Order the numbers from least to greatest.

2.1,−610,−94,−0.75, 53
The order of the numbers from least to greatest is
,
,
,
,
.

Transformations that may have been used to construct A'B'C include a 90° upward rotation and a 3 unit up and 3 unit right shift.

Transformation in mathematics refers to the process of changing the position, size, or shape of a geometric object. The following are the most common types of transformations: Translation: It involves moving an object from one location to another without changing its size or orientation. Reflection: It involves flipping an object over a line of reflection, so that the object and its image are mirror images of each other. Rotation: It involves rotating an object around a fixed point, called the center of rotation. Dilation: It involves changing the size of an object, either making it larger or smaller, while preserving the shape of the object. Shear: It involves skewing an object in a given direction, causing its shape to be distorted. Similarity Transformation: It is a combination of transformations that preserve the shape of an object, but changes its size and orientation.

Here,

Triangle A’B’C’ is the image of triangle ABC. Transformations could have been used to create A’B’C,

Rotation of 90° upwards.

Shift of 3 units up and 3 units to the right.

Transformations could have been used to create A’B’C is Rotation of 90° upwards and Shift of 3 units up and 3 units to the right.

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Answer:

45

Step-by-step explanation:

divide 300 by 100 then multiply it by 15 to find how many people makes 15% of 300

300 ÷ 100 = 3 ➡ 3×15 = 45

The equation of the function in slope intercept form is: y = -³/₂x + 1

The general form of the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, the y-intercept is at y = 1

To get the slope, we will take two coordinates and we have:

(2, -2) and (-2, 4)

Slope = (4 + 2)/(-2 - 2)

Slope = 6/-4

Slope = -3/2

Equation of the line is:

y = -³/₂x + 1

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a), b), and d) are true statement.

a) Both the Wilcoxon Signed Rank Test and the Sign Test ignore some of the sample information by not using the actual observed values to compute the test statistics. They rely on ranks and signs of the differences instead.

b) The Sign test tends to be less powerful than the Wilcoxon Signed Rank Test because it only considers the direction of the differences and not the magnitude, which results in less sensitivity to detect differences between groups.

d) In some samples, analyses with different inference tools will draw similar conclusions, as they may agree on the significance of the results, despite differences in their assumptions and calculation methods.

However, statement c) is not true. A statistician should not always use the statistical test that results in the smallest p-value, as it is important to consider the assumptions and appropriateness of each test for the specific data and research question. Selecting a test based on the smallest p-value could lead to incorrect or misleading conclusions.

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For the given partially decoupled system, dv/dt = -v , v(0) = -1 and dy/dt = v , y(0) = 100

The value of the constant that appears when solving for y(t) i.e, c₂ is 99..

We have given that

dv/dt = -v ; v(0) = -1

By separtion of variables ,

dv/v = - dt

=> ₋₁∫ᵛ dv/v = ₀∫ᵗ -1 dt

=> ₋₁[ ln(v) ]ᵛ = ₀[ -t]ᵗ

=> ln(v) - (-ln(-1)) = -t - 0

=> ln(v/-1) = - t

=> -v = e⁻ᵗ

=> v = - e⁻ᵗ

Now, dy/dt = v = - e⁻ᵗ

Integrating both sides y = 0 to 100 and t =0 to t

₀∫ʸ 1dy = ₀∫ᵗ - e⁻ᵗ dt

=> ₀[ y ]ʸ = - ₀[- e⁻ᵗ ]ᵗ

=> y - 100 = e⁻ᵗ - 1/e⁰ (since y(0)= 100) => y - 100 = e⁻ᵗ - 1

=> y = e⁻ᵗ - 1 + 100

=> y = e⁻ᵗ + 99

Which is general solution of dy/dt .

So, the constant that appears when solving for y(t), c₂ is 99.

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Complete question:

dy/dt =v, y(0) = 100 ; dv/dt = -v , v(0) = - 1 ..This is a partially decoupled system. Solve for v(t) first by separation of variables. Then substitute into the second equation and solve for y(t). If C1 is the constant that is in the general solution for v(t), and C2 is the constant that appears when solving for y(t), what is the value of C2?

