Damian estimated that Lily would play puzzles
for 20 minutes, but she actually played for 38
minutes.
What was his percent error?

ANSWER: Well I say that your probability is low. 1/12

Answer:

13

Step-by-step explanation:

From the same external point, the tangent segments to a circle are equal.

NP = PQ

x + 6 = 2x - 7

6 + 7 = 2x - x

13 = x

x = 13

Answer:

x=13

Step-by-step explanation:

the two lines are equal

x+6=2x-7

6+7=2x-x ( isolate x )

13=x

Answer:

B

Step-by-step explanation:

Have a wonderful day

Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

The numerator of the z-score test statistic measures the difference between the sample mean and the population mean (or the hypothesized population mean, depending on the context) in terms of the standard error of the mean.

It can use z- test only if the population standard deviation is known (or given) and the sample is large (more than 30 units)

If the mean and standard deviation is known, then the z-score is calculated using the formula.

z = (x - μ) / σ

where x is data;

μ is the mean and σ is the standard deviation.

Thus, the actual distance between a sample mean x and a population mean µ is measured by the numerator of z- score test statistic.

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Answer:

358,358,358,359,363,363,364,366

Step-by-step explanation:

Answer:

We conclude that the range of the function will be:

R = {5, 17, 29}

Step-by-step explanation:

Given

Given the function

f(x) = 6x-1

Given the domain

D = {0, 3, 5}

To Determine:

The range R = ?

We know that range of the function consists of all the y-values for the x-values in the domain of the function.

so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.

Plug in x = 0

y = 6x-1

y = 6(0) - 1 = 6-1 = 5

Plug in x = 3

y = 6x-1

y = 6(3) - 1 = 18-1 = 17

Plug in x = 5

y = 6x-1

y = 6(5) - 1 = 30-1 = 29

Now, combine all the determined y-values which are 5, 17, and 29.

Therefore, we conclude that the range of the function will be:

R = {5, 17, 29}

The area of the rectangle is changing at a rate of 3 square inches per second.

We can use the formula for the derivative of the area of a rectangle with respect to its length and width:

\($\frac{dA}{dt} = \frac{dA}{dl} \cdot \frac{dl}{dt} + \frac{dA}{dw} \cdot \frac{dw}{dt}$\)

where A is the area of the rectangle, l is the length, w is the width, t is time, and the derivatives are taken with respect to the given variables.

Plugging in the given values, we have:

\($A = lw, \frac{dl}{dt} = 4, \frac{dw}{dt} = -3, l = 23, w = 18$\)

Taking the partial derivatives of A with respect to l and w, we get:

\($\frac{dA}{dl} = w, \frac{dA}{dw} = l$\)

Plugging these values into the formula above, we have:

\($\frac{dA}{dt} = 18 \cdot 4 + 23 \cdot (-3) = 72 - 69 = 3$\)

Therefore, the area of the rectangle is changing at a rate of 3 square inches per second.

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Complete Question:

the length of a rectangle is increasing at a rate of 4 inches per second while its width is decreasing at a rate of 3 inches per second. at what rate, in square inches per second, is the area of the rectangle changing when its length is 23 inches and its width is 18 inches?

Based on the given fuel consumption and total mileage, the Jeep Renegade Sport 4x4 vehicle was driven approximately 222 miles in the city and 181 miles on the highway.

To calculate the miles driven in the city and on the highway, we can utilize the provided information about fuel efficiency and total mileage. The vehicle achieves 23 miles per gallon (mpg) in city driving and 32 mpg in highway driving. It was driven for a total of 403 miles on 14 gallons of gasoline.

To begin, we determine the number of miles driven per gallon by dividing the total mileage by the total gallons used: 403 miles / 14 gallons = 28.79 miles per gallon.Next, we calculate the proportion of city and highway driving by comparing the fuel efficiency to the average fuel consumption rate. The average fuel consumption rate is obtained by taking the harmonic mean of the city and highway fuel efficiencies: 2 / ((1 / 23) + (1 / 32)) = 27.17 mpg.

We can then determine the proportion of city driving by dividing the city fuel efficiency by the average fuel consumption rate: (1 / 23) / 27.17 = 0.0513.To find the miles driven in the city, we multiply the proportion of city driving by the total mileage: 0.0513 * 403 = 20.68 miles.

Similarly, we find the proportion of highway driving by dividing the highway fuel efficiency by the average fuel consumption rate: (1 / 32) / 27.17 = 0.0369.To calculate the miles driven on the highway, we multiply the proportion of highway driving by the total mileage: 0.0369 * 403 = 14.90 miles.

