Suppose that 19 inches of wire costs 76 cents. At the same rate, how many inches of wire can be bought for 48 cents?

To determine the restriction of the domain of the function tan(x), let us analyze its definition:

Because cos(x) goes to zero for values of x equal to ±π/2, for these values we have the limits, in the sense of edge, of the function. After this point tan(x) starts to repeat the values.

Because the edges are given by ±π/2, and the function is not defined in the point, because it becomes a division by 0, we can solve the first part of the problem:

The domain of f(x) = tan( x) is restricted to:

so that the inverse of that function exists. This means that all functional values of f(x) = tan^(-1)( x ) are on the interval:

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

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The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

see below (I hope this helps!)

Step-by-step explanation:

p² = 4x² * (q(1 + r² / y²) / S)

p²S = 4x² * q(1 + r² / y²)

p²S / 4x²q = 1 + (r² / y²)

p²S / 4x²q - 1 = r² / y²

y² = r² / (p²S / 4x²q - 1)

y = √( r² / (p²S / 4x²q - 1) = √(r²4x²q / (p²S - 4x²q))

Answer:

c

Step-by-step explanation:

so.......

y=20underroot 3

and X=20

Answer:

Simplifying

X + 59 + 84 + X + 51 = 180

Reorder the terms:

59 + 84 + 51 + X + X = 180

Combine like terms: 59 + 84 = 143

143 + 51 + X + X = 180

Combine like terms: 143 + 51 = 194

194 + X + X = 180

Combine like terms: X + X = 2X

194 + 2X = 180

Solving

194 + 2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-194' to each side of the equation.

194 + -194 + 2X = 180 + -194

Combine like terms: 194 + -194 = 0

0 + 2X = 180 + -194

2X = 180 + -194

Combine like terms: 180 + -194 = -14

2X = -14

Divide each side by '2'.

X = -7

Simplifying

X = -7

Answer:

1- cos x = 2sin^2 x/2

Step-by-step explanation:

we know that cos 2x=cos^2 x-sin^2 x

cos 2x=(1-sin^2 x)-sin^2 x

cos 2x=1–2sin^2 x

by this;

1- cos 2x = 2sin^2 x

putting x=x/2;we get ,

1- cos x = 2sin^2 x/2

and this is the formula of 1-cos x

The coordinates of point A is: (-2, 5)

The equation of line L, in slope-intercept form, is: y = 1/2x + 2

In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:

The coordinates of point A is: (-2, 5)

Slope (m) of line L = 2/4 = 1/2.

y-intercept (b) = 2

The equation of line L will be:

y = 1/2x + 2.

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Answer:

A)  2f / hour

Step-by-step explanation:

B) 10 f

Step-by-step explanation:

outside temperature decreases by ; 7 F in 3 1/2 hours

a ) represent temperature change as a unit rate

To do this you will need to represent the temperature change per hour

7 f / 3.5 hours

= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour

b) Temperature change after 5 hours

Δ temperature  in 5 hours = temperature change per hour * 5

                            = 2 F * 5 =  10 F

Answer: See explanation

Step-by-step explanation:

7.  300-117= 183 square inches

8. 346.185-153.86= 192.325 square inches

10.  100.46-64=36.46 square inches

Answer:

Step-by-step explanation:

So negitive have the - besides it and + mean its negative .

Answer:

-29

-6

.5

105

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

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If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .

A Random Variable is a defined as a variable whose value depends on the outcome of a random event.

Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.

Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.

Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So,  it is a fixed value and not a random variable.

Therefore , The mean of the sample data will be a random variable .

The given question is incomplete , the complete question is

Suppose you take a sample of 50 students from your school and measure their height.  Which one of the following is a random variable?

(a) The true mean height of all students from your school.

(b) The mean of the sampling distribution of mean heights for samples of size 50.

(c) The mean of the sample data.

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer:

Answer: 94

Step-by-step explanation:

Step-by-step explanation:

7(6)-4(2)+6(5)2=

42-8+60= 94

Hey there!

5(3 – 7b)

= 5(3 – 7(2))

= 5(3 – 14)

= 5(–11)

= –55

Therefore, your answer should be: –55

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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The probability of winning the game where a fair coin is tossed until either the sequence HHH occurs (in which case you win) or the sequence THH occurs (in which case you win) is 7/8 or approximately 0.875.

Let's consider the two possible outcomes where you win the game. First, if the sequence HHH occurs, you win immediately. The probability of this happening is 1/8, as there are 8 possible outcomes for three consecutive coin flips (HHH, THH, HTH, HHT, TTH, HTT, THT, TTT) and only one of them satisfies the condition (HHH).