Answer:

[2, ∞)

Explanation:

Given f(x) defined below:

Compare the given quadratic function to the vertex form:

The vertex of the function, (h,k)=(-5,2)

What this means is that the minimum value of f(x) is 2.

Therefore, the range of the quadratic function is:

Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:

f(5) = 8*5+5 = 45

So, the value of f(5) is 45.

Answer:

1000 and 9000 and 40

Step-by-step explanation:

Answer:

they lost 2

Step-by-step explanation:

Answer:

17 kids have other kinds of pets

Answer:

i think its 12 hours

Step-by-step explanation:

use calculator

The standard deviation lies in the range of 0 to 1. The numerical value of standard deviation can never be negative.

The standard deviation is a measure of amount of variation or dispersion of a set of values. When we compare two unequal observations, the result is always greater than zero i.e., always positive.

Standard deviation is the square root of the variance of the observations and the root always gives values either positive or zero, it can never be negative.

Therefore, the numerical value of the standard deviation can be positive. The value of standard deviation is always greater or equal to zero.

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There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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The required sign between -12.7a and -12.7b should be greater than sign (>).

If a is less than b, then -12.7a will be greater than -12.7b, because multiplying a smaller number by a negative constant (-12.7 in this case) will result in a larger negative value than multiplying a larger number by the same constant.

To see this, suppose we have two positive numbers x and y such that x < y. Then, multiplying both by a negative constant c will result in two negative numbers with magnitudes that are greater for x:

cx < cy, because c is negative and (x < y)

Therefore, if a is less than b, then:

-12.7a > -12.7b

So the sign between -12.7a and -12.7b should be greater than sign (>).

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Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

y = -½x + 7

Step-by-step explanation:

Perpendicular lines have the product of their gradients equal to -1

For this to be true, since the first gradient is 2, the second gradient must be -½

So the first part is

y = -½x + c

We substitute our point to get c

5 = -½(4) + c

7 = c

Our line is

y = -½x + 7

FYI slope-intercept form is y = mx + c

Answer: I can’t see the pic it’s blank

Step-by-step explanation:

Answer:

maximum blanket size is;

21cm x 19cm

Step-by-step explanation:

Perimeter of the rectangle is;

P = 2W + 2L

Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket.

Thus;

2W + 2L = 80

Divide both sides by 2 to get;

W + L = 40

We want to find the maximum size of the blanket which is the 2 values that will give the maximum area.

Possible measurement include;

- 21cm x 19cm

- 22 cm x 18 cm

- 23 cm x 17 cm

- 24 cm x 16 cm

Looking at them all, the one with the largest area is 21cm x 19cm

Thus, maximum blanket size is;

21cm x 19cm

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

Answer:

x < -1

Step-by-step explanation:

7x + 6 < 3x + 2

7x - 3x + 6 < 2

7x - 3x < 2 - 6

4x < -4

x < -4 / 4

x < -1

Answer:

72

Step-by-step explanation:

because if you add 18, 4 times or 18 x 4 it will give your 72

hope this helps

The big O notation for the given code fragment with nested loops is O(n log n), indicating that the runtime grows proportionally to the product of the input size and its logarithm.

The big O notation for the given fragment can be determined by analyzing the nested loops.

The outer loop runs for every power of 2 from 1 to n, which is log₂(n) iterations.

The inner loop runs for n iterations regardless of the value of n.

Therefore, the total number of iterations can be calculated as the product of the iterations of the outer and inner loops, which is O(n log n).

In big O notation, the dominant term is the one that grows fastest as the input size (n) increases. In this case, the log n term dominates over the linear term, so the big O notation for the fragment is O(n log n).

