-2x+y=-8
2x-y=8


Is there one solution, no solution or Infinitely Many Solutions

Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.

Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.

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Answer:

the answer is 1/2

Step-by-step explanation:

.79 2/3 1/2 .4

The percentage of women who will be able to find shoes that fit in this store is 87.73%.

The distribution of foot lengths of women is approximately Normal with a mean of 23.2 centimeters and a standard deviation of 1.1 centimeters. Let X be the foot length of a woman. Thus, X ~ N(23.2, 1.1). Women's shoe sizes 5 to 9 correspond to foot lengths ranging from 21.6 to 25 centimeters. That is, 5 ≤ X ≤ 9. We need to calculate the percentage of women whose foot lengths fall between 21.6 and 25 cm.

We'll use the standard normal distribution to accomplish this. To transform the random variable X into the standard normal random variable Z, we will use the following formula: z = (x - µ) / σwhere, X is a normal random variable with mean µ and standard deviation σ. Using the values given, we can find the corresponding z-scores:z1 = (21.6 - 23.2) / 1.1 = -1.4545z2 = (25 - 23.2) / 1.1 = 1.6364

Using the standard normal distribution table, we can find the probabilities corresponding to these z-scores: P(z < -1.4545) = 0.0726P(z > 1.6364) = 0.0501Now, the percentage of women who can find shoes that fit in this store will be: P(-1.4545 < z < 1.6364) = 1 - P(z < -1.4545) - P(z > 1.6364) = 1 - 0.0726 - 0.0501 = 0.8773 or 87.73%.Therefore, 87.73% of women will be able to find shoes that fit in this store.

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Z>-3

Z<5

Z< or = 4

These 3 above have the 3 numbers in the solution set!

You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!

Also Thanks for the 50 Points!

The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

If the inequality have -0.5, 2.5, and 4 as part of the solution set.

That means, the required value has to be less than or equal to 4.

So, the inequalities are z ≤ 4 and z < 5.

Therefore, the inequalities are z ≤ 4 and z < 5.

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After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer:

the answer is b 18 units b in jgu ufxutvitv

Using the diagram of the circle given above, the value of the parts of the circle is as follows:

1.) Minor arc = Arc AB

2.) Major arc = Arc ACB

3.) Semicircle = AC

4.) Two central angles = 40° and 320°

5.) Arc AB = < 180°

6.) Arc ACB = > 180°

The minor arc of a circle is defined as part of the circle that is less than 180° that connects two points on the circumference of a circle.

The major arc of a circle is defined as the part of the circle that is greater than 180° that connects two points on the circle of a circle.

A semi circle is defined as exactly half of a circle which has a total of 180°.

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(a) The power of the test for this two-sided alternative, with the given sample sizes, is approximately 0.921. (b) the sample size needed to detect this difference with a probability of at least 0.9 and α = 0.05 is approximately 559 for each machine.

What is power of the test?
The power of a statistical test is the probability of correctly rejecting a null hypothesis when it is false. It measures the test's ability to detect an effect or difference if it truly exists. A higher power indicates a greater likelihood of detecting the alternative hypothesis and avoiding a Type II error.

To calculate the power of the test, we need to compute the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, the alternative hypothesis would be that the proportion of defective parts is not equal between the two machines.

Using the formula for the power of a two-sample proportion test, the power can be calculated as follows:

Power = 1 - β = 1 - P(Type II Error)

where β is the probability of a Type II Error, which is the probability of failing to reject the null hypothesis when it is false.

Given the sample sizes and the probabilities of defects (p₁ = 0.05 and p₂ = 0.01), we can calculate the standard errors for the proportions and then use those to calculate the test statistic and the power.

