Can any one help ? Please can some one help m please help me

Answer:

they are equal to eachother

Yes, Dr. Lawrence is collecting a representative sample.

The term representative sample is a term that is used to describe a group of individuals who are selected from a population and that are meant to represent the population as a whole. The sample that Dr. Lawrence is collecting is representative because she is selecting 55 women and 45 men from the university. This means that the sample is reflective of the proportion of men and women in the university as a whole.

Dr. Lawrence is the director of counseling services at her university. She is planning to conduct a survey of 100 students at the university to see how aware they are of the counseling services that are offered at the university. She wants the proportion of men and women in her sample to reflect the proportion in the university as a whole (55% women and 45% men).

To increase the probability of a representative sample, Dr. Lawrence could use a different sampling method, such as random sampling or stratified sampling, that ensures that all members of the population have an equal chance of being selected for the sample.

Dr. Lawrence plans to stand in the student union and ask people to participate until she has given the survey to 55 women and 45 men. Thus, Dr. Lawrence is collecting a representative sample.

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Identifying the points and applying the ratio, it is found that point X is X = 1.2.

-------------------

Ratio of BX to XF of 3:2 means that:

\(\frac{BX}{XF} = \frac{3}{2}\)

\(\frac{X + 6}{6 - X} = \frac{3}{2}\)

\(2(X + 6) = 3(6 - x)\)

\(2X + 12 = 18 - 3X\)

\(5X = 6\)

\(X = \frac{6}{5}\)

\(X = 1.2\)

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Answer: The answer is 0208333333 (Simplified = .021)

Step-by-step explanation: In fraction form, it's 208333/10000000

Answer:

x > -5

Step-by-step explanation:

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

The roots in simplest form are x=-8+6i and x=-8-6i.

The question is asking you to find the roots of -5x^(2)-80x-140=0 in simplest form by completing the square.

To complete the square, follow the steps below:

1. Divide the coefficient of the x^2 term by 2 and add the result to both sides of the equation:
-5x^2/2 + 80x/2 + 140 = 0 + 5x^2/2

2. Square the coefficient of the x^2 term: (5x^2/2)^2

3. Add this result to both sides of the equation: 5x^2/2 + (5x^2/2)^2 + 80x/2 + 140 = 5x^2/2 + (5x^2/2)^2

4. Rewrite the equation as a perfect square on the left side of the equation: (5x^2/2 + 40x/2)^2 = (5x^2/2 + 40x/2)^2 + 140

5. Take the square root of both sides to solve for x:
5x^2/2 + 40x/2 = ± √140

6. Rewrite the equation as two equations in x:
x = -80 ± √140 / 10

7. Simplify:
x = -8 ± √14  / 1

Therefore, the roots of -5x^(2)-80x-140=0 in simplest form by completing the square are x = -8 ± √14 / 1.
To find the roots in simplest form by completing the square for the equation -5x^(2)-80x-140=0, we need to follow these steps:

1. First, we need to isolate the x terms on one side of the equation. We can do this by adding 140 to both sides of the equation:

-5x^(2)-80x=140

2. Next, we need to factor out the coefficient of the x^(2) term, which is -5:

-5(x^(2)+16x)=-140

3. Now we need to complete the square by adding the square of half of the coefficient of the x term to both sides of the equation:

-5(x^(2)+16x+64)=-140+320

4. Simplify the right side of the equation:

-5(x+8)^(2)=180

5. Divide both sides of the equation by -5:

(x+8)^(2)=-36

6. Take the square root of both sides of the equation:

x+8=±6i

7. Solve for x:

x=-8±6i

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Answer:

(i) False

(ii) Selecting a 5 or a spade are not independent.

Step-by-step explanation:

(i)

Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.

If A and B are independent events then: \(P(A\cap B)=P(A)\times P(B)\)

Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.

Then for events A and B: \(P(A\cap B)=0\)

Thus, the statement is False.

(ii)

In a standard deck of 52 cards there are:

Spades = 13

Diamond = 13

Heart = 13

Clubs = 13

And each of these 13 cards are:

K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A

If a card labelled as 5 is selected then it could also be a Spade.

And if a spade is selected then the card could be labelled as 5.

So, selecting a 5 or a spade are not independent.

The solutions to the system of equations in this problem are given as follows:

(-5,-2) and (2,5).

