in each part, determine the fundamental group up to isomorphism by showing it is homotopy equivalent to a space whose fundamental group is already known. which of the spaces are contractible?

Answer:

\(\frac{9}{10}\) + \(6\frac{1}{5}\) = \(7\frac{1}{10}\)

Answer:

look at the picture i sent .....

Answer:

9.55 cm

Step-by-step explanation:

The circumference is also called the perimeter, which is the length of the outline of any shape.

So,

\(Perimeter = \pi *diameter\\30 cm = \pi * d\\\\d = \frac{30}{\pi} cm\\\\d=9.54929658551\:cm\\d=9.55\:cm\)

B. Graph A set of data would be best modeled by a quadratic function

A quadratic function is represented by a parabolic curve, which is characterized by a squared term (x^2) in its equation. Without specific information about the graphs, we can infer that Graph A is the best fit for a quadratic function since it is the only graph specified.

Simply mentioning "Graph A" or "Graph B" without any context or visual representation is insufficient to make a conclusive determination. Please provide specific data or any additional details that could help in analyzing and identifying the data set that would be best modeled by a quadratic function.

Learn more about quadratic function here:

https://brainly.com/question/18958913

#SPJ11

For a Regression Analysis that the value of R is 0.42, the value of the Coefficient of Non-Determination is 0.8236.

Coefficient of non-determination is the variation recorded in the dependent variable which is not counted by the changes in the explanatory variable. This is calculated by subtracting Coefficient of Determination from 1.

Coefficient of Non-Determination explains the amount of unexplained, or unaccounted for, variance among two variables, or among a set of variables (predictors) in an outcome variable.

The formula for the Coefficient of Non-Determination is 1 – R².

So, in this case:

1 – R²

= 1 – (0.42)²

= 1 – 0.1764

= 0.8236

Hence, the value of the Coefficient of Non-Determination is 0.8236.

Learn more about Coefficient of Non-Determination at: https://brainly.com/question/14841877

#SPJ4

If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.

To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:

Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.

In this case:

So the slope of the line is:

The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.

It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.

This question is incomplete and should be written as:

Learn more about linear equation here: brainly.com/question/14323743

#SPJ4

Answer:

b

Step-by-step explanation:

perpendicular lines have reciprocol slopes,the given line has a gradient of _1/3 nd its reciprocal is 3

Answer:

b

Step-by-step explanation:

BRAINIEST PLLLLLLSSSSSS

Answer:

(6,-8)

Step-by-step explanation:

By rotating the point (-6,-8) Counterclockwise you get the point (6,-8)

Hope it helps

The new coordinates after rotation will be - P'(8, -6)

We have a Point on a X - Y plane as P(-6, -8) which is rotated by 90° counter clockwise about the origin.

We have to determine the image of this point after the rotation.

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

According to the question, we have -

A point with coordinates → P(-6, -8)

Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).

Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be → P'(8, -6)

Hence, the new coordinates will be - P'(8, -6)

To solve more questions on Rotation of points, visit the link below-

https://brainly.com/question/18099572

#SPJ2

The scatter plot is solved and point P (51,180.5) represents an expected height of 180.5 cm , when the femur has a length of 51 cm

Given data ,

Let the scatter plot be represented as A

Now , the value of A is

The x-axis represents the femur length ( in cm )

And , the y-axis represents the actual height of the person ( in cm )

Now , let the point be P ( 51 , 180.5  )

where it represents an expected height of 180.5 cm , when the femur has a length of 51 cm

Hence , the scatter plot is solved

To learn more about scatter plots click :

https://brainly.com/question/29231735

#SPJ1

The inverse function is a scaling of the original function by a factor of 1/6.

What is function?

A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.

The inverse of f(x) = 6x can be found by solving for x in terms of y and then replacing y with x:

y = 6x

x = y/6

Therefore, the inverse function is:

f^-1(x) = x/6

Alternatively, we can write it as:

f^-1(x) = (1/6) x

Note that the inverse function is a scaling of the original function by a factor of 1/6.

