Show the steps of solving. a) 6x - 2y = 28
4x + 2y = 12

PLEASE HELPPPPP I’ll give brainlist!!!

Answer:

r=0

Step-by-step explanation:

2(2r+8) = 3r + 16

2×2r + 2×8 = 3r + 16

4r + 16 = 3r + 16

4r + 16 - 3r = 3r + 16 - 3r

r + 16 = 16

r + 16 - 16 = 16 - 16

r = 0

Hope this Helps!!!

Answer:

ΔB

Step-by-step explanation:

ΔA's angles are: 58º, 54º, and 68º

68º is found by 180 - (58 + 54)

ΔB's angles are: 54º, 68º, and 58º

58º is found by 180 - (68 + 54)

ΔA and ΔB have the same angles, therefore they are similar triangles

Answer:

triangle b

Step-by-step explanation:

i measured

True. There is a statistically significant difference from the population proportion.

For the hypothesis test, the null hypothesis is that the population proportion of 25-year-olds who are married is p = 0.50. The alternative hypothesis is that the population proportion of 25-year-olds who are married is not equal to 0.50, i.e. p ≠ 0.50. The test statistic is a two-tailed test with a z-test since the population standard deviation is unknown.

Given the data, the sample proportion is 0.24. The standard error is calculated as follows:

Standard Error = \($\sqrt{\frac{p(1-p)}{n}}$\)

= \($\sqrt{\frac{0.50(1-0.50)}{776}}$\)

= 0.024

The z-statistic is then calculated as follows:

z = \($\frac{0.24 - 0.50}{0.024}$\)

= -10.42

With the z-statistic, we can then calculate the p-value, which is the probability of observing a result at least as extreme as the one we got given that the null hypothesis is true. The p-value is calculated as follows:

p-value = \($2 \times \Phi(-10.42)$\)

= 0.01

Since this p-value is less than the significance level (0.01), we can reject the null hypothesis and conclude that there is a statistically significant difference from the population proportion.

True. There is a statistically significant difference from the population proportion.

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To determine the percentage of data within the interval 64-66.5 in a normally distributed set with a mean of 64 and a standard deviation of 2.5, we can utilize the properties of the standard normal distribution.

The interval 64-66.5 represents a range of 1.5 standard deviations above the mean, as 66.5 - 64 = 2.5 × 0.6 = 1.5. In a standard normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Since the interval 64-66.5 represents a subset of one standard deviation, we can expect the percentage of data within this interval to be less than 68%.

To obtain a more accurate estimate, we can refer to the Z-score table or use statistical software to calculate the exact percentage. By finding the Z-scores corresponding to the lower and upper bounds of the interval (64 and 66.5, respectively) and referencing the table or using software, we can determine the area under the standard normal curve within that range, which represents the percentage of data.

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Answer:

A=45°

B= 110°

C=25°

Step-by-step explanation:

X + (X+65) +25= 180

2X + 90=180

X=45°

Answer:

∠A = 45°

∠B = 110°

∠C  = 25°

Step-by-step explanation:

We know that

 the sum of the interior angles in a triangle is 180°.

Accordingly,

x + 65 + x + 25 = 180

Combine like terms.

2x + 90 = 180

Subtract 90 from both sides.

2x = 180 - 90

2x = 90

Divide both sides by 2.

x = 45°

Now let us find the exact value of the angles.

∠ A = x = 45°

∠ B = x + 65 = 45 + 65 = 110°

∠C  = 25°

2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

The maximum area for the rectangular enclosure, using the given 80 meters of fencing material, is 1600 square meters.

To find the maximum area for the rectangular enclosure using the given 80 meters of fencing material, we need to determine the dimensions that would maximize the area.

Let's assume the length of the enclosure is L and the width is W.

Since the house acts as one side of the rectangle, the total length of the fence required is L + 2W (one side of the house and two sides perpendicular to it).

According to the problem, we have 80 meters of fencing material available, so we can write the equation:

L + 2W = 80

To find the maximum area, we need to express the area (A) in terms of a single variable.

