Use the graph below to make a rough estimate for the slope m and the y-intercept b of the regression line for these points. Click on the magnifying-glass icon at the bottom right corner of the graph to see and enlarged version.

y = x ( x-6) ^2

--------------

x-6

The domain is the values that x can take

The denominator cannot be zero

x-6 cannot equal zero

x-6 =0

x=6

X can be all values but 6

x | x cannot equal 6

To find the x intercepts, set y =0

This means the numerator is equal to zero

0 = x ( x-6)^2

Using the zero product property

x=0 (x-6)^2 =0

x =0 x-6 =0

x=0 x=6

but 6 is not in the domain so x cannot equal 6

The only x intercept is 0

For spinning the spinner one time A could be {1, 2, 3} or, A = {1, 2, 3, 4} is possible.

The set is mathematical model for a collectionof different things;a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables or even other sets.

The given spinner is divided into 8 equal sized sections, so the possible set can be written as-

S = {1, 2, 3, 4, 5, 6, 7, 8}

Now the possible subsets can be-

Even numbers = {1,3,5,7}

Odd numbers = {2,4,6,8}

Any number or group from 1 to 8, inclusive

Hence for spinner the spinner for one time, suppose A be the possible set. Then,

    A could be {1, 2, 3}.

or, A = {1, 2, 3, 4}.

where A is the subset of S.

Hence, For spinning the spinner one time A could be {1, 2, 3} or, A = {1, 2, 3, 4} is possible.

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The expression is equal to:

So:

Answer: A = -27

B = 8

x = 3

y = 3

z = 9

5.⇒I will use substitution method to solve this system of equations.

a=8+b......(1st equation)

a=20-b(2nd equation)

\(eq1=eq2\\8+b=20-b\\b+b=20-8\\2b=12\\\frac{2b}{2} =\frac{12}{2} \\b=6\)

\(a=20-b\\a=20-(6)\\a=14\)

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y=2x....(1st equation)

6y+2x=0(2nd equation)

Plug in the first equation in the second equation.

Hint: in the place of y in the second equation plug in 2x

\(6(2x)+2x=0\\8x=0\\\frac{8x}{8} =\frac{0}{8} \\x=0\)

\(y=2x\\y=2(0)\\y=0\)

Goodluck

Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

Using the Intermediate Value Theorem and a calculator, an interval of length 0.01 that contains a root of the equation \(x^{5}\) - \(x^{2}\) + 2x + 3 = 0 can be found.

To apply the Intermediate Value Theorem, we need to determine two values of x that give opposite signs when plugged into the equation. By evaluating the equation for different x-values, we can find an interval containing a root. Starting with an interval, let's say [-1, 0], we evaluate the equation at the endpoints. For x = -1, we have \(-1^{5}\) - \((-1)^{2}\) + 2(-1) + 3 = -1 - 1 - 2 + 3 = -1. Similarly, for x = 0, we have \(0^{5}\) - \(0^{2}\) + 2(0) + 3 = 3. As the function changes sign from negative to positive within the interval [-1, 0], we can conclude that there is at least one root in this interval.

To find a more precise interval with a length of 0.01, we can narrow down the search. By evaluating the equation at various x-values within the initial interval, we can determine the approximate location of the root. For example, evaluating the equation at x = -0.5, we get \((-0.5)^{5}\) - \((-0.5)^{2}\)+ 2(-0.5) + 3 = -0.2109375. Continuing this process, we can refine the interval until we find a root. Suppose we determine that the root lies within the interval [-0.65, -0.64]. Rounding these endpoints to the nearest hundredth, the interval that contains a root is approximately [-0.65, -0.64].

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a)  the probability that at most 9 out of 10 students spend at least 90 minutes is approximately 0.9456 (1 - 0.0544). (b) 0.0544. (c) approximately 0.5976 (0.2354 + 0.3622).

a. To calculate the probability that at most 9 out of 10 randomly selected York students spend at least 90 minutes per day to commute to campus, we need to consider the complementary event: the probability that all 10 students spend less than 90 minutes per day to commute.

According to the given information, 26% of York students spend at least 90 minutes to commute, which means that 74% (100% - 26%) spend less than 90 minutes.

Now, we calculate the probability that all 10 students spend less than 90 minutes by multiplying the probability for each student: (0.74)^10 ≈ 0.0544.

Therefore, the probability that at most 9 out of 10 students spend at least 90 minutes is approximately 0.9456 (1 - 0.0544).

b. To calculate the probability that more than 9 out of 10 randomly selected York students spend less than 90 minutes per day to commute, we need to find the probability that all 10 students spend less than 90 minutes.

As mentioned earlier, 74% of York students spend less than 90 minutes to commute. We calculate the probability that all 10 students fall into this category: (0.74)^10 ≈ 0.0544.

Hence, the probability that more than 9 out of 10 students spend less than 90 minutes is approximately 0.0544.

c. To calculate the probability that at most one out of 10 randomly selected York students spend at least 30 minutes but less than 90 minutes to commute, we need to consider two scenarios: either no student falls into this category or only one student falls into this category.

