pls help 25 points what is it pls

We were told that angle AEc and angle DEF are vertical angle.

Answer:

2, 0

Step-by-step explanation:

2/2+1=1+1=2

2/2-1=1-1=0

Answer: 2/2+1=2 and 2/2-1=0

Step-by-step explanation: 2/2=1 so 1+1=2

Again, 2/2=1 so 1-1=0

The length of the shorter leg is 16 units which was found using the given data.

A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is ax² + bx + c = 0.

Given: The larger leg of a right triangle is twice more than three times the shorter leg, and the triangle's area is 400.

We know that,

Area of triangle = 1/2(larger leg)(shorter leg)

                  400=1/2(larger leg)(shorter leg)   Equation(1)

larger leg = 2 + 3(shorter leg)

We need to substitute this in Equation(1)

400 = 1/2[2+3(shorter leg)](shorter leg)

800 = 2(shorter leg) + 3(shorter leg)²

3(shorter leg)² + 2(shorter leg) - 800 = 0

Solving this quadratic equation,

we get, shorter leg = - 16 or +16

Thus, we found that the length of the shorter leg is 16 units as -16 cannot be the length because it is negative.

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The 95% margin of error simony states that there is a 95% probability that the confidence interval contains the true population mean.

It should be noted that the margin of error simply means a measurement that accounts for the difference between the actual result and the projected result in a survey sample.

In this case, the 95% margin of error simply states that there is a 95% probability that the confidence interval contains the true population mean. This is the radius of the 95% confidence interval.

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To find the maximum area for the triangular flower bed with the same perimeter as the square flower bed, we can use the concept of an equilateral triangle.

Let's denote the side length of the square flower bed as 's'. Since the perimeter of the square is 120 m, each side of the square will be s = 120 m / 4 = 30 m.

Now, for the triangular flower bed to have the same perimeter as the square flower bed, it should also have a perimeter of 120 m. In an equilateral triangle, all three sides are equal in length.

Let's denote the side length of the equilateral triangle as 't'. Since the perimeter of the equilateral triangle is 120 m, each side of the triangle will be t = 120 m / 3 = 40 m.

The formula for the area of an equilateral triangle is given by:

Area = (sqrt(3) / 4) * t^2

Substituting the value of t, we get:

Area = (sqrt(3) / 4) * (40 m)^2

Area ≈ 346.41 m^2

Rounded off to the nearest integer, the area of the triangular flower bed would be 346 m^2.

\((5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} \)

Answer:

\(125 {x}^{3} {y}^{6} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

125x^3y^6

Step-by-step explanation:

Distribute the 3 exponent on the outside to the 5, x^1 and y^2

5^3 = 125

1 * 3 = 3

2 * 3 = 6

125x^3y^6

The expression that is equivalent to (ab⁷)⁴ is (a⁴b²⁸)

What is the integer exponent property?

Exponents that are integers are known as integer exponents. Exponents with positive integer values tell us how many times to multiply the base by itself. We are instructed by negative integer exponents to first flip the numerator and denominator before multiplying the result by the specified number of times.

Here, we have

Given expression:  (ab⁷)⁴

We have to find the expression that is equivalent to this expression.

Using integer exponent property:

= (ab⁷)⁴

= (a⁴b²⁸)

Hence, the expression that is equivalent to (ab⁷)⁴ is (a⁴b²⁸).

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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Answer:

189/500

Step-by-step explanation:

\(0.378\\\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}\\\\\mathrm{There\:are\:}3\\\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\\\:therefore\:multiply\:and\:divide\:by\:1000}\\\\=\frac{0.378\timess \:1000}{1000}\\\\=\frac{378}{1000}\\\\\frac{378}{1000}:\quad \frac{189}{500}\)

Answer:

Option C

Step-by-step explanation:

\(y = x(x -6)(x +1)(x+3)\)

There are four expressions in the above equation, which are multiplying with each other:

1. \(x\)

2. \((x -6)\)

3. \((x + 1)\)

4. \((x + 3)\)

The values of x (for which zero y values are obtained) are determined when setting each of the above mentioned expressions equal to 0:

1. \(x = 0\)

∴x = 0

2. \((x - 6) = 0\)

 ∴x = 6

3. \((x + 1) = 0\)

∴x = \(-1\)

4. \((x + 3) = 0\)

∴ x = \(-3\)

∴The function have zeros at -3, -1, 0 and 6

Function in option C represent the above mentioned characteristics.

The perimeter of the rectangle is 20 units.

The given rectangle has vertices at points A(1, 1), B(1, 4), C(8, 4), and D(8, 1). To find the perimeter, we need to calculate the sum of the lengths of all four sides.

