a recent survey of cell phone users indicated that 56 percent of the respondents prefer to use cell phones for texting rather than for making phone calls. a 95 percent confidence interval for the estimate of all cell phone users who prefer to use cell phones for texting has a margin of error of 3 percent.

The sales tax on this printer is $20.94

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Given that, the price of a printer is $349.00 having a 6% sales tax.

Sales tax = 6% of $349.00

$349.00 x 0.06 = $20.94

Hence, the sales tax on this printer is $20.94

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Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

The tour company planning a bus excursion for 125 people can determine the number of each bus type they should order by considering the capacity and cost of each bus model.

By dividing the total number of people by the capacity of each bus model, they can identify the minimum number of buses required for each type. The remainder of the passengers can be accommodated with the second bus model. The final decision depends on the cost-effectiveness, as the tour company aims to minimize expenses while meeting the capacity requirements. To determine the number of each bus type to order, we start by dividing the total number of people (125) by the capacity of the big bus (55). This calculation gives us a minimum requirement of 2 big buses (110 people). However, this still leaves 15 people to be accommodated. Since the smaller bus has a capacity of 30 people, we divide the remaining number of people (15) by the capacity of the smaller bus. This calculation indicates that an additional small bus is required to accommodate the remaining passengers. The tour company should order 2 big buses and 1 small bus. This combination ensures that all 125 people can be accommodated while minimizing costs. The cost of the big buses would be $750 x 2 = $1,500, and the cost of the small bus would be $400 x 1 = $400, resulting in a total cost of $1,900 for the buses.

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To select the most suitable player to join my team, we must take into account his skills on the field, his relationship with other players (including rivals) and his experience.

To select the most suitable player to integrate him into the squad of my team, we must take into account several aspects such as:

Based on the above, we can infer that the right player is Lexi because she has played other championships professionally and has the necessary experience to fit in well with the team.

Note: This question is incomplete because there is some information missing. Here are the options.

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Answer:

27

Step-by-step explanation:

The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care

The probability of time lapsed between two consecutive trades longer than 17 seconds is equal to 0.87 or 87%.

Mean of the normal distribution (μ) = 15 seconds

To find the probability that the time lapsed between two consecutive trades on the New York Stock Exchange will be longer than 17 seconds,

Use the information provided about the normal distribution and probabilities.

Determine the probability of the time lapsed being greater than 17 seconds.

First, the z-scores corresponding to the given probabilities.

To find the z-score for the lower bound, where the time lapsed is below 13 seconds,

P(X < 13) = 0.07

This gives us the area to the left of 13 seconds, and

The z-score corresponding to this probability.

Using a standard normal distribution calculator,

The z-score corresponding to the cumulative probability of 0.07.

Let's denote this z-score as z₁.

Next, the z-score for the upper bound, where the time lapsed is between 16 and 17 seconds,

P(16 < X < 17) = 0.13

This gives us the area between 16 and 17 seconds, and

the z-scores corresponding to these probabilities.

The z-scores corresponding to the cumulative probabilities of 0.13 for both 16 seconds and 17 seconds.

Let's denote these z-scores as z₂ and z₃, respectively.

Now, to find the probability that the time lapsed between two consecutive trades will be longer than 17 seconds,

calculate the area to the right of 17 seconds under the normal distribution curve.

P(X > 17) = 1 - P(X < 17)

Since the z-scores corresponding to the lower bounds (13 seconds) and the upper bounds (16 seconds and 17 seconds),

calculate the probability using the cumulative distribution function (CDF) or the standard normal distribution.

P(X > 17) = 1 - P(X < 17)

P(X > 17) = 1 - P(Z < z3)

Using the z-scores, calculate the probability.

Please use standard normal distribution notation with Z representing the z-score.

