need help with this question

Answer:

Step-by-step explanation:

Answer:

C (-4, 2)

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point P(x,y) becomes P'(-y,x).

(-4, 2) is  the coordinates of M’, the image of M(2,4), after a counterclockwise rotation of 90° about the origin.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, The coordinates of M(2,4)

Coordinates of the image after counterclockwise rotation.

Since,

When a point with coordinate ( x , y ) is rotated 90° counterclockwise then the new coordinates of the point are given by ( -y , x ).

thus,

Coordinates of image(M') = (-4, 2)

Therefore, the coordinates of M’, the image of M(2,4), after a counterclockwise rotation of 90° about the origin is (-4, 2).

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ2

Answer:

2/5 × 3/2

Step-by-step explanation:

The diameter of a hemisphere with a volume of 863 in^3 is 40.596 in.

In the given question we have to find the diameter of a hemisphere with a volume of 863 in^3.

As we know that the volume of hemisphere is (2/3)πr^3 cubic unit.

The given volume of hemisphere is 863 in^3.

Now we firstly finding the radius of hemisphere then we find the diameter of hemisphere

The volume of hemisphere = 863 in^3

(2/3)πr^3 = 863

We know that; π = 22/7

(2/3) * (22/7) *r^3 = 863

44/21 * r^3 = 863

Multiply by 21/44 on both side, we get

r^3 = 863*21/44

r^3 = 411.89

r^3 = 412 (approx)

Taking cube root on both side, we get

r = 20.298

Now finding the diameter,

Diameter = 2*radius

Diameter = 2*20.298

Diameter = 40.596 in

To learn more about volume of hemisphere link is here

brainly.com/question/30038307

#SPJ4

The range and domain of the given graph are respectively;

-∞ ≤ x ≤ ∞

-4 ≤ y ≤ ∞

Domain is defined as the set of all possible input values for which the function is possible.

Range is defined as the set of all possible output values for which the function is true for the input values.

From the graph, we see that the horizontal asymptote is at y = -4 and as such this will be the least value of the range.

We can also see that the curve is still continuous in the positive axis for y-values and so the y-values are greater than 6. Thus;

The domain is; -4 ≤ y ≤ ∞

The range from the graph is seen as x continues increasing both in the positive and negative axis region and as such the range is expressed as;

-∞ ≤ x ≤ ∞

Read more about Range and Domain at; https://brainly.com/question/25828005

#SPJ1

We will have the following:

Using the data provided and applying linear regression we will have that the lines of best fit will be:

Now, that is using 1984 as the starting point (0 years) now, we determine the value at 2010 (26 years after):

So, the prediction using the best fit would be approximately 107 students enrolled in 2010.

1. She could offer a price slightly lower than the point estimate, such as 22,000, to allow for negotiation.

2. The van with 81,718 miles on it is priced towards the lower end of the prediction interval, it suggests that it is in poorer condition than average.

1. Assuming the classmate and Tim agree that his van is in average condition, they can use the point estimate of 22,920 as a starting point for negotiations. However, since the 95% confidence interval for the average price of Eurovans with 75,000 miles on them is [19.44 , 26.4], it is possible that Tim's van could be priced below or above the average.

If the classmate wants to play it safe and offer a price that is more likely to be fair, she could take the midpoint of the confidence interval as a starting point, which is 22,920. Alternatively, she could offer a price slightly lower than the point estimate, such as 22,000, to allow for negotiation.

Whether or not the price is considered fair depends on several factors, such as the condition of the van, any additional features or upgrades, and the current market demand for Eurovans. It would be advisable for the classmate to research the current market conditions and compare prices of similar vehicles before making an offer.

2. It is difficult to determine the condition of a vehicle based solely on its mileage. However, assuming that the price given accurately reflects the condition of the van with 81,718 thousand miles on it, it is likely to be in below-average condition. This is because the prediction interval for the price of an individual Eurovan with 75,000 miles on it is quite wide, ranging from 11,360 to 34,480.