Since A = LW, we can rewrite it as:

A = L(80 - L)

Expanding the equation:

\(A = 80L - L^2\)

To find the maximum area, we take the derivative of A with respect to L and set it equal to zero:

dA/dL = 80 - 2L = 0

Solving for L:

2L = 80

L = 40

Substituting the value of L back into the equation for A:

A = 40(80 - 40)

A = 40 \(\times\) 40

A = 1600

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Answer:

You need to figure out how many minutes per kilometer.

Lynda ran 22 divided by 5 = 4.4 minutes per kilometer

Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer

Therefor, Janet ran the faster race.

Step-by-step explanation:

The we can conclude that there is not enough evidence to suggest that the selection process discriminates against Mexican-Americans.

Answer:The probabilities of the given problem are as follows:Probability of 0 Mexican Americans among 12 jurors = 0.0002Probability of 1 Mexican American among 12 jurors = 0.0014Probability of 2 Mexican Americans among 12 jurors = 0.0073Probability of 3 Mexican Americans among 12 jurors = 0.0285Probability of 4 Mexican Americans among 12 jurors = 0.0818Probability of 5 Mexican Americans among 12 jurors = 0.1712Probability of 6 Mexican Americans among 12 jurors = 0.2547Probability of 7 Mexican Americans among 12 jurors = 0.2558Probability of 8 Mexican Americans among 12 jurors = 0.1557Probability of 9 Mexican Americans among 12 jurors = 0.0434Probability of 10 Mexican Americans among 12 jurors = 0.0093Probability of 11 Mexican Americans among 12 jurors = 0.0011Probability of 12 Mexican Americans among 12 jurors = 0.0001The probability of exactly 6 Mexican-Americans among 12 jurors can be calculated by using the probability mass function(PMF).It is P(X = 6) = 0.2547We have to round our answer to four decimal places. Therefore, the required probability of 6 Mexican-Americans among 12 jurors is 0.2547.

The probability of 6 or fewer Mexican-Americans among 12 jurors can be calculated as follows:P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)P(X ≤ 6) = 0.0002 + 0.0014 + 0.0073 + 0.0285 + 0.0818 + 0.1712 + 0.2547P(X ≤ 6) = 0.0374We have to round our answer to four decimal places. Therefore, the required probability of 6 or fewer Mexican-Americans among 12 jurors is 0.0374.Solution:It is given that 12 jurors are randomly selected from a population in which 77% of the people are Mexican-Americans.We can use probability distribution table to find the required probabilities. The given probability distribution table is:To find whether the selection process discriminates against Mexican-Americans or not, we have to compare the expected frequency with the observed frequency. We can use the chi-square test for goodness of fit to compare the observed frequency with the expected frequency.The null hypothesis for the chi-square test of goodness of fit is that the observed frequency and the expected frequency are equal. The alternate hypothesis is that the observed frequency and the expected frequency are not equal.The expected frequency can be calculated as follows:Expected Frequency = Total Frequency × Probability of Mexican-AmericanSo, the expected frequency of Mexican-American jurors can be calculated as:Expected frequency of Mexican-Americans = 12 × 0.77 = 9.24

The expected frequency of non-Mexican-Americans can be calculated as:Expected frequency of Non-Mexican-Americans = 12 − 9.24 = 2.76Now, we can calculate the chi-square statistic as follows:Chi-Square = ∑((O − E)² / E)where, O = Observed frequencyE = Expected frequencyChi-Square = ((0 − 0.0002)² / 0.0002) + ((1 − 0.0014)² / 0.0014) + ((2 − 0.0073)² / 0.0073) + ((3 − 0.0285)² / 0.0285) + ((4 − 0.0818)² / 0.0818) + ((5 − 0.1712)² / 0.1712) + ((6 − 0.2547)² / 0.2547) + ((6 − 0.2558)² / 0.2558) + ((2.76 − 2.76)² / 2.76)Chi-Square = 5.23The degree of freedom can be calculated as follows:Degree of Freedom = Number of Categories − 1Degree of Freedom = 12 − 1 = 11At 95% confidence level and 11 degrees of freedom, the critical value of the chi-square statistic is 19.68.As the calculated chi-square statistic (5.23) is less than the critical value of the chi-square statistic (19.68), we fail to reject the null hypothesis. Therefore, we can conclude that there is not enough evidence to suggest that the selection process discriminates against Mexican-Americans.

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When the standard deviation considerably higher it spreads the data more clearly from the mean hence creating and exerting more variation. Therefore the required answer is Higher.

