For what value of x must the quadrilateral be a parallelogram?
X=
(3x+28
work:

Answer:

24

Step-by-step explanation:

96/2=48/2=24

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true so, here The probability of the type I error.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true so, here The probability of the type I error.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

option  1.) and 3.) are correct.

What is congruent ?

Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. We will see that they will superimpose, or be positioned entirely on top of, one another. This demonstrates the congruence of the two circles. The circles below may be put perfectly over one another and have the same radius, hence they are considered to be congruent.

These two statements are true:

Figure 1 and 4 are not congruent because figure 1 cannot be maped into figure for using a sequence of rigid transformations because figure 1 and 4 don't have same length of the sides.  

Figure 1 and 3 are not congruent because figure one cannot be mapped on to figure 3 using a sequence of rigid transformations becuase figure 3 is large than by figure 1 by its sides.

To know more about congruent https://brainly.com/question/27848509

#SPJ1

Answer:

pls rate as brainliest

Step-by-step explanation:

–28 + 7 = – 21

The margin of error is approximately 0.3

To answer the question, we must figure out what margin of error corresponds to a 90% confidence level. The definition of the margin of error used to create confidence intervals for the population mean is as follows;

Mean = μ = 20.6

Standard deviation = σ = 2.7

Number of students = n = 225

the result of the sample mean's standard error and the accompanying z-score. The formula used to compute the sample mean's standard error is;

⇒  σ / √n

The z-score associated with a 90% confidence level:

From the given table z-score is 1.645

Therefore, the margin of error;

σ / √n * 1.645 = 2.7/√225 * 1.645

                      = 0.296

Hence, the margin of error is approximately 0.3

To learn more about z-score click here:

brainly.com/question/15016913

#SPJ4

Answer:

Approximately 0.3 of an error is allowed.

Given data in question

Confidentialevel=90%

Mean = μ = 20.6

2.7 as the standard deviation

N = 225 students are enrolled.

the outcome of the standard error of the sample mean and the corresponding z-score. The formula used to determine the standard error of the sample mean is;

⇒ σ / √n

The z-score for a 90% degree of confidence is:

Z-score for the provided table is 1.645.

Consequently, the error margin;

σ / √n * 1.645 = 2.7/√225 * 1.645

= 0.296

Consequently, the margin of error is roughly 0.3.

Answer:

6/7 or 0.857

Step-by-step explanation:

√36/√49

so 6 and 7 are the root respectively

Answer: hahahah don't

Step-by-step explanation:

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

\(y= -\frac{2}{5}x+20\\\)

The slope is, \(-\frac{2}{5}\) and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

\(y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20\)

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: https://brainly.com/question/7196312

#SPJ9

The student made mistakes in combining like terms and dividing by the incorrect value. The correct solution to the equation 3(a-2)+14=8-6a is a = 0.

The student made a mistake in their solution for solving the equation 3(a-2)+14=8-6a.

Here's a step-by-step explanation of the mistake and the correct solution:

1. The student correctly distributed the 3 to both terms inside the parentheses: 3a - 6 + 14 = 8 - 6a.
2. However, when combining like terms, they made an error. They added 6a to both sides of the equation instead of subtracting it from both sides.
  - The correct step would be: 3a - 6 + 14 + 6a = 8 - 6a - 6a.
  - This simplifies to: 9a + 8 = 8 - 12a.
3. The student then incorrectly combined the constant terms on the right side of the equation, treating them as if they were variables.
  - The correct step would be: 9a + 8 = 8 - 12a.
  - This simplifies to: 9a + 12a = 8 - 8.
  - This further simplifies to: 21a = 0.
4. The student made another mistake when solving for 'a'. They incorrectly divided both sides of the equation by 9, instead of dividing by 21.
  - The correct step would be: 21a = 0.
  - Dividing both sides by 21 gives us: a = 0.

Therefore, the student made mistakes in combining like terms and dividing by the incorrect value. The correct solution to the equation 3(a-2)+14=8-6a is a = 0.

Complete question: content loaded

A student provided the following solution for solving an equation what mistake did the student make

3(a-2)+14=8-6a

3a+12=8-6a

9a+12=8

9a=-4

a=-4/9

To know more about equation refer here:

https://brainly.com/question/32439147

#SPJ11

The point-slope form equation y - 2 = -3/4(x - 6) has been plotted in the graph shown in the image attached below.

In Mathematics, the point-slope form simply refers to a standard equation which can only be used when the slope of a straight line and one of the points on this line are known.