If the van with 81,718 miles on it is priced towards the lower end of the prediction interval, it suggests that it is in poorer condition than average. However, it is also possible that other factors, such as the location of the sale or the seller's motivation, could be driving the lower price. Ultimately, it would be best to inspect the vehicle in person and assess its condition before making any determinations about its value.

for such more question on average.

https://brainly.com/question/23377525

#SPJ11

Given, Point estimate in dollars of the predicted price of a Eurovan with 75,000 in mileage : $22,920

95% confidence interval for the average price of Eurovans with 75,000 miles on them : [19.44 , 26.4]

95% confidence interval (aka a prediction interval) for the price of an individual Eurovan with 75,000 miles on it : [11.36 , 34.48]

1. Based on the point estimate and the confidence intervals provided, if your classmate and Tim agree that his van is in average condition, she should offer him a price somewhere in the range of $19,440 to $26,400. However, the prediction interval for an individual Eurovan with 75,000 miles on it is quite wide, ranging from $11,360 to $34,480, which suggests that there may be considerable variation in prices for Eurovans with similar mileage depending on factors such as condition, location, and features. Ultimately, the price that would be considered fair would depend on a variety of factors beyond just mileage, such as the overall condition of the vehicle, any necessary repairs or maintenance, the presence of desirable features or upgrades, and the local market for similar vehicles.

2. Without additional information about the specific Eurovan with 81,718 miles on it, it is difficult to definitively determine whether it is in below-average, average, or above-average condition. However, based solely on the mileage, it is likely that the van has been driven more than average for its age, which could indicate a higher likelihood of wear and tear or needed repairs. This would suggest that the van is more likely to be in below-average or average condition, although it is possible that the van has been well-maintained and is in above-average condition despite its mileage. Ultimately, a thorough inspection and assessment of the van's condition would be necessary to make a more accurate determination of its condition and value.

To learn more about confidence interval  click here, brainly.com/question/24131141

#SPJ11

\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)

A linear function is an equation of the form:

\(\sf{y=mx+b}\)

▪ \(\sf{m= \: slope}\)

▪ \( \sf{b= \: y-intercept}\)

First, pick any two pairs of points from the table.

\(\small\longrightarrow \sf{(x_1,y_1)(-1.13)}\)

\(\small\longrightarrow \sf{(x_2,y_2)=(0,10)}\)

Using these points, find the slope.

\(\small\longrightarrow \sf{m= \dfrac{y _{2 } - y_1}{x_2-y_1} }\)

When x=0, y=10, therefore, the y-intercept, b=10.

\(\leadsto\) Substitute m=-3 and b=10 into the slope-intercept form given above:

\(\small\longrightarrow \sf{m=m = \dfrac{10 - 13 }{0 -( - 1) } = - \dfrac{3}{1} = - 3}\)

▪ \(\small\longrightarrow \sf{y= -3x+10}\)

\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)

\(\large\boxed{\bm{y= -3x+10}}\)

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

8

Step-by-step explanation:

16 inchers = 128 feet

128/16=8

so 1 inch = 8 feet

Answer:

16 inches:128 feet = 1 inch:8 feet

(a) There are 40 french mathematics books then non-french books not about mathematics are 210. (b) There are 60 french nonmathematics books then non-french books not about mathematics are 150.

(a) If there are 40 French mathematics books, then the number of French books not about mathematics is 70 - 40 = 30.

Thus, the number of non-French books about mathematics is 100 - 40 = 60.

We can then find the number of non-French books not about mathematics by subtracting the number of French non-mathematics books from the total number of non-mathematics books, which is 300 - 60 - 30 = 210.

(b) If there are 60 French non-mathematics books, then the number of French books about mathematics is 70 - 60 = 10. Thus, the number of non-French books about mathematics is 100 - 10 = 90.

We can then find the number of non-French books not about mathematics by subtracting the number of French non-mathematics books from the total number of non-mathematics books, which is 300 - 60 - 90 = 150.

Visit here to learn more about subtracting:

brainly.com/question/28467694

#SPJ11

The value of function g'(3) = -1/4.

We know that g(x) = \(f^{-1}\)(x) for all x.

To find g'(3), we can use the inverse function theorem, which states that if f is a differentiable function with a nonzero derivative at a point a, and if g is its inverse function, then g is differentiable at the corresponding point b = f(a), and the derivative of g at b is given by:

g'(b) = 1 / f'(a)

Therefore, to find g'(3), we need to first find f'(a), where a is the value of f at x = 3. We can use the mean value theorem to do this:

f'(a) = (f(6) - f(3)) / (6 - 3) = (3 - 15) / 3 = -4

Therefore, f'(a) = -4.

Now, we can use the inverse function theorem to find g'(3):

g'(3) = 1 / f'(a) = 1 / (-4) = -1/4

Therefore, g'(3) = -1/4.