Probability (P(Z < z₁)) = 0.07

Probability (P(Z < z₂)) = 0.13

Probability (P(Z < z₃)) = 0.13

Now, let's substitute these probabilities into the equation,

P(X > 17) = 1 - P(Z < z₃)

P(X > 17) = 1 - 0.13

Finally, calculate the probability,

P(X > 17) = 1 - 0.13

P(X > 17) = 0.87

Therefore, probability of time lapsed between two consecutive trades on New York Stock Exchange will be longer than 17 seconds is 0.87 or 87%.

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Answer:

what are the rest of the options i cant read c and d is cut off

To find the distance between the two planes, we can use the Law of Cosines.

Let's denote the distance between the planes as "d". We have two sides of the triangle formed by the planes and the control tower: one side is 30 miles, the other side is 11 miles. The included angle between these sides is 20°. The Law of Cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice their product multiplied by the cosine of the included angle.

Using the formula, we can write:

d² = 30² + 11² - 2(30)(11)cos(20°)

Simplifying this equation:

d² = 900 + 121 - 660cos(20°)

Calculating the value of cos(20°), we find:

d² ≈ 900 + 121 - 660(0.9397)

d² ≈ 900 + 121 - 620.822

d² ≈ 400.178

Taking the square root of both sides:

d ≈ √400.178

d ≈ 20.0

Therefore, the distance between the two planes is approximately 20.0 miles.

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The largest area a rectangle can have when inscribed in a semicircle of radius 2 is 4 square units.

The dimensions of this rectangle are 2 units by 2 units. This occurs when the sides of the rectangle are parallel to the diameter of the semicircle, so that each vertex of the rectangle lies on the circumference of the semicircle.

The length of the rectangle is equal to the diameter of the semicircle, or 2 units, and its width is half the diameter, or 2/2 = 1 unit. The area of this rectangle is equal to the length times the width, or 2 * 1 = 2 square units.

Since the rectangle is inscribed in a semicircle, its dimensions must be equal, so the largest area rectangle that can be inscribed in a semicircle of radius 2 has sides of length 2 units and an area of 4 square units.

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Answer:

a coin with one side representing a win and the other representing a loss

Step-by-step explanation:

Answer:

C: a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss

Step-by-step explanation:

edg2021

You simply have to simplify. 24 wins and 16 loses is equal to 3 / 2. So it is C.

It is not A (to the person who said it was a coin) and that is because it is not equal. There are more wins than losses.

Answer: $5

Step-by-step explanation: The interquartile range (IQR) refers to the difference between the upper(75%) quartile and lower(25%) quartile of a distribution. Hence, ensuring that the middle 50% is being captured. With the average given as $60, having a interquartile range capturing the middle 50% as $1 seems so small from a statistical stand point. Similarly, an interquartile range of $100 capturing the middle 50% is also too large and nearly impossible if the average price is $60. However, a price of $5 sit well in between considering the average price of $60

The given ordered pairs satisfy a linear function f(x) = mx + b.

As per the given data we have to determine the given ordered pairs satisfy a linear function.

If the information about the function is given in the algebraic form, then it is linear if it is of the form f (x) = mx + b.

Let the linear function be f (x)=a x + b

From the table f (4)=2 ; f (3)=4

a(4) + b = 2

4a + b = 2....(1)

a(3) + b = 4

3a + b = 4....(2)

Solving (1), (2)

4a - 3a + b - b = 2 - 4

a = - 2

Put a = - 2 in equation (2)

3(-2) + b = 4

b = 4 + 6

b = 10

Therefore f(x)= -2 x + 10

f(5)= -2(5) + 10

f(5)= -10 + 10

f(5)= 0

(x, y) = (5, 0)

f(4) = -2(4) + 10

f(4) = - 8 + 10

f(4) = 2

(x, y) = (4, 2)

So, ordered pairs satisfy the linear function

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`sin ( a ) = sqrt(14593)/97``cos ( a ) = 72/97``tan ( a ) = sqrt(14593)/72``sec ( a ) = 97/72``csc ( a ) = 97/sqrt(14593)``cot ( a ) = 72/sqrt(14593)`

Given that `b=72` and `c=97`

We can use the pythagorean theorem to find the length of side 'a'.

