The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.

the approximate values of the given trigonometric functions are:

(a) sin(π/16) radians ≈ 0.1961

(b) cos(π/16) radians ≈ 0.9808

(c) sin(9) radians ≈ 0.1564

(d) cos(9) radians ≈ 0.9880.

Given:

(a) sin(π/16) radians

(b) cos(π/16) radians

(c) sin(9) radians

(d) cos(9) radians

Using a calculator set for radians, we can approximate these values. Rounding the answers to two decimal places:

(a) sin(π/16) radians:

Using the calculator, the value of sin(π/16) is approximately 0.1961.

(b) cos(π/16) radians:

Using the calculator, the value of cos(π/16) is approximately 0.9808.

(c) sin(9) radians:

Using the calculator, the value of sin(9) is approximately 0.1564.

(d) cos(9) radians:

Using the calculator, the value of cos(9) is approximately 0.9880.

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The​ chi-squared statistic measures which of the "goods of fit". Therefore option B is correct.

The chi-squared statistic is a statistical measure that is used to test the goodness of fit between an observed frequency distribution and an expected frequency distribution. It measures how well the observed values fit the expected values and quantifies the differences between them.

The calculation of the chi-squared statistic involves comparing the observed and expected frequencies for each category and computing a sum of squared differences between them, divided by the expected frequency. The resulting value indicates the degree to which the observed frequencies differ from the expected frequencies.

In summary, it can be sais that the chi-squared statistic is used to assess whether the observed frequencies are consistent with the expected frequencies or not , and it is commonly used in hypothesis testing, particularly in testing for independence in contingency tables or testing the fit of a model to observed data.

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Answer:

They are all equal sides so divide 180 by 3

Step-by-step explanation:

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

7 i think

Step-by-step explanation:

pls mark brainliest

Answer:

\(7\)

Step-by-step explanation:

find the middle number to get the median

.

data

3, 5, 7, 7, 7, 8, 9, 9, 10

.

the median is 7

While it may seem acceptable to simply "eye-ball" a difference between two means, this approach is not always reliable or accurate. To ensure that decisions are based on sound data, a statistical analysis should be conducted to calculate the difference between means.

This analysis can provide information about the significance of the difference and help determine if it is a reliable result or simply due to chance.
As a researcher, it is important to ensure that any observed differences are stable and not just a result of random variation. By calculating the statistical difference between means, the researcher can determine if the difference is significant and if it is likely to persist over time.
It is important to note that statistical analysis should not be the only factor considered when making decisions. Other factors, such as practical considerations or ethical concerns, may also need to be taken into account.
In conclusion, while it may be tempting to rely on a simple visual comparison of means, it is best to calculate the statistical difference to ensure that decisions are based on accurate and reliable data. As a researcher, it is important to be mindful of potential sources of error and to ensure that any observed differences are stable and significant.

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Let's assume Hall received x dollars for each paycheck.

Given that Hall was paid twice, the total amount he received from both paychecks is 2x.

Hall also withdrew a total of $4,191.66 to cover his bills and expenses.

According to the bank statement, there was an overall increase in Hall's account balance of $363.64.

This means that the increase in Hall's account balance is equal to the sum of the amounts he received from his paychecks minus the total amount he withdrew:

363.64 = 2x - 4191.66

To find the value of x, we need to isolate it on one side of the equation. Let's solve for x:

2x = 363.64 + 4191.66

2x = 4555.3

x = 4555.3 / 2

x ≈ 2277.65

Therefore, each of Hall's paychecks is approximately $2277.65.

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Without additional information about the number of hearts in the incomplete pack, we cannot determine the probability that the lost card is a heart.

To find the probability that the lost card is a heart, we can use conditional probability.

Let's denote the event of drawing two spades as A and the event of the lost card being a heart as B.
The probability of drawing two spades from an incomplete pack can be calculated as follows:
P(A) = (number of spades in the incomplete pack / total number of cards in the incomplete pack) * ((number of spades in the incomplete pack - 1) / (total number of cards in the incomplete pack - 1))
Now, since both cards drawn were spades, we know that event A has occurred.

