You toss a coin 50 times and observe 35 heads. You can conclude that:Question 4 options:a) this coin is not fair, but is weighted to land heads-up.b) the true probability of getting a head on any random flip of this coin could be far from 0.70.c) the probability of getting a head on any random flip of this coin is 0.70.d) you are not very good at coin-flipping since you should get 25 heads if you're doing it correctly.

Answer:the first one is x=2 y=3

Step-by-step explanation:2 times 2 is 4 and 4 times 3 is 12 12 plus 4 is 16

Answer: (8,0)

x=8 & y=0

Step-by-step explanation:

1. Solve for y for the first equation which will give you y = 4 - 1/2x

2. Plug in y = 4 - 1/2 to the other equation 3x - 2 (4-1/2x)=8

3. Slove for x which will give be 8

3. plug 8 back to 4 - 1/2 (8) so you'll get y = 0

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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Answer:  E, A, D, C, B

Step-by-step explanation:

First, we need to get y alone. So we will add 7 to the side of the equation that has the 4y in it.

So the first one will be.

Add 7 to both sides of the equation.

Now the second one is

4y = 25 + 7  Because what you do to one side of the equation, you do to the other. So we add 7 to 25.

Then the 3rd one will be 4y = 32  because 25+7 is equal to 32. But we still have that 4y on the other side of the equation. So the next equation is 4y = 32.

The second to last step is Divide both sides by 4  because thats

how you isolate y. So once you divide both sides by 4. You will get 8. Leading you into the next and final step.

Y = 8

And thats how you do it!

The balance at the end of 3rd month is $899.91.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

A person decide to buy a guitar for $1257. With tax the total comes to $1357.56 and the monthly interest rate is 1.7%.

Monthly payment is $150.

Monthly payment including interest

= 150+1.7% of 150

= 150+1.7/100 ×150

= 150+0.017×150

= 150+2.55

= $152.55

So, balance at the end of 3rd month

= 1357.56-3(152.55)

= 1357.56-457.65

= $899.91

Therefore, the balance at the end of 3rd month is $899.91.

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Answer

$79.45

Use the simple interest formula

A= P(1+rt)

A = 70(1+0.045×3)

And you solve, which gives you 79.45

Answer:

$79.45

Step-by-step explanation:

To find the total amount of money in her account, we can use the following formula:

\(\boxed {A = P(1 + rt)}\)

where:

A = final amount (?)

P = principal (original) amount ($70.00)

r = interest rate (4.5% = 0.045)

t = time (3 years).

Substituting the values into the formula:

\(A = 70(1 + 0.045 \times 3)\)

   = \(70(1.135)\)

   = $79.45

∴ She has $79.45 in her savings account at the end of three years.

If a function is given in the form of \(y=mx+b\),

it's a linear function with,

\(m=\) Slope of the line

\(b=\) y-intercept

It's given in the question that,

        \(y=9x\)

        Here, y = Number of slices

                  x = Number of apples

For the given linear equation,

Slope of the line 'm' = 9

y-intercept of the line = 0

Since, y-intercept of the line is zero, line will pass through the origin (0, 0).

From graph (2),

Slope of the line = \(\frac{\text{Rise}}{\text{Run}}\)

                           = \(\frac{9}{1}\)

                           = 9

y-intercept of the line = 0

         Therefore, graph (2) (from the left) will show the relationship between the number of slices and the number of apples.  

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Answer: B

Step-by-step explanation:

I got it right

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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its true

they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar

if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar

Answer:

C) -0.91

Step-by-step explanation:

A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.

Answer:

c

Step-by-step explanation:

we can write walk up 83 stairs as a positive integer +83/83.

What are integers?

Integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers. The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.

Integers come in three types:

Zero (0)

Positive Integers (Natural numbers)

Negative Integers (Additive inverse of Natural Numbers)

As we write walking down in negative integers and walking up in

positive integers.

Hence,

  we can write walk up 83 stairs as a positive integer +83/83.

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Stephen suggests using at least 20 questions in a baseline survey.

Stephen suggests using at least 20 questions in a baseline survey. Baseline survey refers to the gathering of data from a sample or population to obtain a set of measures that can be used to assess the current status of the population or sample of interest. The goal of a baseline survey is to generate an understanding of the status of a particular variable(s) at the outset of an intervention.Stephen recommends using at least 20 questions in a baseline survey as a general rule of thumb. In addition to using at least 20 questions in a baseline survey, it is important to pay close attention to the type of questions asked, the format of the questions, and the phrasing of the questions to ensure that the responses obtained are reliable and valid

Stephen suggests using at least 20 questions in a baseline survey. The goal of a baseline survey is to generate an understanding of the status of a particular variable(s) at the outset of an intervention. In addition to using at least 20 questions in a baseline survey, it is important to pay close attention to the type of questions asked, the format of the questions, and the phrasing of the questions to ensure that the responses obtained are reliable and valid.

