What Is The Measure Of Angle Y? Triangle XYZ: 45 Degree, 60 Degree, Y=____ (2024)

In the hypothesis testing procedure, alpha is; the level of significance

What is alpha in hypothesis testing?

Hypothesis testing is the method that is used to find the probability of the hypothesis that is to be proved in the future on the basis of the small population sample.

There are many conditions that can be effectively analyzed using a hypothesis test. When we carry out a hypothesis test, we are making use of information from a sample to find out if we have enough evidence to either reject or fail to reject some assumption about a population. When we make this decision, there is always a chance that we are wrong in our decision.

In all of these there is the need to determine the measurement of the statistical significance. What we use is level of significance denoted by alpha and It defines whether the null hypothesis is assumed to be accepted or rejected.

Read more about hypothesis testing at; https://brainly.com/question/15980493

#SPJ1

Answer:

28

Step-by-step explanation:

Answer:

6.4 × 10^13

Step-by-step explanation:

8x10^3 x 8x10^9 =

= 8 × 8 × 10^3 × 10^9

= 64 × 10^(3 + 9)

= 64 × 10^12

= 6.4 × 10^13

Answer:

12

Step-by-step explanation:

as $1.50 x 10 = $15 and he get 2 free so 10 + 2 = 12

Answer:

(C) And (F)

Step-by-step explanation:

2x(3 + 4x) – x + 4 –(x + 1)

= 6x + 8x² – x + 4 – x – 1 (c)

= 8x² + 6x – x – x + 4 – 1

= 8x² + 4x + 3 (F)

i hope this helps

2x(3 + 4x) - x + 4 - (x + 1)
6x + 8x - x + 4 - x - 1
12x + 3

Use this formula to help you find the answer

The area of the given trapezoid is irrational because of the option C. the given height is irrational and irrational height is multiplied by the other rational dimensions.

As given in the question,

Area of the trapezoid is given by the formula :

A = ( 1/2) (b₁ + b₂ ) h

Base one is given by 'b₁' =3.6cm

Base two is given by 'b₂' = 12cm

Height of the trapezoid is 'h' = √ 5 cm

√5 is an irrational number

Where as 3.6 and 12 are rational numbers

To calculate area

b₁ + b₂ = 3.6 + 12

= 15.6cm is also a rational number

15.6/2= 7.8 is also a rational number

Multiply 7.8 × √5 the product is an irrational number.

Therefore, the area of the trapezoid is an irrational number as the irrational height multiplied to the sum of the rational bases.

The above question is incomplete , the complete question is:

To find the area of a trapezoid, Dylan uses the formula A = 1/2 (b 1 + b 2)h The bases have lengths of 3.6 cm and 12 cm. The height of the trapezoid is √5 cm.

The area of the trapezoid is irrational because

a. the values of the variables are all irrational numbers.

b. the entire answer is being multiplied by a fraction.

c. the height is irrational, and it is multiplied by the other rational dimensions.

d. the bases have an irrational sum that will be multiplied by the rational height.

Learn more about irrational here

brainly.com/question/15837135

#SPJ4

The option A is correct .Because it holds product rule of logarithm.This property says that the sum of the logs of its factors.

What is logarithm?

Logarithm is way of writing an exponent. It is mathematical operation that help to find how many times a certain number called base.

How many laws of logarithm?

There are four main laws of logarithm.Product rule,quotient rule,power rule,and change of base rule.

Now we use product rule

[tex]log_{6} 36 + log_{6} 216[/tex]

[tex]log_{6}[/tex] (36×216)

[tex]log_{6}[/tex] 7776

To learn more about logarithm visit:

https://brainly.com/question/28346542

#SPJ1

Answer: 2/9 is the slope

A. Develop an estimated multiple regression equation that relates the risk of a stroke to the person's age, blood pressure, and whether the person is a smoker. Suppose x1 represents the person's age, x2 the person's blood pressure, and x3 represents the person who is a smoker. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) = __ + __ x1 + __ x2 + __ x3. Sample value is shown in the table that is attached as a picture (Table_Value)

The regression equation is:

Risk = 36.261 + 0.156 * X0 − 0.117 * X1 + 5.800 * X2

Where:

X0 = Person's age

X1 = Person's Blood pressure

X2 = Person's Smoker.

The data analysis toolbox Excel regression function is used to find the regression. The data summary is shown in the first table below, while the regression summary results are shown in the second table. The values for the independent variables' intercept and slope can be found in the summary output's "Coefficients" column.

