify patterns in programs. It can be used to determine if a number is even or odd, or to cyclically repeat a sequence of values. It is useful for tasks such as generating repetitive patterns or implementing modular arithmetic.

C. Finding mode: The mode is the value that appears most frequently in a set of data. Finding the mode involves determining the frequency of each value, which is different from the concept of modular division. The mode can be found by counting occurrences or using statistical methods, but it does not involve modular division.

Therefore, finding the mode is not a problem that modular division is typically used for.

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Answer:

498,173.26

Step-by-step explanation:

The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

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Answer:

63 degree

Step-by-step explanation:

The total corner of the TV is 90 degrees, so 90-27=63 degrees

Answer:

ty

Step-by-step explanation:

Answer:

y = 5x -3

Step-by-step explanation:

slope = 5

y int = -3

Answer:

Step-by-step explanation:

The range is:

It means the lowest point is 4 and all the other points are greater than 4

Point 4 is the y-coordinate of the vertex and the graph opens up.

The probability of a high school baseball player getting at least 6 hits in one game, given a 0.253 batting average, when he gets 8 at-bats, is 0.0197 or approximately 2%.


Given, the high school baseball player's batting average is 0.253, which means in 100 times he hits the ball, he will make 25.3 hits on average. We need to find the probability of getting at least 6 hits in a game when he gets 8 at-bats.

We will calculate the probability using the Binomial Probability formula. Here, the number of trials is 8, and the probability of success is 0.253. We need to find the probability of getting at least 6 hits.

P(X≥6) = 1 - P(X<6)

P(X<6) = ∑P(X=i), i=0 to 5

We can use the Binomial Probability Table to find these probabilities or use the Binomial Probability formula.

P(X<6) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

= C(8,0) (0.253)^0 (1 - 0.253)^8 + C(8,1) (0.253)^1 (1 - 0.253)^7 + C(8,2) (0.253)^2 (1 - 0.253)^6 + C(8,3) (0.253)^3 (1 - 0.253)^5 + C(8,4) (0.253)^4 (1 - 0.253)^4 + C(8,5) (0.253)^5 (1 - 0.253)^3

≈ 0.9799

Therefore, P(X≥6) = 1 - 0.9799

= 0.0201 or approximately 2%.

Hence, approximately 0.0197 or 1.97% is the probability of a high school baseball player, who has a batting average of 0.253, obtaining at least 6 hits when given 8 at-bats during a single game.

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Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

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The measure of the radius of the sphere is given as follows:

r = 359 cm.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h

Which is the base area given by πr² multiplied by the height h.

In the context of this problem, the parameters are given as follows:

The volume of the circumscribed cylinder is 2154.04π cm^3, hence the equation to solve for r is given as follows:

πr²h = 2154.04π

2πr³ = 2154.04π

2r³ = 2154.04

r = cube root of (2154.04/2)

r = 359.

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Answer:

(3,3)

Step-by-step explanation:

Hope this helps

Answer:

(3,3)

Step-by-step explanation:

Answer:

x=$7

Step-by-step explanation:

The total cost of bill is $32, $11 is from a plate of corn tacos. And there are 3 purchased burrito bowls at a cost of $x each.

$32 (total bill)

-$11 (tacos)

=$21

$21 / 3 (burrito bowls)

=$7

x or the cost of each burrito bowl is $7

Answer:

0.00005

Step-by-step explanation:

0.00005137

1 cannot make 5 turn to 6

You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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The probability of drawing the first yellow ball on the eighth draw is 1/2772.

The probability of drawing a yellow ball on the eighth draw is the probability of drawing 7 non-yellow balls followed by a yellow ball.

The probability of drawing a non-yellow ball on the first draw is 7/12 since there are 7 non-yellow balls out of a total of 12 balls in the bag. After the first non-yellow ball is drawn, there will be 6 non-yellow balls left out of a total of 11 balls. So the probability of drawing a non-yellow ball on the second draw is 6/11. Continuing in this manner, the probability of drawing 7 non-yellow balls in a row is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6)

Now, there are 5 yellow balls left out of a total of 5 + 7 + 3 = 15 balls. So the probability of drawing a yellow ball on the eighth draw is 5/15.

