How can you prove that two triangles are similar in a circle?

Since each input is mapped to only one output, the best description of the ordered pairs is given by:

B. both a relation and a function.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x, y), we have that:

=> x is the input.

=> y is the output.

=> The meaning is that the input x is mapped to the output y.

For this problem, the points are given as follows:

(-2, -1), (1, -4), (5, -8), (9, -12)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

B. both a relation and a function.

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Answer:

Answer: D : Median, because there is 1 outlier that affects the center

Step-by-step explanation:

Mean and median terms are use to measure the central tendency in a data set.

Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.

In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.

Answer:

Step-by-step explanation:

F: x * x  = x^2

O:9 * x = 9x

I : 7 * x = 7x

L: 7 * 9 = 63

x^2 + 9x + 7x + 63

x^2 + 16x + 63

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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Angle 1 and angle 2 are supplementary angles, simply because they are angles on a straight like (or you can say angles that add up to 180)

Answer:

supplementary angles

Step-by-step explanation:

Supplementary angles add up to 180 and are straight.

Answer:

11

Step-by-step explanation:

x=2

5*2+1=10+1=11

Answer: g(2) = 11

Step-by-step explanation:

So, you the 2 as x for 5x + 1, and you get 10 + 1. Then you can get an 11 as your answer.

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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The total amount of money that Mike made during summer by solving the equation formed is $3360. And the time that Mike worked whole summer at Six flags was 360 hours.

An equation, like 6 x 4 = 12 x 2, is used to demonstrate that two amounts or values are equal. Numerical noun An equation is a circumstance in which two or more components must be taken into account in order to perceive or comprehend the circumstance as a whole.

a) Let's denote the number of hours that Milk worked at Six Flags as x. Then, the amount of money he earned from Six Flags is given by:

9x

The amount of money he earned from babysitting his sister is given by:

120

Therefore, the total amount of money he made over the summer is:

9x + 120= $3360

b) We are given that the total amount of money Milk earned over the summer is $3,360. Setting this equal to the equation for the total amount of money he made above, we get:

9x + 120 = 3360

Subtracting 120 from both sides:

9x = 3240

Dividing both sides by 9:

x = 360

Therefore, Mike worked 360 hours at Six Flags over the summer.

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Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

Answer:

HCF = 33.

Step-by-step explanation:

99 = 3*3*11

165 = 3*5*11

3 and 11 are common so the HCF = 3*11

= 33.

The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases

A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.

The linear regression equation is presented as follows;

y = a + b•x

Where;

\( \displaystyle{ b = \frac{ \sum (x - \bar x) \times (y - \bar y)}{ (x - \bar x)^{2} } }\)

\( \displaystyle{ a = \frac{ \sum (y ) + b \times \sum (x)}{ n } }\)

\( \displaystyle{ \bar x}\) =(0+1+2+3)/4 = 1.5

\( \displaystyle{ \bar y}\) =(994+946+928+880)/4 = 937

\( \displaystyle{ \sum x}\) =(0+1+2+3) = 6

\( \displaystyle{ \sum y}\) =(994+946+928+880) = 3748

n = 4

Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;

y = 991 - 36•x

Which gives;

b = -36

a = 991

From the given parameters, we have;

x = The number of years since 2003

y = The number of newly reported crime cases

Required;

The number of projected new cases in 2011

Solution;

In 2011, x = 2011 - 2003 = 8

Which gives;

y = 991 - 36×8 = 703

The number of newly reported crime cases in 2011 is 703

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a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

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To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.

Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.

What is a dataset, using an example?

A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.

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The ladder reaches approximately 22.66 feet up the side of the building. By applying the sine function to the triangle formed by the ladder, the height the ladder reaches can be calculated.

To determine how high the ladder reaches up the side of the building, we can use trigonometry.

Let's denote the height the ladder reaches as h.

We have the following information:

The length of the ladder (hypotenuse) is 23 ft.

The angle between the ground and the ladder is 80°.

We can use the sine function, which relates the opposite side to the hypotenuse, to solve for h.

sin(80°) = h / 23

Rearranging the equation, we have:

h = 23 * sin(80°)

Using a calculator to evaluate sin(80°), we find:

h ≈ 23 * 0.9848

h ≈ 22.66 ft

Therefore, the ladder reaches approximately 22.66 ft up the side of the building.

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The raccoon's kits, weighing 2(1)/(2) pounds each, have a total weight of 5 pounds combined.

To calculate the total weight of the kits, we need to multiply the weight of each kit by the number of kits.

Weight of each kit = 2(1)/(2) pounds

Number of kits = 2

Total weight of the kits = Weight of each kit × Number of kits

Total weight of the kits = 2(1)/(2) × 2

Total weight of the kits = 5 pounds

Therefore, the kits weigh a total of 5 pounds in all.