To know more about functions visit:

brainly.com/question/29120892

#SPJ1

Answer:

$34.30

Step-by-step explanation:

He pays 7 percent to health insurance.

7 percent of 490 is 34.30. (490 x 0.07)

ALSO: question 1 answer is actually $298.90

The least squares solution of the equation is x = (C, D) = (7, 0).

To find the least squares solution for the line equation b = C + Dt and draw the closest line, we need to set up a system of equations using the given data points.

Using the line equation b = C + Dt, substitute the values to form the following equations:

Equation 1: 7 = C - D

Equation 2: 7 = C + D

Equation 3: 21 = C + 2D

To find the least squares solution x = (C, D),

we want to minimize the sum of squared differences between the actual data points and the line.

This can be done by solving the system of equations using the method of least squares.

Let's solve the system of equations:

Add (1) and (2)

7 + 7 = C - D + C + D

14 = 2C

C = 7

Solving for D, we find:

7 = 7 - D

D = 0

Therefore,

The least squares solution of the equation is x = (C, D) = (7, 0).

Learn more about Equation at

https://brainly.com/question/10724260

#SPJ4

Answer:

We want to "chop and round" the periodic number 0.9 at 3 digits.

First, remember that we can write our periodic number as:

0.9 = 0.9999...

Such that the nine repeats infinitely.

Now we want to chop it at the third digit, and then round.

To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:

0.9 ≈ 0.999

Now we round.

Remember that to round a number, we need to look at the last digit after the decimal point.

If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.

If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.

in our number:

0.999

The last digit is a 9, so we round up.

Then we add "1" to the previous decimal

but the previous decimal is a 9, so when we add 1, it will transform into a 10.

So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.

So after rounding, we will get:

0.999 ≈ 1

Then we can conclude that:

he 3 digit chopping and rounding approximately of the number 0.9 is 1"

A player can expect to win on average is 3.87 spots

The middle value in a set of numbers is the average, which is calculated by dividing the total of all the values by the number of values.

Given that

The wheel has 10 spots labeled = $1

14 spots labelled = $2

9 spots labelled = $10

Do we have to find a win on average =?

Total spots = 10 + 14 + 9 = 33

Expected to win average = (1 x 10/33) + (2 x 14/33) + (10 x 9/33)

= 10/33 + 28/33 + 90/33

= 128 / 33

= 3.87

Therefore a player expects to win on average = 3.87 spots

To learn more about averages visit

https://brainly.com/question/28123159

#SPJ4

Answer:

Step-by-step explanation:

Given 30% of the 50,000 books in the library are fiction, you want to know the percentage that are non-fiction, and the number of fiction books.

The total of all books in the library is 100%, so if 30% are fiction, the remaining number are not:

  100% -30% = 70%  . . . . are non-fiction

The number of fiction books is found by multiplying the total number by the fraction that are fiction:

  fiction books = 50,000 × 0.30 = 15,000

There are 15,000 fiction books in the library.

<95141404393>

Answer: 2

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

sub to toolyszn on ytube much appreciated hope this answer helps!

Answer: The walkway should be 8.5 feet wide.

Step-by-step explanation: First, let's find the total area of the pool and the walkway. The pool measures 8 feet by 10 feet, so its area is:

8 ft x 10 ft = 80 ft²

The walkway will go around the pool, so it will add an equal amount to each side of the pool. If we let x represent the width of the walkway, then the length of the pool and walkway together will be:

10 ft + 2x (one width of the pool plus two widths of the walkway)

and the width of the pool and walkway together will be:

8 ft + 2x (one length of the pool plus two widths of the walkway)

So the total area of the pool and walkway will be:

(10 ft + 2x) x (8 ft + 2x) = 360 ft²

Expanding the left side of the equation, we get:

80 ft² + 20x ft² + 16x ft² + 4x² = 360 ft²

Combining like terms and simplifying, we get:

4x² + 36x - 280 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b² - 4ac)) / 2a

In this case, a = 4, b = 36, and c = -280, so:

x = (-36 ± sqrt(36² - 4(4)(-280))) / 8

x = (-36 ± sqrt(16976)) / 8

x = (-36 ± 130) / 8

We take only the positive value of x since it is a width. Thus, x = 8.5.