B. Smoking is a significant factor in the risk of a stroke is 0.05. Smoking is not a significant risk factor for stroke at the threshold of significance of 0.05. The final line of the summary output table gives the confidence interval for the smoking coefficient as [15.5142,27.1140]. The coefficient for smoking cannot be regarded as having a value different from zero at the 95% confidence level because this confidence interval encompasses the value zero.

Learn more about regression

https://brainly.com/question/13266116

#SPJ4

In greedy method, A locally optimal of solution is generated

Greedy algorithms

Greedy algorithms construct a solution piece by piece, selecting the next portion in such a way that it provides an immediate benefit.

This method never reconsiders earlier decisions. This method is most commonly used to tackle optimization problems. Greedy algorithms employ a problem-solving procedure to progressively build candidate solutions, to approximate the global optimum, by obtaining better and better locally optimal solutions at each stage.

The property states that the globally optimum solution may be determined by first determining the locally optimal solution (Greedy). A Greedy algorithm's decision may be influenced by previous decisions but not by future ones.

Globally Optimal Solution

A globally optimal solution is one where there are no other feasible solutions with better objective function values. A locally optimal solution is one where there are no other feasible solutions in the vicinity with better objective function values.

It makes one Greedy decision after another iteratively, reducing the given problem to a smaller one.

Greedy is an algorithmic paradigm that assembles a solution piece by piece, constantly selecting the next component that provides the greatest evident and immediate advantage.

In greedy method, A locally optimal of solution is generated

To learn more about Greedy Algorithm visit:

brainly.com/question/13197481

#SPJ4

Answer:

Step-by-step explanation:

The height of the arch is given as 8.4 meters from the center, and the desired height at this point is 3.9 meters. Let's call the span of the bridge s, which is the length of the major axis of the ellipse.

We can use the formula for the vertical distance between the foci of an ellipse and a point on the ellipse:

[(distance between foci)^2 - (distance from point to major axis)^2]^(1/2) = distance from point to minor axis

In this case, the distance between the foci is 4.2 meters (half of the desired height of the arch), and the distance from the point to the major axis is 8.4 meters. Therefore, we can substitute these values into the formula as follows:

[(4.2)^2 - (8.4)^2]^(1/2) = 3.9

Solving for s, we find that s = 18.8 meters.

Therefore, the span of the bridge should be 18.8 meters in order to have a height of 3.9 meters at a point 8.4 meters from the center.

I hope this helps! Let me know if you have any further questions.

A decrease in the market demand curve indicates that consumers are willing to purchase fewer units of the good or service at each price point.

A decrease in the market demand curve indicates that the quantity of goods and services demanded by consumers at each price point is decreasing. Put another way, the quantity demanded is inversely related to the price. When the price of a good or service increases, consumers are less likely to purchase it, and as a result, the quantity of the good or service demanded decreases. Conversely, when the price of a good or service decreases, consumers are more likely to purchase it, and as a result, the quantity of the good or service demanded increases. In short, a decrease in the market demand curve reflects a decrease in the quantity of goods and services that consumers are willing to purchase at each price point.

Learn more about curve here

https://brainly.com/question/28793630

#SPJ4

Therefore , Shannon needs around 31 days to finish the event.

Explain the equation.

Two mathematical expressions are considered to be equal if their values line up in an equation. The equality of a number of variables is demonstrated by a mathematical formula. The equivalent ('=') symbol serves as a clue. For instance, 8+2=122 is the formula. The left and right sides of both the equations in the preceding example are equal.

Here,

We are informed that Shannon went 2,912 miles in this instance.

She commutes a daily journey of roughly 95 miles.

We need to figure out how many days it took Shannon to finish the race.

Shannon's time to complete a mile will be used to calculate how many days it took her to complete the race.

Shannon travels 95 miles in a day, which takes time.

Shannon needs one and a half days to travel one mile.

Shannon travels 2,912 miles in time, which is equal to 1/95 * 2,912

Shannon travels 2,912 miles, or 30.65 days, to complete the trip.

Shannon therefore needs around 31 days to finish the event.

To know more about equation, visit

brainly.com/question/10413253

#SPJ4

Answer:

10 x plus 20 x -7=0

23 x

Step-by-step explanation:

10 plus 20-7

23

An independent variableis a variable that is independent of the other factors you are attempting to assess.

An independent variableis a variable that is independent of the other factors you are attempting to assess. Age is just one example of an independent variable. Other elements (such as what they consume, how much they attend school, and how much television they watch) won't alter a person's age. In actuality, you are attempting to determine whether the independent variable affects the dependent variables in any way when you are looking for a link between the variables.