Secondly, if the sequence THH occurs, you win after four coin flips. To calculate the probability of this, we consider the first three flips as THH, and the fourth flip can be either T or H. The probability of getting T as the fourth flip is 1/2, and the probability of getting H is also 1/2. Therefore, the probability of winning with the sequence THH is (1/8) * (1/2) + (1/8) * (1/2) = 1/8.

Adding up the probabilities of winning with HHH (1/8) and THH (1/8), the total probability of winning the game is 1/8 + 1/8 = 2/8 = 1/4.

However, there is also the possibility of the game continuing indefinitely without either winning sequence occurring. In this case, the game is a tie. The probability of a tie is 1 - 1/4 = 3/4.

Since the question asks for the probability of winning, we exclude the probability of a tie. Therefore, the final probability of winning the game is 1/4 divided by 1/4 + 3/4, which equals 1/4 divided by 1, or simply 1/4. Simplifying further, we get 1/4 = 2/8 = 4/16 = 7/16. Therefore, the probability of winning the game is 7/16 or approximately 0.875.

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area 4 ft

-__________________________________________________________-

Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

Sample mean in sample b to be less variable and more representative of  population mean than sample mean in sample a.

Standard error measures the variability of sample means around the population mean.

It decreases as sample size increases.

Using the formula for the standard error of the mean,

Calculate the standard errors for each sample,

Standard error of sample a

= s/√(n)

= 850/√(9)

= 283.33

Standard error of sample b

= s/√(n)

= 850/√(36)

= 141.67

Where s is the sample standard deviation

And n is the sample size.

The standard error of sample b is smaller than the standard error of sample a.

Sample mean in sample b is more likely to be closer to true population mean than sample mean in sample a.

Therefore, sample mean b is more surprising as larger sample size makes it more likely and accurately represents population mean.

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Answer:

78x - 6 = 72x

Step-by-step explanation:

Greatest common factor of 36 and 6 is 6.

First pull 6 out of each term:

6(6x^2 +x -1)

Now factor the polynomial :

6(3x-1)(2x+1)

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Negative 2/3 is less than negative 1.

They both are located to the left of zero on the number line. That means negative 2/3 comes first and negative 1 comes second (both moving towards the left).

Therefore the correct answer is option 1

A quadratic equation is a second-order polynomial equation in a single variable. a ≠ 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given:

Height of tennis ball, b(t)= -t² -4t + 22

Height of Rocket, p(t) = -2t+ 12

A graphing calculator shows the two solutions to be ...

(t, h) = (-4.2, 23) and (2.3, 7)

The two heights will be equal when ...

p(t) = b(t)

-2t +12 =-t² -4t + 22

t²+ 2t -10=0

t=2.31662 or t=−4.31662

At these times, the heights will be

p(t) = -2{2.31622, -4.31662} +12

     = {-4.63244, 8.63324} +10 = {5.36756, 18.63324}

We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4.31662 is an extraneous solution.

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The distance between the points (5, 4) and (-3, 1) is approximately 8.5 units. This is obtained by using the distance formula and rounding the result to the nearest tenth.

To find the distance between the points (5, 4) and (-3, 1), we can use the distance formula.

The distance formula is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Substituting the coordinates, we have:

d = √((-3 - 5)² + (1 - 4)²)

d = √((-8)² + (-3)²)

d = √(64 + 9)

d = √73

Rounded to the nearest tenth, the distance between the points (5, 4) and (-3, 1) is approximately 8.5.

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If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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The Uniform Guidelines, content validity is not acceptable when cutoff scores are grouped or ranked, as this approach does not provide a valid measure of job-related knowledge, skills, abilities, or other characteristics.

According to the Uniform Guidelines on Employee Selection Procedures, content validity is not acceptable when cutoff scores are grouped according to magnitude (placed in selection "bands") or ranked ordered.

This is because when cutoff scores are grouped or ranked, the emphasis is on the classification of individuals into discrete categories based on their test scores, rather than on the content of the test itself. As a result, the validity of the test as a measure of job-related knowledge, skills, abilities, or other characteristics is compromised, since the focus shifts from assessing whether the test measures what it is supposed to measure to simply identifying who scored above or below a certain threshold.

Instead, the Guidelines recommend that content validity be established by conducting a job analysis to identify the knowledge, skills, abilities, and other characteristics that are required for successful job performance, and then developing test items that measure those characteristics directly.

This approach ensures that the test is measuring what it is intended to measure, rather than simply discriminating between individuals based on their scores.

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Answer:

maximum- median

80-50=30