Find p and q if 3(p 5// 4 8)-(-2 7//0 2)=2(-5 4//6 q). Please help me solve the matrix​

The margin of error is 0.05 then the sample size of students is 384.

A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.

The number of students in a school is 1000.

The level of confidence (C.L.) is 95% .

=  95/100

= 0.95.

The level of significance (α) is:

α = 1 − CL

=1  − 0.95

=0.05

The two-tailed critical value (Z) at the level of significance 0.05 was calculated using the standard normal table and is equal to 1.96.

Assume that 0.5 of the pupils at your school support the removal of the neighborhood's adolescent curfew.

the minimum number of students you need if you want the margin of error to be 5% will be:

\(n=\frac{\hat{p} \times(1-\hat{p}) \times\left(Z^{*}\right)^{2}}{(E)^{2}}\)

= 0.5(1−0.5)×(1.96)^2/(0.05)^2

=  384.16

= 384

the minimum number of students you need if you want the margin of error to be 5% will be: =  384

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I understand that question you are looking for is:

You are interested in the proportion of students in your school who favor the elimination of a local curfew on teenagers. Assume your school has 1,000 students.

a. To generate a 95% confidence interval for the proportion of students who favor the elimination of a curfew, what's the minimum number of students you need if you want the margin of error to be 5%?

The correlation coefficient "r" measures the strength and direction of a linear relationship, so if the relationship is nonlinear, the correlation coefficient may be misleading.

Correlation coefficient "r" is a measure used to summarize the association between two variables. It quantifies the strength and direction of a linear relationship between the variables. With "r" values ranging from -1 to +1, a value close to +1 indicates a strong positive linear relationship, while a value close to -1 indicates a strong negative linear relationship. A value close to zero suggests no linear relationship.

Using the correlation coefficient "r" is advantageous because it provides an objective measure of the relationship's strength and direction. It allows for quick and easy interpretation of the association between two variables, making it a useful tool in statistical analysis.

However, the correlation coefficient "r" is not appropriate for summarizing the association between variables in all cases. It is limited to measuring linear relationships only. If the relationship between the variables is nonlinear, the correlation coefficient "r" may be misleading. In such situations, other measures like Spearman's rank correlation coefficient or Kendall's tau-b, which can capture nonlinear relationships, should be considered.

Therefore, while the correlation coefficient "r" is valuable for summarizing the association between variables in linear relationships, it may not provide an accurate depiction if the relationship is nonlinear.

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The equation of the lines in slope intercept form and standard form is y = -2x + 10 and 2y+3x = 10

The equation of a line in point slope form is y = mx + b.

Given the equation below:

y-7 =-5/2(x+4)

2(y-7) = -5(x+4)

2y-14 = -4x - 20

2y = -4x-20+40

2y = -4x + 20

y = -2x + 10

For the equation;

y = -3/2 x + 5

Multiply through by 2

2y = -3x + 2(5)

2y = -3x + 10

2y+3x = 10

Hence the equation of the lines in slope intercept form and standard form is y = -2x + 10 and 2y+3x = 10

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Answer:

5:4

Step-by-step explanation

If your shoes to flip-flops are 10:8 then the starting ratio will be 10:8 but 10 and 8 are both divisible to 2 so you can simplify 10:8 to 5:4

Answer:

900 cubic feet

Step-by-step explanation:

Volume = length x width x height

= 10 x 20 x 4.5

= 900

Here, we want to use the imaginary number to rewrite the given expression as a complex number

Mathematically, the complex number can be written as;

Thus, we have;

Answer:

Step-by-step explanation:

You have two revenue relations and want the price of each adult and child ticket. 150 adult and 100 child tickets sold for $3087.50; 200 adult and 150 child tickets sold for $4287.50.

Each of the revenue relations can be formulated as an equation. If x and y represent the price of each adult and child ticket, respectively, then ...

  150x +100y = 3087.50

  200x +150y = 4287.50

The solution can be found many ways. A graphing calculator (first attachment) shows the solution to be ...

The calculator function that reduces a matrix to row-echelon form can be used on the augmented matrix of coefficients. That, too, gives the solution about as quickly as you can enter the coefficients. This is shown in the second attachment.