Using the formula for the standard error of a proportion (SE = sqrt((p * (1 - p)) / n)), we find:

SE₁ = sqrt((0.05 * (1 - 0.05)) / 300) ≈ 0.009082

SE₂ = sqrt((0.01 * (1 - 0.01)) / 300) ≈ 0.005774

The test statistic for comparing two proportions is given by:

Z = (p₁ - p₂) / sqrt(SE₁² + SE₂²)

Calculating the test statistic, we have:

Z = (0.05 - 0.01) / sqrt(0.009082² + 0.005774²) ≈ 13.218

Next, we calculate the power using the standard normal distribution:

Power = P(Z > Z_critical) = 1 - P(Z ≤ Z_critical)

Z_critical is the critical value corresponding to the desired significance level (α = 0.05).

Using a statistical software or a standard normal distribution table, we find:

Z_critical ≈ 1.96

Hence, the power of the test for this two-sided alternative is approximately 0.921.

(b) To determine the sample size needed to detect this difference with a probability of at least 0.9 and α = 0.05, we need to calculate the required sample size for each machine.

The formula for sample size calculation in comparing two proportions is given by:

n = [(Z₁ - Z₂) / (p₁ - p₂)]² * (p * (1 - p) / (p₁ - p₂)²

where Z₁ is the Z-value corresponding to the desired power (0.9), Z₂ is the Z-value corresponding to the desired significance level (α = 0.05), p₁ and p₂ are the probabilities of defects, and p is the expected value of the common proportion (taken as the average of p₁ and p₂).

Using the given probabilities of defects (p₁ = 0.05 and p₂ = 0.01), we can calculate the required sample sizes.

Taking p = (p₁ + p₂) / 2 = (0.05 + 0.01) / 2 = 0.03, and plugging in the values into the formula, we have:

n = [(Z₁ - Z₂) / (p₁ - p₂)]² * (p * (1 - p) / (p₁ - p₂)²

= [(Z₁ - Z₂) / (0.05 - 0.01)]² * (0.03 * (1 - 0.03) / (0.05 - 0.01)²

Using Z₁ ≈ 1.282 (corresponding to a power of 0.9) and Z₂ ≈ 1.96 (corresponding to α = 0.05), we can calculate the required sample size:

n = [(1.282 - 1.96) / (0.05 - 0.01)]² * (0.03 * (1 - 0.03) / (0.05 - 0.01)²

≈ 558.96

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Answer:

solution:

relation between perpendicular and base is given by tan angle

so

\( \tan(ø) \)=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

An equation that shows the relationship between the two angle measure is 3x + 2 = 180 and the value of x is 59.

Let us consider the two supplementary angles with measures (x + 1) and (2x + 1). Since they are supplementary angles, we know that their sum is equal to 180 degrees. We can write this relationship between the two angle measures as an equation:

(x + 1) + (2x + 1) = 180

Simplifying this equation, we get:

3x + 2 = 180

Now, we can solve for x by isolating it on one side of the equation. To do this, we can subtract 2 from both sides of the equation:

3x = 178

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 59.33

Therefore, we should round the value of x to the nearest whole number, which is 59.

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Pi written as 3.l4 and π in mathematics is the ratio for the diameter of a circle to the circumference of that circle. The value is unending

Pi, which is represented by the Greek letter p, or, is a shorthand for the ratio of a circle's diameter to its circumference. No matter how big the circle is, this ratio will always be equal to pi. The value of pi is about 3.14 in decimal notation.

We are to multiply Pi to any equation

let the equation be (20.5 + 3x)\(\pi\)

pi is represented in numbers by 3.14

Hence we would have the equation to be of the form

(20.5 + 3x)3.14

multiply through the bracket

64.37 + 9.42x

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Answer:

ok so qre u asking or answering

131,4..........................................

Answer:

The answer is 6.5

Step-by-step explanation:

All you have to do is divide 13 by 2.

The way that  the graph of g differ from the graph of f is that: the graph of g is the graph of f shifted up by 3 units.

If we consider the graph of a function p with real numbers k and h. Then the transformation effects are:

p(x) + k shifts the graph up k units

p(x) - k shifts the graph down k units

p(x + h) shifts the graph to the left h units

p(x - h) shifts the graph to the right h units

We are told that we have f(x) = 3x and that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.

