Please help me and hurry! Its due on Thursday!



Translate the sentence into an equation.

Six times the sum of a number and 5 equals 7.

Use the variable w for the unknown number.​

Answer:

6

Step-by-step explanation:

Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3

Answer:

\( f'(x) = {e}^{x}( \sin x + \cos x ) \)

Step-by-step explanation:

\(f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) \)

Answer:

Step-by-step explanation:

Given the inequality expression |x| < a. The two cases for solving the expression are x<a and -x < a (or x>-a)

Note that the absolute value of a number will return both its positive and negative value. That's why the value of x i.e |x| returns both x and -x in the expression above.

The connecting word of the expression is that 'the absolute value of variable x is less than a' where a can take any value.

The equation of the regression line is: y = -0.7308x + 19.1923 & to graph the data and the best-fit line we will put the values in a table as below: x|y|xy| x²| 5 | 7 | 35 | 25| 7 | 11 | 77 | 49| 11 | 15 | 165 | 121| 13 | 3 | 39 | 169

Given the set of points as(5, 7), (7, 11), (11, 15), (13, 3)

The equation of the line is given as `y = mx + c`

where m is the slope of the line and c is the y-intercept.

We need to find the value of m and c to determine the equation of the line.

The formula to calculate the slope of the line is given as:

m = [(n * Σ(xy)) − (Σx * Σy)] / [(n * Σ(x²)) − (Σx)²]

where n is the number of data points.

For x = 5,

y = 7,

xy = 35

For x = 7,

y = 11,

xy = 77

For x = 11,

y = 15,

xy = 165

For x = 13,

y = 3,

xy = 39

Σx = 36

Σy = 36

Σ(xy) = 316

Σ(x²) = 414

Now substituting the values of x, y, Σx, Σy, Σ(xy) and Σ(x²) in the formula of slope we get:

m = [(4*316) - (36*36)] / [(4*414) - 36²]

m = -0.7308

The formula to calculate the y-intercept is given as:

c = (Σy − mΣx) / n

Substituting the values we get:

c = (36 - (-0.7308 * 36)) / 4c

  = 19.1923

Therefore the equation of the line is:

y = -0.7308x + 19.1923

To graph the data and the best-fit line we will put the values in a table as below:

x|y|xy| x²| 5 | 7 | 35 | 25| 7 | 11 | 77 | 49| 11 | 15 | 165 | 121| 13 | 3 | 39 | 169

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4 chocolate and 6 butter cookies are included in a box of cookies. Miguel chooses a cookie at random and consumes it. He then chooses another cookie at random and eats it. He take 10 cookies.

Science, art, statistics, encryption, gaming, gambling, and other industries all make extensive use of randomness. To test hypotheses, for instance, random assignment in randomized controlled trials and pseudorandom or random numbers in computer games like video poker. In order to produce non-deterministic data (such as a series of integers) to seed security algorithms, a TRNG is a function or apparatus based on an unpredictably occurring physical event termed an entropy source. Although chance and randomness are sometimes used interchangeably, they can have different meanings in various scientific contexts as well as in everyday life. Chance specifically has a wider range than randomness, which is frequently interpreted in accordance with more specialized mathematical connotations.

Based on the given condition,

4+6

Calculate the sum.

10

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Answer:

f(x) increases by 900% I believe

Step-by-step explanation:

Answer:

increase 900%.....................

Answer:

Santosh purchased 4 new and 4 used DVDs.

Step-by-step explanation:

From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:

15x+5y=80, where:

x refers to the number of new DVDs

y refers to the number of used DVDs

Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:

15x+5x=80

20x=80

x=80/20

x=4

According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.

(a) As the P-value is less than a = 0.10. So, we reject the null hypothesis.

(b) As the P-value is less than a = 0.01. So, we reject the null hypothesis.

(c) As the P-value is less than a = 0.01. So, we reject the null hypothesis.

(d) As the P-value is less than a = 0.02. So, we reject the null hypothesis.

What is the null hypothesis?

The null hypothesis asserts that no relationship exists between two sets of data or variables under consideration. The null hypothesis states that any empirically observed difference is due solely to chance and that no underlying causal relationship exists, hence the term "null."

Here, we have

(a) one-tail test, Zx= 1.46, and a = 0.10

We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.

