Out of 410 people sampled, 123 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. O 0.26

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

a=−9/5

Decimal Form:

a=−1.8

Mixed Number Form:

a=−1 4/5

Answer:

183661939573002745832863730

The correct method to return the sine of 90 degrees is Math.sin(90). The Math.sin() method accepts the angle in radians as its parameter and returns the sine value of that angle. Thus, option B is correct.

In Java, the Math class provides various mathematical functions, including trigonometric functions like sine (sin). Option A, Math.sine(90), is incorrect because there is no method named "sine" in the Math class. The correct name is "sin".

Option C, Math.sin(PI), is incorrect because the constant PI is the value of pi in radians, not in degrees. Since the parameter of the Math.sin() method should be in radians, passing PI as the argument will give the sine of pi radians, not 90 degrees.

Option D, Math.sin(Math.toRadians(90)), is incorrect because the radians () method converts an angle in degrees to radians. So, Math.toRadians(90) would give the value of pi/2 in radians, not 90 degrees.

Option E, Math.sin(Math.PI), is also incorrect for the same reason as option C. Math.PI represents the value of pi in radians, not in degrees.

In conclusion, the correct method to return the sine of 90 degrees in Java is Math.sin(90), which takes the angle in degrees as its parameter. Thus, option B is correct.

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Complete Question:

Which of the following method returns the sine of 90 degree?

A. Math.sine(90)

B. Math.sin(90)

C. Math.sin(PI)

D. Math.sin(Math.toRadian(90))

E. Math.sin(Math.PI)

The value of the perpetuity today, with an annual interest rate of 8%, is $4,125.25.

To calculate the present value of a perpetuity, we can use the formula: Present Value = Cash Flow / Interest Rate.

In this case, the cash flow is $500 per year, and the interest rate is 8% (or 0.08 in decimal form). Plugging these values into the formula, we get: Present Value = $500 / 0.08 = $6,250.

However, this calculation gives us the present value of the perpetuity starting from today. Since the payments start 5 years from today, we need to discount the value by the present value of $1 received 5 years from today.

Using the formula for the present value of a single amount, we find that the present value of $1 received 5 years from today, with an 8% interest rate, is approximately 0.6806.

To calculate the present value of the perpetuity starting 5 years from today, we multiply the present value of $6,250 by the discount factor of 0.6806: Present Value = $6,250 * 0.6806 ≈ $4,250.25.

Therefore, the value of the perpetuity today, with an 8% annual interest rate and payments starting 5 years from today, is approximately $4,125.25.

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Answer:

Step-by-step explanation:3

Answer: 3(n + 5) ≥ 17

HOPE THIS HELPS

The inequality, and we can't find a number of days that Michelle must read in order to read more pages than Jill.

What is inequality?

An inequality is a mathematical statement that compares two values, expressing that they are not equal.

Let "x" be the number of days that Michelle must read in order to read more pages than Jill.

The total number of pages Michelle reads can be represented as:

33 + 19x

The total number of pages Jill reads can be represented as:

45 + 23x

To write an inequality to represent the number of days that Michelle must read in order to read more pages than Jill, we need to compare the two expressions:

33 + 19x > 45 + 23x

Simplifying the inequality, we get:

-12 > 4x

Dividing both sides by 4 (and flipping the inequality because we're dividing by a negative number), we get:

x < -3

However, this solution doesn't make sense in the context of the problem because we can't have negative days of reading.

Hence, there is no solution to the inequality, and we can't find a number of days that Michelle must read in order to read more pages than Jill.

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Answer:

Median: 54

hence calculate its coefficient

0,18

Answer:i think its 115 degres

Step-by-step explanation:

Answer:0

Step-by-step explanation: You decreased by 4 means subtracting 4 from it.

Hope this helps!

Answer:

The equation would be F = C - 3m

Step-by-step explanation:

Based on the chart, the fee for each movie you rent costs 3 dollars. The F is the monthly membership fee, the m is the number of movies rented, the 3 is the fee for each movie rented, & the C is the cost.

I really hope that it helps.