To find the probability of the lost card being a heart given event A, we can use conditional probability:
P(B|A) = P(A ∩ B) / P(A)
The intersection of events A and B is the probability that both events A and B occur simultaneously.

However, since we don't have any information about the number of hearts in the incomplete pack, we cannot calculate the exact value of P(A ∩ B).
Therefore, without additional information about the number of hearts in the incomplete pack, we cannot determine the probability that the lost card is a heart.

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Answer:

\(\frac{4}{3}\) or \(1\frac{1}{3}\) (don't worry, they are the same thing)

Step-by-step explanation:

\(3-1\frac{4}{6}\)

\(3-\frac{10}{6}\)

\(\frac{18}{6} -\frac{10}{6}\) (18/6 is equivalent to 3, and 10/6 is equivalent to 1 4/6)

\(\frac{8}{6}=\frac{4}{3}\) (8/6 is equivalent to 4/3)

Hope this helps!

Answer:

8

Step-by-step explanation:

Step 1: Write polynomial

4x⁵ - 16x² + 13x⁸

Step 2: Rearrange

13x⁸ + 4x⁵ - 16x²

The degree of a polynomial is the highest power. In this case, our degree would be 8 because of the x⁸ term being the largest exponent.

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The fractions of the hole above that are the standard 4 patterns blocks are as follows:Standard pattern block hexagon: 1/1 or 1Trapezoid: 0/1 or 0Parallelogram: 0/1 or 0Rhombus: 0/1 or 0

To find the fractions of the hole above that are the standard 4 patterns blocks, we need to analyze the given figures. The figures are as follows:

Figure 1: The standard pattern block hexagon

Figure 2: A trapezoid

Figure 3: A parallelogram

Figure 4: A rhombus

Now, we need to identify which of these figures fit into the given hole. Looking at the hole, we can see that it is in the shape of a hexagon. Therefore, the only pattern block that can fit into this hole is the standard pattern block hexagon. Hence, the fraction of the hole above that is the standard pattern block hexagon is 1/1 or simply 1. No other pattern blocks fit into the given hole. Therefore, the fractions of the hole above that are the standard 4 patterns blocks are as follows:

Standard pattern block hexagon: 1/1 or 1

Trapezoid: 0/1 or 0

Parallelogram: 0/1 or 0

Rhombus: 0/1 or 0

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Answer:

\(\tan{90^{\circ}}\)

Step-by-step explanation:

Because \(\cos{x}\) and \(\sin{x}\) are defined for all \(x\)(i.e. their domain is \((-\infty, \infty)\)), so they can never be undefined. However, \(\tan{90}=\sin{90}/\cos{90}=\sin{90}/0\), which is undefined, because you can't divide by \(0\). So, the answer is \(\boxed{\tan{90^{\circ}}}\)

Answer:

x = 18

Step-by-step explanation:

The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.

Combine like terms :

Divide both sides by 5 :

Answer:

\(y=\frac{5}{2}x-13\)

Step-by-step explanation:

Given the equation

\(y=-\frac{2}{5}x-1\)

comparing the equation with the slope-intercept form\(y=mx+b\)

Here,

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-8\right)=\frac{5}{2}\left(x-2\right)\)

\(y+8=\frac{5}{2}\left(x-2\right)\)

subtract 8 from both sides

\(y+8-8=\frac{5}{2}\left(x-2\right)-8\)

\(y=\frac{5}{2}x-13\)

The solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

The equation 4x^2 - 20x + 25 = 10 can be rewritten as 4x^2 - 20x + 15 = 0. To find the solutions to this equation, we can factor it or use the quadratic formula.

The equation factors as (2x - 5)(2x - 3) = 0. Setting each factor equal to zero, we get 2x - 5 = 0 and 2x - 3 = 0. Solving these equations, we find x = 5/2 and x = 3/2.

