If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
04
08
O 12
0 16

From the given Venn diagram the value of P(A or B) is 0.

From the given Venn diagram, we have P(A)=14, P(B)=10 and (P and B)=24.

We know that, P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=14+10-24

P(A or B)=0

Therefore, from the given Venn diagram the value of P(A or B) is 0.

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Answer:

  24 lb

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights.

Let v and k represent Victoria's and Kazuki's original weights. The original ratio is ...

  v/k = 4/5

After the change, the weights are equal:

  v +5 = k -1

Adding 1 to the second equation, we have ...

  v +6 = k

Substituting for k in the first equation gives ...

  v/(v+6) = 4/5

  5v = 4v +24 . . . . . multiply by 5(v+6)

  v = 24 . . . . . . . . . subtract 4v

Victoria's original weight was 24 pounds.

__

Additional comment

Kazuki's original weight was 30 lb. After the changes in weight, both weighed 29 lb.

Answer:

\(\frac{c + d}{2}= \frac{c + d}{2}\)

Step-by-step explanation:

Required

Write the given statement as an equation

To start with, we solve for the average of c and d

\(Average = \frac{\sum x}{n}\)

\(Average = \frac{c + d}{2}\)

Next, is to determine half sum

\(Half\ sum = \frac{c + d}{2}\)

Since both are equal; we have"

\(\frac{c + d}{2}= \frac{c + d}{2}\)

The above shows that the statement is true

Answer:

46666

Step-by-step explanation:

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Answer:

d. A matched-pairs t-interval for a mean difference.

Step-by-step explanation:

d. A matched-pairs t-interval for a mean difference.

There are many situations in which two samples are not independent. This happens when the observations are found as pairs and the observations are related in pairs.

When the observations from two samples are paired either naturally or by design , the difference between two observation of each pair is treated as normal population  with mean ud= u1=u2  and unknown standard deviation, one sample t- test can be performed on them.

This is called matched pairs t- interval for a mean difference.

In this experiment the basketball coach is investigating whether the number of shots taken can be used to predict the mean number of points scored.

We want to estimate the mean change in the number of points scored for each increase of 1 shot taken.

The two samples are not independent.

The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.

Given the following information from the table:

Likes running: 28

Does not like running: 46

Column totals: 74

Enjoys swimming: 62

Enjoys cycling: 90

Row totals: 110

The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:

Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)

From the table, the number of students who do not like running and enjoy swimming is given as 46.

Total number of students is given as 74.

Joint relative frequency = 46 / 74

Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.

Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.

In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

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The coordinates of all four vertices of quadrilateral BPQF, we can use the shoelace formula to find its area. The shoelace formula states that the area of a polygon with vertices (x1, y1), (x2,

A triangle is a closed, two-dimensional geometric shape that has three sides and three angles. It is one of the basic shapes in geometry and can be formed by connecting three non-collinear points. Triangles can be classified based on their side lengths and angles.

To solve this problem, we can use the fact that the area of a triangle is equal to half the product of its base and height. Let's first find the length of the sides of the square.

Since the area of the square is 1320 square centimeters, we can find its side length by taking the square root of 1320:

√(1320) ≈ 36.32

So the side length of the square is approximately 36.32 cm.

Next, let's find the coordinates of points E and F. Since E is the midpoint of AB, its coordinates are:

E = ((0+36)/2, (36+0)/2) = (18, 18)

Similarly, since F is a quarter point of BC close to point B, its coordinates are:

F = (36, (3/4)36) = (36, 27)

Now let's find the equation of line CE. Since we know two points on the line (C and E), we can use the point-slope form of a linear equation to find its equation:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is one of the points on the line. We can find the slope of the line by taking the difference in y-coordinates and dividing by the difference in x-coordinates:

m = (0 - 36)/(36 - 18) = -2

Using the point-slope form with point C, we get:

y - 0 = -2(x - 36)

y = -2x + 72

Similarly, the equation of line DB can be found using points D and B:

m = (0 - 36)/(0 - 18) = 2

y - 0 = 2(x - 0)

y = 2x

Finally, we can find the coordinates of point P by solving the system of equations:

y = -2x + 72

y = 2x

Setting the two expressions for y equal to each other, we get:

