Rahman fenced his square plot of land.

Total length of the basement of the fence is 392 m.

Later he decided to use half of the plot area to plant agricultural crops.

Find the area used for agricultural purpose.

Answer:

Yes, No, No, Yes

Step-by-step explanation:

Hope this helps. Pls give brainliest.

The point that lies in the fourth quadrant is (1, -2).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates are:

(1,−2), (1, 8), (-5, -4), and (-5, 2).

(1, -2) is in the fourth quadrant.

(1, 8) is in the first quadrant.

(-5, -4) is in the third quadrant.

(-5, 2) is in the second quadrant.

Thus,

(1, -2) lies in the fourth quadrant.

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Answer:   (5,−2) is the only point in the fourth quadrant.

Step-by-step explanation:

A regression model could be used to estimate the wage gender gap by comparing the earnings of men and women.

Regression is a statistical technique used in the fields of finance, investing, and other areas that aims to assess the nature and strength of the relationship between one dependent variable and another. In this case, the dependent variable would be the gender gap in wages and the independent variable would be the earnings of men and women. The regression model would be used to calculate the difference between the two variables, which would indicate the wage gender gap.

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The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.

The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for

A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:

F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:

F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:

E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.

d. The variance of the given random variable X can be obtained using the following formula:

Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6

Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6

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Answer:

0.75 was how much she paid for each postcard.

Step-by-step explanation:

6.04-3.79

=2.25

so take 2.25 divided by 3

= o.75

equations would be 6.04-3.75=b/ 3

Answer:

pog

Step-by-step explanation:

Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

-18 ± sqrt(220) / 4

This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2

Answer:

Kindly check explanation

Step-by-step explanation:

Learning could be explained as a process of acquiring knowledge about a certain subject, trade or other aspects of life. In terms of learning about certain school subjects, a student needs to discover him or herself in other to make acquiring knowledge easy and less tedious for him or her. Now, there are designated tools more than evwr which could aid learning. A very important recommendation which could aid acquiring matematicka knowledge is the use of models to gain an insight to the fundamentals of a mathematical problem and thus seeing how it works. After this one can then break down the mathematical procedure embedded or used it aid the model manually in other to grasp the full concept of the principle.

Answer: 3 and -5

Step-by-step explanation:

45, 33, 22, 12,

differences =

45-33 = 12

33-22=11

22-12=10

pattern = decreases by one so

12- 9 = 3

3- 8 = -5

Answer:

\(VR=5\)

Step-by-step explanation:

From the question we are told that:

No of Pulleys =5

Generally Greatest VR is achieved if it has no friction to the pulleys

Therefore

\(W=5P\)

Generally the equation for Efficiency  is mathematically given by

\(n=\frac{MA}{VR}\)

Where

MA=mechanical advantage

Therefore  at Greatest VR

\(n=100 \%\)

\(MA=VR\)

\(VR=\frac{W}{P}\)

\(\frac{W}{P}=5\)

\(VR=5\)

Answer:

1) f = 16

2) h = 10

Step-by-step explanation:

all interior angles of a triangle add up to 180 degrees.

1) 46 + 67 + (4f+3) = 180

reduce:

4f+3 = 67

4f = 64

f = 16

2) 60 + 3h + 90 = 180

3h = 30

h = 10

a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.

To calculate the volume occupied by a sample of osmium, we can use the formula:

Volume = Mass / Density

Given:

Mass = 21.8 g

Density = 22.6 g/cm³

Substituting these values into the formula:

Volume = 21.8 g / 22.6 g/cm³

Simplifying:

Volume = 0.9646 cm³

what is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.

In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.

For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.

Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.

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A is a 3x3 matrix, so its determinant must be non-zero for it to have an inverse. In this case, the determinant of A is 0, so A is a singular matrix and does not have an inverse. \(A^-1\) = does not exist.

A singular matrix is a matrix whose determinant is zero, and it can't be inverted. If the determinant of a matrix is 0, it means that the rows (or columns) are linearly dependent, which in turn means that there is no unique solution to the system of equations which the matrix represents. In other words, the equations have infinitely many solutions.