To learn more about independent variable link is here

brainly.com/question/29430246

#SPJ4

A: Categories and frequencies refer to the number of times a particular category or group of data appears in a set of data. For example, if a survey asked people to identify their gender, the categories would be male and female and the frequencies would be the number of people who chose each gender.

Categories and frequencies are two elements of data analysis. Categories refer to the different groups or types of data, such as gender, age, or location. The frequency is the number of times a particular category appears in a set of data. For example, in a survey about gender, the categories would be male and female and the frequencies would be the number of people who chose each gender.

Categories and frequencies are two important elements in data analysis. Categories refer to the different groups or types of data, and frequencies refer to the number of times a particular category appears in a set of data. For example, if a survey asked people to identify their gender, the categories would be male and female, and the frequencies would be the number of people who chose each gender. This type of data analysis is useful for understanding the makeup of a population or the distribution of a particular trait. By analyzing categories and frequencies, trends and patterns can be identified, and decisions can be made based on the data.

Learn more about data here

https://brainly.com/question/14893265

#SPJ4

No, the statement "In spherical geometry, the sum of the angles in a triangle equals 180 degrees." is not true.

The term triangle in geometry refers the polygon with three vertices, sides and angle.

Here we have given the statement "in Euclidean geometry the sum of the angles in a triangle equals 180 degrees"

And we need to find whether this is this also true in spherical geometry.

Basically, the sum of the angles of a spherical triangle is not equal to 180°. Because, we know that the sphere is a curved surface, where locally the laws of the flat Euclidean geometry are good approximations.

Therefore, here in a small triangle on the face of the earth, then the sum of the angles is only slightly more than 180 degrees.

To know more about Triangle here.

https://brainly.com/question/2773823

#SPJ4

1. x² + 2x = 2x + x² is Commutative Property.

2. (3z⁴ + 2z³) - (2z⁴ + z³) = z⁴+ z³ is a Closure Property.

3. (2x² + 7x) - (2y² +6y) = (2y² +6y) + (2x² + 7x) is a Commutative Property.

Commutative Property :

The word commutative is derived from the word commute, which means "to move by car." Therefore, commutative properties deal with numerical shifts. Thus, a particular arithmetic operation is commutative if changing the order of the operands does not change the result of that arithmetic operation. Apart from that, there are other numeric properties: binding properties, distributive properties, and identity properties. they differ from the commutative laws of numbers.

Formula:

1. A + B = B + A

2. A × B = B × A

Closure property:

Closure property can be defined as the closure of a set of numbers by using arithmetic operations and is completed by these operations. In other words, when the operation is performed on any two numbers from the set and the result obtained will be the number from the set itself is considered to be closed. A set either has or lacks closure depending on the given operation. The closure property is applicable for addition and multiplication for most of the forms of numbers. However, for a few subtraction and division as the result might not be the same form of the number. For example, 4 + 5 = 9, then all numbers are natural numbers.

Learn more about Commutative Property:

https://brainly.com/question/778086

#SPJ4

The ANOVA procedure is a statistical approach for determining whether or not the means two or more populations are equal is the correct choice.

Using the five-step approach, perform an ANOVA. The computations are generally organized in an ANOVA table because the computation of the test statistic is involved. The ANOVA table separates the components of data variance into treatment variation and error or residual variation. Since ANOVA tables are also produced by statistical computing tools also have the regular output for ANOVA.

A one-way ANOVA was merely performed on one collected data and the null hypothesis was rejected after an ANOVA F test. Assume we could randomize the ANOVA block design with the same information. This null hypothesis for full equality is sometimes rejected for the randomized complete block design ANOVA. Therefore we understand the use of a randomized ANOVA block if the null hypothesis is denied of a one-way ANOVA but the rejection of a null RBD ANOVA hypothesis isn't conditional mostly on denial of the yet another ANOVA null.

To learn more about the ANOVA visit: https://brainly.com/question/16251917

#SPJ4

Based on the definition of isosceles triangle, the value of x in the given diagram is 72°.

What is an Isosceles Triangle?

Because of this, an isosceles triangle has two equal sides and two equal angles. The Greek words iso (same) and skelos are the source of the name (leg).

Equilateral triangles are those in which all of the sides are equal, while scalene triangles are those in which none of the sides are equal.

Given that, a = 9°, and using the information in the image attached below, we have the following:

m∠1 = a = 9° (base angles)

m∠2 = a + m∠1 = 9 + 9 = 18° (external angle theorem)

m∠3 = m∠2 = 18° (base angles)

m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1 = 180 - (180 - 18 - 18) - 9

m∠4 = 45°

m∠5 = m∠4 = 45° (base angles)

m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3

m∠6 = 180 - (180 - 45 - 45) - 18

m∠6 = 108°

m∠7 = m∠6 = 108° (base angles)

x = 180 - m∠7

x = 180 - 108

x = 72°

Therefore, based on the definition of isosceles triangle, the value of x in the given diagram is: 72°.

