After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly reorganizes the subjects into two groups, A and B, of size 25. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.

After each simulation, she subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram.

In the original experiment, the average for the treatment
group was 1.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 higher than the average for group B?

Answer Choices:

A: 1
B: 5
C: 1.6
D: 2

Answer:

\({ \tt{rx - st = r}}\)

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

\({ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}\)

» On the left hand side, factorise out r

\({ \tt{ \green{r(x - 1)} = st}} \\ \\ { \boxed{ \tt{ \blue{ \: r = \frac{st}{x - 1} }}}}\)

Answer:

100/35 = 2

35 goes into 100 2 times

Step-by-step explanation:

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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Given a jar of candy that has a certain number of pieces of candy. The given data also tells that a total of 16 pieces are excluded from each color except yellow, where 18 pieces are excluded. The objective is to determine the number of pieces of each color and the total number of candy pieces.Except for 16 pieces, all the candy is red.

It means that there are 16 red candies in the jar that are not included in this count. Let us assume that there are "r" red candies in the jar.Therefore, the total number of red candies is:r + 16.

Except for 16 pieces, all candy is blue.Similarly, we can assume that there are "b" blue candies in the jar.Therefore, the total number of blue candies is:b + 16.

Except for 16 pieces, all candy is green.Likewise, we can assume that there are "g" green candies in the jar.So, the total number of green candies is:g + 16.

Except for 18 pieces, all candy is yellow.We can assume that there are "y" yellow candies in the jar.Therefore, the total number of yellow candies is:y + 18.

The total number of candy pieces in the jar can be obtained by adding all the individual pieces of each color. That is:Total candy pieces

= (r + 16) + (b + 16) + (g + 16) + (y + 18)

Total candy pieces

= r + b + g + y + 66

Now, we will solve this system of equations using the values obtained above

:r + b + g = y + 50y = r + b + g + 18

We need to substitute the second equation in the first equation,

r + b + g = r + b + g + 18 + 50r + b + g = r + b + g + 68

This simplifies to 50 = 68, which is not possible.

Therefore, the given information is inconsistent.

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Since +(-) becomes (-) we can write the given problem as

15.6-1.8

Subtraction gives us 13.8

:)

Answer:

$0.75

Step-by-step explanation:

Since f(x) is linear, the rate of change is is the coefficient of x

The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

Answer:

f(x) = 15 (3) ^x

Step-by-step explanation:

The form of an exponential function is

y = a b^x

a is the initial value  so a = 15

y = 15 b^x

b > 1 when there is growth so

f(x) = 15 (3) ^x

Answer:

737 747 4

Step-by-step explanation:

74747747

An example of a function that is discontinuous at one and only one point in its domain but is continuous at every other point is the function

This function is continuous at every point in its domain, which is the set of all real numbers (-infinity < x < infinity). However, at the point x = 0, the function is discontinuous.

At x = 0, the function f(x) = x^2 is equal to 0, but if we approach the point x = 0 from the left (x = -0.1, -0.01, etc.), the function is equal to a negative value (-0.01, -0.0001, etc.), and if we approach the point x = 0 from the right (x = 0.1, 0.01, etc.), the function is equal to a positive value (0.01, 0.0001, etc.). This means that the function is not continuous at the point x = 0, and is therefore discontinuous at this point.

The point of discontinuity in this example is an essential discontinuity, which means that it cannot be removed by redefining the function at that point. This is because the function f(x) = x^2 is defined differently for x < 0 and x > 0, and there is no way to redefine the function at x = 0 to make it continuous.

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The dy/dx of equation  \(x^{3} -3x^{2} y+2xy^{2} =12\) is \((6xy-3x^{2} -2y^{2} )/(4xy-3x^{2})\).

Given an equation \(x^{3} -3x^{2} y+2xy^{2} =12\).

We are required to find dy/dx of the equation.

Equation is like a relationship between two or more variables that are expressed in equal to form. Equations of two variables look like ax+by=c.

Differentiation is basically finding the change in variables.

It may be linear equation, quadratic equation,cubic equation or many more depending on the power of the variable present in the equation.

Equation:\(x^{3} -3x^{2} y+2xy^{2} =12\)

Differentiating with respect to x.

3\(x^{2}\)-3(\(x^{2}\)*dy/dx+y*2x)+2(x*2y*dy/dx+\(y^{2}\))=0

3\(x^{2} -3x^{2} dy/dx-6xy+4xy dy/dx+2y^{2}\)=0

Taking dy/dx at one side and take the other part to other end.

\(-3x^{2} dy/dx+4xy dy/dx\)=\(6xy-3x^{2} -2y^{2}\)

dy/dx=\((6xy-3x^{2} -2y^{2})/(4xy-3x^{2} )\)

Hence the dy/dx of equation  \(x^{3} -3x^{2} y+2xy^{2} =12\) is \((6xy-3x^{2} -2y^{2} )/(4xy-3x^{2})\).

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By the zero product property, the expression is equivalent to zero if one of the factors of an expression is equal to zero.

