What is the y-intercept if the linear function graphed here?
A (2,0)
B (0,-1)
C (0,-2)
D (0,1)

Answer:

first one is C

second is A

third is B

Step-by-step explanation:

The graph corresponding to the equation is 1- C, 2- A, 3- B.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

To find the graph corresponding to the equations

\(\rm y\ =\ x^{4}+3\\\\y\ =\ \left(x-3\right)^{4}\\\\y\ =\ \left(x^{2}-3\right)^{2}\)

A graph has been plotted and attached, that helps in determining the right graph from options available.

The missing graph of the question is also attached.

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The 20th percentile is 20,

The 25th percentile is 22.50.

The 65th percentile is 28.

The 75th percentile is 29.

Given values:

27, 25, 20, 15, 30, 34, 28, and 25.

n = 8

sorting the data gives:

15, 20, 25, 25, 27, 28, 30, and 34.

= 20/100 * 8

= 1.6 ≈ 2

1.6 is rounded to 2, the second value is in the sorted data set is 20 hence the 20th percentile is 20

= 25/100 * 8

= 2

Since 2 is an integer, the mean of the 2nd and the 3rd values in the sorted data set gives the 25th percentile.

( 20 + 25 ) / 2 = 22.5

hence the 25th percentile is 22.50

= 65/100 * 8

= 5.2 ≈ 6

5.6 is rounded to 6, the sixth value is in the sorted data set is 28 hence the 65th percentile is 28

= 75/100 * 8

= 6

Since 6 is an integer, the mean of the 6th and the 7th values in the sorted data set gives the 75th percentile.

( 28 + 30 ) / 2 = 29

hence the 75th percentile is 29

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If the length of the arc that represents communicating with friends is 5 centimeters long,the approximate radius of the circle graph is 2.79 cm, which is answer choice (B).

To find the radius of the circle graph, we need to first calculate the central angle of the sector that represents communicating with friends, since we are given the length of the corresponding arc.

The total percentage of students who use social media to communicate with friends is 32%. To convert this percentage to a fraction of the total circle graph, we divide it by 100:

32% ÷ 100 = 0.32

The central angle of the sector that represents communicating with friends can be calculated as follows:

Central angle = 0.32 × 360° = 115.2°

The length of the arc that represents communicating with friends is given as 5 cm. We know that the length of an arc is proportional to the central angle it subtends and the radius of the circle:

Arc length = (Central angle ÷ 360°) × 2πr

Substituting the values we have:

5 cm = (115.2° ÷ 360°) × 2πr

Simplifying and solving for r:

r = 5 cm × (360° ÷ 115.2°) ÷ (2π)

r ≈ 2.79 cm

Therefore, the approximate radius of the circle graph is 2.79 cm, which is answer choice (B).

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Answer:

94.50$

Step-by-step explanation:

The mode would remain the same because 24 is already a part of the set.

Mode is a measure of central tendency, or an average, in a set of numerical data. It is the most frequently occurring value in a set of data.

For example, consider the following set of numbers: 1, 2, 2, 3, 3, 3, 4, 4, 5. In this set, 3 is the mode since it appears most often. It occurs three times, while the other numbers occur fewer times.

Mode can be used with both continuous and discrete data. Continuous data can be divided into classes, and the mode is the most frequent class. For example, if the numbers above were in the following classes: 1-2, 3-4, 5-6, then 3-4 would be the mode since it occurs the most often.

Mode can also be used with categorical data. In this case, the mode is the most frequent category.

For example, if the data set consists of the categories blue, green, and red, and blue occurs most often, then blue is the mode.

24 is the most frequently occurring number in the set of 24, 58, 24, 24 53. So it is the mode. It appears 3 times, which is more than any other number.

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Answer:

what

the numbers are all messed up

The 6.02 line of best fit is a straight line that best represents the trend or pattern of association between two variables on a scatter plot. It is also known as the regression line.

What is regression line?

In the context of MS Pre-Algebra S2 V16.2, the line of best fit is used to analyze patterns of association between two sets of data. For example, if we have data on the height and weight of a group of individuals, we can use a scatter plot to visualize the relationship between these two variables.