The P-value for the right-tailed test is defined as

P(Zx > 1.46) = 1 - P(Zx ≤ 1.46)

= 1 - 0.9276

= 0.0721

As the P-value is less than a = 0.10. So, we reject the null hypothesis.

(b) one-tail test, Zx = -2.48, and a = 0.01

We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.

The P-value for the right-tailed test is defined as

P(Zx < -2.48) = 0.0066

As the P-value is less than a = 0.01. So, we reject the null hypothesis.

(c) two-tail test, Zx= -1.92, and a = 0.01

We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.

The P-value for the right-tailed test is defined as

P(|Zx| > -1.92) = 2×P(Zx≤ -1.92)

= 2×0.0274

= 0.0549

As the P-value is greater than a = 0.01. So, we reject the null hypothesis.

(d) two-tail test, Zx = 2.76, and a = 0.02

We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.

The P-value for the right-tailed test is defined as

P(|Zx| > 2.76) =2×P(Zx≤ -2.76)

= 2×0.0029

= 0.0058

As the P-value is less than a = 0.02. So, we reject the null hypothesis.

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Answer:

True

Step-by-step explanation:

Technically:

The y-axis is the one that stands up vertically and the x-axis is the one that lays down horizontally.

Hope this helps.

Answer:

yes that's perfectly true

Answer:

After 15 years the population will be 7,625

Step-by-step explanation:

3.5% of 5,000 = 175

175 x 15 = 2625

2625 + 5,000 = 7625

The population after 15 years should be  8,376

Since the population is 5,000 and it grows 3.5 years and the time period is 15 years

So, the population after 15 years is

\(= 5,000 \times (1 + 3.5\%)^{15}\\\\\)

= 8,376

Therefore, we can conclude that The population after 15 years should be  8,376

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The value of x is 15

If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.

∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .

Thus

∠1 + ∠2 = 90°

x° + (3x+30)° = 90°

x + 3x + 30 = 90

4x = 90-30

4x = 60

x = 15

Therefore the value of x is 15.

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Step-by-step explanation: (-2,-4)

Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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Answer:

20

Step-by-step explanation:

so we need to see that

3/4 x ? = 15

so we say

3 x ? = 15x4

? =60/3

?= 20

The number

To determine where a number is in relation to another number on a number line, we need to compare their positions.

If is seven units to the left of , we can represent this as: = - 7. Therefore, is to the right of on the number line.

Similarly, if a number is to the left of another number, it means that it has a smaller value and its representation would have a negative sign. For example, if the number is three units to the left of , we can represent it as: = - 3.

Conversely, if a number is to the right of another number, it means that it has a greater value and its representation would have a positive sign. For example, if the number is five units to the right of , we can represent it as: = + 5.

Thus, we can determine the positions of numbers in relation to each other on a number line by using their distance and direction.

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(-x - 8) - (-6x + 5)

open the parenthesis

-x - 8 + 6x - 5

Re-arrange

-x + 6x -8 -5

5x - 13

Two polynomials simply mean to sum the coefficients of the same powers, if these situations occur. the result of adding two polynomials will always be another polynomial.

A polynomial is described as an expression that consists of variables, constants, and exponents, which might be mixed with the use of mathematical operations along with addition, subtraction, multiplication, and department (No division operation by a variable).

In arithmetic, a polynomial is an expression that includes indeterminates and coefficients, that entail best the operations of addition, subtraction, multiplication, and fine-integer powers of variables. An instance of a polynomial of an unmarried indeterminate x is x² − 4x + 7.

Polynomials are sums of phrases of the form k⋅xⁿ, in which okay is any wide variety and n is a positive integer. for example, 3x+2x-5 is a polynomial. advent to polynomials.

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The wave has:

Period = 3.5 seconds

Frequency = 1/3.5 = 0.29

Amplitude = 42 - 26 = 16 cm

We have,

Period:

The period of a wave refers to the time it takes for one complete cycle of the wave to occur.

T = 1 / f where f represents the frequency.

Frequency:

The frequency of a wave represents the number of complete cycles or oscillations of the wave that occur in a given time period.

f = 1 / T where T represents the period.

Amplitude:

The amplitude of a wave refers to the maximum displacement or distance from the equilibrium position of a particle in the wave.