For example, in the matrix A, the sum of the first and third columns is zero, which means that these two columns are linearly dependent. In other words, combination of the first and third column represented by the matrix A does not have a unique solution. Therefore,\(A^-1\) does not exist.

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Answer:

107 degrees

Step-by-step explanation:

The four angles of a parallelogram add up to 360 degrees. Any two adjacent angles of a parallelogram add up to 180 degrees. So y is equal to 180 degrees minus 73 degrees, which is equal to 107 degrees.

The equation that is true from the given options are 3(2y+8) + y = 12 and x = 2(12-3x) + 8

A system of equations, usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.

Given the simultaneous equations below

x = 2y + 8 and;

3x + y = 12

This equations can be solved using the substitution method. From equation 1;

x = 2y + 8

In order to write the equation as a function of one variable, we will substitute equation 1 into 2 to have:

3(2y+8) + y = 12

Expand

6y + 24 + y = 12

7y = 12 - 24

7y = -12

y = -12/7

Similarly from equation 2;

y = 12 - 3x

Substitute into 1;

x = 2y + 8

x = 2(12-3x) + 8

Hence the equation that is true from the given options are 3(2y+8) + y = 12 and x = 2(12-3x) + 8

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Answer:

-4x - 1.

Step-by-step explanation:

-1(2x + 3) - 2(x - 1)

= -2x - 3 - 2x + 2

= -4x - 1.

Answer:

-4x -1

Step-by-step explanation:

-2x -3 -2x + 2

Answer:

Solution: y - 4 = 1 / 12(x + 4)² or Option B

Step-by-step explanation:

Since the directrix is vertical, use the equation of a parabola that opens up or down -

(x - h)² = 4p(y - k)

Remember that the vertex, (h, k) is halfway between the directrix and focus. Therefore we can find the  y  coordinate of the vertex using the formula y = y coordinate of focus + directrix / 2.The  x -coordinate will be the same as the  x  coordinate of the focus.

Vertex: (- 4, 7 + 1 / 2) = (- 4,4)

Now we can find the distance from the focus to the vertex. The distance  from the vertex to the directrix is  represented by | p |. We can subtract the  y  coordinate of the vertex from the  y -coordinate of the focus to find  p.

p = 7 - 4 = 3

Substitute the known values for these variables into the given equation (x - h)² = 4p(y - k) to get our solution.

(x + 4)² = 4(3)(y - 4),

(x + 4)² = 12(y - 4)

1 / 12(x + 4)² = y - 4

y - 4 = 1 / 12(x + 4)² ~ As you can see your solution is option b.

Answer:

x=2, y=0

Step-by-step explanation:

In linear equation, 24 wide is the actual kitchen .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

We are given that Luther drew a scale drawing of an Italian restaurant. He used a scale on which 8 millimetre equals 3 meters. We need to find the width of the kitchen if in the drawing it is 24 mm wide.

So,

8mm = 3m

24 mm =?

24 mm = 8 * 3

3 mm = 24 m

The actual width of the kitchen is 18 m.

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Answer:

dont mind me

Step-by-step explanation:

Answer:

b. a. c. b. c. b. c. c. a.

Step-by-step explanation:

2 3 4 5 6 7 8 9 and 10

E(X) = 1.88.  E(X^2) = 11.12. E((3X + 2)^2) = 126.64. To find E(X) and E(X^2), we will use the provided probability distribution for the random variable X.

E(X) is the expected value of X and can be calculated by multiplying each value of X by its corresponding probability and summing them up. Let's perform this calculation:

E(X) = (-2 * 0.18) + (4 * 0.38) + (6 * 0.12)

= -0.36 + 1.52 + 0.72

= 1.88

Therefore, E(X) = 1.88.

E(X^2) is the expected value of X^2 and can be calculated by multiplying each value of X squared by its corresponding probability and summing them up. Let's perform this calculation:

E(X^2) = ((-2)^2 * 0.18) + (4^2 * 0.38) + (6^2 * 0.12)

= (4 * 0.18) + (16 * 0.38) + (36 * 0.12)

= 0.72 + 6.08 + 4.32

= 11.12

Therefore, E(X^2) = 11.12.