The equations for the system of equations in this problem are given as follows:

For the solution of the system of equations, the two equations have the same numeric value, hence:

x + 3 = 10/x

x² + 3x = 10

x² + 3x - 10 = 0.

(x + 5)(x - 2) = 0.

The values of x are given as follows:

The values of y are given as follows:

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Considering the plow removed snow at a constant volume per minute, The snow began to fall 3/5 of an hour, or 36 minutes, before noon.

Let's assume that the snow began to fall at time "t" in hours before noon.

From noon to 1 pm, the plow cleared snow for 1 hour, or 60 minutes, and covered a distance of 2 miles.

From 1 pm to 2 pm, the plow cleared snow for another hour, or 60 minutes, and covered a distance of 3 - 2 = 1 mile.

Since the plow removed snow at a constant volume per minute, the amount of snow cleared in the first hour is equal to the amount cleared in the second hour.

Therefore, the ratio of the distance traveled to the amount of snow cleared is constant, and we can write:

Solving for "t", we get:

So the snow began to fall 3/5 of an hour, or 36 minutes, before noon.

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Answer:

48

Step-by-step explanation:

Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48

Answer: 50

Step-by-step explanation:

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

156 carries

Step-by-step explanation:

Given that:

5 games = 498 yards

Number of yards Gained per carry = 4.5 yards

Target number of yards = 1200

Number of yards left to reach target :

1200 - 498 = 702 yards

Number of carries required = number of yards / yards per carry

Number of carries required = 702 / 4.5

= 156 carries

A counter is a variable named "count" that is typically used to keep track of a positive real number or an integer in a programming context. It serves as a tool for counting or incrementing values within a given range.

In programming, a counter is a variable that is used to keep track of a value, often used in loops or iterative processes. The variable is commonly named "count" and serves as a mechanism to increment or decrement values based on certain conditions. A counter is typically initialized with an initial value and is updated within the loop or program logic.

A counter can be a positive number, which means it only takes on values greater than zero. This ensures that the count increases or progresses in a forward direction. Additionally, a counter can also be a real number, allowing it to hold fractional or decimal values. However, it is important to note that in certain programming languages, counters are commonly represented as integers rather than real numbers.

The use of a counter is essential in various scenarios, such as counting occurrences, iterating over a collection of elements, or executing a specific block of code a predetermined number of times. By incrementing or decrementing the counter, programmers can control the flow and repetition of their code. The variable named "count" serves as a convenient and widely recognized way to implement a counter in programming, providing a clear and intuitive reference to the counting mechanism.

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We must graph the line with the equation:

Plotting this line, we get the following graph:

From the graph, we see that:

• the x-intercept is (-2, 0),

• the y-intercept is (0, -1).

• The x-intercept is ,(-2,0) ✓

• The y-intercept is not (0, -4) ,✖,, the correct y-intercept is ,(0, -1), ,✓,.

Ronald Reagan's policies as President of the United States had a significant impact on the country, and opinions about the nature of this impact are often divided.

Some people argue that Reagan's policies had a positive effect on the country, pointing to his efforts to reduce government regulation, lower taxes, and increase defense spending as key factors in driving economic growth. Others, however, see Reagan's policies as having a negative impact on the country, particularly in terms of their impact on social programs, environmental protections, and inequality.
One of Reagan's most notable policy initiatives was his effort to reduce government regulation of the economy. Proponents of this approach argue that reducing government regulation helped to spur innovation and entrepreneurship, driving economic growth and creating jobs. However, critics argue that this approach led to increased pollution, reduced consumer protections, and the prioritization of corporate interests over public well-being.
Another key aspect of Reagan's policies was his focus on lowering taxes. Supporters of this approach argue that lower taxes help to stimulate economic growth and job creation, while opponents argue that they primarily benefit the wealthy and contribute to growing inequality.
Reagan's policies also had a significant impact on social programs, including efforts to cut funding for public education, healthcare, and social services. While some argue that these cuts were necessary to rein in government spending, critics argue that they had a devastating impact on vulnerable populations, exacerbating poverty and inequality.
Overall, opinions about the impact of Reagan's policies on the country are deeply divided, with proponents arguing that his focus on deregulation and lower taxes drove economic growth, while critics argue that his policies contributed to growing inequality and environmental degradation. Ultimately, the long-term impact of Reagan's policies will continue to be debated and studied by economists, historians, and policymakers for years to come.