Subtracting twice the second equation from 3 times the first will eliminate the y-variable:

  3(150x +100y) -2(200x +150y) = 3(3087.50) -2(4287.50)

  50x = 687.50

  x = 13.75 . . . . . . divide by 50

From the second equation, ...

  y = (4287.50 -200(13.75))/150 = 1537.50/150

  y = 10.25

The length of line segment Dc is equal to 35 units.

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Since side length DE is parallel to AB and side DE is 5 less than side length DC, we have the following:

DE = DC - 5

In Geometry, the corresponding side lengths of two similar geometric figures are proportionate and as such, we have the following:

DC/AC = DE/AB

DC/56 = DC - 5/48

48DC = 56(DC - 5)

48DC = 56DC - 280

56DC - 48DC = 280

8DC = 280

DC = 280/8

DC = 35 units.

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Answer: $40

Step-by-step explanation:

If the worth of the stamp is double that of its original price 3 years ago ($1.25), the current price of the stamp should be $2.50. If that doubles every 3 years the answer should look something like this:

3 years: $5 (2.50X2=5)

6 years: $10 (5X2=10)

9 years: $20 (10X2=20)

12 years $40 (20X2=40)

In 12 years the stamp will be worth $40.

Answer:

Answer:

divide the total by the number of bags

22.75/4= 5.6875 round to the nearest penny= $5.69

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Surface area of a square pyramid:

To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:

Pythagorean theorem for the right triangle above:

Perimeter of the base is:

Area of the square base:

Then, the surface area of the given pyramid is

Answer:

-17.6,-13.8,-9.4,-3.6,-3.2,13.8

From number line the closer a decimal number is to zero the greater it is

Let X be a geometric random variable with parameter p = and let Y be a Poisson random variable with parameter A 4. Assuming X and Y independent, then the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

For the expected values of the perimeter and area of the rectangle, we need to calculate the expected values of X and Y first, as well as their respective distributions.

We have,

X is a geometric random variable with parameter p =

Y is a Poisson random variable with parameter λ = 4

X and Y are independent

For a geometric random variable with parameter p, the expected value is given by E(X) = 1/p. In this case, E(X) = 1/p = 1/.

For a Poisson random variable with parameter λ, the expected value is equal to the parameter itself, so E(Y) = λ = 4.

Now, let's calculate the expected values of the perimeter and area of the rectangle using the given side lengths X and Y + 1.

Perimeter = 2(X + Y + 1)

Area = X(Y + 1)

To find the expected value of the perimeter, we substitute the expected values of X and Y into the equation:

E(Perimeter) = 2(E(X) + E(Y) + 1)

            = 2( + 4 + 1)

            = 2( + 5)

To find the expected value of the area, we substitute the expected values of X and Y into the equation:

E(Area) = E(X)(E(Y) + 1)

       = ( )(4 + 1)

       = 5

Therefore, the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

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The directional derivative of f at point (3,4) in the direction of the unit vector determined by the angle θ = 2π/5 is approximately -29.13

To find the directional derivative of f(x,y) = -2x^2 + 4y^2 at point (3,4) in the direction of the unit vector determined by the angle θ = 2π/5, we need to first find the unit vector u in the direction of θ.

The unit vector u can be found as:

u = (cos θ, sin θ) = (cos (2π/5), sin (2π/5))

Using the formula for directional derivative, the directional derivative of f at point (3,4) in the direction of u can be calculated as:

D_u f(3,4) = ∇f(3,4) · u

where ∇f(3,4) is the gradient of f at point (3,4), which can be found as:

∇f(x,y) = (-4x, 8y)

So, ∇f(3,4) = (-12, 32)

Substituting these values, we get:

D_u f(3,4) = (-12, 32) · (cos (2π/5), sin (2π/5))

Using a calculator, we can evaluate this dot product as:

D_u f(3,4) ≈ -29.13

Therefore, the directional derivative of f at point (3,4) in the direction of the unit vector determined by the angle θ = 2π/5 is approximately -29.13

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The survey conducted by the researcher is not a valid representation of the attitudes of the voters in the three cities because a simple random sample was not used. Instead, the researcher used a convenience sampling method, which can lead to biased results.

The sampling method used by the researcher is a form of convenience sampling, which is a non-probability sampling method that involves selecting participants who are easily accessible or available. In this case, the researcher randomly selected names from the phone book, but this method is not truly random as it only includes people who have a phone number listed in the directory.

