The graph shows a line and two similar triangles.What is the equation of the line?

Answer:

−7

Step-by-step explanation:

Answer:

Let's solve your inequality step-by-step.

3(−4+x)<−33

Step 1: Simplify both sides of the inequality.

3x−12<−33

Step 2: Add 12 to both sides.

3x−12+12<−33+12

3x<−21

Step 3: Divide both sides by 3.

3x/3  < −21  /3

x<−7

Answer:

x<−7

Step-by-step explanation:

Answer:

each person would get 6.66 dollars and 2 dollars would remain left iver

Answer:

Step-by-step explanation:

The value of the expression 133 ÷ 6 lies between 22 and 23. To determine the range of whole numbers between which the value of the expression lies, we can perform the division of 133 by 6 using a calculator or long division.

The quotient obtained is 22 with a remainder of 1. This means that the value of 133 ÷ 6 is slightly greater than 22 but less than 23. Therefore, we can say that the value of the expression lies between 22 and 23, inclusively.

In the case of 133 ÷ 6, the quotient obtained is 22, which means that 6 can be divided into 133 twenty-two times without any remainder. However, there is a remainder of 1, which means that the value of the expression is slightly greater than 22. This is because the remainder indicates that there is still one more part of 6 that can be divided into 133, which results in a fraction of 1/6. Therefore, we can conclude that the value of the expression lies between 22 and 23, inclusively, with a fractional component of 1/6.

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Answer:

total commission= $2,600

Step-by-step explanation:

Giving the following information:

He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.

First, we need to structure the total commission formula:

total commission= 0.10*x + 0.15*y

X= sales up to $5,000

Y= sales from $5,001 to infinity

Now, sales for $19,000 sales:

total commission= 0.1*5,000 + 0.15*14,000

total commission= $2,600

The derivative of the function \(f(x) = x^2 - 3x^4 + 7\)  is given by \(f'(x) = 2x - 12x^3.\)

To evaluate the derivative of the function f(x) = \(x^2 - 3x^4 + 7,\) we can differentiate each term with respect to x using the power rule for derivatives.

Applying the power rule, we differentiate each term as follows:

\(d/dx (x^2) = 2x^(2-1) = 2x\)

\(d/dx (-3x^4) = -3 * 4x^(4-1) = -12x^3\)

d/dx (7) = 0 (the derivative of a constant is always zero)

Now, summing up the derivatives of each term, we have:

\(d/dx (x^2 - 3x^4 + 7) = 2x - 12x^3 + 0\)

Simplifying the expression, we obtain the derivative of f(x):

\(f'(x) = 2x - 12x^3\)

Therefore, the derivative of the function f(x) =\(x^2 - 3x^4 + 7\) is given by f'(x) \(= 2x - 12x^3.\)

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It should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.

It should be noted that the information is that we should rewrite the equation y=3(x-5)² +1 in another form.

This will be illustrated as:

y = 3(x-5)² + 1.

It should be noted that (x - 5)² will be:

= (x - 5)(x - 5)

= x² - 5x - 5x + 25

= x² - 10x + 25

y = 3(x-5)² + 1.

y = 3(x² - 10x + 25) + 1

y = 3x² - 30x + 75 + 1

y = 3x² - 30x + 76

In conclusion, it should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.

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The graph of the function is shown below

The range of a function is the set of all output values (Y-values).

From the graph, the graph is discontinuous on y= 0

Hence there is no output at y = 0

This implies that the range of the function is all real numbers except y = 2

That is

Both of these factors increase the power of the statistical test and make it easier to detect a difference between the sample mean and the population mean.

The question is asking which set of sample characteristics has the greatest likelihood of rejecting the null hypothesis,

given that there is a 3-point difference between the sample mean and the original population mean.

The answer choices are not mentioned, so I cannot provide a specific answer.

However, generally speaking, a larger sample size (n) and a smaller standard deviation (s) would increase the likelihood of rejecting the null hypothesis.

This is because a larger sample size provides more information about the population, while a smaller standard deviation indicates less variability in the data.

Both of these factors increase the power of the statistical test and make it easier to detect a difference between the sample mean and the population mean.

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Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.

The sign before the blank is "+" (Example: +300). (b) The value of the portfolio with European put options increases as the stock price decreases, providing a protective benefit to the overall portfolio.

The sign before the blank is "+" (Example: +300).

(b) The value of the portfolio with European put options increases as the stock price decreases. The put options provide a protective benefit to the portfolio, as they allow the holder to sell the stock at a predetermined price (strike price).

When the stock price is below the strike price, the put options become valuable as they enable the investor to sell the stock at a higher price than the market value. However, if the stock price is above the strike price, the put options have no value and do not contribute to the portfolio's overall worth.

Therefore, the benefit of the put options is realized when the stock price is below the strike price, and it diminishes as the stock price rises above the strike price.

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Answer:25 %

Step-by-step explanation:

Given

Last month count of chicken was \(20\)

The current count of chicken is \(25\)

The percentage increase is given by

\(\Rightarrow \dfrac{\text{Present value-Actual value}}{\text{Actual value}}\times 100\)

Putting values

\(\Rightarrow \%=\dfrac{25-20}{20}\times 100=\dfrac{5}{20}\times 100\\\\\Rightarrow \%=25\%\)

Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.