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The equation of the line parallel to the given line is y + 4x = 22

The given line is y= -4x+1

Slope of the line = -4

Slope of the parallel line= -4

Equation of the line parallel to the given line which passes through C(6,4)

y - 6 = - 4 ( x - 4 )

y - 6 = -4x + 16

y + 4x = 22

Hence the equation of the parallel line is y + 4x = 22

One that stretches on all sides and has no width is referred to in geometry as a line. A straight line is, to put it simply, a line without bends. An non-curved line that extends to infinity on both sides is said to be straight.

The general equation for a straight line is y = mx + c, where m stands for the line's slope and c for its y-intercept. The most frequently used straight line equation is one that has to do with geometry.

The equation of a straight line can be written in a number of different ways, such as point-slope form, slope-intercept form, general form, standard form, etc.

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Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Answer:

3:2

Step-by-step explanation:

Answer:

C 9:4

Step-by-step explanation:

The equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6. Hence, option a is correct.

The function y = sec(6x - π) has vertical asymptotes at the values of x where the denominator of sec(6x - π) becomes zero. The reciprocal of sec(θ) is cos(θ). Because the cosine function has the values π/2, 3π/2, 5π/2, we will insert such an input that we get 0 in denominator.

6x - π = π/2

Solving for x,

6x = π/2 + π

6x = 3π/2

x = (3π/2) / 6

x = π/6

Therefore, the equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6.

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Answer:

  48 = 2⁴ · 3

Step-by-step explanation:

You want the prime factorization of 48.

You recognize that 48 is an even number, so you can divide by 2 and see what's left. You can keep doing that until you get a number divisible by another prime:

  48/2 = 24

  24/2 = 12

  12/2 = 6

  6/2 = 3

3 is prime.

The prime factorization of 48 is ...

  48 = 2⁴ · 3

Kyle spending on this shirt at end up is, $63.07.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Kyle is looking to buy a shirt that normally costs $85.

Here, Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items.

Hence, The discount price is,

⇒ 30% of 85

⇒ 30/100 × 85

⇒ $25.5

So, The price of shirt after discount = $85 - %25.5

                                                       = $59.5

Since, After the discount, Kyle must pay 6% sales tax on the shirt.

Hence, The sales tax is,

⇒ 6% of 59.5

⇒ 6/100 × 59.5

⇒ $3.57

Thus, The amount to pay at endup by Kyle = $59.5 + $3.57

                                                                  = $63.07

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Answer:

d

Step-by-step explanation:

Supplementary angles sum to 180°

Sum the angles A and B and equate to 180m that is

16x - 7 + 21x + 2 = 180

37x - 5 = 180 ( add 5 to both sides )

37x = 185 ( divide both sides by 37 )

x = 5

Thus

∠ A = 16x - 7 = 16(5) - 7 = 80 - 7 = 73° → d

Answer:

x = -1.5 , y = 5.17

Step-by-step explanation:

Solve the system of equation using ELIMINATION (solve for x)

x + 3y = 14

-x + y = 10

Solution

x + 3y = 14 ------- equation 1  * 1

-x + y = 10 ------- equation 2  * 3

x + 3y = 14 ------- equation 3

-(-3x + 3y = 30)------ equation 4

Using the ELIMINATION METHOD.

x-(-3x) + 3y-3y = 14-30

4x = -6

x = \(\frac{-6}{4}\)

x = -1.5

Substuting -1.5 into equation one

x + 3y = 14

-1.5 + 3y = 14

Adding 1.5 to both sides

-1.5 + 1.5 +3y = 14 +1.5

+3y = 15.5

Dividing by the coeffient of y

\(\frac{3y}{3} = \frac{15.5}{3}\)

y = 5.166666666666

y =5.17

Therefore x = -1.5 , y = 5.17

The null and alternative hypotheses in this case would be formulated as follows:

Null Hypothesis (H0): There is no relationship between caffeine consumption per day and episodes of restless sleep.

Alternative Hypothesis (HA): There is a positive relationship between caffeine consumption per day and episodes of restless sleep.

In other words:

H0: β (slope coefficient) = 0

HA: β (slope coefficient) > 0

The null hypothesis assumes that there is no association or correlation between caffeine consumption and episodes of restless sleep. The alternative hypothesis, on the other hand, suggests that there is a positive relationship, indicating that higher caffeine consumption is associated with a greater number of episodes of restless sleep.