This excludes individuals who do not have a phone or who have an unlisted number, which can lead to biased results. Additionally, the researcher only called people during certain hours on certain days, which may have further limited the pool of potential participants.

As a result, the survey is not a representative sample because it does not include a random sample of participants from the population of interest. Therefore, the results cannot be generalized to the entire population, and the political candidate should not rely on this survey as an accurate representation of the attitudes of the voters. In conclusion, the survey was not valid and the results may not accurately reflect the opinions of the voters in the three cities.

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Answer:

Im Pretty Sure The Answer is B! :) hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Function is a relation where each x has only one corresponding y value.

Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.

Based on the information given, it should be noted that the probability distribution for y will be:

Y                   0        1.         2

Probability 0.63.   0.25.   0.12

The mean of Y will be:

= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)

= 0 + 0.25 + 0.25

= 0.49

The variance will be 0.4899. Therefore, the standard deviation will be:

= ✓0.4899

= 0.699

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Answer:

x > -25.

Step-by-step explanation:

-39 < 5x + 36

Subtract 36 from both sides:

-39 - 36 < 5x + 36 - 36

-75 < 5x

5x > -75

Divide both sides by 5:

x > -25.

Answer:

The X Axis on a Graph

The horizontal line (left-to-right) represents the X axis.

The y-axis is a vertical number line and goes up and down.

Answer:

hii simple answer here

The x-axis goes from left to right, while the y-axis goes from bottom to top.

The variance for the data set is 18.

What is a variance?

The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set.

Here we have to find the variance for this data set.

Given data:

The age of six grandchildren in a family is = 6, 3, 14, 11, 14, 6

The mean = 6+3+14+11+14+6/ 6

                 = 9

The variance = (6-9)² + (3-9)² + (14-9)² +(11-9)² + (14-9)² + (6-9)²/ 6

                      = 9+36+25+4+25+9/  9

                     = 18

Therefore the variance is 18.

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Answer:

F -3

Step-by-step explanation:

2(2x+1)=0.5(2x-14)

(4x+2)=(1x-7)

3x=-9

-3

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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In an expression using the logical operator And Also, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false.

The And Also operator is a short-circuiting operator that is used to combine two or more Boolean expressions. It evaluates the left-hand expression first and then the right-hand expression only if the left-hand expression evaluates to true

. If the left-hand expression evaluates to false, then the right-hand expression is not evaluated at all. This helps to improve the performance of the code by avoiding unnecessary evaluations of expressions that would not change the outcome of the overall condition.

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In an expression using the logical operator And Also , as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. Therefore option c. And Also correct.

This is because the AndAlso operator employs short-circuit evaluation, meaning it stops evaluating once it encounters

the first false condition since the overall result will definitely be false.

In an expression using AndAlso, if the first condition is false, the entire expression is evaluated as false without testing

any further conditions. This is also known as short-circuit evaluation.

In contrast, the OrElse operator evaluates to true as soon as one of the compound conditions is true, without testing

any further conditions. The Nor and Xor operators are less commonly used and have different behavior.

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The maximum area of the enclosure is 562500 square feet

The function is give as:

V(x) = 1500x - x^2

Differentiate

V'(x) = 1500 -2x

Set to 0

2x = 1500

Divide by 2

x = 750

Substitute x = 750 in V(x) = 1500x - x^2

V(x) = 1500*750 - 750^2

Evaluate

V(x) = 562500

Hence, the maximum area of the enclosure is 562500 square feet

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The factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

The factor of a equation is the terms or number which is common in all the terms of the that equation.

The first term of the equation is,

-1/2x

Multiply with 2 in numerator and denominator of this term as,

-2/4x

(-1/4)2x

Now the second term of the equation is,

-5/4y

Rewrite this term as,

(-1/4)5y

Thus, the expression become,

1/2x - 5/4y

(-1/4)2x- (-1/4)5y

-1/4(2x-5y)

Hence, the factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

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Answer:

C. 80in^2

Step-by-step explanation:

12*3 for the area of both sides of the H. 12*3= 36, and since there are two we multiply 36*2= 72

For the middle we multiply 4*2=8

72+8= 80