Using the distance formula between two points in a coordinate plane, we can find the length of each side:

Side AB:

AB = √((\(x_2 - x1)^2\) + (\(y_2\) - y1)²)

AB = √((1 - 1)² + (4 - 1)²)

AB = √(0² + 3²)

AB = √(0 + 9)

AB = 3 units

Side BC:

BC = √((x₂ - x1)² + (y₂ - y1)²)

BC = √((8 - 1)² + (4 - 4)²)

BC = √(7² + 0²)

BC = √(49 + 0)

BC = √49

BC = 7 units

Side CD:

CD = √((x₂ - x1)² + (y₂ - y1)²)

CD = √((8 - 8)² + (1 - 4)²)

CD = √(0² + (-3)²)

CD = √(0 + 9)

CD = 3 units

Side DA:

DA = √((x₂ - x1)² + (y₂ - y1)²)

DA = √((1 - 8)² + (1 - 1)²)

DA = √((-7)² + 0²)

DA = √(49 + 0)

DA = √49

DA = 7 units

To find the perimeter, we add up the lengths of all four sides:

Perimeter = AB + BC + CD + DA

Perimeter = 3 + 7 + 3 + 7

Perimeter = 20 units

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For the given numerical example in a classification problem, the logistic loss function is always less than or equal to zero, indicating that a solution that minimizes the objective function cannot be found, possibly due to non-linearly separable data.

Since this is a classification problem with binary labels, we can use the logistic loss function given by:

L(y, h(x)) = log(1 + exp(-y * h(x)))

where y is the true label (either 1 or -1), h(x) is the predicted value, and exp is the exponential function.

In this case, λ = 0.5, y = 1, x = [10], and θ^ = [θ1^,θ2^]. We want to minimize the objective function:

f(θ^) = λ/2 * ||θ^||^2 + L(y, θ^ · x)

Substituting in the values, we get:

f(θ^) = 0.25 * (θ1^2 + θ2^2) + log(1 + exp(-θ1^ * 10))

To solve for θ1^ and θ2^, we need to find the partial derivatives of f(θ^) with respect to θ1^ and θ2^ and set them equal to zero:

∂f(θ^)/∂θ1^ = 0.1 * exp(-θ1^ * 10) * (1 / (1 + exp(-θ1^ * 10))) + 0.5 * θ1^ = 0

∂f(θ^)/∂θ2^ = 0.5 * θ2^ = 0

The second equation gives θ2^ = 0. Setting the first equation to zero and simplifying, we get:

exp(-θ1^ * 10) = -5

Since the exponential function is always positive, there are no solutions to this equation. However, we can use the hint given in the problem to show that the loss function is always less than or equal to zero for this example:

L(y, θ^ · x) = log(1 + exp(-10 * θ1^))

= log(1 + exp(-10 * (θ1^ - log(5))))

Since exp(-10 * (θ1^ - log(5))) is always less than or equal to 1, log(1 + exp(-10 * (θ1^ - log(5)))) is always less than or equal to 0. Therefore, the loss function is always less than or equal to 0.

So, we cannot find a solution that minimizes the objective function for this example. This suggests that the data is Non -linearly separable.

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_____The given question is incomplete, the complete question is given below:

Consider minimizing the above objective fuction for the following numerical example:

λ=0.5,y=1,x=[10]

Note that this is a classification problem where points lie on a two dimensional space. Hence θ^ would be a two dimensional vector.

Let θ^=[θ1^,θ2^], where θ1^,θ2^ are the first and second components of θ^ respectively.

Solve for θ1^,θ2^.

Hint: For the above example, show that Lossh(y(θ^⋅x))≤0

Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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Answer: 3.93701

Step-by-step explanation:

Answer:

10 cm to inches is 3 15/16 inches, or in decimal, is 3.9370 inches

Step-by-step explanation:

Answer: 0 slope; horizontal line

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Ruth can contribute $2400 as the maximum amount as an additional contribution for the tax year.

People enrolling in high-deductible health plan (HDHP) receive Healthy Savings Account (HSA) with tax advantages. It offers no income tax on the money saved, which can also be carried forward in case of job switch, retirement and varied health plans.

It allows total contribution of $3400 for medical expenses from employers and employees.

Based on this data, the maximum contributional amount can be = 3400 - 1000

Maximum contributional amount = $2400

Hence, the maximum contributional amount is $2400.

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According to the information, the area of the irregular octagon is approximately 111.8 square yards.

To find the area of a figure with 8 sides and given side lengths, we need to first determine what type of figure it is. Based on the side lengths provided, it is not immediately clear what type of figure it is. However, we can calculate the perimeter of the figure to gain some insights.

The perimeter of the figure is 40 yards, which suggests that it might be an octagon (a polygon with 8 sides). To confirm this, we can check if the side lengths satisfy the necessary condition for an octagon, which is that all 8 sides have to be equal or else they should be grouped in pairs of equal lengths. From the given side lengths, we can see that there are no pairs of equal lengths, so it is an irregular octagon.