The standard deviation is known as the measure of how dispersed and well spread the data is concerning the mean. In case of low standard deviation it projects data that are clustered  stiffly around the mean, whereas high standard deviation indicates data being more spread out.

The derivation of standard deviation is

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Our final rational function becomes: g(x) =\([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)

To create a rational function g(x) that satisfies the given properties, we can start by considering the horizontal asymptote and the hole.

Given that the horizontal asymptote is y = 0, we know that the degree of the polynomial in the numerator is less than or equal to the degree of the polynomial in the denominator.

Considering the hole at (-4, -3/19), we can introduce a factor of (x + 4) in both the numerator and denominator to cancel out the common factor. This will create a hole at x = -4.

So far, we have:

g(x) = [(x + 4)(ax + b)] / [(x + 4)(cx + d)]

Next, let's consider the local minimum at (-3, -1/6) and the local maximum at (1, 1/2).

To ensure a local minimum at x = -3, we can make the factor (x + 3) squared in the denominator, so that it does not cancel out with the numerator. We can also choose a positive coefficient for the factor in the numerator to create a downward-facing parabola.

To ensure a local maximum at x = 1, we can make the factor (x - 1) squared in the denominator, and again choose a positive coefficient for the factor in the numerator.

Adding these factors, we have:

g(x) =\([(x + 4)(ax + b)(x + 3)^2] / [(x + 4)(cx + d)(x - 1)^2]\)

Finally, we consider the x-intercept at x = -1 and the y-intercept at y = 1/3.

To achieve an x-intercept at x = -1, we can set the factor (x + 1) in the numerator.

To achieve a y-intercept at y = 1/3, we set the numerator constant to 1/3.

Multiplying these factors, our final rational function becomes:

g(x) = \([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)

Where a, b, c, and d are coefficients that can be determined by solving a system of equations using the given properties.

Please note that without additional information or constraints, there are multiple possible rational functions that can satisfy these properties. The function provided above is one possible solution that meets the given conditions.

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Answer: solve for x

x ∈ R, h = 0 and g = 0

Step-by-step explanation:

Answer:

Domain ( -4,0, 5) Range ( -7, -3, 2, 6)

Step-by-step explanation:

The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}

is:

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Given,

{(4, -7), (0, 6), (5,-3), (5, 2)}

We need to find what is the domain and range of this relation.

A function has an input and an output.

Example: f(x) = x + 4

Now,

x = 1, 2, 3

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

Here,
Domain = 1, 2, 3

Range = f(1), f(2), f(3) = 5, 6, 7

We can also write it as { (1,5), (2,6), (3,7)}

Find the relation.

(4, -7)

Here,

domain = 4 and range = -7

(0, 6)

domain = 0 and range = 6

(5,-3)

domain = 5 and range = -3

(5, 2)

domain = 5 and range = 2

Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}

is:

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

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Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

Answer:

what are you asking, I need more information.

Answer:

C

Step-by-step explanation:

When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2). When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).

To graph the equations 2x - y - 2 = 0, 4x - 3y - 24 = 0, and y + 4 = 0, we need to plot the points that satisfy each equation and connect them to form the lines.

1. Equation: 2x - y - 2 = 0

To plot this equation, we can rewrite it in slope-intercept form:

y = 2x - 2

Now we can choose some x-values and calculate the corresponding y-values to plot the points:

When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2).

When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).

Plot these points on the graph and draw a line passing through them:

```

    |

    |

0   |     ● (1, 0)

    |

    |     ● (0, -2)

-2 __|_____________

    -2    0    2

```

2. Equation: 4x - 3y - 24 = 0

Again, let's rewrite this equation in slope-intercept form:

y = (4/3)x - 8

Using the same process, we can find points to plot:

When x = 0, y = (4/3)(0) - 8 = -8. So one point is (0, -8).

When x = 3, y = (4/3)(3) - 8 = 0. So another point is (3, 0).

Plot these points and draw the line:

```

    |

    |

0   |             ● (3, 0)

    |

    |                   ● (0, -8)

-8 __|______________________

    -2     0    2    4

```

3. Equation: y + 4 = 0

This equation represents a horizontal line parallel to the x-axis, passing through the point (0, -4).