Now, let's evaluate E((3X + 2)^2) using the values of E(X) and E(X^2) obtained in the previous step.

E((3X + 2)^2) = E(9X^2 + 12X + 4)

= 9E(X^2) + 12E(X) + 4

Substituting the values of E(X^2) = 11.12 and E(X) = 1.88:

E((3X + 2)^2) = 9 * 11.12 + 12 * 1.88 + 4

= 100.08 + 22.56 + 4

= 126.64

Therefore, E((3X + 2)^2) = 126.64.

Please note that the final answer is subject to the accuracy of the provided probability distribution and the calculations performed.

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Incomplete Question:

Let X be a random variable with the probability distribution below. Find

E(X)

and

EX2

and​ then, using these​ values, evaluate

E(3X+2)2.

x

−2

4

6

f(x)

18

38

12

Find E(X).

E(X)=

​(Simplify your​ answer.)

Find EX2.

EX2=

​(Simplify your​ answer.)

Evaluate

E(3X+2)2.

E(3X+2)2=

​(Simplify your​ answer.)

please make sure answer is correct and answer quickly.

To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.

A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.

The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.

For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.

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Using the test statistic, at the 0.05 level of significance, we do not find sufficient evidence to support the political scientist's claim and hence reject the null hypothesis.

To determine whether there is enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65%, we can perform a hypothesis test using the given data.

Let's set up the null and alternative hypotheses:

H₀: p ≤ 0.65 (Null hypothesis: The proportion of college students interested in election results is 65% or less)

Ha: p > 0.65 (Alternative hypothesis: The proportion of college students interested in election results is more than 65%)

We are given that the sample size is 265 college students, and out of this sample, 180 students say they're interested in their district's election results.

To perform the hypothesis test, we'll calculate the test statistic, which is the z-statistic in this case, using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

Where p is the sample proportion, p₀ is the hypothesized proportion under the null hypothesis, and n is the sample size.

Let's calculate the sample proportion:

p = 180 / 265 ≈ 0.679

Now, we can calculate the test statistic:

z = (0.679 - 0.65) / √(0.65(1-0.65)/265) ≈ 1.295

Next, we'll compare the test statistic with the critical z-value at a 0.05 level of significance (α = 0.05) for a one-tailed test.

Using a standard normal distribution table or a statistical calculator, the critical z-value at α = 0.05 is approximately 1.645.

Since the test statistic (1.295) does not exceed the critical z-value (1.645), we fail to reject the null hypothesis. In other words, we do not have enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65% based on this sample.

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Answer:

8

Step-by-step explanation:

The value after divide will be 2³ or 8.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 2⁹ divided by 2⁶.

Now,

Since, The expression is,

⇒ 2⁹ divided by 2⁶.

Hence, We get;

⇒ 2⁹ / 2⁶ = 2⁹⁻⁶

              = 2³

              = 8

Thus, The value after divide = 2³ or 8.

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Hey there!

1/2(8 - 6y) + 1/5(10y - 25)

DISTRIBUTE 1/2 & 1/5 WITHIN the PARENTHESES

= 1/2(8) + 1/2(-6y) + 1/5(10y) + 1/5(-25)

= 4 - 3y + 2y - 5

COMBINE the LIKE TERMS

= (-3y + 2y) + (4 - 5)

= -3y + 2y + 4 - 5

= -1y - 1

≈ -y - 1

Therefore, your answer is: -y - 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The choice of critical values in hypothesis testing depends on the desired significance level, the nature of the test (one-tailed or two-tailed), and the distribution under consideration.

The values of 1.645 and 1.96 are commonly used critical values for hypothesis testing in the context of normal distributions with a significance level (α) of 0.05. The distinction between using 1.645 for a one-tailed test and 1.96 for a two-tailed test is based on the different nature of these tests and the associated probabilities.

In a one-tailed test, the null hypothesis is tested against an alternative hypothesis in a specific direction (either greater than or less than). The critical value used in this case is chosen to correspond to the desired significance level (α) for a one-tailed test. For α=0.05, the critical value is 1.645. This means that if the test statistic falls in the critical region beyond 1.645 standard deviations from the mean in the specified direction, the null hypothesis is rejected.