By drawing a line of best fit through the data points, we can see the general trend or pattern of association between height and weight. This line can then be used to make predictions about the weight of an individual based on their height, or vice versa. The line of best fit is a useful tool for analyzing patterns of association in a variety of fields, including statistics, economics, and social sciences.

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Complete question is: The 6.02 line of best fit is a straight line that best represents the trend or pattern of association between two variables on a scatter plot.

The most effective way to use her 4 hours of study time to get the highest possibility or probability of test scores would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

From the information given, it is clear that working on multiple-choice problems is the most effective way to improve her test score. Therefore, the highest possibility or probability of test scores would be achieved by spending the most time working on multiple-choice problems.

The available time for studying is 4 hours, so the maximum time that can be spent working on multiple-choice problems is 4 hours. If she spends 4 hours working on multiple-choice problems, she will not have any time left to review lecture notes.

So, the most effective way to use her 4 hours of study time to get the highest possible test score would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

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Answer: y= 116x

Step-by-step explanation:

Answer:

U can find it using Cos 60 degree

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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To find coterminal angles, you have to either add or subtract 2π. In this case, you would use 8π/4 so there is a common denominator.

Positives:

-3π/4+8π/4 = 5π/4

5π/4+8π/4 = 13π/4

Negative:

-3π/4-8π/4 = -11π/4

-11π/4-8π/4 = -19π/4

In geometry, an angle measure is the length of the angle formed by two rays or arms intersecting at a common vertex.

Using a protractor, angles are measured in degrees (°). Joseph Huddart created the protractor in 1801. It was a more sophisticated protractor.

The angle created at the center of a circle is measured in radians, the unit of angular measurement. It is described as an angle that subtends from a circle's center and intercepts at an arc with a radius equal to the circle's radius. 57.3° is equal to one radian.

Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle, and full rotation are the names of basic angles.

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The probability of getting at least 2 1's in 4 spins is:

1 - 0.7383 = 0.2617 or approximately 26.17%.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

To calculate the probability that at least 2 of the spins result in a 1, we can use the complement rule and subtract the probability that fewer than 2 of the spins result in a 1 from 1.

The probability of getting exactly 0 1's in 4 spins is:

(3/4)⁴ = 0.3164

The probability of getting exactly 1 1 in 4 spins is:

4 * (1/4) * (3/4)³ = 0.4219

So the probability of getting 0 or 1 1's in 4 spins is:

0.3164 + 0.4219 = 0.7383

Therefore, the probability of getting at least 2 1's in 4 spins is:

1 - 0.7383 = 0.2617 or approximately 26.17%.

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Answer:

The answer is 5,120

Step-by-step explanation:

How to find 4% of 4000:

4 times 4000=

16000 divided by 100

160

Then you add 160 to 4000 7 times and you get 5,120.

Answer:

p=c(1+r)^t the population in 7 years will be 5263.72711694

Step-by-step explanation:

p=c(1+r)^t

p=4,000(1+.04)^t

p=4,000(1.04)^t

p=4,000(1.04)^4

p=4679.43424

p= the population you are solving for

c= the initial amount of the population

(1+r)= the rate of change

t= the period of time

Answer:

\( \frac{25}{12} \)

Step-by-step explanation:

1) Use this rule: a ÷ b/c = a × c/b.

\( \frac{25}{4} \times \frac{1}{3} \)

2) Use this rule: a/b × c/d = ac/bd.

\( \frac{25 \times 1}{4 \times 3} \)

3) Simplify 25 × 1 to 25.

\( \frac{25}{3 \times 4} \)

4) Simplify 3 × 4 to 12.

\( \frac{25}{12} \)

Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.

Answer:

1/6

Step-by-step explanation:

Hillary is making a blanket for her mom.

Let the total blanket = 1

Three-fourths of the blanket is green and the rest is yellow.

The fraction for the rest(yellow portion) = 1 - 3/4

The Lowest Common Denominator is 4

Hence,

4 - 3 /4 = 1/4

Two-thirds of the yellow part has her name on it.

The fraction of the blanket that will have her name on it is calculated as

2/3 of 1 /4

= 2/3 × 1/4

= 1/6

The given problem has been proved below using the rules of Congruence.

The given problem can be solved easily if we apply the basic rules of Congruence on the question properly as they are required. Congruence is when two given figures have the same shape and size.