The probability that a randomly selected student spends at least 30 minutes but less than 90 minutes is the difference between the two given percentages: 37% - 26% = 11%.

Now, we calculate the probability that no student falls into this category: (0.89)^10 ≈ 0.2354.

Next, we calculate the probability that exactly one student falls into this category: (0.11) * (0.89)^9 * 10 ≈ 0.3622.

Therefore, the probability that at most one out of 10 students spend at least 30 minutes but less than 90 minutes to commute is approximately 0.5976 (0.2354 + 0.3622).

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\(8.3\)

\( \large \frac{83}{10} \)

\(830\%\)

Answer:

Fraction: 8.3x10/10 = 83/10

percentage: 83/10 × 100/1 = 830%

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40

Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

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Answer:

Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.

Step-by-step explanation:

What does the term probability mean?

Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event

Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey

Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.

Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.

Answer:

C) 2m + 12 > 24

Step-by-step explanation:

Diego already has 12 goldfish.

He is getting 2 fish each month.

He will have more than 24.

Go step by step that what helps me and that's why I got a 100 on the TFAR.

Answer:

B

Step-by-step explanation:

Answer:

56% decrease

Step-by-step explanation:

Answer:

There was a 56% decrease

Step-by-step explanation:

Here goes the answer. Hope it helps.

Measure of largest angle in a triangle is equals to 104 degrees.

" Triangle is a 2 dimensional geometrical figure which has three sides and three vertices. Sum of all the angles of triangle is equals to 180°."

According to the question,

x represents the measure of first angle

y represents the measure of second angle

z represents the measure of third angle

Situation 1: First angle is 24 degree more than second angle , it represents the equation:

x = 24 + y               ____(1)

Situation 2: Third angle is four times the measure of second angle, it represents the equation:

z = 4y                       ___(2)

Situation 3: Total number of degree in a triangle is 180, it represents the equation :

x + y + z = 180°           ____(3)

Substitute the value of (1) and (2) in (3) we get,

24 + y + y + 4y = 180°

⇒ 6y + 24 = 180°

⇒ 6y = 180 - 24

⇒ 6y = 156

⇒ y = 26degrees

Therefore,

x = 24 + 26

  = 50 degrees

z = 4 × 26

  = 104 degrees

Hence, measure of largest angle in a triangle is equals to 104 degrees.

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Answer:

In other words, 740 is 22% of "some number."

"per cent" means "out of 100." So...

Set up a proportion: 22/100 = 740/n

Cross-multiply so that 22n = 74,000

Then divide both sides by 22 to get...

n = 3363.6, but since you can't have .6 of a person, round up to 3364.

Hope this helps!

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

\(\sqrt{10}, 2\pi , \sqrt{20}\)

Step-by-step explanation:

These are all irrational.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.

The decimal expansion of an irrational number is neither terminating nor repeating.

irrational numbers are real numbers only.

The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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Answer:

\((180 - 15) = 165\)

The equation of this line in slope-intercept form is equal to y = -4x + 7.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

By making the variable "y" the subject of formula, we have the following:

4x + y = 7

y = -4x + 7

Therefore, the slope (m) is equal to -4.

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Answer:

1.  x = 47°

2.  c = 47°

Step-by-step explanation:

Triangle DEF is an isosceles triangle since it has two sides of equal length.

The two equal sides are called the legs and the angle between them is called the vertex angle.  Therefore, the vertex angle of ΔDEF is ∠D.

The side opposite the vertex angle is called the base (EF) and base angles are equal:

⇒ m∠F = m∠E

⇒ x = 47°

Triangle STU is an isosceles triangle since it has two sides of equal length.

The two equal sides are called the legs and the angle between them is called the vertex angle.  Therefore, the vertex angle of STU is ∠T.

The side opposite the vertex angle is called the base (SU) and base angles are equal.

As the interior angles of a triangle sum to 180° and the base angles are equal:

⇒ m∠S + m∠T + m∠U = 180°

⇒ c + 86° + c = 180°

⇒ 2c = 94°

⇒ c = 47°

The area of the largest outside circle in square centimeters is closest to e)1,017.36 cm².

The area of the largest circle is equal to the sum of the areas of the three inner circles and the area of the white region between them. Since the three inner circles are congruent, we can divide the white region into three equal parts. Let the radius of each inner circle be 'r'. Then, the radius of the largest circle is '3r'.

The area of the white region is the difference between the area of the square and the sum of the areas of the three congruent sectors. The area of each sector is (1/6)πr².

Therefore, the area of the white region is (9/4) r². Finally, we can use the formula for the area of a circle to find the area of the largest circle: A = π(3r)² + 3(1/6)πr² - (9/4) r² = (63/4)πr². If we substitute the value of r as 6 cm (since the diameter of the inner circle is 12 cm), we get the area of the largest circle as (63/4)π(6)² ≈ 1,017.36 cm²(e).

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The total surface area of the resulting solid is \(6+96=\boxed{102}\) square inches.