Therefore, the probability of drawing the first yellow ball on the eighth draw is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (5/15)

Simplifying this expression, we get

(7 × 6 × 5 × 4 × 3 × 2 × 1 × 5) / (12 × 11 × 10 × 9 × 8 × 7 × 6 × 15)

which simplifies to:

1/2772

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The given question is incomplete, the complete question is:

A bag contains 3 red balls, 4 green balls, and 5 yellow balls. If balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw?

Answer:

S(p(x)) = 140,000(0.9732)^x

Step-by-step explanation:

Given the population functions:

ENVIRONMENTALIST: decline by 3.5% annually

p(x) = 140,000(0.965)^x

CONSERVATIONISTS: Increase by 0.85% annually ;

S(p) = p(1.0085)^x

Formulate S(p(x)) rounded to the nearest ten thousand

p(x) = 140,000(0.965)^x

S(p) = p(1.0085)^x

S(p(x)) = p(1.0085)^x

Where p(x) = 140,000(0.965)^x

S(p(x)) = 140,000(0.965)^x(1.0085)^x

S(p(x)) = 140,000(0.9732025)^x

S(p(x)) = 140,000(0.9732)^x

Answer:

C

Step-by-step explanation:

Edge

1. False 2. False 3. False 4. True 5. False 6. False - Based on the given regression equation

1. False - A bar chart is used to illustrate the relationship between a quantitative variable and a categorical variable, not between two quantitative variables. For comparing two quantitative variables, a scatter plot is commonly used.

2. False - The purpose of the chi-square test of independence is to determine whether there is a significant association between two categorical variables, not to compare observed and expected frequency distributions. It assesses whether the observed frequencies are significantly different from what would be expected if the variables were independent.

3. False - The statement does not provide the 2-WAY ANOVA table, so we cannot determine the mean square of Diet x Exercise interaction from the given information.

4. True - The F-statistic is used to test the significance of the main effect of Diet in a two-way ANOVA. The statement indicates that the F-statistic for Diet is equal to 16.029.

5. False - The values of correlation and regression slope will not remain the same if the data is collected in different scales (percent vs. decimals). Scaling or transforming the data can affect the values of correlation and regression coefficients.

6. False - Based on the given regression equation, if a student has a height of 74 inches (X), their predicted foot length (Y') would be y' = 10.9 + 0.23(74) = 27.82 cm, not 27.92 cm. The residual error would be the actual foot length (29 cm) minus the predicted foot length (27.82 cm), which is 29 - 27.82 = 1.18 cm, not 1.08 cm.

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In a simple regression model with a dummy variable predictor x, the coefficient b1 represents a) the differential effect on the outcome of having the dummy variable equal to 1, rather than 0.

Option b, the improvement in R-squared that we get from including x in the model, is not an accurate interpretation of b1. R-squared represents the proportion of variance in the outcome variable that is explained by the model, but it does not directly relate to the coefficient of a specific predictor.

Options c and d refer to the predicted values of the outcome variable when the dummy variable is either 1 or 0, but these values are not equivalent to b1. The predicted value of the outcome variable depends on the intercept term b0 and any other predictor variables in the model, as well as the coefficient b1.

In a simple regression model with a dummy variable predictor x, the coefficient b1 represents Option a, the differential effect on the outcome of having the dummy variable equal to 1, rather than 0. This means that b1 quantifies the change in the outcome variable when the dummy variable changes from 0 to 1, holding all other variables constant. This interpretation assumes that the dummy variable is coded in a meaningful way, such that 0 and 1 represent two distinct and relevant categories.

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Answer: The figures are inconsistent and do not lead to an answer.

Step-by-step explanation:

Let's assume the price of a taco is "t" dollars and the price of an enchilada is "e" dollars.

According to the given information:

Regular diner: 2 tacos + 3 enchiladas = $13

Special: 4 tacos + 5 enchiladas = $23

We can set up a system of equations based on the given information:

2t + 3e = 13 (Equation 1)

4t + 5e = 23 (Equation 2)

To solve this system, we can use the method of substitution or elimination.

However, there are inconsistencies in the question, so it doesn’t give us an answer.

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