Answer:

(-2, 3)

Step-by-step explanation:

Point (2, -3) becomes:

Answer:

The length of one of the legs is a 18

Step-by-step explanation:

Here, we want to find the length of one of the legs

Since it’s an isosceles triangle, the length of two sides are equal.

what this mean is that;

x + 10 = 4x - 14

4x -x = 14 + 10

3x = 24

x = 24/3

x = 8

The length of the leg will be x + 10 = 8 + 10 = 18

Answer:

number of Roses = 60

number of carnations = 80

number of Lilies = 75

Step-by-step explanation:

Roses = $3.00

carnations = $1.00

Lilies = $2.00

Total order = 215

Let

x = number of Roses

y = number of carnations

z = number of Lilies

There are 15 more lilies than roses.

z = x + 15

The total of the order came to $410.00.

x + y + z = 215

3x + y + 2z = 410

substitute z = x + 15

x + y + x + 15 = 215

3x + y + 2(x+15) = 410

2x + y + 15= 215

3x + y + 2x + 30 = 410

2x + y = 215 - 15

5x + y = 410 - 30

2x + y = 200 (1)

5x + y = 380 (2)

Subtract (1) from (2)

5x - 2x = 380 - 200

3x = 180

Divide both sides by 3

x = 180/3

= 60

x = 60

Recall

z = x + 15

z = 60 + 15

= 75

z = 75

Substitute the value of x into (1)

2x + y = 200

2(60) + y = 200

120 + y = 200

y = 200 - 120

= 80

y = 80

Therefore,

x = number of Roses = 60

y = number of carnations = 80

z = number of Lilies = 75

Linear regression is a statistical tool used in predictive analytics to identify the relationship between a dependent variable and one or more independent variables.

Linear regression is a statistical technique used in predictive analytics to identify the relationship between a dependent variable and one or more independent variables. It is used to predict future outcomes by analyzing data from the past. It works by fitting a linear equation to the data, which is then used to estimate the value of the dependent variable for any given combination of values of the independent variables. The linear equation is constructed by finding the line of best fit through the data points. Linear regression can be used to identify trends and patterns in the data, and to make predictions about future outcomes. It is a powerful tool for predicting the future, and can be used to make informed decisions about how to best use resources.

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The value of ( g o f ) (x) is x^2 + 2

A function is a rule or an expression that shows relationship between a variable known as the independent variable and another variable known as the dependent variable.

From the information given, we have;

( g o f ) (x) can be determined by substituting the value for x in g(x) as the function f(x) = x + 1

( g o f ) (x) = (x+ 1) ^ 2 + 1

( g o f ) (x) = x^2 + 1^ 2 + 1

Find the square

( g o f ) (x) = x^2 + 1 + 1

( g o f ) (x) = x^2 + 2

The value of ( g o f ) (x) is x^2 + 2

Thus, the value of ( g o f ) (x) is x^2 + 2

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Answer:

1/6

Step-by-step explanation:

Convert 17 feet to inches. 17×12 = 204

204 inches to 34 inches.

204/34 = 6

Remember we are scaling down

204× 1/6 = 34

If the given equations are true, then the value of x + z is 6.

Simultaneous equations or systems of equations are two or more equations in algebra that must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Consider the equations are true,

4x + 2y + 8z = 30                                                                    ------------(1)

3x + 2y + 7z = 24                                                                    ------------(2)

Now,

By subtracting equation (2) from equation (1) we get:

eq(1) - eq(2)

4x + 2y + 8z - ( 3x + 2y + 7z ) = 30 -24

4x + 2y + 8z - 3x - 2y - 7z = 6

( 4x - 3x ) + ( 2y - 2y ) + ( 8z - 7z ) = 6

x + 0 + z = 6

x + z =6

Therefore, assuming the equations to be true the value of x + z is equal to 6.

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The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1), and the expected size of the smallest gap between adjacent cars is 2.

Let us consider that cars of length 2 try to park on a length l road. Each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road.

When no more cars fit, the expected size of the largest gap between adjacent cars is l/(n + 1) and the smallest gap is 2.

The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1).

Let n be the number of cars parked on the road. Then the total length of the cars parked is 2n.

If the largest gap is a distance g, then the total length of the gaps is l − 2n. Then,gap length:

g (n + 1) ≤ l - 2ng ≤ l − (n + 1)g

Dividing through by (n + 1)g and rearranging:

g ≤ l/(n + 1) (largest gap)g ≥ 2 (smallest gap)

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Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\)

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

Substitute all the values in the formula

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03\)

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 1

Option 2

Aaron is is wrong, the second option is not better

To approximate the integral ∫2.4 to 2 f(x) dx using Simpson's rule, we divide the interval [2, 2.4] into subintervals and approximate the integral within each subinterval using quadratic polynomials.

Given the data points (x, f(x)) = (2, 0.6931), (2.2, 0.7885), and (2.4, 0.8755), we can use Simpson's rule to approximate the integral.

Step 1: Determine the step size, h.