The resulting solid after the described procedure consists of a central cube of side length 1 inch and 6 congruent smaller cubes, each of side length 2 inches. We can find the surface area of the resulting solid by adding up the surface area of each of these cubes.

The surface area of the central cube is simply \(6(1^2)=6\) square inches.

The surface area of each of the smaller cubes is \(6(2^2)=24\) square inches, but since each cube shares one face with the central cube and another face with its neighboring cube, we only count four of its faces, so the contribution of each smaller cube to the surface area of the resulting solid is 4(24/6)=16 square inches.

Since there are 6 smaller cubes in total, their contribution to the surface area of the resulting solid is \(6\times16=96\)square inches.

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Answer:

Yo wassup bro, at this computer factory, they be making two types of computers, laptops and desktops. They churn out 70 laptops a day and 55 desktops a day. They got a total of 14 machines to make these computers. And they make a total of 905 computers a day. We gotta figure out how many machines are making laptops and how many are making desktops, ya know?

Alright, let's set up a system of equations to solve this. Let's call the number of machines making laptops "x" and the number of machines making desktops "y".

So, we got two equations here:

The total number of computers they make in a day is 905, so we can write: x laptops + y desktops = 905.

They got a total of 14 machines, so we can write: x + y = 14.

Now, let's solve this system of equations to find the values of x and y, man. Once we got those, we'll know how many machines are making laptops and how many are making desktops at this computer factory, yo!

a. The median number of calls = 55

b. The first and third quartiles, Q1 = 48 and Q3 = 66

c. The first decile and the ninth decile, D1 = 45 and D9 = 71.

d. The 33rd percentile = 52.5

To answer the questions, let's first organize the data in ascending order:

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

(a) The median is the middle value of a dataset when arranged in ascending order.

Since we have 40 observations, the median is the value at the 20th position.

In this case, the median is the 55th visit.

(b) The quartiles divide the data into four equal parts.

To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.

The first quartile is the value at the 10th position, which is 48.

To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.

The third quartile is the value at the 30th position, which is 66.

Therefore, Q1 = 48 and Q3 = 66.

(c) The deciles divide the data into ten equal parts.

To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.

The first decile is the value at the 4th position, which is 45.

To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.

The ninth decile is the value at the 36th position, which is 71.

Therefore, D1 = 45 and D9 = 71.

(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.

Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:

Lower value: 52

Upper value: 53

Position: 13

Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5

33rd percentile = Lower value + (Percentage * (Upper value - Lower value))

                = 52 + (0.5 * (53 - 52))

                = 52.5

Therefore, the 33rd percentile is 52.5.

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Answer:-3/4

Step-by-step explanation:

5x+2=x-1

5x-x=-1-2

4x=-3

X=-3/4

Answer:

161

Step-by-step explanation:

145+318=463. 624-463=161

The required number that comes in place of "What" is given as 161.

Given that,
what + 145 + 318 = 624

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
What = 624 - 318 - 145
what = 161

Thus, the required number that comes in place of "What" is given as 161.

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Total balls=sample space=9

Multiples of 2

Total multiples=4

Probability

Option C

Hello, the answer should be \(\frac{4}{9}\), C option.

First, let's define the numbers that are a multiple of 2 from the balls we have.

Then, we will calculate our probability. To do this correctly, we must divide the amount of expected states into the amount of all the states.

Expected numbers: 2-4-6-8

All numbers: 1-2-3-4-5-6-7-8-9

\(P=\frac{{2,4,6,8}}{1,2,3,4,5,6,7,8,9} =\frac{4}{9}\)

Good luck! If you have any questions, then feel free to ask in comments!

Answer:

Hope it helps you.........

a The components of a multiple linear regression model are dependent variable, independent variables, intercept, coefficient, and error term.

b) A dummy variable is a variable that takes on only two values, typically 0 and 1. Dummy variables are used to represent categorical variables in multiple linear regression models.

c) Serial correlation is a statistical phenomenon that occurs when the residuals of a regression model are correlated with each other.

d) Perfect multicollinearity occurs when two or more independent variables are perfectly correlated with each other.

a The components of a multiple linear regression model are:

Dependent variable: The variable that we are trying to predict. It is typically denoted by Y.

Independent variables: The variables that we are using to predict the dependent variable. They are typically denoted by X1, X2, ..., Xk.

Intercept: The value of Y when all of the independent variables are equal to 0. It is typically denoted by β0.

Coefficients: The slopes of the regression line. They represent the change in Y for a one-unit change in Xi. They are typically denoted by β1, β2, ..., βk.

Error term: The difference between the actual value of Y and the predicted value of Y. It is typically denoted by ε.

b. The dummy variable trap is a situation where a dummy variable is perfectly correlated with one or more of the other independent variables in the model.

c. Serial correlation is a statistical phenomenon that occurs when the residuals of a regression model are correlated with each other. This can happen when the data is collected over time, as the residuals from one time period may be related to the residuals from previous time periodically.

d. Perfect multicollinearity occurs when two or more independent variables are perfectly correlated with each other. Imperfect multicollinearity occurs when two or more independent variables are correlated with each other, but not perfectly correlated.

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