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The graph of the function is decreasing in the interval 2.

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Answer:

7 hours

every hour she makes $21

Step-by-step explanation:

378÷18=21

147÷21=7

7 hours

378÷18=21$/h in ONE hour Salma makes 21$ so you have to do 147÷21=7h

Answer:

$28

Step-by-step explanation:

5.5%=0.055

1.54/0.055=28

Answer:

x = 1

Step-by-step explanation:

Note that triangle ABC is congruent to triangle DEF by SAS congruency

Thus, using CPCTC, BC - FE

or

: 13x-12 = 7x-6

: 6x = 6

: x = 1

:]

The "million" part is already taken care of by your teacher.  

====================================================

Explanation:

x = profit last year (millions of dollars)

x+2.54 = profit this year, which is 2.54 million more than last year

x+2.54 = 1.38

x = 1.38-2.54

x = -1.16

The profit last year was -1.16 million dollars

This is the same as writing -1,160,000 dollars of profit.

A negative profit indicates that the company lost money. This is when the company is spending more than what they earn (i.e. they are in some kind of debt).

Answer:

No solution.

Step-by-step explanation:

Step 1: Write inequality

3(x - 2) + 1 ≥ x + 2(x + 2)

Step 2: Solve for x

Here we see that the statement is false. Therefore, you cannot solve for the inequality.

Answer:

Your answer is: No solution

Step-by-step explanation:

There are no values of  x  that make the inequality true.

Hope this helped : )

The correct answer is

x+9

Step-by-step explanation:

The volume of a cube = L³

since  216 in³ = L³

then    L = ∛(216 in³)

              = 6 in

Since the dimension of a face is L × L

The dimensions of one face of the container are 6 inches by 6 inches.

Imagine a cube-shaped container. Each side, or face, of the cube has the same length, width, and height.

In this case, the volume of the cube container is given as 216 cubic inches.

This means that if we were to fill the cube with smaller cubes, each having a volume of 1 cubic inch, we would need 216 of these smaller cubes to completely fill the container.

Now, let's find the edge length of the cube.

We know that the volume of a cube is given by the formula V = side³, where "side" represents the length of one edge of the cube.

In our case, V = 216 cubic inches, so we can solve for "side":

216 = side³

To find the side length, we need to find the cube root of 216:

side = ∛216 ≈ 6 inches

Therefore, each edge of the cube is approximately 6 inches long.

Since all sides of a cube are equal, the dimensions of one face of the container are 6 inches by 6 inches.

This means that each face of the container has an area of 6 * 6 = 36 square inches.

In summary, the cube-shaped container has an edge length of approximately 6 inches, making each face of the container a square with dimensions 6 inches by 6 inches, and an area of 36 square inches.

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Answer:

2,781

Step-by-step explanation:

309x9=2,781

Answer: y-5=2(x-1)

Step-by-step explanation: you simply use the point given and turn the also given equation into a point slope form.

High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.

A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.

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Answer:

he saved about 2300$

Step-by-step explanation:

Answer:

I believe the answer is 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. The expected net operating income each year from the water slide is $238,150.

2. The simple rate of return expected from the water slide is 12.5%.

Let us discuss in a detailed way:

⇒ To calculate the net operating income, we need to consider the additional revenue from increased attendance and subtract the incremental operating expenses.

The additional attendance from the water slide is estimated to be 50,000 people per year. With an admission price of $5.00 per person, the additional revenue would be $250,000 ($5.00 x 50,000).

The incremental operating expenses for the water slide amount to $126,800 ($95,000 + $5,800 + $14,600 + $11,400).

Therefore, the expected net operating income each year is $238,150 ($250,000 - $126,800).

⇒ The simple rate of return is calculated by dividing the average annual net income by the initial investment cost and expressing it as a percentage.

The average annual net income is calculated by subtracting the annual operating expenses from the additional revenue generated. In this case, the average annual net income is $113,350 ($238,150 - $124,800).

The initial investment cost is $525,000.

Using these values, the simple rate of return is 21.6% ($113,350 / $525,000).

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Answer:

$105

Step-by-step explanation:

5 + 1 (100)

5 + 100

105

Answer:

\(n=4\)

Step-by-step explanation:

Expand  −2(1−7n):    −2+14n

5n+34=−2+14n

Subtract 34 from both sides

5n+34−34=−2+14n−34

Simplify

5n=14n−36

Subtract 14n from both sides

5n−14n=14n−36−14n

Simplify

−9n=−36

Divide both sides by −9

−9n

−9 =

−36

−9

Simplify

n=4​