Let `a=x`so we have;`b^2+c^2=a^2`Substitute the values of `b` and `c`;`72^2+97^2=a^2`

Simplify and solve for `a`;`5184+9409=a^2`Adding, we get`14593=a^2`Taking the square root on both sides, we get;`a=sqrt(14593)`

The values of the sine, cosine, tangent, secant, cosecant, and cotangent of angle `a` in the triangle with sides `a= sqrt(14593)`, `b=72` and `c=97` are given as;`

sin ( a ) = a/c = sqrt(14593)/97` `cos ( a ) = b/c = 72/97` `tan ( a ) = a/b = sqrt(14593)/72` `sec ( a ) = c/b = 97/72` `csc ( a ) = c/a = 97/sqrt(14593)` `cot ( a ) = b/a = 72/sqrt(14593)`

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Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

In order to maximize the total annual return, the $1.9 million available for investment should be allocated as follows:

- Allocate 35% of the funds, which is $665,000, to risk-free securities.

- Allocate 12% of the remaining funds, which is $147,600, to signature loans.

- Allocate the remaining funds to the remaining loan types: automobile loans, furniture loans, and other secured loans.

To determine the allocation strategy, we need to consider the given restrictions. First, we allocate 35% of the total funds to risk-free securities, as required. This amounts to $665,000.

Next, we need to allocate the remaining funds among the different loan types while adhering to the imposed limitations. The maximum amount allowed for signature loans is 12% of the total funds invested in all loans. Since we have already allocated funds to risk-free securities, we need to consider the remaining amount. After deducting the $665,000 allocated to risk-free securities, we have $1,235,000 left for the loans. Therefore, the maximum amount for signature loans is 12% of $1,235,000, which is $147,600.

The remaining funds can be allocated among the other loan types. However, we need to consider the restrictions on the maximum amounts for furniture loans, other secured loans, and automobile loans. The furniture loans plus other secured loans should not exceed the amount allocated to automobile loans. Additionally, the total of other secured loans and signature loans should not exceed the funds invested in risk-free securities. By adhering to these restrictions, we can allocate the remaining funds among the three loan types.

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Answer:

y = 8

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis.

A perpendicular line will be a horizontal line with equation

y = c ( where c is the value of the y- coordinates the line passes through )

the line passes through (- 9, 8 ) with y- coordinate 8 , then

y = 8 ← equation of perpendicular line

Therefore, the exact length of the polar curve r = 3 sin(θ), where 0 ≤ θ ≤ π/3, is π units.

To find the exact length of the polar curve r = 3 sin(θ), where 0 ≤ θ ≤ π/3, we can use the arc length formula for polar curves:

Length = ∫[θ1 to θ2] √(r^2 + (dr/dθ)^2) dθ

In this case, we have:

r = 3 sin(θ)

dr/dθ = 3 cos(θ)

Substituting these values into the arc length formula, we get:

Length = ∫[0 to π/3] √((3 sin(θ))^2 + (3 cos(θ))^2) dθ

Simplifying, we have:

Length = ∫[0 to π/3] √(9 sin^2(θ) + 9 cos^2(θ)) dθ

Length = ∫[0 to π/3] √(9 (sin^2(θ) + cos^2(θ))) dθ

Length = ∫[0 to π/3] √(9) dθ

Length = ∫[0 to π/3] 3 dθ

Length = 3θ |[0 to π/3]

Length = 3(π/3 - 0)

Length = π

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Answer:

x = 8

Step-by-step explanation:

x + 5 = 2x - 3

-x      = -x        subtract x from both sides.

   5 = 1x - 3

   +3 =      +3        add 3 to both sides.

8 = 1x

x = 8

Answer:

Step-by-step explanation:

-5 (-2) = 10

S is transitive. Since S is reflexive, symmetric, and transitive, it is an equivalence relation.