Learn more about isosceles triangle

brainly.com/question/2456591

#SPJ1

(a) The singular value decomposition of matrix x is given.

(b) The reduced singular value decomposition of matrix x is given.

The Singular Value Decomposition is a highlight of linear algebra. A is any m by n matrix, square or rectangular. Its rank is r. We will diagonalize this A, but not by X-1AX. The eigenvectors in X have three big problems: They are usually not orthogonal, there are not always enough eigenvectors, and Ax = λx requires A to be a square matrix. The singular vectors of A solve all those problems in a perfect way. Let me describe what we want from the SVD: the right bases for the four subspaces. Then I will write about the steps to find those bases in order of importance. The price we pay is to have two sets of singular vectors, u's and v's. The u's are in RTM and the v's are in R". They will be the columns of an m by m matrix U and an n by n matrix V. I will first describe the SVD in terms of those basis vectors. Then I can also describe the SVD in terms of the orthogonal matrices U and V. (using vectors) The u's and v's give bases for the four fundamental subspaces:

The singular value decomposition (SVD) of a matrix A is the process of factorizing A into the product of three matrices A = U DV^{T} where the columns of U and V are orthonormal and the matrix D is diagonal with positive real entries.Data matrix A is useful to find a low rank matrix which is a good approximation to the data matrix.

The columns of V is called the right singular vectors of A and it normally form an orthogonal set with no assumptions on A. The columns of U is reffered to as the left singular vectors and it also forms an orthogonal set. The orthogonality forms the inverse of A for a square and invertible matrix A which is V D^{-1}U^{T}.

If we want gain better insight of the process, we will need to treat the rows of an n × d matrix A as n points in a d-dimensional space and find the best k-dimensional subspace with respect to the set of points. This means that we will minimize the sum of the squares of the perpendicular distances of the points to the subspace.

To find the best fitting line through the origin with respect to a set of points {xi |1 ≤ i ≤ n} will mean that we will minimize the sum of the squared distances of the points to the line.

For reduced SVD factorization of a non-square matrix A of size m x n can be represented in a reduced format: • For m>n: U is m x n, is n x n, and V is n x n • For m≤n: U is m x m, Σ is m x m, and V is n x m (note if V is n x m, then VT is m x n) The following figure depicts the reduced SVD factorization (in red) against the full SVD factorizations (in gray).

This is the way to calculate SVD and reduced SVD.

To learn more about SVD visit:brainly.com/question/13144048

#SPJ4

The equation "Y < 3x + 1" is a inequality that involves the variables Y and x. The inequality symbol "<" indicates that Y is less than 3x + 1.

Without any additional information about the values of Y and x, it is not possible to determine the specific values of these variables that satisfy the inequality. In order to find the values of Y and x that satisfy the inequality, you would need to either solve the inequality for a specific value of x or set up a table of values and test different combinations of Y and x to see which ones satisfy the inequality.

For example, if you set x = 1, the inequality becomes "Y < 3(1) + 1", or "Y < 4". This means that any value of Y that is less than 4 will satisfy the inequality. On the other hand, if you set x = 2, the inequality becomes "Y < 3(2) + 1", or "Y < 7". This means that any value of Y that is less than 7 will satisfy the inequality.

Without more information, it is not possible to determine the specific values of Y and x that satisfy the inequality "Y < 3x + 1".

In accordance with the information provided, if Monique purchases a $4,700 system of air conditioning on an installment plan with a 15% down payment, $705 will be needed as a down payment.

What kinds of installments are there?

Installment loans come in two varieties: unsecured and secured. An unsecured loan merely requires a promise to repay the obligation; no sort of security is required. Consider credit card, lines of credit, or medical bills. An asset the value of the loan's principal is used as security for an installment loan.

Briefing:

Here,

Total cost = $4700

Down payment = 15% of %4700

Down payment = 15 / 100 * 4700

Down payment = 15 * 47

Down payment = $705

Therefore, a down payment of $705 is needed.

To know more about Installment visit:

https://brainly.com/question/18405252

#SPJ4

The complete question is-

Monique buys a $4,700 air conditioning system using an installment plan that requires 15% down. How much is the down payment?

The total number of cups required to mix the sugar and flour together = 6.5

Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.