Learn more about mean value theorem;

https://brainly.com/question/30403137

#SPJ4

Answer:

P = 10n + 50

Step-by-step explanation:

fixed charge 50

10 / unit

for n units of water charge is n * 10

Water bill is P

P = n * 10 + 50

P = 10n + 50

The sample means are Mean(Y) = 61.4 and Mean(X) = 15, the sample variances are Variance(Y) ≈ 1124.89 and Variance(X) ≈ 2.67, the sample standard deviations are Standard deviation(Y) ≈ 33.56 and Standard deviation(X) ≈ 1.63, the sample covariance is Covariance(X, Y) ≈ -131.69, and the sample correlation is Correlation(X, Y) ≈ -0.77.

a. To find the sample means, variances, and standard deviation, we can use the following formulas:

Sample mean of income (Y):

Mean(Y) = (100 + 65 + 47 + 112 + 34 + 85 + 92 + 83 + 67 + 29) / 10 = 614 / 10 = 61.4

Sample mean of education (X):

Mean(X) = (18 + 14 + 14 + 16 + 12 + 16 + 18 + 14 + 16 + 12) / 10 = 150 / 10 = 15

Sample variance of income (Y):

Variance(Y) = [(100 - 61.4)^2 + (65 - 61.4)^2 + (47 - 61.4)^2 + (112 - 61.4)^2 + (34 - 61.4)^2 + (85 - 61.4)^2 + (92 - 61.4)^2 + (83 - 61.4)^2 + (67 - 61.4)^2 + (29 - 61.4)^2] / 9 ≈ 1124.89

Sample variance of education (X):

Variance(X) = [(18 - 15)^2 + (14 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2 + (16 - 15)^2 + (18 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2] / 9 ≈ 2.67

Sample standard deviation of income (Y):

Standard deviation(Y) = √Variance(Y) ≈ √1124.89 ≈ 33.56

Sample standard deviation of education (X):

Standard deviation(X) = √Variance(X) ≈ √2.67 ≈ 1.63

b. To find the sample covariance and correlation, we can use the following formulas:

Sample covariance:

Covariance(X, Y) = [(18 - 15)(100 - 61.4) + (14 - 15)(65 - 61.4) + (14 - 15)(47 - 61.4) + (16 - 15)(112 - 61.4) + (12 - 15)(34 - 61.4) + (16 - 15)(85 - 61.4) + (18 - 15)(92 - 61.4) + (14 - 15)(83 - 61.4) + (16 - 15)(67 - 61.4) + (12 - 15)(29 - 61.4)] / 9 ≈ -131.69

Sample correlation:

Correlation(X, Y) = Covariance(X, Y) / (Standard deviation(X) * Standard deviation(Y)) ≈ -131.69 / (1.63 * 33.56) ≈ -0.77

Learn more about standard deviations here:

https://brainly.com/question/12402189

#SPJ11

Correct question-

Consider the following random sample of income and education: Income(Y) Education(X) 100 18 65 14 47 14 112 16 34 12 85 16 92 18 83 14 67 16 29 12 a. Find sample means, variances and standard deviation. b. Find sample covariance and correlation.

The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

To know more about expression , refer here:

https://brainly.com/question/28170201#

#SPJ11

Answer:

9x+2

Step-by-step explanation:

the inverse of the function is the opposite. 1/9 becomes 9 and negative 2 becomes positive 2

Answer:

first option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = \(\frac{1}{9}\) x - 2 ( add 2 to both sides )

y + 2 = \(\frac{1}{9}\) x ( multiply through by 9 to clear the fraction )

9y + 18 = x

change y back into terms of x with x = \(f^{-1}\) (x) , then

\(f^{-1}\) (x) = 9x + 18

Answer:

9.99103139013

Step-by-step explanation:

For the rounded version it would be 10.00 rounded to the nearest whole

Answer:

y = x^2 i think

Step-by-step explanation:

graph{y=3x-2 [-10, 10, -5, 5]}

Explanation:

This equation is in the form

y

=

m

x

+

b

so the line is linear.

To graph this equation, all you have to do is figure out two things, the slope and the y-intercept.

The 3x is the slope and -2 is the y-intercept

Answer:

the answer you are looking for is -5<n<4

Answer:

−6<3n+9<21

−6+−9<3n+9+−9<21+−9(Add -9 to all parts)

−15<3n<12

−15

3

<

3n

3

<

12

3

(Divide all parts by 3)

−5<n<4

Step-by-step explanation:

To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.

The rate is equal to distance divided by time. For example,

Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.

Learn more about rate in: https://brainly.com/question/14731228

#SPJ1

Answer:

-2.5 , -1 , 15.03 , 15.32

-10 , -6 1/2 , -1 , 0

0.02 , 0.2 , 2.02 , 2.2

Step-by-step explanation:

Answer:

-2.5 , -1 , 15.03 , 15.32

-10 , -6 1/2 , -1 , 0

0.02 , 0.2 , 2.02 , 2.2

Step-by-step explanation:

In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.