On the other hand, a two-tailed test involves testing the null hypothesis against an alternative hypothesis in both directions (greater than and less than). The critical value used in a two-tailed test is chosen to split the significance level (α) evenly between the two tails of the distribution. For α=0.05, each tail receives an α/2 = 0.025 significance level. The critical value for a two-tailed test at α/2=0.025 is 1.96. In this case, the null hypothesis is rejected if the test statistic falls in either tail beyond 1.96 standard deviations from the mean.

The choice of critical values in hypothesis testing depends on the desired significance level, the nature of the test (one-tailed or two-tailed), and the distribution under consideration. The values 1.645 and 1.96 are approximations based on standard normal distribution tables and are commonly used for α=0.05, but different values may be used for other significance levels or distributions.

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(a) There is about 68% chance that the number of heads will be somewhere between 16 and 14.

(b) There is about 95.4% chance that the number of heads will be somewhere 12 and 28.

(c) There is about 95.4% chance that the number of heads will be somewhere 8 and 32.

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: n = 100

p = 0.20

μ = 20

σ = 4

Verification of mean and standard deviation:

μ = np = 100(0.20) = 20

σ = \(\sqrt{np(1-p)} = \sqrt{100(0.20)(1-0.20)} = 4\)

As per central limit theorem,

(a) Using central limit theorem:

μ - 1σ = 20 - 4 = 16

μ+ 1σ = 20 + 4 = 24

Hence, there is about 68% chance that the number of heads will be somewhere between 16 and 14.

(b)  μ - 2σ = 20 - (2 x 4) = 12

μ + 2σ = 20 + (2 x 4) = 28

Hence, there is about 95.4% chance that the number of heads will be somewhere 12 and 28.

(c)  μ - 3σ= 20 - (3 x 4) = 8

μ + 3σ = 20 + (3 x 4) = 32

Hence,  there is about 95.4% chance that the number of heads will be somewhere 8 and 32.

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The inequality \($uv^2 \leq (uv)^2$\) holds for any vectors u and v in \(R^2\). Equality holds when the vectors u and v are collinear or when one of them is the zero vector.

To prove the inequality \($uv^2 \leq (uv)^2$\), we can start by expressing the dot product of u and v in terms of their components. Let u = (\(u_1, u_2\)) and v = (\(v_1, v_2\)).

Then, the dot product of u and v is given by\(uv = u_1 v_1 + u_2 v_2\).

Now, consider the squared length of the projection of u onto v.

This can be calculated as \((uv)^2\) / \(||v||^2\), where ||v|| represents the length of vector v.

Since ||v||^2 = vv, we have \((uv)^2\) /\(||v||^2\) = \((uv)^2\) / (\($v \cdot v$\)).

On the other hand, the squared length of vector u can be expressed as \(u\cdot u = u1^2 + u2^2\).

Now, we can compare the two expressions: \(uv^2\) and \((uv)^2\) / (vv).

By substituting the expression for uv, we get \(uv^2\) = \((u_1 v_1 + u_2 v_2)^2\), and by substituting the expressions for \(||v||^2\) and uu, we get \((uv)^2\) / (vv) = (\(u_1^2 v_1^2 + u_2^2 v_2^2\)) / (\(v_1^2 + v_2^2\)).

It can be shown that \((u_1 v_1 + u_2 v_2)^2 \geq (u_1^2 v_1^2 + u_2^2 v_2^2)\) for any real numbers \(u_1, u_2, v_1, v_2\). Therefore, \(uv^2\) ≤ \((uv)^2\) / \((vv)\), which implies \(uv^2\) ≤ \((uv)^2\).

Equality holds in the inequality \($uv^2 \leq (uv)^2$\) when the vectors u and v are collinear or when one of them is the zero vector.

Geometrically, this inequality represents the fact that the squared length of the projection of vector u onto vector v is always less than or equal to the squared length of the projection of u onto v.

When the vectors are collinear, their projections coincide and the inequality becomes an equality. Similarly, when one of the vectors is the zero vector, its projection onto any other vector is zero, resulting in equality as well.

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