A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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As a result, the limit value is 0. This indicates that the derivative of the function f(x) = x² when x = -5 equals zero.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The limit in question is a definition of the derivative of a function at a point. In this case, we want to evaluate the limit as h approaches 0 of the expression (f(x + h) - f(x)) / h, where f(x) = x² and x = -5.

Substituting the given values, we have:

lim _h right arrow 0 (x² + h²- x²) / h = lim _h right arrow 0 h² / h = lim _h right arrow 0 h = 0

So the value of the limit is 0. This means that the derivative of the function f(x) = x² at the point x = -5 is equal to 0.

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The correct interpretation of the standard error of the mean is that :

If we select many random samples of adults who do not currently run and assign them to this training program, the sample mean amount of time needed to adjust to this workout would typically vary by about 2.2 days from the population mean.

Given that,

A trainer would like to estimate the number of runs of the same length and same speed it takes for an individual’s body to adjust to the activity.

trainer selects a random sample of 30 adults who do not currently run and assigns them to run 1 mile at a 12-minute pace every day until they can do so easily.

Standard error of the mean = 2.2 days

Standard error is the deviation by which the sample mean deviates from the population mean.

So if we select as many samples as the sample type of people for the same activity, the sample mean vary by about 2.2 days from the population mean.

Hence the correct option is B.

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The probability of exactly 5 occurrences is (Rounding to three Decimal places), we get P(X ≤ 3) ≈ 0.251.

a) The probability of exactly 5 occurrences is given by the Poisson probability mass function:

P(X = 5) = (e^(-λ) * λ^5) / 5! = (e^(-5.1) * 5.1^5) / 120 ≈ 0.1755

Rounding to four decimal places, we get P(X = 5) ≈ 0.1755.

b) The probability of more than 6 occurrences can be calculated as the complement of the probability of 6 or fewer occurrences:

P(X > 6) = 1 - P(X ≤ 6) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6))

Using the Poisson probability mass function and the given value of λ, we can calculate each of the probabilities:

P(X = 0) ≈ 0.006

P(X = 1) ≈ 0.031

P(X = 2) ≈ 0.079

P(X = 3) ≈ 0.135

P(X = 4) ≈ 0.174

P(X = 5) ≈ 0.1755

P(X = 6) ≈ 0.1493

Substituting these values into the formula, we get:

P(X > 6) ≈ 1 - (0.006 + 0.031 + 0.079 + 0.135 + 0.174 + 0.1755 + 0.1493) ≈ 0.249

Rounding to three decimal places, we get P(X > 6) ≈ 0.249.

c) The probability of 3 or fewer occurrences is given by the cumulative distribution function:

P(X ≤ 3) = ∑ P(X = k), for k = 0, 1, 2, 3.

Using the Poisson probability mass function and the given value of λ, we can calculate each of the probabilities:

P(X = 0) ≈ 0.006

P(X = 1) ≈ 0.031

P(X = 2) ≈ 0.079

P(X = 3) ≈ 0.135

Adding these probabilities, we get: P(X ≤ 3) ≈ 0.251

Rounding to three decimal places, we get P(X ≤ 3) ≈ 0.251.

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The price for product A is Ksh 55,000 and the price for product B is Ksh 32,000.

What is the selling price?

The price you will pay to purchase a share or any other commodity is known as the "buy" or "bid" price. The price you will receive when you sell that share or commodity is the "sell" or "ask" price.

Here, we have

Given: Tom and John are engaged in buying and selling certain products A and B. Tom buys 5 of product A but sells twice as much of product B. John on the other hand sells three times what Tom bought of product A and buys 13 of product B. At the end of the business day, John banks Ksh 110,000/- while Tom banks Ksh 230,000.

Let's assume that the cost price for both products A and B is "x", and the selling price for both products A and B is "y". We can use this information to set up two equations, one for Tom and one for John, that relate the costs and profits for the two products:

Tom: 5x - 2(5y) = P₁

John: 3(5x) - 13x = P₂

where  P₁ and P₂ are the profits made by Tom and John, respectively.

We know that at the end of the business day, John banks Ksh 110,000/- while Tom banks Ksh

230,000. So we can write:

P₁ = 230,000 - 5x

 P₂ = 110,000 - 18x

Substituting these values into the equations for Tom and John, we get:

5x - 2(5y) = 230.000 - 5x

Simplifying these equations, we get:

10x - 10y = 230,000

2x = 110,000

x = 55,000

Substituting this value back into the first equation, we can solve for y:

10(55,000) - 10y = 230,000

Simplifying this equation, we get:

y = 32,000

Hence, the price for product A is Ksh 55,000 and the price for product B is Ksh 32,000.

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(a) The amplitude of the function is 2.

(b) The amplitude of the function is 3.

Amplitude is interval between the resting position and the maximum migration of the wave.

Formula for amplitude of the function is:

y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.

Given:

(a) y = 2 cos [3(Ф + 45)]

Formula for amplitude is:

y = A cos (ωt + Ф)

(b) y = 3 sin [2(Ф - 90)]

Formula for amplitude is

y = A sin (ωt + Ф)

After compare amplitude with equation than we get amplitudes are 2 and 3.