Now,

The wave has:

Period = 3.5 seconds

Frequency = 1/3.5 = 0.29

Amplitude = 42 - 26 = 16 cm

Thus,

Period = 3.5 seconds

Frequency = 1/3.5 = 0.29

Amplitude = 42 - 26 = 16 cm

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1. The difference of a number and 13: n - 13 (Evaluation with n = 2: 2 - 13 = -11)

2. The product of a number and 11: n * 11 (Evaluation with n = 2: 2 * 11 = 22)

3. The quotient of 36 and a number: 36 / n (Evaluation with n = 2: 36 / 2 = 18)

4. A number increased by 15: n + 15 (Evaluation with n = 2: 2 + 15 = 17)

1. The difference of a number and 13:

Expression: n - 13

Evaluation with n = 2:

Substituting n = 2 into the expression, we have:

2 - 13 = -11

So, the difference of 2 and 13 is -11.

2. The product of a number and 11:

Expression: n * 11

Evaluation with n = 2:

Substituting n = 2 into the expression, we have:

2 * 11 = 22

So, the product of 2 and 11 is 22.

3. The quotient of 36 and a number:

Expression: 36 / n

Evaluation with n = 2:

Substituting n = 2 into the expression, we have:

36 / 2 = 18

So, the quotient of 36 and 2 is 18.

4. A number increased by 15:

Expression: n + 15

Evaluation with n = 2:

Substituting n = 2 into the expression, we have:

2 + 15 = 17

So, when 2 is increased by 15, the result is 17.

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Complete Question:

Polar Bear Hidden Message

Write and expression to match the word sentence. Find your expression in the box to the right. Evaluate the expression using n = 2

1. the difference of a number and 13

2. the product of a number and 11

3. the quotient of 36 and a number

4. a number increased by 15

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

Answer:

104 m²

Step-by-step explanation:

From inspection of the diagram, we can see that the composite figure is made up of a triangle and a rectangle.

Triangle

If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.

Area of a triangle = 1/2 x base x height

⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²

Rectangle

From inspection, the length of the rectangle = 10m and the width = 8m

Area of a rectangle = length x width

⇒ area of the rectangle = 10 x 8 = 80 m²

Composite figure area

Therefore the total area of the figure = area of triangle + area of rectangle

⇒ total area = 24 + 80 = 104 m²

Answer:

104 m^2

Step-by-step explanation:

See attached image.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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False. The Six Sigma DMAIC approach is best suited for number of problems and issues that require a systematic approach and have measurable results. It should not be employed for all problems as some may require a different approach.

The Six Sigma DMAIC (Define, Measure, Analyze, Improve, Control) approach is a systematic process that is used to identify and eliminate defects in processes, products, or services. This approach is best suited for problems and issues that have a structured approach, measurable results, and an opportunity for improvement. However, it should not be employed for all problems as some may require a different approach such as root-cause analysis or process mapping. Additionally, some number of problems may require creative solutions that cannot be addressed using the DMAIC approach. In these cases, alternative approaches such as brainstorming or design thinking should be employed.

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There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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According to the standard Becker criminal decision rule, an individual will be deterred from committing a crime if the expected cost of the crime (probability of being caught times the fine) exceeds the expected benefit (payoff of the crime). The highest probability of getting caught that would still give the individual an incentive to commit the crime is 2/3 (or 66.67%).

Let's calculate the expected cost and expected benefit of the crime for each probability of getting caught:

If the probability of getting caught is 1/2 (50%), the expected cost of the crime is 1/2 x $20,000 = $10,000, and the expected benefit is $20,000.

Therefore, the expected benefit exceeds the expected cost, and the individual would have an incentive to commit the crime.

If the probability of getting caught is 1/3 (33.33%), the expected cost of the crime is 1/3 x $20,000 = $6,667, and the expected benefit is $20,000.

Therefore, the expected benefit exceeds the expected cost, and the individual would have an incentive to commit the crime.

If the probability of getting caught is 1/4 (25%), the expected cost of the crime is 1/4 x $20,000 = $5,000, and the expected benefit is $20,000.

Therefore, the expected benefit exceeds the expected cost, and the individual would have an incentive to commit the crime.

If the probability of getting caught is 2/3 (66.67%), the expected cost of the crime is 2/3 x $20,000 = $13,333, and the expected benefit is $20,000.

Therefore, the expected benefit still exceeds the expected cost, and the individual would still have an incentive to commit the crime.

Therefore, the highest probability of getting caught that would still give the individual an incentive to commit the crime is 2/3 (or 66.67%).

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