Given,

The ratio of sugar to flour = 6:7 = 6x:7x

Cups used for flour = 3.5 = 7x => x = 3.5/7 = 0.5

The cups used for sugar = 6x = 6*0.5 = 3

The total number of cups required to mix the sugar and flour together = 3.5+3 = 6.5

To know more about ratio visit: brainly.com/question/13419413

#SPJ4

The required area of the circle is 50.24cm².

What is a circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, we have the circumference:

8π

Now, calculate for π as follows using the circumference formula (2πr):

8π = 2πr

8π/2π = r

4 = r

Now, calculate the area when r = 4cm (πr²) as follows:

πr²

π(4)²

16π

50.24

Therefore, the required area of the circle is 50.24cm².

Know more about a circle here:

https://brainly.com/question/29618706

#SPJ1

Complete question:
The circumference of a circle is 8π cm. what is the area in square centimeters?

The number of tablets that should be taken for inspection if the permissible relative standard deviation in the measurement is to be

(a) 20.% is 324 tablets

(b) 14% is 181 tablets

(c) 7% is 78 tablets

(d) 3% is 32 tablets.

To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation (RSD) of 20%, we can use the following formula:

n = (RSD * mean)^2 / (variance * (1 - mean))

where n is the number of tablets that need to be inspected, RSD is the permissible relative standard deviation, mean is the proportion of tablets that fail to meet the requirement (in this case, 5.5%), and variance is the variance of the proportion of tablets that fail to meet the requirement.

Plugging in the given values, we get:

n = (20% * 5.5%)^2 / (0.0055 * (1 - 5.5%))

Calculating this expression gives us n = 324 tablets.

To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation of 14%, we can use the same formula, with the value of RSD set to 14%. This gives us n = 181 tablets.

To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation of 7%, we can use the same formula, with the value of RSD set to 7%. This gives us n = 78 tablets.

To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation of 3%, we can use the same formula, with the value of RSD set to 3%. This gives us n = 32 tablets.

It's important to note that these calculations assume that the proportion of tablets that fail to meet the requirement is 5.5%. If the proportion of tablets that fail to meet the requirement has changed (e.g., due to changes in the coating method), then the number of tablets that need to be inspected will also change.

The number of tablets that should be taken for inspection if the permissible relative standard deviation in the measurement is to be

(a) 20.% is 324 tablets

(b) 14% is 181 tablets

(c) 7% is 78 tablets

(d) 3% is 32 tablets.

To learn more about relative standard deviation

visit; brainly.com/question/28561334

#SPJ4

16 units, is the length of a side of the hexagon or square

The perimeter of the square = the Sum of the lengths of 4 sides. = side + side + side + side. = 4 × side.

Therefore, the perimeter of Square = 4s

Consider x to be the perimeter of the square=4x

The perimeter of a regular hexagon is just the sum of all 6 sides. Because in a regular hexagon, the perimeter is just six times one side (6 cm) or 36 cm.

Consider x to be the perimeter of the hexagon=6x

Now, to find the length:

4x + 32 = 6x

6x-4x=32

2x=32

X=16

So, the length of the side = 16 units.

To learn more about the perimeter of a square:

https://brainly.com/question/16500964

#SPJ4

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)

Any quadratic function represented graphically by a parabola

1. If the coefficient of x² is positive, then the parabola open upward

and its vertex is a minimum point.

2. If the coefficient of x² is negative, then the parabola open

downward and its vertex is a maximum point

3. The standard form of the quadratic function is: f(x) = ax² + bx + c

where a, b , c are constants

4. The vertex form of the quadratic function is: f(x) = a(x - h)² + k,

where h , k are the coordinates of its vertex point

∵ The function f(x) = 3(x - 2)² + 1

∵ The f(x) = a(x - h)² + k in the vertex form

∴ a = 3 , h = 2 , k = 1

∵ h , k are the coordinates of the vertex point

∴ The coordinates of the vertex point are (2 , 1)

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)

learn more about quadratic function at:

https://brainly.com/question/25841119

#SPJ1

Yes , it ok to use these numbers to calculate a 99%-confidence interval for the percent of all California residents with a college degree.

This will give us 99 percent confidence interval when using the formula with a sample proportion of 18 and a sample size of 60.

The fraction (frequency) of acceptable confidence intervals that contain the true value of the unknown parameter is represented by the confidence level. In other words, the confidence intervals are calculated from an infinite number of independent samples using the chosen confidence level.

As a result, the fraction of the range containing the true value of the parameter equals the confidence level.

Before evaluating the data, the confidence level is usually chosen. The 95% confidence level is the most usually utilised. However, additional confidence levels, such as 90% and 99%, are also employed.

To learn more about confidence intervals

brainly.com/question/29680703

#SPJ4