Since we have three data points, we can divide the interval [2, 2.4] into two subintervals, giving us a step size of h = (2.4 - 2) / 2 = 0.2.

Step 2: Calculate the approximations within each subinterval.

Using Simpson's rule, the integral within each subinterval is given by:

∫f(x)dx ≈ (h/3) * [f(x₀) + 4f(x₁) + f(x₂)]

where x₀, x₁, and x₂ are the data points within each subinterval.

For the first subinterval [2, 2.2]:

∫f(x)dx ≈ (0.2/3) * [f(2) + 4f(2.1) + f(2.2)]

≈ (0.2/3) * [0.6931 + 4(0.7885) + 0.8755]

For the second subinterval [2.2, 2.4]:

∫f(x)dx ≈ (0.2/3) * [f(2.2) + 4f(2.3) + f(2.4)]

≈ (0.2/3) * [0.7885 + 4(0.4545) + 0.8755]

Step 3: Sum up the approximations.

To obtain the approximation of the total integral, we sum up the approximations within each subinterval.

Approximation ≈ (∫f(x)dx in subinterval 1) + (∫f(x)dx in subinterval 2)

Calculating the values, we get the final approximation of the integral ∫2.4 to 2 f(x) dx using Simpson's rule.

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Leo delivered 62.80 big parcels.

Let's denote the amount Leo earned for delivering a big parcel as "B" and the amount he earned for delivering a small parcel as "S". We'll set up a system of equations based on the given information.

From the problem statement, we have the following information:

1) Leo earned $2.40 for delivering a small parcel: S = 2.40

2) Leo earned more for delivering a big parcel: B > 2.40

3) He delivered 3 times as many small parcels as big parcels: S = 3B

4) Leo earned a total of $170.80: B + S = 170.80

5) Leo earned $45.20 less for delivering all big parcels than all small parcels: S - B = 45.20

Now, let's solve the system of equations:

From equation (3), we can substitute S in terms of B:

3B = 2.40

From equation (5), we can substitute S in terms of B:

S = B + 45.20

Substituting these values for S in equation (4), we get:

B + (B + 45.20) = 170.80

Simplifying the equation:

2B + 45.20 = 170.80

2B = 170.80 - 45.20

2B = 125.60

B = 125.60 / 2

B = 62.80

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Answer:

the degree of the function is 8

Step-by-step explanation:

        (f º g º h)(x) = \(f(g(h(x)))\)

first lets evaluate g(h(x))

         \((x^4 + 2x^3)^2 - 4(x^2 + 2x^3)\)

simplify

        \(x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3\)

        \(x^8 + -4x^3 + 4x^6 - 4x^4\)

you can easily see that the highest power term is 8 meaning the degree of the function is 8

Answer:

its 8 :)

Step-by-step explanation:

Answer:

it is 8 unit .because distance will not be negative.As it is scalar .

The approximate standard error of the mean for this sample is 6.6102 ($6.61 to the nearest cent) when the average nightly room rate of $172.10 with a sample standard deviation of $23.90.

Given that the average nightly room rate of 13 hotels in Tallahassee is $172.10 with a sample standard deviation of $23.90.

We are to determine the approximate standard error of the mean for this sample.

Approximate standard error

The approximate standard error is given by:

Approximate standard error = (Standard deviation of population) / √n

Where n = Sample size

We are given sample standard deviation of $23.90 and sample size of 13.

The approximate standard error is given as;

Approximate standard error= 23.90/√13= 6.6102 (rounded to four decimal places)

Therefore, the approximate standard error of the mean for this sample is 6.6102 ($6.61 to the nearest cent) when the average nightly room rate of $172.10 with a sample standard deviation of $23.90.

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The radius is equal to the length of the given line segment GH, which is 20 units. In this case, r = 20, and θ = 90° = π/2 radians.

Arc GJ is the portion of the circumference of circle H that lies between points G and J. Arc GJ can be calculated using the formula l = rθ, where l is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians. In this case, r = GH = 20 and θ = 90° = π/2 radians. Therefore, l = 20π/2 = 10π. Therefore, the length of arc GJ is 10π units.For example, if the radius of circle H is 10 units, l = 10π/2 = 5π. Thus, the length of arc GJ would be 5π units.To calculate arc GJ, we must first determine the radius of circle H. The radius is equal to the length of the given line segment GH, which is 20 units. We then use the formula l = rθ, where l is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians. In this case, r = 20, and θ = 90° = π/2 radians.

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Answer:

one milligram

Step-by-step explanation:

Answer:

milligram

Step-by-step explanation:

1,000 mg = 1 g

1 mg = .001 g