That is how both graphs of the functions differ.

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d. Dummy coding. Categorical variables need to be converted into numerical variables to be used in regression analysis. Dummy coding involves creating binary variables for each category of the categorical variable.

For example, if the categorical variable is "color" with categories "red," "green," and "blue," dummy coding would involve creating three binary variables: "red" (0 or 1), "green" (0 or 1), and "blue" (0 or 1). These binary variables can then be used in the regression analysis. In conclusion, to use categorical variables in regression analysis, dummy coding is necessary.


In order to use categorical variables in a regression analysis, they must be converted into numerical values. This process is called dummy coding (also known as one-hot encoding). Dummy coding involves creating new binary variables (0 or 1) for each category of the categorical variable. This allows the regression model to incorporate the categorical data while maintaining its numerical nature.

To use categorical variables in a regression analysis, you must apply dummy coding to convert them into numerical values.

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Answer:

x = 1

Step-by-step explanation:

Step 1: Write equation

-5(2x - 5) - 3x - 5 = 7

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-5(2(1) - 5) - 3(1) - 5 = 7

-5(2 - 5) - 3 - 5 = 7

-5(-3) - 8 = 7

15 - 8 = 7

7 = 7

Answer:

1073 inches squared.

Step-by-step explanation:

To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.

To find the answer:

Area = length * width

Area = 29 * 37

Area = 1073 inches squared.

Don't forget to add the units!

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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If a 25 bag-sample has mean of 415 grams and variance of 400, then the p-value of test statistic is 0.0169.

To test whether the bag filling machine is working correctly at the 424 gram setting, we use one-sample t-test.

The null hypothesis is that mean weight of the bags filled by machine is 424 grams, and

The Alternative hypothesis is that the mean weight is less than 424 grams.

The test statistic "t" :

⇒ t = (415 - 424)/√(400/25)) = -2.25,

The degrees of freedom for this test is = 25-1=24.

To find the p-value of the test statistic, we need to determine the probability of observing a t-value less than or equal to -2.25,

Using a t-distribution table with 24 degrees of freedom, the p-value corresponding to t = -2.25 is approximately 0.0169.

Therefore, the p-value of the test statistic is 0.0169.

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Answer:

108 students

Step-by-step explanation:

We can just multiply each value by a k value, or a constant of variation, since we would expect them to be proportional. To find it, we take our two known variables and divide them. 480/40 = 12. Now we multiply that number by 9 to find the projected amount of students wearing watches in the whole grade. 12*9 = 108.

Answer:

G(x) = (1 - x)/4

is the inverse function required.

Step-by-step explanation:

Given F(x) = -4x + 1

Let y = F(x)

Then y = -4x + 1

=> y - 1 = -4x

4x = 1 - y

x = (1 - y)/4

That is, the inverse is (1 - x)/4

Therefore, G(x) has to be (1 - x)/4

The   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7

We need to solve the system of equations using elimination method

-3x + 2y = 12....... equation 1

9x + y = 12...........equation 2

Multiply the 2nd equation with 2

18x + 2y = 24 ............equation 3

Now, subtracting equation 3 from equation 1

- 3x - 18x + 2y - 2y = 12 - 24

-21x = 12

x = 12/21 = 4/7

-3(4/7) + 2y = 12

-12/7 + 2y = 12

2y = 12 + 12/7

2y = 96/7

y = 48/7

Therefore, the   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7

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Answer:

(3, 9)

Step-by-step explanation:

I did the test

Answer:

7y=7-5x

Divide through by 7

y= (7-5x)÷7

y = 1 - 5x/7

Answer:

1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

The y-intercept of a function happens when the function "cuts" the y-axis.

This can be calculated as the value of the function f(x) when x=0.

Then, if we replace x by 0, we get the y-intercept:

The y-intercept for this function is f(0)=18.