The line of best fit for a data set is y=1.1x+3.4. Find the residual for each of the coordinate pairs, (x,y).

D. (1.5,5.05)​

Answer:

(x-1)(x+8)=0

x=1

x=-8

Hope this helps

Answer:

hope this helps!! 790095543^&*((

The coordinates of the point where the angle of 130° intersects the unit circle are approximately (-0.6428, 0.7660).

The angle of 130° intersects the unit circle at a specific point. To determine the coordinates of this point, we can use trigonometric functions.

The unit circle is a circle with a radius of 1 centered at the origin (0, 0) in the Cartesian coordinate system. Any point on the unit circle can be represented by its coordinates (x, y), where x and y are the cosine and sine of the angle formed by the terminal side of the angle and the positive x-axis.

To find the coordinates of the point where the angle of 130° intersects the unit circle, we need to evaluate the cosine and sine of 130°.

The cosine of 130° is equal to the x-coordinate of the point, and the sine of 130° is equal to the y-coordinate of the point.

Using a calculator, we can find:

cos(130°) ≈ -0.6428

sin(130°) ≈ 0.7660

Therefore, the coordinates of the point where the angle of 130° intersects the unit circle are approximately (-0.6428, 0.7660).

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Answer:

Your answer is 226 numbers.

The common approximation when X is near zero is sin(x) ~ x.  The maximum error in the approximation using n =2 is:

Sin(0.4) is approximately 0.4 with a maximum error of 0.0010667.

Sin(0.7) is approximately 0.7 with a maximum error of 0.11765.

1. For x = 0.4, sin(0.4) ~ 0.4.

The maximum error in the approximation using n = 2 is given by the Taylor remainder term with x = 0.4 and n = 2:

|R2(0.4)| <= (0.4)^3 / 3! * |cos(c)|, where c is between 0 and 0.4.

The maximum value of |cos(c)| is 1, so we have:

|R2(0.4)| <= (0.4)^3 / 3! = 0.0010667

Therefore, sin(0.4) is approximately 0.4 with a maximum error of 0.0010667.

2. For x = 0.7, sin(0.7) ~ 0.7:

The maximum error in the approximation using n = 2 is given by:

|R2(0.7)| <= (0.7)^3 / 3! * |cos(c)|, where c is between 0 and 0.7.

The maximum value of |cos(c)| is 1, so we have:

|R2(0.7)| <= (0.7)^3 / 3! = 0.11765

Therefore, sin(0.7) is approximately 0.7 with a maximum error of 0.11765.

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Explanation:

A perpendicular line to the given line has its opposite and reciprocal slope.

The given line y = -1/4x - 6 has a slope of -1/4. Therefore the slope of a perpendicular line is 4:

To find the y-intercept b we have to use the point. We replace x = -3 and y = 4 into the equation above and solve for b:

Answer:

The equation of the perpendicular line is y = 4x + 16

Answer:

uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli

Step-by-step explanation:

Answer:

Ok what do you need help on?

Step-by-step explanation:

The angles A, B, and C are approximately 65°, 56° and 59°, respectively.

Given data:

a = 3, c = 5, B = 56°

In a triangle ABC, we have the relation:

a/sin(A) = b/sin(B) = c/sin(C)

The given angle B = 56°

Thus, sin B = sin 56° = b/sin(B)

On solving, we get b = c sin B/ sin C= 5 sin 56°/ sin C

Now, we need to find the value of angle A using the law of cosines:

cos A = (b² + c² - a²)/2bc

Putting the values of a, b and c in the above formula, we get:

cos A = (25 sin² 56° + 9 - 25)/(2 × 3 × 5)

cos A = (25 × 0.5543² - 16)/(30)

cos A = 0.4185

cos⁻¹ 0.4185 = 65.47°

We can find angle C by subtracting the sum of angles A and B from 180°.

C = 180° - (A + B)C = 180° - (65.47° + 56°)C = 58.53°

Thus, the angles A, B, and C are approximately 65°, 56° and 59°, respectively.

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Answer:

4.67^5 the 5 is for the number of places we moved.

Step-by-step explanation:

We have to move places because according the law of scientific notation your number has to be from 1-9

Answer:

B. 13 units

Step-by-step explanation:

Hope this helps

Answer:

g(x) = x - 3

Step-by-step explanation:

An inverse function undoes a function meaning (x - 3) is the only function that undoes (x + 3).

Answer:

3/25

Step-by-step explanation:

that's the answer I don't how to explain it

Answer: 1/25

Step-by-step explanation: The theoretical probability for any of the 5 tiles to be drawn is 1/5

1/5 x 1/5= 1/25

Answer:

Step-by-step explanation:

no graph was shown

Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Answer:

29°

Step-by-step explanation:

:)

The solution is: y=2.3x, is the equations can be used to represent the proportional relationship between the number of apps, x, and the total earnings, y.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that ,

100 apps downloads leads to $230.00 then we need to get earnings for 1 app download by dividing the total earnings by the number of apps

Earning per download=230.00/100=2.30

When we have x apps downs, the earnings will be equivalent to 2.3x

The total earning, y will then be

y=2.3x

Hence, The solution is: y=2.3x, is the equations can be used to represent the proportional relationship between the number of apps, x, and the total earnings, y.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

x=19

Step-by-step explanation:

The sum of the three anagles is 180

(5x+4)+(x-2)+(3x+7)=180

5x+x+3x+4-2+7=180

9x+9=180

9(x+1)=180

x+1=20

x=20-1

x=19

The probability that a five-card hand will contain a straight = 5/1274

There are 52 cards in a deck from which each 13 cards are from 4 different suits (clubs, diamonds, spades and hearts) in a game of poker.