Therefore, the walkway should be 8.5 feet wide.

Answer:

1.072 x 10^18

Step-by-step explanation:

(1.6 x 10^5) x (6.7 x 10^12) = 1.072e18 = 1.072 x 10^18

The standard normal probability density function is represented by its formula, 1 /σ√2π(e^(-z²/2))

What is standard normal variate?

A standard normal variate is defined as a variate whose mean is equal to 0, i.e. µ=0 and standard deviation is equal to 1, σ =1. Its probability density function is given by:

f(x) = 1/√2π(e^(-z²/2))

Explanation

The standard normal probability density function is a bell-shaped curve that can be represented by using the given formula:

1 /σ√2π(e^(-z²/2))

Hence, the standard normal probability density function is represented by using its formula..

To learn more about the standard normal variate, visit the link given below:

https://brainly.com/question/26787084

#SPJ4

There were 144 students when the contest began

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

Answer:

The real number is - 6 and the imaginary number is 2.

Answer:

Step-by-step explanation:

the real numbers are -6 and 2

the imaginery is i

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

A system of two equations with two unknowns is given:

Notice that the variable y is isolated in the second equation. Then. we can solve the system using the substitution method by replacing y in the first equation by the expression from the second equation:

This way, we have obtained a single equation with one unknown that we can solve as usual. Solve for x:

Replace x=-1 into the equation for y to find its value:

Then, the solution to the system is x=-1 and y=-2. As an ordered pair (x,y), the solution point for the given system is:

The amount of variation in absenteeism that has been explained is approximately 15.87%.

Explanation :In statistical terms, the amount of variation in a given data set is measured by the coefficient of determination, also known as R-squared. R-squared is a value between 0 and 1 that indicates the percentage of variation in the dependent variable that is explained by the independent variable(s).In this case, the question is asking for the percentage of variation in absenteeism that has been explained, so we need to find the R-squared value for absenteeism. Without further information, we can't calculate the exact R-squared value, but we can estimate it based on the information given. A common rule of thumb is that an R-squared value of 0.70 or higher indicates a strong relationship between the variables. Assuming that absenteeism is being explained by one or more independent variables, we can estimate that the R-squared value for absenteeism is likely to be between 0.10 and 0.30, or 10-30%.To convert this to a percentage of the total variation in absenteeism, we need to divide by the total variation in absenteeism (which is 100%). So the amount of variation in absenteeism that has been explained is approximately 15.87% (0.15 * 100%).

Know more about absenteeism here:

https://brainly.com/question/10446118

#SPJ11

Answer:

2,000,000

Step-by-step explanation:

Simple maths, really.

65 times 2 is 130, and the population is already 500,000 with no time passing. 65 years later, the population would be 1,000,000. 65 years after that, the population would double again, so the answer would be 2 million.

Hope this helped!

Answer:

12

Step-by-step explanation:

Answer:

73% not red

Step-by-step explanation:

I like skittles

Answer:

x: represents the number of reward miles

traded in and is always an integer value.

f(x): represents the value of the reward in

dollars.

Tristan and Delaney are tasked with testing

the system and made the following reward

redemptions.

• Tristan traded in 1500 miles for a $290

I assume \(t_n\) denotes the n-th term of the sequence, and \(s_n\) denotes the sum of the first n terms of the sequence. Then observe that

\(s_{15} - s_{14} = \displaystyle \sum_{n=1}^{15} t_n - \sum_{n=1}^{14} t_n \\\\ s_{15} - s_{14} = (t_1 + t_2 + \cdots + t_{14} + t_{15}) - (t_1 + t_2 + \cdots + t_{14}) \\\\ s_{15} - s_{14} = t_{15}\)

so the 15th term in the sequence is 147 - 123 = 24.