Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.

How much longer did Sarah practice than Eloise?

Enter your answer as a fraction in simplest form by filling in the boxes.
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Owing 175 dollars is more than owing 150 dollars.

Thereby, the correct answer is A) -175 dollars

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Answer:

w ≈ 33.9 in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

w² + w² = 48²

2w² = 2304 ( divide both sides by 2 )

w² = 1152 ( take the square root of both sides )

w = \(\sqrt{1152}\) ≈ 33.9 in ( to the nearest tenth )

Given that the axis of symmetry for the graph of the function f (x) = 1/4x² + bx + 10 is x = 6.The formula to find the axis of symmetry of a quadratic function is given by; x = - b/2a

Since the given function is already in vertex form, the value of the axis of symmetry can be read directly from the formula. The vertex form of a quadratic function is given by; f (x) = a(x - h)² + k Where (h, k) is the vertex of the parabola. Comparing this to the given function, we have; h = 0 and k = 10Therefore, the axis of symmetry is x = h = 0The equation x = - b/2a gives us b = -12Thus, the value of b is -12. Hence, the correct option is  −12.

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Answer:

The answer for this question is (-3.5,0.5)

Answer:

4

Step-by-step explanation:

Answer:

All real numbers.

Step-by-step explanation:

f(x) = -x - 2 + 2

~Combine like terms

f(x) = -x

This function does not have any constraints so x can be equal too any real number.

Best of Luck!

Answer: -2

Step-by-step explanation:

add two to both sides

X-2<0

-X<2

Times -1 to both side

X<-2

Flip the sign When you have a negative.

The probability that the number of homicide deaths for a randomly selected day is:

a) 0: 0.18,

b) 1: 0.35,

c) 2: 0.27

The Poisson distribution is used to simulate the likelihood that a certain number of events will occur within a predetermined window of time or space.

In this instance, the Poisson distribution can be used to simulate the number of homicide deaths that occurred in Richmond, Virginia over the course of a year.

The Poisson distribution can be used to determine the likelihood of 0, 1, and 2 homicides happening on any given day.

One homicide occurs on a randomly chosen day with a 0.18 percent chance, one homicide occurs on a randomly chosen day with a 0.35 percent chance, and two homicides occur on a randomly selected day with a 0.27 percent chance.

Complete Question:

In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:

a) 0

b) 1

c) 2

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Answer:

x = 22, y = 12.

Step-by-step explanation:  

5x + 4 = 114                                  (opposite angles).

5x + 4 + 3x - 24 + 2y  = 180         (adjacent angles are supplementary)

From first equation:

5x = 110

x = 22.

Substituting for x in the second equation:

114 + 3(22) - 24 + 2y = 180

2y = 180 - 114 - 66 + 24

2y = 24

y = 12.

The area is 28 square feet.

The formula to find the area of a trapezoid is (base1 + base2) * height / 2. In this case, the base lengths are 6 feet and 8 feet, and the height is 4 feet. So, we can substitute these values into the formula.

Using the formula, we get:
Area = (6 + 8) * 4 / 2
      = 14 * 4 / 2
      = 56 / 2
      = 28 square feet

Therefore, the area of the trapezoidal tabletop is 28 square feet.

A trapezoid is a quadrilateral with one pair of parallel sides. The bases of a trapezoid are the parallel sides, and the height is the perpendicular distance between the bases. To find the area of a trapezoid, we multiply the sum of the bases by the height, and then divide by 2.

In this case, the sum of the bases is 6 + 8 = 14. Multiplying 14 by the height of 4 gives us 56. Dividing 56 by 2 gives us the final answer of 28 square feet.

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If the surface area of a sphere is 1, then its radius is √(1/4π) = 0.2821 (approximate to four decimal places).

The surface area of a hemisphere with the same radius is half that of the sphere since it only covers half of the surface area.

So, the surface area (including the base area) of the hemisphere would be:

2π(0.2821)^2 + π(0.2821)^2 = 0.5 + 0.25π = 0.7854 (approximate to four decimal places).

