Give the coordinates of the point in the graph below.
-5
A
32
-3 -2
-1
-4
-3-
2-
0
-1-
--2-
-3-
-4
-5
-N-
2
3
4
5.

When Y is increased by 44%, X increases by 20%.

If X is proportional to the square root of Y, then we can express this relationship as X = k√Y, where k is the constant of proportionality. Now, let's consider the scenario where Y is increased by 44%.

Let's denote the initial value of Y as Y₀. When Y is increased by 44%, the new value of Y becomes Y₁ = Y₀ + 0.44Y₀ = 1.44Y₀.

Since X is proportional to the square root of Y, we can write the initial value of X as X₀ = k√Y₀, and the new value of X as X₁ = k√(1.44Y₀).

To find the percentage increase in X, we can calculate the difference between the new and initial values of X and express it as a percentage of the initial value:

Percentage increase in X = ((X₁ - X₀) / X₀) * 100

Substituting the values, we get:

Percentage increase in X = ((k√(1.44Y₀) - k√Y₀) / k√Y₀) * 100

Simplifying the expression, we find:

Percentage increase in X = ((√1.44 - √1) / √1) * 100

Percentage increase in X = (1.2 - 1) x 100

Percentage increase in X = 0.2 x 100

Percentage increase in X = 20%

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1

The probability that 7 or 8 machines will produce all bolts within specification is approximately 0.9841.

Using the binomial distribution formula, we get:

P(X = 7) = (8 choose 7) * (0.002)⁷ * (0.998)¹ ≈ 0.0081

P(X = 8) = (8 choose 8) * (0.002)⁸ * (0.998)⁰ ≈ 0.000003

Therefore, P(X = 7) + P(X = 8) ≈ 0.0081 + 0.000003 ≈ 0.9841.

Probability is a branch of mathematics that deals with the study of the likelihood of occurrence of events or outcomes in situations where there is uncertainty or randomness. It is a measure of the degree of uncertainty of an event, typically expressed as a number between 0 and 1. Probability is used to make predictions and decisions in various fields, including science, engineering, economics, finance, and social sciences.

It is based on the analysis of past events or observations, and it enables us to estimate the likelihood of future events or outcomes. Probability theory provides a mathematical framework for modeling and analyzing random phenomena and helps us understand the laws of chance that govern various natural and artificial systems.

learn more about probability here:

https://brainly.com/question/12691315

#SPJ1

The table can be filled as  Symmetry | Applies to the hexagon Reflective symmetry over AD | Yes Reflective symmetry over CE | No

We are given that;

The hexagon DEFCA

Now,

the hexagon has reflective symmetry over AD, because if we fold it along AD, the vertices B and F will match, as well as the vertices C and E. Therefore, the answer for reflective symmetry over AD is Yes.

However, the hexagon does not have reflective symmetry over CE, because if we fold it along CE, the vertices A and F will not match, nor will the vertices B and D. Therefore, the answer for reflective symmetry over CE is No.

Therefore, Symmetry | Applies to the hexagon Reflective symmetry over AD | Yes Reflective symmetry over CE | No.

Learn more about symmetry here:

https://brainly.com/question/7783612

#SPJ1

Answer:

$17,320 after 12 months.

Step-by-step explanation:

f the Coach chooses the Three-Year Plan, the total amount he will spend after 12 months can be calculated as follows:

First, we need to calculate the total amount of monthly payments made in 12 months:

12 months x $610 per month = $7,320

Then, we need to add the down payment made at the time of purchase:

$7,320 + $10,000 = $17,320

Therefore, if the Coach chooses the Three-Year Plan, he will spend a total of $17,320 after 12 months.

Answer:

-14 = k

Step-by-step explanation:

44 = k+58

Subtract 58 from each side.

44-58 = k+58-58

-14 = k

The letter "V" in the equation XXX × YV=••••+666=799Y is replaced by the number 89.

The equation can be simplified to XXX × YV=1335.

If both sides of the equation are divided by 3, X × YV = 445.

