Suppose A = {2, 4, 5, 6, 7} and B = {2,4,5,6,8}. Find each of the following sets. = = Your answers should include the curly braces a. AUB. b. AnB. C. A B. d. B\A.

The sum to infinity of the function is -3/2

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

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

Answer:

Step-by-step explanation:

Có: 7(x+y+z)=5

=>x+y+z = 5/7 (1)

Lại có:

+) y(x+y+z)=9

=>y×5/7=9

y=9: 5/7

y=63/5 (2)

+) x(x+y+z)=-5

=>x×5/7=-5

x=-5:5/7

x=-7 (3)

Từ (1);(2) và (3) => -7+63/5+z =5/7

=>28/5+z=5/7

=>z=-171/35

Vậy ....

The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.

Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).

The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.

For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.

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Therefore, the answer is:

b. 2 and 3

Using the concepts and properties of mean and standard deviation, it is found that:

-------------------

In this problem:

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Considering the value of the equation after each iteration of the loop, the output value of s is 25.

We have that i ranges from 1 to 3, and from each value of i, j ranges from 1 to 1. s starts at 0, hence, for each iteration, the value of s is found as follows. The output value is the value after the last iteration.

The output value of s is of 25.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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Answer:

120

Step-by-step explanation:

The coefficient of skewness is 0 and coefficient of Kurtosis is 0.125.

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial. It is usually a number, but sometimes may be replaced by a letter in an expression. For example, in the expression: ax2 + bx + c, x is the variable and 'a' and 'b' are the coefficients.

coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient.

Let \($x$\) denote the claim sizes

\(& x= \begin{cases}100 & ; p=0.05 \\200 & ; p=0.2 \\300 & ; p=0.5 \\400 & ; p=0.2 \\500 & ; p=0.05\end{cases}\)

\(& \mu_1^{\prime}=\varepsilon(x)=\sum x^0 p(x=x)=300 \\\\& \mu_2{ }^{\prime}=\sum x^2 p(x)=98000 \\\\& \mu_3^{\prime}=\sum x^3 p(x)=342 \times 10^5 \\\)

\(& \mu_4^{\prime}=\sum x^4 p(x)=1.262 \times 10^{10} \\\\& \mu_2=\mu_2^{\prime}-\left(\mu_1^{\prime}\right)^2=8000 \\\\& \mu_3=\mu_3^{\prime}-3 \mu_2^{\prime} \\\\\mu_1^{\prime}+2\left(\mu_1^{\prime}\right)^3=0 \\\\& \mu_4=\mu_4^{\prime}-4 \mu_3^{\prime} \mu_1^{\prime}+6\)

\(\mu_2^{\prime} \mu_1^{\prime 2}-3 \mu_1^{\prime 4} \\& \mu_4=2 \times 10^8 \\\\& \beta_1=\frac{\mu_3{ }^2}{\mu_2^3}=0 \quad \Rightarrow y_1=0 \\\\& \beta_2=\frac{\mu_4}{\mu_2{ }^2}=\frac{2 \times 10^8}{64 \times 10^6}=3.125\\ \\& y_2=\beta_2-3=0.125 \\\)

Therefore, coefficient of skewness is 0 and coefficient of Kurtosis is 0.125.

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Given:

\(g(x)=-(x-2)^4\)

\(f(x)=x^4\)

To find:

How does the graph of g(x) compare to the parent function of f(x)?

Solution:

The translation is defined as

\(g(x)=kf(x+a)+b\)                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then graph of f(x) reflected over x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

\(f(x)=x^4\)

\(g(x)=-(x-2)^4\)

So,

\(g(x)=-f(x-2)\)    ...(2)

From (i) and (ii), we get

\(k=-1<0\), it means g(x) reflected over the x-axis.

\(a=-2<0\), it means g(x) shifted 2 units to the right .

Therefore, the correct option is A.

Answer:

A. g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:

The calculated value of the side length in the triangle is 144

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

The simiar triangles

Using the theorem of corresponding sides, we hav

GH = 2JK

So, we have

10x - 36 = 2 * 4x

Multiply

So, we have

10x - 36 = 8x

Evaluate

2x = 36

So, we have

x = 18

This means that

GK = 4 * 18

GK = 144

Hence, the indicated side length in the triangle is 144

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Answer:

\(k=\dfrac{5}{4}\)

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

\(k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}\)

So, the constant of variation is \(\dfrac{5}{4}\).

A higher percentage of people who did not wear wrist guards (41.67%) experienced wrist injuries compared to those who did wear wrist guards (11.32%).

Based on the information provided, we can analyze the data on injuries to in-line skaters. Let's break down the given numbers:

Total number of people interviewed: 161

Number of people wearing wrist guards: 53

Number of people wearing wrist guards with wrist injuries: 6

Number of people not wearing wrist guards: 108

Number of people not wearing wrist guards with wrist injuries: 45

From this information, we can calculate the following:

Percentage of people wearing wrist guards with wrist injuries:

(Number of people wearing wrist guards with wrist injuries / Number of people wearing wrist guards) × 100

= (6 / 53)× 100 ≈ 11.32%

Percentage of people not wearing wrist guards with wrist injuries:

(Number of people not wearing wrist guards with wrist injuries / Number of people not wearing wrist guards)×100

= (45 / 108) ×100 ≈ 41.67%

These calculations provide insights into the likelihood of wrist injuries in relation to wearing wrist guards while inline skating. The data suggests that the percentage of wrist injuries among those wearing wrist guards is lower (11.32%) compared to those not wearing wrist guards (41.67%). This indicates that wearing wrist guards may offer some protection against wrist injuries while inline skating.