This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by  After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.

Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.

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Answer:

B 50

Step-by-step explanation:

16/20 = 0.8

24/30 = 0.8

40/50 = 0.8

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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The Roman numeral number I means the number "1".

In roman numerals, the counting is represented by using the basic English alphabets in the Upper Case.

The roman numeral I means the number "1". For representing 10 we use "X".

When we have to write 1, 2, 3 we use I, II, III respectively and when we use want to show 5 we use "V" in roman numerals. More English letters like L, C etc. are also used to depicts certain other big numbers in the roman numbers. It is to be noted that one alphabet cannot be used more than three times in an number.

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Answer:

x = 5

Step-by-step explanation:

15-x=2x

Add x to each side

15-x+x = 2x+x

15 = 3x

Divide each side by 3

15/3 = 3x/3

5 =x

Answer:

5

Step-by-step explanation:

15=3x

5=x

Answer:

y=0

Step-by-step explanation:

8^3 8^-5 8^y= 8^-2

We know that a^b * a^c = a^(b+c)

8^(3-5+y) = 8^-2

The bases are the same so the exponents must be the same

-2+y = -2

y = 0

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear function is a line which, in slope-intercept form, follows

y = mx + b,

where m is the slope and b is the y-intercept.

The only one that follows that form is B. B can be rewritten as

\(y=\frac{1}{3}x+2\)

and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.

A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.

B is the one you want.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

Below are just a few examples of demographic variables that can be measured at the interval level i.e. age, income, years of education, time spent, rating scale.

At the interval level of measurement, variables are measured on a scale with equal intervals between values, but without a true zero point. Several demographic variables can be measured at the interval level. Here are some examples:

Age: Age can be measured at the interval level, as the difference between two ages is meaningful (e.g., the difference between 20 and 30 is the same as the difference between 40 and 50).

Income: Income can be measured at the interval level, as the differences between income brackets or salary ranges are meaningful. However, it's important to note that income often has a skewed distribution and may be better analyzed using logarithmic transformations or categorized into income groups.

Years of Education: The number of years of education can be measured at the interval level. It represents the difference between educational levels (e.g., the difference between 10 years of education and 12 years of education).

Time Spent: Variables related to time spent on activities, such as time spent watching television per day or time spent exercising per week, can be measured at the interval level. The differences in time intervals are meaningful.

Rating Scales: Likert-type scales, where respondents rate their agreement or disagreement on a statement using a scale (e.g., strongly agree, agree, neutral, disagree, strongly disagree), can be considered as interval level measurements. Although the individual responses are ordinal, the overall scale can be treated as interval when analyzing data.

It's worth noting that some of these variables, although measured at the interval level, may be treated differently in statistical analysis depending on the specific research question and context.

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Answer:B

Step-by-step explanation: y=x+2

a)The percent of women in the active group were at or below their pre-pregnancy weight at 12 months postpartum is 0.7794

b) The probability that a control group woman was at or below her pre-pregnancy weight at 12 months is 0.5520

What is Percent and Probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

A ratio or value that may be stated as a fraction of 100 is called a percentage.

a) Given,

mean = 0.2

standard deviation = 15.4

P(X < 12) = P((x-u)/s < (12 - 0.2)/15.4)

= P(z < 0.77)

= 0.77935 [since from z table]

= 0.7794

b) Given that,

in the active group, the percentage of women with weight above no more than 2lbs is

=P(X<2)=P(Z<2-(-2)/15.4)

=P(Z<0.2597)

=0.6025

hence the % of the GDM women in the program will be expected to be no more that 2lbs, above their pre-pregnancy weight

= 0.8 x 0.6025+0.2 x 0.3499

=0.5520

a) At 12 months postpartum, 0.7794 of the women in the active group were at or under their pre-pregnancy weight.

b) A control group participant's likelihood of being at or below her pre-pregnancy weight at 12 months is 0.5520.

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The values of x such that (8, x, −10) and (2, x, x) are orthogonal are x = 2, 8.

Two vectors are orthogonal if their dot product is equal to zero. The dot product of two vectors (a₁, a₂, a₃) and (b₁, b₂, b₃) is given by:

a₁b₁ + a₂b₂ + a₃b₃ = 0

So we need to find x such that the dot product of (8, x, −10) and (2, x, x) is zero:

(8)(2) + (x)(x) + (−10)(x) = 0

16 + x² − 10x = 0

This is a quadratic equation, which we can solve by factoring or using the quadratic formula:

x² - 10x + 16 = 0

(x - 2)(x - 8) = 0

x = 2 or x = 8

Therefore, the values of x such that (8, x, −10) and (2, x, x) are orthogonal are x = 2, 8.

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Answer:

256

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 5 and the y-intercept is -1. Therefore, the equation of the line is:

y = 5x - 1

This means that for any value of x, we can find the corresponding value of y on the line by plugging in x and solving for y. For example, if x = 2, then:

y = 5(2) - 1 = 9

So the point (2, 9) is on the line.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

\(m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2\)

So the equation of the line using point (-1,4) is

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