-x + 7y = 8 if x equals 6

The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.

We introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

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Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) \($-(\sqrt[3]{8}) = -2$\)

(b) \($\sqrt[4]{-81}$\) is not a real number

(a) \($-(\sqrt[3]{8})$\):

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because \(2^3 = 8\).

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, \($-(\sqrt[3]{8}) = -2$\).

(b) \($\sqrt[4]{-81}$\):

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

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Answer:

x=145 at 8 minutes

im not sure what tt means but please read my note at the end.

Step-by-step explanation:

if the initial temp is 65 and it increases at a rate of 10 per min the use

65+10(x)

let x be the number of minutes

65+10(8)

65 +80= 145

after 8 minutes the oven will be at 15 degrees. im not sure what tt is suppose to mean, but to find any other solution just plug it into x multiply x by 10 and add it to 65

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Given statement solution is :- a) SQ:

Since PQRS is a parallelogram, SQ is the same as the vector opposite to SP. Therefore, SQ is equal to  a+b .

b) PR:

Again, using the properties of parallelograms, PR is the same as the vector opposite to PQ. Therefore, PR is equal to  a-b.

So, the expressions for the vectors are:

a) SQ = a+b

b) PR =  a-b

If two vectors are acting simultaneously at a point, then it can be represented both in magnitude and direction by the adjacent sides drawn from a point.

Parallelogram law of vector addition states that. if two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors.

To express the following vectors in terms of a and/or b, we can use the properties of parallelograms:

a) SQ:

Since PQRS is a parallelogram, SQ is the same as the vector opposite to SP. Therefore, SQ is equal to  a+b .

b) PR:

Again, using the properties of parallelograms, PR is the same as the vector opposite to PQ. Therefore, PR is equal to  a-b.

So, the expressions for the vectors are:

a) SQ = a+b

b) PR =  a-b

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Answer:

y = 9 + -1x + 5x2

Step-by-step explanation:

Simplifying

4y + -7 = 5x2 + -1x + 2 + 3y

Reorder the terms:

-7 + 4y = 5x2 + -1x + 2 + 3y

Reorder the terms:

-7 + 4y = 2 + -1x + 5x2 + 3y

Solving

-7 + 4y = 2 + -1x + 5x2 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.

-7 + 4y + -3y = 2 + -1x + 5x2 + 3y + -3y

Combine like terms: 4y + -3y = 1y

-7 + 1y = 2 + -1x + 5x2 + 3y + -3y

Combine like terms: 3y + -3y = 0

-7 + 1y = 2 + -1x + 5x2 + 0

-7 + 1y = 2 + -1x + 5x2

Add '7' to each side of the equation.

-7 + 7 + 1y = 2 + -1x + 7 + 5x2

Combine like terms: -7 + 7 = 0

0 + 1y = 2 + -1x + 7 + 5x2

1y = 2 + -1x + 7 + 5x2

Reorder the terms:

1y = 2 + 7 + -1x + 5x2

Combine like terms: 2 + 7 = 9

1y = 9 + -1x + 5x2

Divide each side by '1'.

y = 9 + -1x + 5x2

Simplifying

y = 9 + -1x + 5x2

Arcs of the same length have identical central angles that they subtend. Any inscribed angle that the same arc occupies is twice as large as the center angle of a circle. The semicircle has a 90° inscribed angle. Angle in the alternate segment equals angle between tangent and chord via the point of contact.

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle.

example

The most significant measurement is a circle's radius. By utilizing the appropriate equation and this measurement, it is feasible to ascertain any other geometric feature of a circle .

When we attempt to calculate the area of the circle, this is further demonstrated. Using the equation \(xR^{2}\), the area is determined.

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Answer:

$460.92

Step-by-step explanation:

First year monthly salary = $4,718

Second year annual salary = $62,147

Second year monthly salary = Annual salary / 12

= $62,147 / 12

= $5,178.92

How much more per month will you earn your second year?