Therefore, the Jeep Renegade Sport 4x4 vehicle was driven approximately 222 miles in the city (rounded to the nearest mile) and 181 miles on the highway (rounded to the nearest mile), based on the given fuel consumption and total mileage.

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The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207

finding the percentage of 65 of 330 individuals

65 / 330 * 100 = 19.697% = 0.19697

number of samples, n = 330

standard deviation, σ   is calculated from

= √{(p(1 - p)) / n}

= √{(0.197 * (1 - 19.7)) / 330}

= √{(0.197 * (0.803)) / 330}

= 0.022

Margin of error, E

= Z(0.95) * σ/√(n)

= 0.171 * 0.022/√(330)

= 0.171 * √(0.022²/330)

= 0.000207

= 0.021%

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D) The example (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials.

The commutative property of addition for polynomials states that the order in which polynomials are added does not affect the result of the sum. In other words, it states that if we have two polynomials A and B, the result of adding A and B (A+B) will be the same as adding B and A (B+A).

For example, consider the polynomials (2x^2 + 5x) and (4x^2 - 4x). If we add these two polynomials in the order given, (2x^2 + 5x) + (4x^2 - 4x) = 6x^2 + x. Now, if we add these two polynomials in the reverse order, (4x^2 - 4x) + (2x^2 + 5x) = 6x^2 + x. We can see that the order of the polynomials does not affect the result of the sum, and thus it holds the commutative property of addition.

Option (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials, because it shows that the order of the polynomials does not matter and it gives the same answer.

It is important to note that the other options does not illustrate the commutative property.

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uhhhh CALL THE COPS BE SAFE

Answer:

RUN he also is equiped with ligma

Step-by-step explanation:

His mom is Candice and his dad is Suckma

Answer:

D

Step-by-step explanation:

to find the midpoint of ST , calculate the average of the 2 values

R = (- 2 + 7) ÷ 2 = 5 ÷ 2 = 2.5

Answer:

2.5

Step-by-step explanation:

Answer:

2=750

Step-by-step explanation:

2500 divide by 10 and ans * 3

Answer:

2.750

Step-by-step explanation:

you times 2500 by 3 divide by 10

Given : -5 x squared = -500​

The expression of the given statement is :

Solve the equation to find x

Divide both sides by -5

Answer: 55.56 < 55.65

Step-by-step explanation:

The tenth place is bigger than the other number, and since the whole number is the same, then it would be the less than sign

Answer:

<

Step-by-step explanation:

the number on the right is more than the number on the left so the open part will be on the right

thanks for points have a blessed day :)

The value of g'(2) is 1/301.

First, we can solve by setting y = f(x) and solving for x in terms of y:

\(y = f(x) = x^3 + x\)

Switching x and y and solving for y, we get:

\(x = y^3 + y\)

\(f^{(-1)}(x) = x^3 + x\)

Now we need to find g'(2), which is the derivative of g(x) evaluated at \(x=2\)

We can use the inverse function theorem, which states that:

\(g'(x) = 1 / f'(g(x))\)

So, we need to find g(2) and f'(g(2)):

\(g(2) = f^{(-1)}{(2)} = 2^3 + 2 = 10\)

\(f'(x) = 3x^2 + 1\)

\(f'(g(2)) = f'(10) = 3(10)^2 + 1 = 301\)

Therefore, using the inverse function theorem:

\(g'(2) = 1 / f'(g(2)) = 1 / f'(10) = 1 / 301\)

So, the value of g'(2) is 1/301.

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The limit of the function 2x² + 4y as (x, y) approaches (0, 0) is 0.

To find the limits along different paths, we substitute the values of x and y in the given function and see what happens as we approach (0, 0).

1) Along the x-axis (y = 0):

Substituting y = 0 into the function gives us 2x² + 4(0) = 2x². As x approaches 0, the value of 2x² also approaches 0. Therefore, the limit along the x-axis is 0.

2) Along the y-axis (x = 0):

Substituting x = 0 into the function gives us 2(0)² + 4y = 4y. As y approaches 0, the value of 4y also approaches 0. Hence, the limit along the y-axis is 0.

3) Along the line y = mx:

Substituting y = mx into the function gives us 2x² + 4(mx) = 2x² + 4mx. As (x, mx) approaches (0, 0), the value of 2x² + 4mx approaches 0. Thus, the limit along the line y = mx is 0.