The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.

However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.

To learn more about random sample click here

brainly.com/question/31523301

#SPJ11

Answer:

X = 10 i think but I don't know for sure

Step-by-step explanation:

The probability that three points chosen uniformly and independently on a circle fall on a semicircle is 1/2 or 50%.

The probability of three points chosen randomly and independently on a circle falling on a semicircle is 1/2, or 50%. This is because the probability of a point landing on either side of the semicircle is equal. The points are chosen on a circle, so each point has an equal probability of being on either side of the semicircle. Therefore, the probability of three points randomly chosen on a circle landing on a semicircle is 1/2 or 50%.

Let A, B, and C be the three points chosen on a circle.

The probability that A, B, and C fall on the semicircle is:

P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

= (1/2) x (1/2) x (1/2)

= (1/2)^3

= 1/8

Therefore, the probability that three points chosen randomly and independently on a circle fall on a semicircle is 1/8 or 12.5%.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The probability that three points chosen uniformly and independently on a circle fall on a semicircle is written as 1/8.

The term probability in math is defined as the chances of something materializing based upon the ratio of its number of outcomes to the number of outcomes of the whole sample space the event relies upon.

While we looking into the given question, here let us consider that A, B, and C be the three points chosen on a circle.

Then the probability that A, B, and C fall on the semicircle is calculated as,

=> P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

Now, we have to apply the value of each probability, then we get

=> (1/2) x (1/2) x (1/2)

Therefore, the resulting value is

=> (1/2)³ = 1/8

To know more about Probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

quintic polynomial

Step-by-step explanation:

it depends on the degree and the degree is at 5 so its quintic quin means 5

Answer:

It is a Quintic Polynomial

Step-by-step explanation:

When classifying polynomials, there is usually a list that you should get that makes classifying easier.

I put the list down below.

In order to find if it is constant (0), linear (1), quadratic (2), cubic (3), quartic (4), or quintic (5), look at the exponent with the highest value (0 through 5), and it will give you the name. So in the equation, you have above, the highest exponent is 5. So this is a quintic.  

In order to find the next part of the expression, monomial, binomial, trinomial, and polynomial, look at how many terms there are in the expression. There are 4 terms, so this a polynomial.

When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.

Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).

A shape with a line of symmetry will land on itself, when reflected across the line of symmetry. The true statements are:

From the question, we understand that; the rectangle is reflected across the line of symmetry

When this is done, the half of the rectangle will land directly on the other half.

This means that, the diagonal of the rectangle will land perfectly on the other diagonal

The statement above suggests that, the diagonal of a rectangle is also a line of symmetry of the rectangle.

Read more about lines of symmetry and diagonals at:

https://brainly.com/question/1045307

As per the Maclaurin series, the value of the function is written as 2.8521

The term Maclaurin series is defined as  a function that has expansion series that gives the sum of derivatives of that function.

Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

And we need to find the sum of series by using the Maclaurin series as

Now, the sum of series is calculated as,

=>f(n) =  \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

When we put the value on n = 0, then we get,

=> f(0) = [1 x 3.14]/1] =  3.14

Now, we have to put the value of the function, the value of x as 1,

Then we get,

=> f(1) = [-1 x 9.8596] / [16 x 2]

=> f(1) = -0.308

And then we have to put the value of function for the value of x as 2,

Then we get,

=> f(2) = [1 x 30.959] / [64 x 24]

=> f(2) = 0.0201

Then the sum of the series is

=> 3.14 - 0.308 + 0.0201

=> 2.8521

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

The set of numbers that are opposites is −6 and 6.

1. Opposites are numbers that are the same distance away from zero but on opposite sides of the number line.

2. In the given options, let's examine each pair to determine the opposites.

3. The pair 6 and 0 does not consist of opposites since they are not equidistant from zero. Therefore, we can eliminate this pair.

4. The pair −6 and 0 satisfies the condition of being equidistant from zero but on opposite sides of the number line. We consider this as a potential option for opposites.

5. To determine if |−6| and 6 are opposites, we need to find the absolute value of −6. The absolute value of −6 is 6, and since 6 and 6 are the same number, they are not opposites. Hence, we can eliminate this pair as well.

6. Finally, we have −6 and 6 remaining. These numbers are equidistant from zero but on opposite sides of the number line, satisfying the definition of opposites.

7. Therefore, the set of numbers that are opposites is −6 and 6.

In summary, out of the given options, only the pair −6 and 6 represents a set of numbers that are opposites.

For more such questions on numbers, click on:

https://brainly.com/question/24644930

#SPJ8