Mathematically, the point-slope form of a straight line is represented by this equation:

y - y₁ = m(x - x₁)

Where:

The point-slope form equation is given as follows:

y - 2 = -3/4(x - 6)

From the information above, we can logically deduce the following parameters:

Point at y = 2.

Point at x = 6.

Slope, m = -3/4

For this exercise, you should input the x-value, y-value, and slope (m) into your point-slope form graph as shown in the image attached below.

Read more on slope here: https://brainly.com/question/25239789

#SPJ1

Answer:

Step-by-step explanation:

One

Length = 16

Width = 1

Two

<P = 120

<Q = 30

<R = 30

Three

xy = 45

yz = 1

Four

<1 = 45

<2 = 45

80.5% of the men surveyed shop online.

According to my knowledge, 40 out of 75 people surveyed were men. Of those 40 men, 32 said they shopped online. This means that 32 / 40 = 80% of the men surveyed shop online.

To round this answer to the nearest tenth of a percent, we need to multiply 80 by 100 and then add 0.5. This gives us a rounded answer of 80.5%.

It is important to note that this is just a sample of the population, and the actual percentage of men who shop online may be different. However, this data does provide some insight into the online shopping habits of men.

for more such questions on percentage

https://brainly.com/question/843074

#SPJ8

Note- The complete question is this

A survey stopped men and women at random to ask them where they purchased

groceries, at a local grocery store or online.

Grocery Options:

              Store

Men          40    

Total         75

A linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.

The mathematical assertion that two linear expressions, or a linear expression and a constant, are not equal is made via a linear equation.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A mathematical equation must take the form y=mx+b in order to be classified as a linear function (in which m is the slope and b is the y-intercept).

Therefore, a linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.

Know more about linear equations here:

https://brainly.com/question/2030026

#SPJ4

Answer:

10

Step-by-step explanation:

30 boys

1/2 play football

30/2 = 15

15 boys left

2/3 play rugby

15 x 2/3 = 10

Answer:

  f(f(n)) = -n^4 -8n^2 -20

Step-by-step explanation:

As with any function evaluation, you substitute the argument for the variable and simplify.

  \(f(f(n))=f(-n^2-4)=-(-n^2-4)^2-4\\\\=-(n^4+8n^2+16)-4\\\\\boxed{f(f(n))=-n^4-8n^2-20}\)

\(\\ \rm\hookrightarrow f(f(n))\)

\(\\ \rm\hookrightarrow f(-n^2-4)\)

\(\\ \rm\hookrightarrow -(-n^2-4)^2-4\)

\(\\ \rm\hookrightarrow -(n^4+8n^2+16)-4\)

\(\\ \rm\hookrightarrow -n^4-8n^2-16-4\)

\(\\ \rm\hookrightarrow -n^4-8n^2-20\)

An open circle is used to represent x > 4 as we do not want to include 4 in our solution set.

Treat the <, ≤, >, or ≥  as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either or. Graph the equation as a solid line if the inequality is either or. The xy plane is split along this line into two regions: one that fulfils the inequality and the other that does not.

Using the open instructions when we plot the inequality we see that x > 4 has an open circle at 4.

This indicates that we do not want to include 4 in our solution set.

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

Rewrite both fractions with a common denominator:

8/11 x 5 = 40/55

3/5 x 11 = 33/55

40/55 is greater than 33/55 so 8/11 is greater than 3/5

The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.

Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.

In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).

To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.

Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

To learn more about Sociology link is here

brainly.com/question/25099331

#SPJ4

The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

Answer

1. 9

1. 13

1. 147

1. 7/3

1. 9

Step-by-step explanation:

Algebraic equations

1. 2x=18

2. x-5=8

3. (x/7)=21

4. 3x+5=12

5. 2x=18

The area of the region bounded by the parabola, the tangent line to this parabola at the point, and the axis is 20/3.

The area of the region bounded by the parabola y=x2, the tangent line to this parabola at (1,1) and the x-axis can be calculated by using integration.

First, we note that the equation of the tangent line to the parabola at (1,1) is y=2x-1. Then, the area of the region can be calculated by the equation:
A=∫01 (2x-1) - (x2)dx
A=∫01(x-x2)dx
A=∫01x dx - ∫01x2dx
A= (x2/2) |01 - (x3/3) |01
A=(1/2) - (1/3)
A=1/6
Let the given parabola be\(y^2=4ax\).