Therefore, the surface area (including the base area) of the hemisphere with the same radius is approximately 0.7854 square units.
Hi! To find the surface area of a hemisphere with the same radius as a sphere, we'll first determine the radius using the sphere's surface area formula, and then apply the hemisphere's surface area formula.

1. Sphere's surface area formula: A = 4πr²
Given surface area A = 1, we'll solve for radius r:

1 = 4πr²
Divide both sides by 4π:
1 / 4π = r²

2. Find r:
r = √(1 / 4π)

3. Hemisphere's surface area formula (including base area): A_hemisphere = 3πr²
Substitute r with the value we found:

A_hemisphere = 3π(√(1 / 4π))²

4. Simplify the expression:
A_hemisphere = 3π(1 / 4π)
A_hemisphere = (3/4)π

So, the surface area (including the base area) of the hemisphere with the same radius as the given sphere is (3/4)π.

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None of the options represent Values that are multiples of π, and therefore, none of them satisfy the equation sin(x) = 0. Thus, none of the given options is a solution to the equation tan(x + π/4) = cot(x).

To determine which of the given options is a solution to the equation tan(x + π/4) = cot(x), we can use the trigonometric identities and properties.

Recall that tan(x) is equal to sin(x)/cos(x), and cot(x) is equal to cos(x)/sin(x). Substituting these expressions into the equation, we have:

sin(x + π/4)/cos(x + π/4) = cos(x)/sin(x)

Next, let's simplify the equation by cross-multiplying:

sin(x + π/4) * sin(x) = cos(x + π/4) * cos(x)

Now, we can use the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b) to rewrite the equation as follows:

(sin(x)cos(π/4) + cos(x)sin(π/4)) * sin(x) = cos(x)cos(π/4) * cos(x)

Simplifying further:

(√2/2)sin(x) + (√2/2)cos(x) = (√2/2)cos(x)

Now, let's simplify the equation by subtracting (√2/2)cos(x) from both sides:

(√2/2)sin(x) = 0

From this equation, we can see that sin(x) = 0, which occurs when x is a multiple of π (x = nπ, where n is an integer).

Looking at the given options:

a. -0.414

b. -1.883

c. -3π/8

d. 2.424

None of the options represent values that are multiples of π, and therefore, none of them satisfy the equation sin(x) = 0. Thus, none of the given options is a solution to the equation tan(x + π/4) = cot(x).

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Answer:200

Step-by-step explanation:

Multiply 35 by 5 to get 175. You do this because you are doing the opposite to find a larger amount. Then add 25 to get 200

Answer:

below

Step-by-step explanation:

a. in cursive writing as your signature

Answer:

D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.

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 z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30

This means that \(\pi = 0.266, n = 5000\)

98% confidence level

So \(\alpha = 0.02\), z is the value of Z that has a p-value of \(1 - \frac{0.02}{2} = 0.99\), so \(Z = 2.327\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2515\)

The upper limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2805\)

The correct interpreation is that we are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805, which means that the correct answer is given by option D.

Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

In symbolizing truth-functional claims, the word "if" is used to introduce the consequent of a condition, while the phrase "only if" represents the antecedent.

Symbolizing truth-functional claims involves representing statements or propositions using logical symbols. When using the word "if" in a truth-functional claim, it typically introduces the consequent of a conditional statement. A conditional statement is a type of proposition that states that if one thing (the antecedent) is true, then another thing (the consequent) is also true. For example, the statement "If it is raining, then the ground is wet" can be symbolized as "p → q," where p represents "it is raining" and q represents "the ground is wet."

On the other hand, the phrase "only if" is used to represent the antecedent in a truth-functional claim. In a conditional statement using "only if," it states that if the consequent is true, then the antecedent must also be true. For example, the statement "The ground is wet only if it is raining" can be symbolized as "q → p," where p represents "it is raining" and q represents "the ground is wet."