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± sqrt(b^2 - 4ac)) / 2a, we can determine the solutions.

In this case, a = 4, b = -20, and c = 15. Substituting these values into the quadratic formula, we get x = (-(-20) ± sqrt((-20)^2 - 4 * 4 * 15)) / (2 * 4), which simplifies to x = (20 ± sqrt(400 - 240)) / 8.

Simplifying further, we have x = (20 ± sqrt(160)) / 8, which becomes x = (20 ± 4sqrt(10)) / 8. Finally, simplifying again, we obtain x = 5/2 ± sqrt(10)/2, which gives us the same solutions as before: x = 5/2 and x = 3/2.

Therefore, the solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

To find the solutions to the equation, we can either factor it or use the quadratic formula. In this case, factoring and using the quadratic formula both yield the same solutions: x = 5/2 and x = 3/2. These values of x satisfy the equation 4x^2 - 20x + 25 = 10 when substituted back into the equation.

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Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

Answer:

The rule for this geometric sequence is that the number is being halved each time. This can be expressed as a general rule as follows: an = a1 * (1/2)^n-1 , where a1 is the first term, n is the number of the term in the sequence, and an is the nth term. Therefore, the nth term of this sequence is an = 64 * (1/2)^n-1.

The total number of possible combinations would be 2,598,960.

The sample space for this experiment would be all possible combinations of 5 cards from a deck of 52 cards. This would include all possible combinations of 5 cards of the same suit (e.g. 5 spades, 5 hearts, etc.), all possible combinations of 4 cards of one suit and 1 card of another suit (e.g. 4 spades and 1 heart, 4 hearts and 1 spade, etc.), all possible combinations of 3 cards of one suit and 2 cards of another suit, and so on. The total number of possible combinations would be 2,598,960.

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The probability mass function (pmf) of x is:

                    = 0.0020      for x = 1

                    = 0.1459       for x = 2

P(X = x) {      = 0.8825       for x = 3

                    = 0.5883       for x = 4

                    = 0                otherwise

In this question we have been given that after shuffling a deck of 52 cards, a dealer deals out 5. let x = the number of suits represented in the five-card hand.

We need to find the pmf of x.

here, sample space n = 52,

and x = 5.

Let x = the number of suits represented in the five - card hand.

So, all possible outcomes for above event would be,

N = 52C5

N = 2598960

For x = 1 (all are spades)

Then the number of ways to get 5 spades would be 13C5 = 1287

so there are 1287 hands of 5S.

Since there are 4 suits, we multiply 1287 by 4C1

Then P(x = 1) = (4 * 1287)/2598960

                     = 0.0020

For x = 2 (only spades and hearts with at least one of each suit)

Then we can have 4S and 1H; 3S and 2H; 2S and 3H; or 1S and 4H.

And the number of possible outcomes would be,

(13C4 * 13C1) + (13C3 * 13C2) + (13C2 * 13C3) + (13C1 * 13C4)

= 2[(13C4 * 13C1) + (13C3 * 13C2)]

= 2(715 * 13 + 286 * 78)

= 63206

We're choosing 2 suits from the 4, so we multiply this by 4C2 = 6

Then P(x = 2) = (6 * 63206)/2598960

                     = 0.1459

For x = 3  (a hand with S, H, and clubs (C))

Then we can have 3S, 1H, and 1C; 1S, 3H, and 1C; 1S, 1H, and 3C; 2S, 2H, and 1C; 2S, 1H, and 2C; or 1S, 2H, and 2C.