Amount of increase in second year monthly salary = Second year monthly salary - First year monthly salary

= $5,178.92 - $4,718

= $460.92

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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Answer:

3/4

Step-by-step explanation:

so if it takes the master baker 6 minutes and they work on the cake for one minute that is 1/6 if it takes the student 12 minutes that is 1/12. so you do

1/12 x 1/6 and you find the LCD so that is 1x2/6x2 which makes 2/12 + 1/12 = 3/12 and you simplify by dividing the top and bottom by 3  which is 1/4 so if they decorated 1/4 of the cake that leaves 3/4 of the cake left.

Answer:

3/4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

8 and 3 have no factors in common, so the least common denominator is their product.

8 * 3 = 24

Answer: 24

Answer:

Step-by-step explanation:

Divide both numbers (30% & 24) by two to get 15% (this will make things easier).         30% / 2 = 15%    &       24 / 2 = 12

Now you know that 15% is 12. To find what value 75% is, you have to divide 75 by 15, which is 5. Multiply 15% and 12 to get your final answer.

15% * 5 = 75%

12 * 5 = 60

Therefore, 75% of this number is 60.

We will have the following:

9.

From the information provided we can obtain the following:

We know that m<3 = 75°.

m<12 = 35°, but by corresponding angles m<4 = m<12 = 35°.

Then:

Now, by opposite angles we have that m<5 = m<8 = 70°.

11. We will have the following from the information provided.

We know that m<3 = 75° and by corresponding angles m<3 = m<1 = 75°.

This behavior demonstrates the theory of social contagion, where individuals are influenced by the actions and emotions of others in a social setting.

The theory of social contagion suggests that individuals in a social setting can be influenced by the emotions, behaviors, and actions of those around them. When people laugh, clap, or cheer in a crowded arena, it creates a contagious atmosphere where the emotions and behaviors spread rapidly among the individuals present. This phenomenon can be attributed to various psychological mechanisms, such as conformity, social facilitation, and emotional contagion.

Conformity plays a role in this scenario, as individuals have a natural tendency to conform to the norms and expectations of the group. When others laugh, clap, or cheer, it signals social approval and acceptance of the speaker's performance. Consequently, individuals may feel inclined to join in, even if they do not genuinely find the speaker entertaining or compelling.

Social facilitation also contributes to this behavior. The presence of a large crowd can heighten arousal and increase individuals' performance on simple or well-practiced tasks. In this case, clapping, laughing, or cheering are relatively easy actions that require minimal cognitive effort, making it more likely for individuals to engage in these behaviors.

Emotional contagion is another factor at play. Humans are wired to empathize and connect with others emotionally. When people around us display positive emotions, such as laughter or excitement, we tend to "catch" those emotions and experience them ourselves. This emotional contagion further reinforces the tendency to follow along with the crowd's actions.

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The most appropriate choice for Probability will be given by - Probability that the two chords intersect =  \(\frac{1}{3}\)

What is Probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here,

Length of the chord = r

Radius of circle = r

So the chord drawn along with the radius forms an equilateral triangle

So the chord makes an angle of 60° with the center.

So if two chords intersects, total angle at the center = 60 + 60 = 120°

Total angle at the circle = 360°

Probability that the two chords intersect = \(\frac{120}{360}\)

                                                                    = \(\frac{1}{3}\)

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The possible outcomes of sample space is 12.

To calculate the total number of outcomes in a sample space, multiply the number of serving options with the number of flavors.

There are 4 flavors that are lime, cherry, blueberry, and  watermelon and 3 serving options that are served plain, mixed with ice cream, or as a drink.

Hence, the possible outcomes will be:

4 x 3 = 12

The outcomes can be represented as lime Italian ice mixed with ice cream, cherry Italian ice served as a drink, Watermelon Italian ice mixed with ice cream, Blueberry Italian ice served plain and likewise.

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Answer: Rectangle

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

The first part of the function is a constant function, so its Fourier Transform is zero. The second part of the function is a linear function, so its Fourier Transform is a constant times

the Fourier Transform of the given function:

F(w) = where and is the Heaviside step function.