In summary, when symbolizing truth-functional claims, the word "if" introduces the consequent of a condition, while the phrase "only if" represents the antecedent. These terms help express the relationships between propositions in logical statements.

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False. The given sequence X; where (e ; t = 0,1,... is an i.d sequence with zero mean and constant variance of σ^2, does not necessarily imply that the process is asymptotically uncorrelated.

The term "asymptotically uncorrelated" refers to the property where the autocovariance between observations of the time series tends to zero as the lag between the observations increases. In the given sequence, since the random variables e; are independent, the cross-covariance between different observations will indeed tend to zero as the lag increases. However, the process may still have non-zero autocovariance for individual observations, depending on the properties of the underlying random variables.

In order for the process to be asymptotically uncorrelated, not only should the cross-covariance tend to zero, but the autocovariance should also tend to zero. This would require additional assumptions about the distribution of the random variables e; beyond just being i.d with zero mean and constant variance.

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Answer:

the set of integers

Step-by-step explanation:

Answer:

3493.90

Step-by-step explanation:

total = 100% = 4568

withholding = 16.55% of pay = 16.55% of 4568

1. convert 16.55% to a decimal by dividing by 100

16.55% = 0.1655

2. multiply that by the 100% number

0.1655 * 4568 = 756.004 = 16.55% of 4568

3. subtract that from the original

pay - federal withholding = 4568- 756.004 = 3811.996

then, subtract her other deductions from that amount

3811.996 - 318.10 = 3493.896 ≈ 3493.90

So, approximately 25% of mail deliveries are made after 6:00 p.m.

To determine the percentage of mail deliveries that are made after 6:00 p.m., we need to find the proportion of the continuous uniform distribution that lies between 6:00 p.m. and 7:00 p.m.

The total range of delivery times is 4 hours (from 3:00 p.m. to 7:00 p.m.), so the distribution has a uniform density of 1/4 over this range.

The proportion of deliveries made after 6:00 p.m. is the proportion of the area under the density curve that lies to the right of 6:00 p.m.

The area under the density curve from 3:00 p.m. to 6:00 p.m. is (6:00 - 3:00)/(7:00 - 3:00) = 3/4 of the total area.

Therefore, the proportion of deliveries made after 6:00 p.m. is (1 - 3/4) = 1/4, or 25%.

So, approximately 25% of mail deliveries are made after 6:00 p.m.

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Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13

The result  (-9, 9/3, 6) has cylindrical coordinates (3√2, π/4, 6)

The equation is given by:5x² - 9x + 5y² + z² = 5

In cylindrical coordinates, x = r cosθ, y = r sinθ and z = z.

Substituting these into the equation we have:r²cos²θ - 9rcosθ + 5r²sin²θ + z² = 5r²(cos²θ + sin²θ) + z² = 5r² + z²

In cylindrical coordinates, the equation becomes:r² + z² = 5 ------------(1)

The equation of the cylinder in cylindrical coordinates is obtained as follows:r² = x² + y²

From the given equation, we have:r² = x² + y² = 5 - z²r² + z² = 5 ------------(2)

Comparing (1) and (2) we have:r² = 5 - z² and z = 2x² - 2y

Substituting the value of z in terms of x and y into (2), we have:r² = 5 - (2x² - 2y)² = 5 - 4x⁴ + 8x²y² - 4y⁴

Now we can write the equations in cylindrical coordinates as follows:

a. z = 2x² - 2y becomes z = 2r²cos²θ - 2r²sin²θ which is simplified to z = r²(cos²θ - sin²θ)b.

(-9, 9/3, 6) has cylindrical coordinates (3√2, π/4, 6)

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Answer:

Step-by-step explanation:

let the cost based on number of book bought be x and the constant be c:

4800 = 20x + c

8000 = 40x + c

c is common in both equations:

c =4800-20x

c = 8000-40x

equate the two:

4800-20x = 8000 - 40x

20x = 3200

x = 160

and c = 4800-20*160

c = 1600

Cost of 1000 books:

160*1000 + 1600

= 161600