Using combination formula,

3[(13C3 * 13C1 * 13C1) + (13C2 * 13C2 * 13C1)]

= 3 [(286 * 13 * 13) + (78 * 78 * 13)]

= 382278

We're choosing 3 suits from the 4, so we multiply this by 4C3 = 6

Then P(x = 3) = (6 * 382278)/2598960

                     = 0.8825

For x = 4  (2 spades ∩ one of each other suit)

For this case the possible outcomes would be,

13C2 * 13C1 * 13C1 * 13C1

= 78 * 13 * 13 * 13

= 171366

Then we can have 3S, 1H, and 1C; 1S, 3H, and 1C; 1S, 1H, and 3C; 2S, 2H, and 1C; 2S, 1H, and 2C; or 1S, 2H, and 2C.

Using combination formula,

3[(13C3 * 13C1 * 13C1) + (13C2 * 13C2 * 13C1)]

= 3 [(286 * 13 * 13) + (78 * 78 * 13)]

= 382278

Then P(x = 4) = (4 * 382278)/2598960

                     = 0.5883

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The complete question is:

After shuffling a deck of 52 cards, a dealer deals out 5. let x = the number of suits represented in the five-card hand.

(a) find the pmf of x.

[hint: p(1) = 4p(all are spades), p(2) = 6p(only spades and hearts with at least one of each suit), and p(4) = 4p(2 spades ∩ one of each other suit)](round your answers to five decimal places.)

Answer:

Sarah gets 2 A's.

Step-by-step explanation:

Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.

Hope you have a great day,

Ginny

In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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Step-by-step explanation:

radius =x+2

diameter=4x

Diameter=2(radius)

4x=2(x+2)

4x=2x+4

4x-2x=4

2x=4

x=4/2

x=2

Subtitute x=2 in radius:

r=2+2=4

Area=πr²

Area=3.14×4²

Area=3.14×16

Area=50.24

Both the circles are identical so area is same.

Note:if you need to ask any question please let me know.

The number of gallons this well will produce before it runs out is 1.789 x 10⁷ gallons.

The given parameters;

The number of gallons this well will produce before it runs out is calculated from sum of sequence.

The sum of barrels produced is calculated as;

\(s_n = \frac{a}{1-r} = \frac{426}{1-0.999} = 426,000 \ barrels\)

The equivalent of this barrels in gallons is calculated as;

\(= 426,000 \ barrels\ \times \frac{42 \ gallons}{barrel} \\\\= 1.789 \times 10^{7} \ gallons\)

Thus, the number of gallons this well will produce before it runs out is 1.789 x 10⁷ gallons.

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Answer:

2 and 6

Step-by-step explanation:

The equation of the line from the given graph is y = 3x + 1.

With the aid of the line's slope and a point on the line, the equation of a line may be created. For a better understanding of how a line's equation is created, let's learn more about the line's slope and the necessary point on the line. The slope of a line is the angle that the line makes with the positive x-axis and can be stated as a numerical integer, fraction, or as the tangent of that angle. The term "point" refers to a coordinate system point with the x and y coordinates.

From the given graph we observe the two coordinates of the line are (0, 1) and (3, 10).

The slope of the line is given as:

m = y2 - y1 / x2 - x1

m = (10 - 1) / (3 - 0)

m = 9/3 = 3

The point-slope intercept is given as:

y - y1 = m (x - x1)

Substituting the values:

y - 1 = 3 (x - 0)

y - 1 = 3x

y = 3x + 1

Hence, the equation of the line is y = 3x + 1.

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Answer:

11.76 ft or 12 ft

Step-by-step explanation:

tan 30= x/12            tan 22=  x/12

x= 6.92                    x= 4.84

6.92+4.84=11.76ft

11.76 rounded to the nearest foot= 12ft

According to the given question -12 \(\times\) 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

\(\frac{-24}{3}\) = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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ANSWER

C = -4

EXPLANATION

Given:

15x +20y= -10

6x + 8y= c

Thus we have:

a1 = 15x, b1 = 20y, c1 = -10

and

a2 = 6x, b2 = 8y, c2 = c

The condition now is:

i.e:

Determine c using the x

Determine c using the y

Hence, the value of C that will make the systems a dependent system is -4.