Given each solution a. we can find a factor (x-a) of the polynomial and then multiply the factors to get the polynomial

x =3 The factor is : (x - 3)

x = -3 The factor is: (x + 3)

For 3i and -3i,

i = ±√-1

x = ±3i

let's take the square of both-side

x² = -9

The factor is : (x² +9 )

The polynomial p(x) = (x -3)(x+3)(x² +9)

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Step-by-step explanation:

pls send a picture for better clarification of the questions

The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

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Answer:

1) x=4-y-z

2) x=-12+4y-4z/3

3) x=-1+y+4z/2

Step-by-step explanation:

1) Subtract y+z from both sides.

x+y+z-(y+z)=4-(y+z)

Simplify

x=4-y-z

2) Subtract -4y+4z from both sides.

-4y+4z-(-4y+4z)=12-(-4y+4z)

Simplify

-3x=12+4y-4z

Divide both sides by -3

-3x/-3=12/-3+4y/-3-4z/-3

x=-12+4y-4z/3

3) Subtract -y-4z from both sides.

2x-y-4z-(-y-4z)=-1-(-y-4z)

Simplify

2x=-1+y+4z

Divide both sides by 2

2x/2=-1/2+y/2+4z/2

Simplify

x=-1+y+4z/2

Hope this helps! Pls give brainliest!

cdf of U(n) = Var(Sn)=1

A standard function is one that is defined on an interval of R and is acquired by a finite series of standard operations beginning with any three fundamental functions.

f(x) = x is the identity function. f(x) = exp, an exponential function (x)

given

let U1, . . . ],

U(n) be their maximum

so cdf of U(n) =does not have a limiting distribution.

Why will a pub and up be equal to zero when Y is less than and one win in is less than the other.

There isn't a standard distribution function that can match this limit everywhere.

hence  cdf of U(n) = Var(Sn)=1

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The translation of the given graph has done in two steps.

1. Horizontal shift of 5 units to the left

2. Vertical shift of 4 units in the downwards direction.

"The translation of a graph is its rigid movement, vertically or horizontally."

The given translation of graph is:

\(y = (x - 6)^{2} + 7\) to \(y = (x - 1)^{2} + 3\)

Here, two types of translation has done to the first graph.

1. First of all, there is a horizontal shift of 5 units to the left has done.

\(y = (x - 6)^{2}\) ⇒ \(y = [(x - 1) - 5)]^{2}\)

2.After that, there is a vertical shift of 4 units in the downwards direction.

\(y = (x - 6)^{2} + 7\)  ⇒ \(y = (x - 1)^{2} + 3\)

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Answer:90 shirts

Step-by-step explanation: do 1.5 x 1.6 = that answer and + 60 to that answer ok

Answer:

-610, -94, -0.75, 2.1, 53

Answer:

36

Step-by-step explanation:

x = 9 and y = 3

3 times 3 equal 9 so if y is 12 then 12 x 3 = 36

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

........................

Answer: \(\sqrt[3]{a}\)

Step-by-step explanation:

Just as the square root is \(\sqrt[2]{a}\), the cube root is \(\sqrt[3]{a}\)

Hope it helps <3

Answer:

\(\sqrt[3]{a}\)

Step-by-step explanation:

a cube root of a number x is a number a such that a³ = x.

Answer:

P(x)=\((40000)( 0.98)^x\)

A=40000    B=0.98
P(7)= 34700

Step-by-step explanation:

Notice the population can be modeled as:

P(x)=\(A B^x\)

For X=0 P(0)=40000=A (Initial population)
So A=40000
For x=1 (one year after) P=39200

\(39200=40000 B^1\)
solving for B
\(B=\frac{39200}{40000} =0.98\)
So B=0.98

So the population can be modeled as

P(x)=\((40000)( 0.98)^x\)

Now at 7 years:

P(7)=\((40000)( 0.98)^7\)= 34725.02133
Needs to be rounded to the nearest hundred
This is 34700 bonobos (7 years after the study began)

"The solutions to the equation are complex conjugates of each other" as Lindsey is solving the quadratic equation \(x^2\)−2x+6=0.

To solve the quadratic equation \(x^2 - 2x + 6 = 0\), Lindsey can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / 2a

In this case, a = 1, b = -2, and c = 6. Substituting these values into the formula, we get:

x = (-(-2) ± √(\((-2)^2\) - 4(1)(6))) / 2(1)

x = (2 ± √(-20)) / 2

Since the discriminant (\(b^2\) - 4ac) is negative, the square root of -20 is an imaginary number.

Therefore, the two solutions to the equation are complex conjugates of each other:

x = (1 + √5i) and x = (1 - √5i)

Thus, the correct statement is: "The solutions to the equation are complex conjugates of each other."

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Answer:

9

Step-by-step explanation:

13-9= 4

we can see the scaling factor as a fraction

This fraction relates the value of STU with respect to PQR

simplify the fraction

Answer:

780

Step-by-step explanation:

15*52=780