If now all the X's is replaced with 5's, 5 × YV = 445.

This gives the following equation:

5 × YV = 445

Now multiply both sides of the equation by Y, to get 5Y = 445.

This gives us the following equation:

5Y = 445

Finally, divide both sides of the equation by 5, to get Y=89.

Therefore, the letter "V" in the equation XXX × YV=••••+666=799Y is replaced by the number 89.

Find out more on simplifying equations here: https://brainly.com/question/432678

#SPJ1

Answer:

f(x) = x^2 - 5x + 6

f'(x) = 2x - 5

Since the slope of h(x) is 1/3, the slope of the tangent line to f(x) will have slope -3.

2x - 5 = -3

2x = 2, so x = 1

Answer: There are 32,760 color arrangements possible for painting the bedroom, garage, office, and bathroom with different colors chosen from 15 options.

Step-by-step explanation: To determine the number of color arrangements possible for painting the bedroom, garage, office, and bathroom with different colors chosen from 15 options, we need to calculate the number of permutations.

Since each room is assigned a different color, we can arrange the colors in a specific order. The number of ways to arrange 15 colors in 4 distinct positions is given by the permutation formula:

P(n, r) = n! / (n - r)!

where n is the total number of options (15 colors) and r is the number of positions (4 rooms).

Using the formula, the number of color arrangements possible is:

P(15, 4) = 15! / (15 - 4)!

= 15! / 11!

= (15 * 14 * 13 * 12) / (4 * 3 * 2 * 1)

= 32,760

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

Learn more about box-and-whisker plots on:

brainly.com/question/27849170

#SPJ1

Answer:

C

Step-by-step explanation:

Both equations are the same

The value of x is 45 in the provided assertion, and the Centerior angles do sum up to 180°, indicating that AD and BC are parallel.

We have,

Parallel in mathematics refers to two lines which never cross one another; picture an equal symbol. Three close pals' parallel lives could be depicted in a tale.

(a)

3x + x + 2x + 90 = 360

6x = 360 - 90

6x = 270

x = 45

(b) The answer will be yes, they would be parallel.

We can justify this using co-interior angles, which state that 2 angles subtended by parallel lines add up to 180°

We can check this with both angles 3x & x, or 2x & 90°.

If AD and BC are parallel, then 3x + x = 180, and since you already found the value of x we can substitute this in:

3(45) + (45) = 180

135 + 45 = 180

180 = 180

So the co-interior angles do add up to 180°, which means that AD and BC are parallel.

To know more about Parallel visit:

brainly.com/question/24607467

#SPJ1

Answer:

$2174.40

Step-by-step explanation:

2150+1721+829+300=5000

They sold 5000 tickets last month.

300÷5000=0.06

So 6% of the tickets each month are romance.

They expect to sell 8000 next month.

8000x.06=480

They should sell 480 romance tickets next month.

480x4.53=2174.40

Answer:

the answer is 10.63km/L.

The graph of the functions f(x) and g(x) is given below.

Given that:

Function, f(x) = x³

Translated function, g(x) = (x + 6)³

If the function is translated by 'h' units horizontally and 'k' units vertically, then x and y are replaced with (x - h) and (y - k), respectively.

The curve of the function g(x) is translated left side by 6 units.

The graph of the functions is given below.

More about the transformation of the function link is given below.

https://brainly.com/question/13810353

#SPJ1

Answer:

A. Point estimates are used to make inferences about population parameters.

Answer: 12.1

Step-by-step explanation: rounding 12.083 to the nearest tenth will leave you with- 12.1

hope this helps!

Step-by-step explanation:

Using the roots given in order given:

y=  ( x+4)(x+2)(x-4)(x-2)     would  fit the bill.....

Answer: 0

Step-by-step explanation:8th Place 100*10 1000th Place is 0

From matrix property it can be showed that A=B.

Given,

If A,B and x are matrices with x≠0 and AX=BX

Now.