Given that,

3AB=7AD

3AC=7AE

So, by re-arranging them we get the same ratio that is,

AB/AD=7/3

AC/AE=7/3

Hence, we can conclude that,

AB/AD=AC/AE

Also, we can show that ∠BAC and ∠DAE by the property of vertical angles.

But ∠BAC ≌ ∠DAE is also true by the vertical angle theorem in this diagram.

So, SAS property ∆ABC~∆ADE is proved in the end.

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The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Probability is a value used to measure the degree of occurrence of a random event. The word probability itself is often referred to as opportunity or possibility. Probability is generally the chance that something will happen.

The concept of probability has an important role in everyday life, starting from the scientific field, the government sector, the business or industry sector, to small issues such as entering the office or not due to thick clouds which are likely to rain heavily and flood .

In studying probability, there are three keywords that must be known namely experiments, outcomes and events or events.

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Answer:

Step-by-step explanation:

P(j=1st) =4/7

P(j=2nd) =3/6

P(j two in a row) = (4/7)*(3/6)= 12/42 = 6/21 = 2/7

P(j two in a row) = 2/7

While checking for linearity by examining the residual plot, the residuals should be randomly scattered. This means that option C) "be randomly scattered" is the correct answer.

Residuals are the differences between the observed values and the predicted values from a regression model. They represent the unexplained variability in the data. When examining the residual plot to assess linearity, we are looking for patterns or systematic trends that may indicate a departure from linearity. If the residuals exhibit a linear trend (option A), it suggests that the relationship between the predictors and the response variable is not adequately captured by the linear regression model. This indicates a violation of the linearity assumption.

Similarly, if the residuals form a parabolic shape (option B), it suggests the presence of a nonlinear relationship between the predictors and the response. This also violates the linearity assumption.

The correct behavior in a linear regression analysis is for the residuals to be randomly scattered (option C). This indicates that the model captures the linear relationship between the variables, and the unexplained variability is distributed evenly around the zero line. Randomly scattered residuals indicate that the linearity assumption holds, and the model is appropriate for the data. Lastly, being below the X-axis (option D) does not directly indicate linearity. The direction of the residuals (positive or negative) is not the primary concern when assessing linearity, but rather the presence of any systematic patterns. Therefore, when examining the residual plot to check for linearity, the key characteristic we are looking for is random scattering of the residuals.

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we conclude that the difference between functions, simplified,  f(x) and g(x) is written as:

f(x) - g(x) = -x + 12

Here we have 3 functions, which are:

Now we want to find the difference between the functions f(x) and g(x), which is written as:

(f - g)(x) = f(x) - g(x)

Replacing the functions f(x) and g(x) in the above expression, we will get:

f(x) - g(x) =  2x + 8 - (3x - 6)

Now we need to simplify this, we will get:

f(x) - g(x) =  2x + 8 - (3x - 6) = 2x + 8 - 3x + 6 = -x + 12

Then we conclude that the difference between functions f(x) and g(x) is written as:

f(x) - g(x) = -x + 12

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Answer:

D. X=15

Step-by-step explanation:

2x + 3x - 30=45

5x = 75

X=15

a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer:

a) 16 in³

Step-by-step explanation:

Vol (cyl) = πr²h = 54

Vol (cone) =  πr²h/3

54/3 = 16

The missing rectangle has a relative frequency of 0.15, and this is the same as the height.

Let us define what a frequency and relative frequency are

The frequency of a datum is the number of times a given item (datum) appears in the data set.

While the relative frequency is the fraction or proportion of times taken from the whole in which an item/datum occurs.

So, from the image I uploaded, the relative frequency column represents the height of the histogram. Let the height of the missing rectangle be x.

Therefore the heights of the rectangles written from left to right are 0.05, 0.1, 0.15, x, 0.25, 0.2, and 0.1.

From the definition of relative frequency, the total sum of relative frequency is 1, if represented as decimals or fractions it can either be expressed in percentage, or decimal (fractions). In this question, it is represented in decimal, and the sum of all the relative frequency is 1.

0.05 + 0.1 + 0.15 + x + 0.25 + 0.2 + 0.1 = 1 ;

0.85+ x =1

Therefore, x = 1 - 0.85= 0.15

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Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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