To find the Fourier Transform of the given function, we can use the following steps:

Start with the definition of the Fourier Transform:

F(w) = ∫ f(x) e^(-iwx) dx

Substitute the given function into the formula:

F(w) = ∫ 1 - x/2 0 -1 otherwise e^(-iwx) dx

Split the integral into two parts:

F(w) = ∫ 1 e^(-iwx) dx + ∫ -x/2 e^(-iwx) dx

Evaluate the first integral:

∫ 1 e^(-iwx) dx = -i/w

Evaluate the second integral:

∫ -x/2 e^(-iwx) dx = i/(2w) (e^(-iwx) - e^(iwx))

Add the two integrals to get the final answer:

F(w) =

The given function is a piecewise function, so we need to use the Heaviside step function to evaluate the Fourier Transform. The Heaviside step function is defined as follows:

H(x) = where is a real number.

In this case, the Heaviside step function is used to represent the two parts of the given function. The first part of the function is zero for

and one for. The second part of the function is zero for and

The Fourier Transform of a piecewise function can be found using the following steps:

For each part of the function, find the Fourier Transform of the function.

Add the Fourier Transforms of each part to get the final answer.

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Answer:

I think the right answer would be 7

Step-by-step explanation:

We got-ta use the equation: CA * BA = DA²

CA = 15 + BA

DA² = 8² = 64

=> (15 + BA) BA = 64

Subtract 15 from each side:

BA(BA) = 49

BA² = 49

Now take the square root of each side

BA = 7

Hope this helps!

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

a. the number of patients in a hospital

A discrete random variable is a variable that can only take on a finite or countably infinite set of distinct values. In this case, the number of patients in a hospital can only be whole numbers (e.g., 0, 1, 2, 3, etc.), which is a countable set of values. Therefore, it is a discrete random variable.

b. the average amount of electricity consumed

The average amount of electricity consumed is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range, and it is not restricted to specific distinct values.

c. the amount of paint used in repainting a building

The amount of paint used in repainting a building can be measured in continuous quantities (e.g., liters or gallons). It is not restricted to specific distinct values, and therefore, it is not a discrete random variable.

d. the average weight of female athletes

Similar to the average amount of electricity consumed, the average weight of female athletes is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range and is not restricted to specific distinct values.

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

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Answer:

You put a dot in the middle of FG and call it z

Step-by-step explanation:

Answer:

Step-by-step explanation:

The midpoint of a segment FG is the average of the coordinates of points F and G. The midpoint is just (x1+x2)/2, (y1+y2)/2

Answer: 3.65

Step-by-step explanation:

j=20

Substitute: 20-16.35

20.00-16.35=

3.65

Answer:

3.65

Step-by-step explanation:

Looking at the equation j - 16.35, if we substitute j for 20, the new equation will look like this:

Therefore, the value of the expression is 3.65 if we were to substitute j for 20.

1/5 or -1/9 would both be correct

Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

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Answer: 8

Step-by-step explanation:

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

\(3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}\)

Write the fraction using a power of 3.

\(3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2\)

This assumes you know about negative exponents:  \(a^{-n}=\frac{1}{a^n}\)

If the length of garden is 9 feet ,breadth is 4 feet and Mark need to fence four gardens then the total fencing will be 104 feet.

Given The number of gardens is 4. The length and breadth of a garden is 9 feet and 4 feet.

We have to find total length of fencing Mark needs to surround all 4 gardens. Perimeter is the sum of all the sides of the rectangle. Length of opposite side of rectangle must be equal.

Perimeter of a rectangle=2(l+ b)

perimeter of 1 garden=2(l+ b)

=2(9+4)

=2*13

=26 feet

perimeter of 4 gardens will be 4*26

=104 feet.

Hence the total length of fencing that Mark needs to do is 104  feet.

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Distance changing at rate of 3.94 inches/sec.

Given,

In the question:

The wall is decreasing at a rate of 9 inches per second.

and this distance is currently 61 inches.

The ladder is 152 inches long.

To find out how fast is the distance changing

Now, According to the question:

we know that

h² + b² = L²   …1

h² + b² = 152²

Apply here derivative w.r.t. time

2h dh/dt + 2b db/dt = 0

h dh/dt + b db/dt = 0

db/dt = - h/b × dh/dt     ….2

Height of distance is currently = 61 inches

Substitute the values

h² + b² = L²

61² + b² = 152²

b² = 19383

b = 139.223

and ,we know dh/dt = -9 inch/sec

From equation 2

db/dt = -61/139.223  (-9)

db/dt = 3.94 inches/sec

Hence, Distance changing at rate of 3.94 inches/sec.

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