-2x + 72 = 2x

4x = 72

x = 18

Substituting x = 18 into either equation, we get:

y = 2x = 36

So the coordinates of point P are (18, 36). To find the coordinates of point Q, we can use the fact that it lies on line DF. Since we know two points on the line (D and F), we can again use the point-slope form of a linear equation:

m = (27 - 0)/(36 - 0) = 3/4

y - 0 = (3/4)(x - 0)

y = (3/4)x

To find the intersection point of lines DF and CE, we need to solve the system of equations:

y = (3/4)x

y = -2x + 72

Setting the two expressions for y equal to each other, we get:

(3/4)x = -2x + 72

(11/4)x = 72

x = 64/11

Substituting x = 64/11 into either equation, we get:

y = (3/4)(64/11) ≈ 14.73

So the coordinates of point Q are (64/11, 14.73).

Hence, Now that we have the coordinates of all four vertices of quadrilateral BPQF, we can use the shoelace formula to find its area. The shoelace formula states that the area of a polygon with vertices (x1, y1), (x2,

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For equal intervals changing in the independent variable, the corresponding dependent value does not change by equal differences, so it is not linear. which is the correct answer would be option (B).

A linear function is defined as an equation in which the highest exponent of the variable is always one.

The table is given in the question.

As per the given table,

The rate of change will be

During the first interval : (20-10)/(9-7) = 10/2

During the second interval : (30-20)/(11-9) = 10/2

During the third interval : (40-30)/(14-11) = 10/3

The corresponding dependent value does not vary by equal differences when equal intervals in the independent variable change, therefore it is not linear.

Hence, the correct answer would be an option (B).

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Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

Answer:B half of the circumference

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

0.0355 = 3.55% probability that exactly 12 of those surveyed feel the state of morals is poor. This means that there is a low probability of finding this exact value.

Step-by-step explanation:

For each adult surveyed, there are only two possible outcomes. Either they think that the state of morals is poor, or they do not. One adult's opinion is independent of other adults. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

40% of adults in a certain country believe that the overall state of moral values is poor.

This means that \(p = 0.4\)

Sample of 20 adults

This means that \(n = 20\)

(a) Find and interpret the probability that exactly 12 of those surveyed feel the state of morals is poor.

This is P(X = 12).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 12) = C_{20,12}.(0.4)^{12}.(0.6)^{8} = 0.0355\)

0.0355 = 3.55% probability that exactly 12 of those surveyed feel the state of morals is poor. This means that there is a low probability of finding this exact value.

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

Answer:

\(\displaystyle \frac{7}{37}\)

Step-by-step explanation:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}\)

I am joyous to assist you at any time.

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

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Answer:

The volunteers should be a group of 10 and meditators should be 5 groups.

Step-by-step explanation:

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

2,535,008

two million , five hundred thirty five thousand, eight

Answer:

11 dollars, 2×3=6 +5 =11

Answer:

a

Step-by-step explanation:

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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Answer:

Step-by-step explanation:

The total number for the sample space for two cubes rolled is 36

1,1; 1,2....; 1,6

2,1; 2,2..; 2,6

. .

. .

6,1; 6,2...; 6,6

Event A (less than 10; 1 - 9)

(1,1); (1,2); (1,3); (1,4); (1,5); (1,6)

(2,1); (2,2); (2,3); (2,4); (2,5); (2,6)

(3,1); (3,2); (3,3); (3,4); (3,5); (3,6)

(4,1); (4,2); (4,3); (4,4); (4,5)

(5,1); (5,2); (5,3); (5,4)

(6,1); (6,2); (6,3)

The sample space has 30 elements

P (A) = 0.83

Event B (sum of numbers on both cubes is a multiple of 3)

Event A already happened, we have Event B as:

(1,2); (1,5)

(2,1); (2,4)

(3,3); (3,6)

(4,2); (4,5)

(5,1); (5,4)

(6,3)

The sample space has 11 elements

P (B|A) = 0.37

Answer:

No, they are not similar.

Answer:

9(w+8)  factor 9

Step-by-step explanation:

factor expression

9w+72  divide both side by 9

9/9w+72/9

w+8

Answer:

9 (w + 8)

I'm sorry I can't explain it but here's the answer