Plot this point and draw the line:

```

    |

    |

-4   |       ● (0, -4)

    |

    |

    |______________________

    -2     0    2    4

``

So, the graph of the three equations would look like this:

```

    |

    |

0   |             ● (3, 0)                      ● (1, 0)

    |                   |                               |

    |                   |                               |

-4 __|___________________|_______________________________

    -2     0    2    4

```

Note that the lines representing the equations 2x - y - 2 = 0 and 4x - 3y - 24 = 0 intersect at the point (1, 0), which is the solution to the system of equations formed by these two lines. The line y + 4 = 0 represents a horizontal line parallel to the x-axis, located 4 units below the x-axis.

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k = 0 to 399 By calculating this summation, we will obtain the probability that Paul goes broke. To find the probability that Paul goes broke when Peter has a 2/3 probability of winning each game, we can use the concept of probability, game, and bet in our explanation.

First, we need to determine the probability of Paul winning a game, which can be found by subtracting Peter's winning probability from 1:

Probability of Paul winning = 1 - Probability of Peter winning = 1 - 2/3 = 1/3

Now, let's denote the number of games required for one of them to go broke as 'n'. Since they each start with $400, the total number of games would be n = 400 + 400 = 800.

We will use the binomial probability formula to calculate the probability of Paul going broke after 'n' games:

P(Paul goes broke) = (n! / (k!(n-k)!)) * (p^k) * (q^(n-k))

Here, n is the total number of games (800), k is the number of games Paul wins, p is the probability of Paul winning (1/3), and q is the probability of Peter winning (2/3).

To find the probability of Paul going broke, we need to calculate the probability of Paul winning fewer than 400 games out of 800:

P(Paul goes broke) = Σ [P(Paul wins 'k' games)] for k = 0 to 399

By calculating this summation, we will obtain the probability that Paul goes broke.

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Answer:  1979 students.

Step-by-step explanation:

We are told that 3/4  (75% or 0.75) of total students voted, which amounted to 1484 votes.

Letting X be the total number of students, we can write that as:

 (0.75)X = 1484

X = 1978.67 total students

Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student.  So round to the nearest whole number, 1979 students.

Answer:

b. line j or MT

Step-by-step explanation:

as the plane contains the points Q, N, P, R, T also the lines connecting only these points are in the plane, and are not intersecting the plane.

only M is outside of the plane, and so (only) the connecting line MT intersects the plane (at point T).

by the way, the question means the line RQ and not RO, as there is no point O in the graphic.

Step-by-step explanation:

your answer is 100 metres

Answer: 500 Cars, based on the information given

Step-by-step explanation:

The tangent of <S is 8/15

Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Given:

ST = 68

UT = 60

so, SU = √ST² - UT²

           = √68² - 60²

           = √4624  - 3600

           = √1024

           = 32

So, Tangent of <S = P/ B

tan S = SU / UT

tan S = 32 / 60

tan S = 8/15

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Answer:

Step-by-step explanation:

Let the original side is x.

1 foot = 12 inches

New sides of a rectangle are:

The area of rectangle is:

Solve for x:

Area of the original blanket:

Answer:

yes

Step-by-step explanation:

because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.

The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.

In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.

The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.

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Answer:

ac/b

Step-by-step explanation:

The measures of the angles are:

m<1 = 65°

m<2 = 55°

m<3 = 60°

m<4 = 65°

m<5 = 55°

m<6 = 120°

m<7 = 60°

m<8 = 120°

m<9 = 60°

m<10 = 115°

m<11 = 65°

m<12 = 115°

To find the measures of the numbered angles, determine the relationship that exist between the angles.

m<1 = 65° [corresponding angles]

m<3 = 60° [vertical angles]

m<2 = 180 - m<1 - m<3

m<2 = 180 - 65 - 60

m<2 = 55°

m<4 = m<1

m<4 = 65°

m<5 = m<2

m<5 = 55°

m<6 = 180 - 60

m<6 = 120°

m<7 = 60° [alternate interior angles]

m<8 = m<6 = 120° [vertical angles]

m<9 = m<7 = 60° [vertical angles]

m<10 = 180 - 65 = 115° [linear pair]

m<11 = 65° [vertical angles]

m<12 = m<10

m<12 = 115° [vertical angles]

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