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Answer:

5d+4

Step-by-step explanation:

Number of ticket sold by Daniel = d .... 1

If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2

If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3

The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;

d+(d+4)+3d

Collect like terms

= d+d+3d+4

= 2d+3d+4

= 5d+4

Hence the number of tickets that the 3 students sold altogether is represented as 5d+4

Answer:

5d+4

Step-by-step explanation:

Have a good day

Step-by-step explanation:

Hope I was able to help. Good luck!

Answer:

it should be D fs because the numbers would be negative

Bayes' Theorem is a fundamental concept in probability theory that relates conditional probabilities.

It states that for events A and B, where P(B) is not equal to 0, the conditional probability of event A given that event B has occurred is equal to the probability of event B given that event A has occurred, multiplied by the probability of event A, divided by the probability of event B.

In the given scenario, we want to find the probability that the cookie came from the blue jar given that the selected cookie was a chocolate chip. Let's denote:

- A: The cookie came from the blue jar

- B: The selected cookie is a chocolate chip

According to the information provided, there are a total of 11 chocolate chip cookies in the blue jar, 12 chocolate chip cookies in the red jar, and 13 chocolate chip cookies in the green jar.

To apply Bayes' Theorem, we need to calculate the probabilities involved:

- P(A): Probability of selecting the blue jar = 1/3 (since there are three jars)

- P(B|A): Probability of selecting a chocolate chip cookie given that it came from the blue jar = 11/(10 + 11) = 11/21

- P(B): Probability of selecting a chocolate chip cookie = (11 + 12 + 13)/(10 + 11 + 9 + 12 + 10 + 13) = 46/65

Now we can apply Bayes' Theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

        = (11/21 * 1/3) / (46/65)

        = 55/138

        ≈ 0.399 (rounded to three decimal places)

Therefore, the probability that the cookie came from the blue jar, given that the selected cookie was chocolate chip, is approximately 0.399.

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Answer:

-11-8 + 80 - -9

Answer:

x=3. answer explained in picture

Answer:

2

Step-by-step explanation:

area of a parallelogram : b x h (base x height)

since there are no measurements, we are looking at the squares

im assuming that the squares are 1x1 squares

hence, for the base of the parallelogram, we are counting the squares

i added the halves together and got the answer 2

then we need to take the height

which im also assuming is 1

b x h = 1 x 2

a = 2

sorry if this is wrong but the angle that it was taken at, is not very clear ; (

The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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Answer:

both cost $12

Step-by-step explanation:

Let's say the price of a senior citizen ticket is s dollars and the price of a child ticket is c dollars.

For, say, 7 senior citizen tickets, the cost would be s 7 times, or s * 7. Similarly, 6 child tickets would cost 6c. The total amount of (senior citizen ticket cost) + (child ticket cost) would equal the total sales.

Therefore,

first day:

7s + 6c = 156

second day:

7s + 3c = 120

7s + 6c = 156

7s + 3c = 120

we can solve this by solving for c in terms of s in one equation and plugging that into the other equation

7s + 6c = 156

subtract 7s from both sides to isolate the c and its coefficient

156 - 7s = 6c

divide both sides by 6 to isolate c

(156-7s)/6 = c

26-(7/6)s = c

plug that into the other equation

7s+3c = 120

7s + 3 (26-(7/6)s) = 120

7s + 78 - (21/6)s = 120

7s + 78 - (7/2)s = 120

(7/2)s + 78 = 120

subtract 78 from both sides to isolate s and its coefficient

(7/2)s = 42

multiply both sides by 2/7 to isolate s

12 = s

26 - (7/6)s = c

26 - 14 = c = 12

Answer:

17<9+x

Step 1: Simplify both sides of the inequality.

17<x+9

Step 2: Flip the equation.

x+9>17

Step 3: Subtract 9 from both sides.

x+9−9>17−9

x>8

Answer:

x>8

Step-by-step explanation:

Step-by-step explanation:

the answer is b

need to add extra letters

Answer:

13.5√(3) ft^2

Step-by-step explanation:

In this, question, we are to calculate the area of the hexagon

Mathematically, we can calculate the area of a hexagon using the formula;

A = {3√(3)/2}a^2

where a is the length of the side which is 3 feet

substituting the value of 3 into the formula, we have;

A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2

Answer:

13.5√(3) ft^2

Step-by-step explanation:

ANSWER

∡5

EXPLANATION

Corresponding angles are the ones that are on the same side of the transversal and on the same side of each of the parallels

Answer: V=pi*r^2

Step-by-step explanation:

Step-by-step explanation:

The following formula's can be used to find the volume, surface area, and lateral area of a cylinder.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Volume of a Cylinder}}\\\\V=\pi r^2 h\end{array}\right}\)

Where:

\(\boxed{\left\begin{array}{ccc}\text{\underline{Surface Area of a Cylinder}}\\\\SA=2\pi rh+2 \pi r^2\end{array}\right}\)

Where:

\(\boxed{\left\begin{array}{ccc}\text{\underline{Lateral Area of a Cylinder}}\\\\LA=2\pi rh\end{array}\right}\)

Where:

The lateral area refers to the surface area excluding the top and bottom circular bases of the cylinder.