To prove that S is an equivalence relation, we need to show that it satisfies three conditions: reflexivity, symmetry, and transitivity.

Reflexivity: For any ordered pair (a, b), we have a + b = b + a. So, (a, b) S (a, b), and S is reflexive.

Symmetry: If (a, b) S (c, d), then a + d = b + c. Rearranging this equation gives us d + a = c + b, which implies that (c, d) S (a, b). Therefore, S is symmetric.

Transitivity: If (a, b) S (c, d) and (c, d) S (e, f), then we have a + d = b + c and c + f = d + e. Adding these two equations gives us a + 2d + f = b + 2c + e. Rearranging this equation, we get (a, b) S (e, f). Hence, S is transitive.

Since S is reflexive, symmetric, and transitive, it is an equivalence relation.

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Answer:     B

Step-by-step explanation:

I did the math

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(49)=y\implies \log_{10}(49)=y\implies 1.690196\approx y \\\\\\ \log_{10}(49)\approx 1.690196\implies \stackrel{\textit{then we can say}}{10^{1.690196}\approx 49}\)

we have the function

Find out the critical points

so

Find out the first derivative

Equate the first derivative to zero

the value of the tangent is positive

that means

the angle x lies on the I quadrant or III quadrant

but remember that the interval is [0, pi]

therefore

The angle x lies on the quadrant

Find out the second derivative

Evaluate the second derivative at x=0.2pi radians

The value of the second derivative is negative

so

The concavity is down

that means

Answer:

wat number put the value there

The required sum of the number m and the number after it 2m + 1.

Given that,
To determine the sum of the number m and the number after it.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number m and the number after m is m+1
Now the sum = m + m + 1
                      = 2m + 1

Thus, the required sum of the number m and the number after it 2m + 1.

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EY to be larger than EX, in both the cases in which is consistent with our earlier reasoning on using probabilities of each bus being selected.

(a)if we assume that the distribution of the number of students on each bus is roughly uniform, then we might expect EY to be larger than EX, since the bus with the most students (50) has a higher chance of being selected than any of the other buses.

(b) To compute EX, we can use the law of total probability:

EX = (40/148)*40 + (33/148)*33 + (25/148)*25 + (50/148)*50

= 32.96

To compute EY, we need to take into account the fact that each bus has a different probability of being selected, since there are four buses and one driver is chosen at random. Let p1, p2, p3, and p4 be the probabilities of each bus being selected, respectively. Then we have:

p1 = 40/148, p2 = 33/148, p3 = 25/148, p4 = 50/148

The expected value of Y can be computed as:

EY = p140 + p233 + p325 + p450

= 0.270340 + 0.222933 + 0.168925 + 0.337850

= 38.62

Therefore, in this case, EY is larger than EX, which is consistent with our earlier reasoning.

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Answer:

72 cm^3

Step-by-step explanation:

You multiply 3*4*6 which is 72.

Answer:

72 cubic cm

Step-by-step explanation:

Multiply the height, width, and length

The real numbers can be classified as either rational or irrational numbers.

1. Rational Numbers:
Rational numbers can be expressed as the ratio (or fraction) of two integers. They can be written in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers can be positive, negative, or zero. Some examples of rational numbers include 1/2, -3/4, and 5.

2. Irrational Numbers:
Irrational numbers cannot be expressed as the ratio of two integers. They are non-repeating and non-terminating decimals. Irrational numbers can be positive or negative. Some examples of irrational numbers include √2, π (pi), and e (Euler's number).

It is important to note that the set of real numbers contains both rational and irrational numbers. Every rational number is a real number, but not every real number is a rational number. This means that there are real numbers that cannot be expressed as a fraction.

In summary, the classification of real numbers as rational or irrational depends on whether they can be expressed as a ratio of integers (rational) or not (irrational). The set of real numbers contains both rational and irrational numbers, providing a comprehensive representation of all possible values on the number line.

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