Therefore, the amplitude of the following function are 2 and 3 respectively.

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The standard form of  \(3+2 \cdot \frac{1}{10} +4 \cdot \frac{1}{1000}\) is 3.204

Explanation :

Given : \(3+2 \cdot \frac{1}{10} +4 \cdot \frac{1}{1000}\)

Lets convert fractions into decimals

\(\frac{1}{10} =0.1\\\frac{1}{1000}=0.001\)

Now 2 times 0.1 becomes 0.2

Also 4 times 0.001 becomes 0.004

So the given expression becomes

\(3+2 \cdot \frac{1}{10} +4 \cdot \frac{1}{1000}\\3+2 \cdot 0.1+4 \cdot 0.001\\3+0.2+0.004\\3.204\)

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Answer: 25.7495 full: 25.75 rounded

Step-by-step explanation: Multiply 16*0.62, simple. From that you get 25.7495 Then, since there is a 9 after the four, you would round the 4 up to a 5.

Answer:

25.8

Step-by-step explanation:

Hope You have an nice day and God bless you! :)

Answer:

It Is!

Step-by-step explanation:

"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."

Answer:

Step-by-step explanation:

20%

II.  f(x) doubles for each increase of 1 in the x values.  Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes  f(x) = a*2^x.  Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.

Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

So this angle is an acute angle so it would be around 60 so i think its D

Step-by-step explanation:

can i have brainliest

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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The instantaneous velocity must be v= 265 at t=2

The height in feet after t second is given by y(t)=95t−16t^2.

Average velocity is defined by:

\(v_{ave} = \frac{x_{f} -x_{i} }{t_{f} -t_{i} }\)

i)

\(t_{i}\) = 2

\(x_{i}\)=y(2)=174

\(t_{f}\)=2+0.1

\(x_{f}\) = y(2+0.1) = 365.4

\(v_{ave}\) = 280.54

ii)

\(t_{i}\) = 2

\(x_{i}\)=y(2)=174

\(t_{f}\)=2+0.01

\(x_{f}\) = y(2+0.01) = 349.74

\(v_{ave}\) = 264.88

iii)

\(t_{i}\) = 2

\(x_{i}\)=y(2)=174

\(t_{f}\)=2+0.001

\(x_{f}\) = y(2+0.001) = 348.174

\(v_{ave}\) = 263.316

Instantaneous velocity is defined by: \(v= lim_{t-0} \frac{delta x}{delta t}\)

When, delta t = 0, v = 265

So instantaneous velocity must be v= 265 at t=2

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The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

It's an Expression.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

multiply 15 x 2

Answer:

m=4

best of luck!

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

6+4m-1=21

(6-1=) 5+4m=21

21-5=16

16÷4m = 4

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

Answer:

facts

Step-by-step explanation:

Answer:

\(y= 9/4x+5\)

Step-by-step explanation:

I'll go over #7 and you should be able to do the rest.

Slope intercept form general equation is:

y = mx + b

I bolded the value you need to change/find.

m is the slope

b is the y-intercept

You can calculate m using:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4

\(m=\frac{5-(-4)}{0-(-4)}=9/4\)

Plug your value into the point-slope formula.

\(y = m(x-x_1)+y_1\)

\(y = (9/4)(x-(-4))+(-4)\)   simplify it

\(y= 9/4x+5\)  the simplified form is the slope-intercept formula

The range of the function is given by the definition presented as follows:

y ≤ 6.

The range of a function is the set that is composed by all the output values on a function.

Hence, considering the graph of the function, the range of a function is composed by the values of y of the function, which are given on the vertical axis of the graph.

The maximum value of the function in this problem is given as follows:

y = 6.

We suppose that the linear function is defined for all values until x = 4, hence the range is given by the following interval.

y ≤ 6.

Meaning that all the values of y that are less than six are on the range of the graphed linear function.

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Answer:

To round a number to the nearest 100, look at the tens digit. If the tens digit is 5 or more, round up. If the tens digit is 4 or less, round down. The tens digit in 3281 is 8.

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

For this problem, we have that:

We dont know the true proportion, so we use \(\pi = 0.5\), which is when we are are going to need the largest sample size.

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.04\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.04}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2\)

\(n = 600.25\)

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.02\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.02}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2\)

\(n = 2401\)

The minimum sample size is 2401.

Answer: \(-\frac{1}{2}\)

Step-by-step explanation:

To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.

\(x+2y=16\)             [subtract both sides by x]

\(2y=-x+16\)          [divide both sides by 2]

\(y=-\frac{1}{2}x+8\)

Now, we know that \(m=-\frac{1}{2}\). That tells us \(-\frac{1}{2}\) is the slope.

Step-by-step explanation:

x+2y=16

-× -×

2y=-x+16

÷2. ÷2

y=-1/2x+8

slope is -1/2

Answer:

171.2

Step-by-step explanation:

7% x 160 = 11.2

11.2 + 160 = 171.2

Answer:

7, 11, 13, 17, 19 and 23

Step-by-step explanation:

Answer:

7,11,13,17,23

hope it helps

thank you

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Answer:

-3

Step-by-step explanation:

I Think :D