X must be non-singular matrix because

A[tex]XX^{-1}[/tex]=B[tex]XX^{-1}[/tex]

[tex]XX^{-1}[/tex]  = I( identity matrix )

AI = BI

A = B

Hence Proved, A = B .

Learn more about Matrix property,

https://brainly.com/question/11523230

#SPJ1

Answer:

23x+250 and that would equal your total cost

The quartiles of rainfall in April for the city are:

The quartiles refers to the e values that split sorted data into four parts each with an equal number of observations

To determine quartiles, we first need to sort the data in ascending order which are:

[tex]0.76, 1.08, 1.32, 1.55, 1.83, 2.09, 2.57, 2.83, 3.01, 3.25,\\3.63, 3.78, 4.09, 4.32, 4.64, 4.93, 5.23, 5.34, 5.44, 5.73[/tex]

There are 20 data points, so, median (Q2) will be the average of the 10th and 11th values.

Q2 = (3.25 + 3.63) / 2

Q2 = 3.44.

Q1 = (1.83 + 2.09) / 2

Q1 = 1.96.

Q3 = (4.64 + 4.93) / 2

Q3 = 4.79.

Read more about quartiles

brainly.com/question/28169373

#SPJ1

The graph of g(x) will have the same shape as f(x), but every y-coordinate will be increased by 4 units,The graph of h(x) will have the same shape as f(x), but every x-coordinate will be decreased by 1 unit,The graph of k(x) is 20 and every y-coordinate is increased by 10 units and the graph of m(x) is horizontally squeezed.

To describe the graphs of the given functions, let's first analyze the effects of the transformations applied to the original function f(x) = 5 sin(x).

1. g(x) = 5 sin(x) + 4:

The function g(x) is obtained by vertically shifting the graph of f(x) by 4 units upward. This means that the graph of g(x) will have the same shape as f(x), but every y-coordinate will be increased by 4 units.

2. h(x) = 5 sin(x + 1):

The function h(x) is obtained by horizontally shifting the graph of f(x) to the left by 1 unit. This means that the graph of h(x) will have the same shape as f(x), but every x-coordinate will be decreased by 1 unit. The period of the function remains the same.

3. k(x) = 20 sin(x) + 10:

The function k(x) is obtained by vertically stretching the graph of f(x) by a factor of 20 and then shifting it 10 units upward. This means that the amplitude of the graph of k(x) is 20 (compared to the amplitude of 5 in f(x)), and every y-coordinate is increased by 10 units.

4. m(x) = 5 sin(4x - 1):

The function m(x) is obtained by compressing the graph of f(x) horizontally by a factor of 4, reflecting it across the y-axis, and shifting it 1 unit to the right. This means that the period of m(x) is 1/4 of the period of f(x), and the graph is horizontally squeezed. The reflection across the y-axis means that the graph of m(x) will be inverted compared to f(x). The amplitude remains the same.

Remember that the graph of the original function f(x) = 5 sin(x) represents a sine wave with an amplitude of 5 and a period of 2π. Applying the transformations described above will modify the position, scale, and shape of the graph, resulting in the respective graphs for each function g(x), h(x), k(x), and m(x).

For more such questions on graph,click on

https://brainly.com/question/19040584

#SPJ8  

Answer:

1/10

Step-by-step explanation:

2/5 * 1/4 = 2/20 = 1/10

2 right answers, 5 possible choices

Select one right choice = 2/5

After selecting one right choice, there are 4 possible choices with one more right choice left.
Select another right choice = 1/4

Answer:Set up a proportion, letting = the amount of cubic millimeters in 1,000 cubic centimeters. Solve for : 1,000,000 cubic millimeters are in 1,000 cubic centimeters.

The equivalent value of the equation is 18x-9=72 and x=4.5

Given data ,

Let the equation be represented as A

Now , the value of A is

(3/5)(30x-15)=72

On simplifying the equation , we get

3(6x-3)=72

On further simplification , we get

18x-9=72

x=81/18

x=4.5

Hence , the equation is 18x-9=72

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1