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Answer:

(0,2)

Step-by-step explanation:

The equations must be derived from the graph:

First, find the slope of f(x):

\(m=\frac{y_2-y_1}{x_2-x_1}\) let \((x_1,y_1)=(-3,3)\) and \((x_2,y_2)=(3,1)\)

\(m=\frac{(1)-(3)}{(3)-(-3)}\\m=\frac{-2}{6}\\m=-\frac{1}{3}\)

Then use \(y-y_1=m(x-x_1)\)

\(y-3=-\frac{1}{3}[x-(-3)]\\y-3=-\frac{1}{3}x-1\\y=-\frac{1}{3}x+2\\f(x)=-\frac{1}{3}x+2\)

For g(x), let:

\((x_1,y_1)=(-3,0)\\(x_2,y_2)=(0,2)\)

\(m=\frac{(2)-(0)}{(0)-(-3)}\\m=\frac{2}{3}\)

\(y-0=\frac{2}{3}[x-(-3)]\\y=\frac{2}{3}x+2\\g(x)=\frac{2}{3}x+2\)

Now, to solve for x, allow the two expressions written in terms of x equal each other.

\(-\frac{1}{3}x+2=\frac{2}{3}x+2\\(-\frac{1}{3}x+2)+\frac{1}{3}x=(\frac{2}{3}x+2)+\frac{1}{3}x\\2=x+2\\(2)-2=(x+2)-2\\x=0\)

To solve for y, substitute 0 for x in f(x):

\(y=-\frac{1}{3}x+2\\y=-\frac{1}{3}(0)+2\\y=0+2\\y=2\)

So, the solution to this system of equations would be the ordered pair (0,2).  This solution is seen on the graph as the intersection of the two lines.

On dividing 28.5 by 10 we get 2.85.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is 28.5 divided by 10.

Assume that on dividing 28.5 by 10, we get [x]. Then -

10x = 28.5

x = 28.5/10

x = 2.85

Therefore, on dividing 28.5 by 10 we get 2.85.

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If the odds of a horse winning a race are 2 to 1, then the probability of this horse winning the race is approximately 2/3 or 0.6667.  This can be calculated as 1 divided by the sum of the odds plus 1.

The odds of a horse winning a race are typically expressed in the form of "a to b", where a represents the number of favorable outcomes (winning) and b represents the number of unfavorable outcomes (losing). In this case, the odds are 2 to 1, which means there are 2 favorable outcomes (winning) for every 1 unfavorable outcome (losing).

To convert odds to probability, we use the following formula:

Probability = a / (a + b)

In this case, the probability of the horse winning the race can be calculated as:

Probability = 2 / (2 + 1) = 2 / 3 ≈ 0.6667

Therefore, the probability of the horse winning the race is approximately 2/3 or 0.6667.

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The polynomial R(x) with integer coefficients that satisfies the given conditions is: R(x) = x^5 - 11x^4 + 44x^3 - 85x^2 + 90x - 100

To find a polynomial with integer coefficients that satisfies the given conditions, we can use the concept of polynomial factorization.

Given that the polynomial R has degree 4 and zeros 1, 2i, and 5 (with 5 having a multiplicity of 2), we can write R(x) as a product of its linear factors:

R(x) = (x - 1)(x - 2i)(x - 5)(x - 5)

Multiplying these factors, we get:

R(x) = (x - 1)(x^2 + 4)(x - 5)^2

Expanding this expression, we have:

R(x) = (x^3 - x^2 - 4x + 4)(x^2 - 10x + 25)

Further simplifying, we obtain:

R(x) = x^5 - 11x^4 + 44x^3 - 85x^2 + 90x - 100

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The table on the items produced by this company and the profits derived from these goods shows that the best model is y = -1.026x² + 1,016.402x - 162,075.

Find out the best model by testing all models assuming a given value of x. The model that gives a y value closest to the actual value is the best model.

Assuming x is 100:

= -1.026x² + 1,016.402x - 162,075

= (-1.026 x 100²) + (1,016.402 x 100) - 162,075

= -$70,694.80

Second model:

= -1.036x² + 1024.771x - 163710

= (-1.036 x 100²) + 1024.771 x 100 - 163710

= -$71,593

Third model:

=  298.214x - 66317.667

= 298.214 x 100 - 66317.667

= -$36,496.27

Fourth model:

= 196.2x - 18710

= 196.2 x 100 - 18,710

= $910

The best model is therefore the first model which shows the closest value to the actual y value of -$70,500 when x is 100.

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Answer: person on top is correct

Step-by-step explanation:

it’s A y=-1.026x^2+1016.402x-162075