Each 13 cards from high to low are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So a straight of five cards, i.e., five cards in unbroken numerical sequence would be got only from 10 cards in a sequence.

So the possible ways to get a single straight five from all four suits = \(4^5\)

Now as we doesn't need all 5 cards from a single suit, we can ignore 4 ways from the above number. i.e.,  \(4^5-4 = 1020\) ways.

Hence the possible ways to get a straight five from 10 cards from all four suits = 10 x 1020 = 10200 ways

Total number of ways to select 5 cards from 52 cards = 52C5

Thus,

The probability that a five-card hand will contain a straight = 10200 / 52C5

                                                                                                  = 5/1274                        Learn more about probability at https://brainly.com/question/5858025

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The value of x is 17.

Supplementary angles are two angles that add up to 180 degrees. In this case, we know that angle F and angle H are supplementary angles. We also know that the measure of angle F is 77 degrees and the measure of angle H is 5x + 18 degrees.

So we can write the following equation to represent the fact that the sum of the measures of these two angles is 180 degrees:

77 + 5x + 18 = 180

Simplifying this equation, we get:

5x + 95 = 180

Subtracting 95 from both sides, we get:

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, the value of x is 17.

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The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

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In linear equation, a = (n+p)/m is equation for the indicated variable.

What in mathematics is a linear equation?

In terms of algebra, writing "am" is the same as writing "a*m" or "a times m"

To undo the multiplication, we use division. We will divide both sides by m to get 'a' all by itself on the left side

So...

am = n+p

a*m = n+p

(a*m)/m = (n+p)/m .... divide both sides by m

a = (n+p)/m ... notice how the 'm's cancel out when we divide on the left side

a = (n+p)/m

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The difference quotient of f(8 + h) - f(8) / h = x³ + 3x²h + 3xh³ + h³ - 512 / h.

When you hear the phrase "difference quotient formula," what comes to mind? Difference and quotient resemble the slope formula in appearance. Yes, the difference quotient formula does really provide the slope of a secant line drawn to a curve. What is a secant line? A line that joins any two points on a curve is known as the secant line.

Given that the function is f(x) = x³

The value of f(8 + h) = (x+ h)³ = x³ + 3x²h + 3xh³ + h³

The value of f(8) = (8)³ = 512

Substituting the value of f(8 + h) and f(8) we have:

f(8 + h) - f(8) / h = x³ + 3x²h + 3xh³ + h³ - 512 / h

Hence, the difference quotient of f(8 + h) - f(8) / h = x³ + 3x²h + 3xh³ + h³ - 512 / h.

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Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

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The probability that a student is either a freshman or a sophomore in a group of 60 college students is 44/60 or 11/15.

To calculate the probability, we need to determine the number of students who are either freshmen or sophomores and divide it by the total number of students in the group.

Given that there are 21 freshmen and 23 sophomores, we add these two numbers together to find the total number of students who are either freshmen or sophomores, which is 21 + 23 = 44.

The total number of students in the group is 60. Therefore, the probability is calculated as 44/60, which simplifies to 11/15.

This means that out of all the students in the group, there is an 11/15 chance that a student selected at random will be either a freshman or a sophomore.

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The rule that describes the composition transformation that maps ABCD to A''B''C''D'' is;

''Translation of negative 6 units x, 1 units y composition reflection across the x-axis''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

The given coordinates of parallelogram ABCD are;

⇒ (3, 5), (6, 5), (4, 1), (1, 1)

The coordinates of the parallelogram A'B'C'D' are;

⇒ A'(3, -5), B'(6, -5), C'(4, -1), D(1, -1)

The coordinates of the parallelogram A''B''C''D'' are;

⇒ D(-5, 0), C''(-2, 0), A''(-3, -4), B''(0, -4)

The image of the point (x, y), following a reflection about the x-axis is the point (x, -y).

And, The difference in the coordinates of the parallelogram ABCD and A'B'C'D' is the change in the sign of the y-coordinates

Therefore, the transformation that gives the parallelogram A'B'C'D' from the parallelogram ABCD is a reflection about the x-axis

Thus, The difference between the coordinates of the vertices of the parallelogram A'B'C'D' and the parallelogram A''B''C''D'', is a change in the x-value by (-6), and a change in the y-value by (+1)

Therefore, the parallelogram A''B''C''D'' can be obtained from parallelogram A'B'C'D', by a translation of -6 units (left) in the x-direction and a translation of 1 unit, x in the y-direction.

Which gives;

The composition transformation that maps the pre-image ABCD to the final image A''B''C''D'', (given that in a composition transformation, the transformation to the right is done first) are; which is the option;

''Translation of negative 6 units x, 1 units y composition reflection across the x-axis''.

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The rent of the apartment during the 10th year can be calculated using the formula: Rent = Initial rent * (1 + rate of increase)^n where "Initial rent" is the rent during the first year, "rate of increase" is the percentage increase in rent per year, and "n" is the number of years.

So, for the 10th year, we have:
M Rent = $1600 * (1 + 12.5%)^10
Rent = $1600 * (1 + 0.125)^10
Rent = $1600 * 2.825
Rent = $4520

Therefore, the rent of the apartment during the 10th year of living in the apartment would be $4520. Rounded to the nearest tenth, the rent would be $4520.0.

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