To find the area of the irregular octagon, we can divide it into smaller shapes such as triangles and rectangles. One way to do this is to draw lines from one vertex to all the other vertices, dividing the octagon into 6 triangles and 2 rectangles. Then we can calculate the area of each individual shape and add them up to get the total area of the octagon.

This process can be tedious and time-consuming, so we can also use a formula to calculate the area of the irregular octagon. One common formula is the Brahmagupta's formula, which states that the area of an irregular quadrilateral (such as an octagon) can be calculated as:

where a, b, c, and d are the lengths of the sides, B and D are the opposite angles, and s is the semiperimeter (half the perimeter):

Using the given side lengths and the formula above, we can calculate the area of the irregular octagon. The calculations can be a bit involved, but using a calculator or spreadsheet can help make it easier.

After plugging in the side lengths and evaluating the formula, we get:

Therefore, the area of the irregular octagon is approximately 111.8 square yards.

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The running time of fib3 is an efficient algorithm that can be used in various applications that require the computation of the Fibonacci sequence.

Fibonacci sequence is a well-known sequence in mathematics that is defined as a series of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1. The Fibonacci sequence has many applications in computer science, including the design and analysis of algorithms. One of the algorithms that use the Fibonacci sequence is the fib3 algorithm, which computes the nth Fibonacci number in O(log n) time complexity.

To prove that the running time of fib3 is O(m(n)), we need to show that the growth rate of the running time of fib3 is smaller than or equal to the growth rate of m(n), where m(n) is the time complexity of an arbitrary algorithm that solves the same problem as fib3.

Since fib3 has a logarithmic time complexity, its growth rate is much smaller than the growth rate of m(n), which is usually exponential or polynomial. Therefore, we can say that the running time of fib3 is indeed O(m(n)).

In conclusion, we have shown that the running time of fib3 is bounded by the time complexity of an arbitrary algorithm that solves the same problem, which is m(n). This implies that fib3 is an efficient algorithm that can be used in various applications that require the computation of the Fibonacci sequence.

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the tax value of the truck after 6 years of depreciation would be $4,000. To calculate the tax value of the truck after 6 years of depreciation, we can use the formula:

Tax Value = Initial Value - (Depreciation Rate * Initial Value * Number of Years)

Given that the initial value of the truck is $25,000 and it depreciates at a rate of 14% per year, we can substitute these values into the formula:

Tax Value = $25,000 - (0.14 * $25,000 * 6)
         = $25,000 - $21,000
         = $4,000

Therefore, the tax valuevalue of the truck after 6 years of depreciation would be $4,000. However,  match the none of the options provided in the question match this value. Thus, none of the given options are correct.

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Answer:

90

Step-by-step explanation:

90

Answer:

1: $53750

2: $15975

3: 40

4: 90

5: 51

6a: 20%

6b:204

Step-by-step explanation:

1: to calculate this mulitply 50000*1.075= 53750

2: same deal 15000*1.065=15975

3: We have a ratio of 3:2 and then 60:x because we multiplied the first ratio by 20 to get the 60 in the second we multiply the 2 by 20 as well and get x=40

4: This one is kind of tricky. we know that there are 4 dogs for every 3 cats. We also know that there are 210 animals. This means that 4x+3x=210 solve this and get x=30 you then multiply the ratio 4:3 by 30 and get 120:90

5: 1/5*255=51

5a: 1/5=.2=20%

5b: 255-51=204

Answer:

1. What is the total price of a $50,000 house plus 7.5% sales tax?

answer

total price =$50000+7.5% of 50000=$53750

2. What is the total price of a $15,000 car plus 6.5% sales tax?

total price =$15,000+6.5% of $15,000=$15975

3.The ratio of boys to girls in the assembly was 3 to 2. If 60 boys were in the assembly,

how many girls were there?

let ratio be 3x and 2x

we have

3x=60

x=60/3=20

no of girls =2x=2×20=40

4.The ratio of dogs to cats at the vet was 4 to 3. If 210 pets were in the vet, how many cats were there?

let ratio be 4x and 3x

we have

4x+3x=210

x=210/7=30

no of cats =3x=3×30=90

The basis for h is {v2,v3}.

To find a basis for h=span{v1,v2,v3}, we need to determine which of these vectors are linearly independent and which are not.

We know that v1-3v2+5v3=0, which means that v1 can be expressed as a linear combination of v2 and v3.

Therefore, v1 is not linearly independent and we can remove it from our list of vectors.