So, the equation of tangent at

\((a,a^2/4) is y=a^2/4 + (x-a)\).On solving this with the parabola equation we get,

x=3a/2, y=3a/2

So, the x intercept is 3a/2 and hence the required area is :∫\((3a/2)(a^2/4)\)dx + ∫\((a/2)(3a/2 - a^2/4)\) dx...on solving this, we get,\(20a^2/12 = 5a^2/3\)= 20/3.

For more such parabola related questions

https://brainly.com/question/29635857

#SPJ11

Answer:

So?

Step-by-step explanation:

And why did he/she sells

f(x) function increases faster.

From the question, we have

g(x) =5/2x-3

At x =0, g(x) = -3

At x =1, g(x) = -1

Hence, f(x) function increases faster.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ1

The volume formed by rotating the region enclosed by `y = 4x` and `y = 16` about the line `y = 16` is `2048π/3`.

To find the volume formed by rotating the region enclosed by `y = 4x` and `y = 16` about the line `y = 16`, we need to apply the Washer Method. Here, we consider the area of the disk perpendicular to the axis of rotation and sum them up in order to find the total volume. We can find the area of the disk with the following formula:`A = π(R² − r²)`Where R and r represent the radii of the outer and inner circles, respectively. In this case, the line `y = 16` is the axis of rotation and the function `y = 4x` is the outer curve. The inner curve is simply the axis of rotation itself, i.e., `y = 16`.To solve this problem, we first need to find the points of intersection of the two curves.`4x = 16``x = 4`Therefore, the region enclosed by `y = 4x` and `y = 16` is bounded by the lines `x = 0`, `x = 4`, `y = 4x` and `y = 16`.

To apply the Washer Method, we need to integrate with respect to x. The volume of the region is given by:`V = ∫(π(R² − r²))dx``V = ∫(π(16² − 4x² − 16²))dx``V = ∫(π(256 − 4x²))dx``V = π∫(256 − 4x²)dx``V = π[256x − 4(x³/3)]₀^4``V = π(256(4) − 4(4³/3))``V = 2048π/3`Therefore, the volume formed by rotating the region enclosed by `y = 4x` and `y = 16` about the line `y = 16` is `2048π/3`.

To know more about region enclosed visit:-

https://brainly.com/question/32672799

#SPJ11

The age of the earth in seconds is 1.44 × 10¹⁷ seconds

From the question, we are to determine how old the earth is in seconds.

From the given information,

There are about 3.2 × 10⁷ seconds in every year

and

The earth is approximately 4.5 × 10⁹ years old.

To determine how old the earth is in seconds, we will multiply the number of seconds in every year by the age of the earth

That is,

4.5 × 10⁹ × 3.2 × 10⁷

= 4.5 × 3.2 × 10⁹ × 10⁷

= 14.4 × 10⁹ ⁺ ⁷

= 14.4 × 10¹⁶

= 1.44 × 10¹⁷ seconds

Hence, the earth is 1.44 × 10¹⁷ seconds old

Learn more on Calculating age in seconds here:https://brainly.com/question/1641428

#SPJ1

The optimal mix of crops to plant is 1,304 acres of soybeans, 761 acres of corn, and 341 acres of cotton, which will maximize the family's total profit.

3.51 Farm Management problem: Formulate and solve a linear programming model for this problem in a spreadsheet.The given table contains information about the labor-hours and fertilizer needed per acre and the total expected profit per acre for the potential crops under consideration.

Given that Dwight, Hattie, and their children can work at most 6.500 total hours during the upcoming season and have 200 tons of fertilizer available. We need to find the mix of crops that maximizes the family's total profit.Let x1, x2, and x3 be the amount of acres for soybeans, corn, and cotton, respectively.

We need to maximize the profit, which is given byZ = 70x1 + 60x2 + 90x3subject to the constraints given below:2x1 + 3x2 + 4x3 <= 6,500 (labor-hours constraint)3x1 + 2x2 + 4x3 <= 200 (fertilizer constraint)x1, x2, x3 >= 0 (non-negativity constraint)The linear programming model for this problem can be written as follows:maximize Z = 70x1 + 60x2 + 90x3Subject to:2x1 + 3x2 + 4x3 ≤ 6,5003x1 + 2x2 + 4x3 ≤ 200x1, x2, x3 ≥ 0Solving the problem using a spreadsheet, we get the following optimal solution.

 The optimal solution is obtained for x1 = 1,304 acres of soybeans, x2 = 761 acres of corn, and x3 = 341 acres of cotton.

for more questions on optimal mix

https://brainly.com/question/31744164

#SPJ8

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

Learn more about crank angle value here:

https://brainly.com/question/32140084

#SPJ11