4) The overall limit:

Since the limit along the x-axis, y-axis, and the line y = mx all converge to 0, we can conclude that the overall limit of the function 2x² + 4y as (x, y) approaches (0, 0) is 0.

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Answer:

8.19 units.

Step-by-step explanation:

I didn't use desmos, i completed the question with all steps and working and didn't require desmos. Hope this Helps. Question was solved using trignometric ratios.

The approximate the probability is Z = (197/650 - μ) / σ

To approximate the probability that the sample proportion of non-vaccinated children in a sample of 650 children is more than 197/650, we can use the normal approximation to the binomial distribution. Here's how you can calculate it step by step:

1. First, find the mean of the sample proportion. The mean, denoted by μ, is equal to the population proportion, which in this case is 197/650.

2. Next, calculate the standard deviation of the sample proportion. The standard deviation, denoted by σ, is equal to the square root of (p * (1-p) / n), where p is the population proportion and n is the sample size. In this case, p is 197/650 and n is 650.

  σ = √((197/650) * (1 - 197/650) / 650)

3. With the mean and standard deviation calculated, we can now use the normal distribution to approximate the probability. We want to find the probability that the sample proportion is more than 197/650, which is equivalent to finding the probability that a standard normal random variable Z is greater than (197/650 - μ) / σ.

  Z = (197/650 - μ) / σ

4. Now, standardize the value of Z by subtracting the mean and dividing by the standard deviation:

  Z = (197/650 - μ) / σ

5. Using a standard normal distribution table or a calculator, find the probability that Z is greater than the value calculated in step 4. This will give you the approximated probability.

Remember to carry intermediate steps to at least six decimal places and give the final answer to the nearest three decimal places, as specified in the question.

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Answer:

a^2/3

Step-by-step explanation:

the numerator simplifies to 5a^3 and the bottom is 15a. we can use our exponent rules to subtract exponents, so it is 1/3(a^2). this simplifies to a^2/3.

Answer:

a^2

------

3

Step-by-step explanation:

5 a^3  / 15a

Simplify the numbers

5/15 = 1/3

Simplify the variables

a^3 /a = a^2

Putting it back together

a^2

------

3

Answer:

900

Step-by-step explanation:

Might wanna double check. I rushed

(7m-2m^2n)^2

-42+144

900

Answer:

y = x + 3

Step-by-step explanation:

y = 1x + 3

1 can be omitted because is in a multiplication

y = x + 3

The equation of line is y = x + 3 , where y is the total cost and x is the number of days of renting the resort

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of days of rental be represented as x

Let the total cost be represented as y

Now , the flat fee to cover the cleaning is = $ 3

And , the cost of renting per day = $ 1

Now , the equation is

The total cost y = ( cost of renting per day x number of days of rental ) + flat fee to cover the cleaning

Substituting the values in the equation , we get

y = x + 3

Hence , the equation of line is y = x + 3 , where the slope m = 1

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Answer:

6,750 pounds

Step-by-step explanation:

3 3/8 tons = ? pounds

there are 2,000 pounds in 1 ton so:

3 3/8 * 2,000 = 6,750 pounds

If PQR is similar to VST with a scale factor of 2:5, the specific method to find the value of x depends on whether x corresponds to a side or an angle in the given similar triangles.

When two triangles are similar, their corresponding sides are in proportion, and their corresponding angles are congruent. In this case, we have the similar triangles PQR and VST with a scale factor of 2:5.

To find the value of x, we need to identify the corresponding sides or angles between the two triangles. Let's assume that x corresponds to a side in triangle PQR. Since the scale factor is 2:5, we can set up the proportion:

2/5 = x/s

where s represents the corresponding side in triangle VST. By cross-multiplying and solving for x, we can determine its value.

Alternatively, if x corresponds to an angle in triangle PQR, we can use the fact that corresponding angles in similar triangles are congruent. By comparing the corresponding angles in PQR and VST, we can determine the value of x.

Therefore, the specific method to find the value of x depends on whether x corresponds to a side or an angle in the given similar triangles.

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The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

zero of the function occurs at x = -6

Step-by-step explanation:

Given f(x) = -4(x+3)+6(x+4)

Since the question is incomplete, we can as well find the zero of the given function. The zero exists when f(x) = 0

Hence;

-4(x+3)+6(x+4) = 0

Expand

-4x - 12 + 6x + 24 = 0

Collect the like terms

-4x + 6x - 12 +24 = 0

2x + 12 = 0

2x = -12

x = -12/2

x = -6

Hence the zero of the function occurs at x = -6