These hypotheses would be tested using statistical methods, such as regression analysis, to determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

A and C

Step-by-step explanation:

The inequality that represents the heaviest the packaging can be without exceeding the 50-pound weight limit is 21 + x ≤ 50 and weight of the packaging is less than or equal to 29 pounds.

Let x be the weight of the packaging in pounds. Then the total weight of the item and its packaging is 21 + x pounds. To ensure that the total weight does not exceed the 50-pound weight limit, we can set up the following inequality:

21 + x ≤ 50

We subtract 21 from both sides to isolate x and obtain:

x ≤ 50 - 21

x ≤ 29

Therefore, the weight of the packaging cannot be greater than 29 pounds without exceeding the 50-pound weight limit. To ensure that the item can be mailed by parcel post, the weight of the packaging must be less than or equal to 29 pounds.

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Answer:

The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are always equals. Same goes for angles 2 and 4. The angles in matching corners when two lines are crossed by another line, called the transversal.

Step-by-step explanation:

1. Complementary Angles

Definition

Complementary angles are two positive angles whose sum is 90 degrees.

Examples

For example, complementary angles can be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two acute angles, like ∠MNP and ∠EFG, whose sum is equal to 90 degrees. Both of these graphics represent pairs of complementary angles.

complementary angles example

Complementary Angles Example

2. Supplementary Angles

Definition

Supplementary angles are two positive angles whose sum is 180 degrees.

Examples

For example, supplementary angles may be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two angles, like ∠MNP and ∠KLR, whose sum is equal to 180 degrees. Both of these graphics represent pairs of supplementary angles.

supplementary angles example

Supplementary Angles Example

What is important to note is that both complementary and supplementary angles don’t always have to be adjacent angles.

3. Adjacent Angles

Definition

Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.

Examples

Angles 1 and 2 are adjacent angles because they share a common side.

adjacent angles examples

Adjacent Angles Examples

And as Math is Fun so nicely points out, a straightforward way to remember Complementary and Supplementary measures is to think:

C is for Corner of a Right Angle (90 degrees)

S is for Straight Angle (180 degrees)

Now it’s time to talk about my two favorite angle-pair relationships: Linear Pair and Vertical Angles.

4. Linear Pair

Definition

A linear pair is precisely what its name indicates. It is a pair of angles sitting on a line! In fact, a linear pair forms supplementary angles.

Why?

Because, we know that the measure of a straight angle is 180 degrees, so a linear pair of angles must also add up to 180 degrees.

Examples

∠ABD and ∠CBD form a linear pair and are also supplementary angles, where ∠1 + ∠2 = 180 degrees.

linear pair example

Linear Pair Example

5. Vertical Angles

Definition

Vertical angles are two nonadjacent angles formed by two intersecting lines or opposite rays.

Huh?

Think of the letter X. These two intersecting lines form two sets of vertical angles (opposite angles). And more importantly, these vertical angles are congruent.

Examples

In the accompanying graphic, we see two intersecting lines, where ∠1 and ∠3 are vertical angles and are congruent. And ∠2 and ∠4 are vertical angles and are also congruent.

vertical angles examples

Vertical Angles Examples

Together we are going to use our knowledge of Angle Addition, Adjacent Angles, Complementary and Supplementary Angles, as well as Linear Pair and Vertical Angles to find the values of unknown measures.

Angle Relationships – Lesson & Examples (Video)

32 min

Introduction to Angle Pair Relationships

00:00:15 – Overview of Complementary, Supplementary, Adjacent, and Vertical Angles and Linear Pair

Exclusive Content for Member’s Only

00:06:29 – Use the diagram to solve for the unknown angle measures (Examples #1-8)

00:19:05 – Find the measure of each variable involving Linear Pair and Vertical Angles (Examples #9-12)

Practice Problems with Step-by-Step Solutions

Chapter Tests with Video Solutions

The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

Given that,
To determine the relationship between angles 1, 2, and 3.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Angles 1 and 2 are remote interior angles while angle 3 is a remote exterior angle. So there is a property of a triangle in that the sum of the remote interior angles is equal to the remote exterior angle.
∠1 +∠2 = ∠3.

Thus, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

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Answer: the last one i think if i'm wrong then im so sorry