Now we have v2 and v3 left. To determine if they are linearly independent, we can try to express one of them as a linear combination of the other. Let's try to express v2 as a linear combination of v3:

v2 = a*v3 + b*v1

Since we already know that v1 can be expressed as a linear combination of v2 and v3, we can substitute v1 with that expression:

v2 = a*v3 + b*(v1-3v2+5v3)

Simplifying this expression, we get:

(1+3b)v2 + (-a+5b)v3 = v1

We want the left side to be equal to zero, so we set up a system of equations:

1+3b = 0

-a+5b = 0

Solving this system, we get a=15 and b=-1. This means that v1 can be expressed as:

v1 = 15v3 - v2

Therefore, v2 and v3 are linearly independent and form a basis for h=span{v1,v2,v3}.

So the basis for h is {v2,v3}.

Using the given information, we can find a basis for H = span {v1, v2, v3}.

It is verified that v1 - 3v2 + 5v3 = 0. This implies that v1 is a linear combination of v2 and v3. Therefore, v1 is not linearly independent from v2 and v3.

To find a basis for H, we can consider only the linearly independent vectors. In this case, the basis for H would be {v2, v3}.

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Answer:

pagiging matulungin sa kapwa

To determine which of the critical values correspond to a local maximum for the function f(x) = 4x³ + 48x + 24, we can use the first derivative test. The critical values are x = -2 and x = 2. By evaluating the sign of the first derivative on each side of the critical points, we find that the point x = -2 corresponds to a local maximum.

To apply the first derivative test, we first find the derivative of the function f(x) = 4x³ + 48x + 24. Taking the derivative, we get f'(x) = 12x² + 48.
Next, we identify the critical values by setting the derivative equal to zero and solving for x: 12x² + 48 = 0. Simplifying the equation, we find x² = -4, which gives us x = ±√(-4). Since we are only interested in real solutions, we discard the imaginary solutions, leaving us with two critical values: x = -2 and x = 2.
To determine which of these critical values correspond to a local maximum, we evaluate the sign of the first derivative on each side of the critical points. For x < -2, the first derivative is positive (e.g., f'(-3) = 12(9) + 48 = 156), indicating the function is increasing. For -2 < x < 2, the first derivative is negative (e.g., f'(-1) = 12(1) + 48 = 60), indicating the function is decreasing. Finally, for x > 2, the first derivative is positive (e.g., f'(3) = 12(9) + 48 = 156), indicating an increasing function.
Therefore, based on the first derivative test, we can conclude that the critical value x = -2 corresponds to a local maximum for the function f(x) = 4x³ + 48x + 24.

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there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

How can I find the probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

there is a jar containing 27 black

and 33 gold jelly beans.

you will get a chance to draw 10 jellybeans at random from the jar.

on each draw, what is probability of drawing a gold jelly bean

Add up the total number of jellybeans, 27 + 33 = 60

Divide the number of gold jellybeans by the total: 33/60 and reduce the fraction to 11/20

=0.55

Hence, there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

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True.The given statement "If the alternative hypothesis includes the symbol <, the rejection region is in the upper tail" is true.

If the alternative hypothesis involves less than the symbol <, the rejection region would be in the upper tail.There are two possibilities for the alternative hypothesis, one is that it is two-sided (≠), and the other is that it is one-sided (< or >).

When the null hypothesis is true, a one-tailed test is more efficient than a two-tailed test because it is more likely to detect a real difference. A one-tailed test is appropriate when we want to test whether a parameter is greater than or less than a certain value.

The hypothesis test's alternative hypothesis is a statement that is accepted if the null hypothesis is rejected. A one-tailed test is a hypothesis test in which the region of rejection is located on only one side of the distribution.As a result, if the alternative hypothesis includes the symbol <, the rejection region is in the upper tail. The alternative hypothesis is typically denoted by H1, while the null hypothesis is denoted by H0.

It is necessary to specify the rejection region in the alternative hypothesis, which can be one-tailed (one-sided) or two-tailed (two-sided).If the alternative hypothesis involves less than the symbol <, the rejection region would be in the upper tail. The null hypothesis and the alternative hypothesis must be mutually exclusive and collectively exhaustive; that is, they must cover all possibilities. We cannot test both hypotheses at the same time because they are contradictory; instead, we must determine which hypothesis is more likely to be true based on the sample data.The null hypothesis assumes that there is no distinction between the population parameters and the sample statistics. The alternate hypothesis assumes that the sample statistics vary from the population parameters.

As a result, the alternative hypothesis can be written as Ha: µ < µ0 or Ha: µ > µ0 if the rejection region is one-sided.

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Answer:

m = 4

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

5(m-2)-10=6+2(1-m)

5m-5*2-10=6+2*1-2*m

5m-10-10=6+2-2m

5m-20=8-2m

5m+2m=8+20

7m=28

m=28/7

m=4