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Using proportions, it is found that the conservationist would expect there to be 310 trouts in the lake.

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

Direct relations, which are the most usual, are when both variable behave similarly(both increase or both decrease), while for inverse relations, they behave differently.

For this problem, we have that from the fact that out of the 26 trout, 13 were tagged, the proportion of tagged trouts is:

p = 13/26 = 0.5.

Hence, if 155 trouts were tagged, the expected amount is given by:

0.5n = 155

n = 155/0.5

n = 155 x 2

n = 310.

The conservationist would expect there to be 310 trouts in the lake.

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Answer:

300 liters per hour

Step-by-step explanation:

5,000mL * 60(mins) = 300,000 mL per hour

we divide 300,000 mL by 1000 to get 300 liters per hour.

Answer:

3/4 or 45 minutes each

Step-by-step explanation:

3 hours are equivalent to 180 minutes which you can then divide by 4. 180/4=45. 45/60 when simplified completely equals 3/4 of an hour

Answer:

why is there a korean letter in there im  so lost lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

천만에요

너 도넛

Answer: 4/13

Step-by-step explanation: There are a total of 13 chocolates, and 4 of those are dark chocolate with peanuts.

Probability that the chocolate you eat is a dark chocolate with peanuts is 4/13.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Total number of milk chocolates = 7

Total number of dark chocolates = 6

Number of milk chocolates that have peanuts inside = 5

Number of dark chocolates that have peanuts inside = 4

Total number of chocolates = 7 + 6 = 13

Probability that the randomly selected chocolate is a dark chocolate with peanuts = 4/13

Hence the required probability is 4/13.

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The rate of change is always the same for a straight line no matter the points used.

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

In triangle BAC:

Rate of change = change in y(cost) / change in x(pens) = (6 - 0) / (3 - 0) = 2

In triangle BDE:

Rate of change = change in y(cost) / change in x(pens) = (8 - 0) / (4 - 0) = 2

The rate of change is always the same for a straight line no matter the points used.

Answer:

63cm³

Step-by-step explanation:

The shape above is a rectangular prism

The formula for a rectangular prism is given as:

= Length × Width × Height

Length = 3cm

Width = 3cm

Height = 7cm

= 3cm × 3cm × 7cm

= 63 cm³

The volume of the rectangular prism = 63cm³

Answer:

112°

Step-by-step explanation:

\(m \angle \: 3 = m \angle 2 = (x + 38) \degree..(vertical \: \angle s) \\ m \angle \: 3 + m \angle \: 5 = 180 \degree \\ \\ (4x + 60) \degree = 180 \degree \\ \\ x = 30 \\ \\ m \angle \: 5 =112 \degree \: \)

Answer:

w = 20

Step-by-step explanation:

2 (3w - 6) = 5w + 8

distribute the 2

6w - 12 = 5w + 8

subtract 5w from both sides

w - 12 = 8

add 12 to both sides

w = 20

Answer:

The value of w is 20.

Step-by-step explanation:

Solution :

\({\longmapsto{\tt{2(3w - 6)=5w + 8}}}\)

\({\longmapsto{\tt{(3w \times 2 )- (6 \times 2)=5w + 8}}}\)

\({\longmapsto{\tt{(6w)- (12)=5w + 8}}}\)

\({\longmapsto{\tt{6w - 12=5w + 8}}}\)

\({\longmapsto{\tt{6w - 5w = 8 + 12}}}\)

\({\longmapsto{\tt{w = 20}}}\)

Hence, the value of w is 20.

\(\rule{300}{2.5}\)

The example that is not considered quantitative data among the given options is the "Condition of deck (good, fair, poor)".

Quantitative data refers to the information that can be expressed numerically or in terms of quantity. It deals with measurable quantities or attributes. The other three options, namely, "Average daily traffic", "Length of maximum span (feet)", and "Number of vehicle lanes" all represent numerical values that can be measured, hence they are considered quantitative data. However, the "Condition of deck (good, fair, poor)" does not have any numerical representation, it is just a categorical description of the condition of the deck.

the given options represent various types of data, including quantitative and categorical. The "Condition of deck (good, fair, poor)" is the example of categorical data among them.

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Therefore, the only example in the given options that is an example of qualitative data is "Condition of deck (good, fair, poor)" because it describes the quality or condition of a phenomenon.

The qualitative data is the type of data that describes the qualities or characteristics of a phenomenon, while quantitative data is the type of data that expresses a measurable quantity or amount. On the other hand, the remaining options are examples of quantitative data because they express a measurable quantity or amount. For instance, "Average daily traffic" can be measured by counting the number of vehicles that pass by a certain location during a day, "Length of maximum span (feet)" is a measurable quantity, and "Number of vehicle lanes" can be counted as well.

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The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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Answer:

0.7241

Step-by-step explanation:

sin = \(\frac{opposite}{hypotenuse}\)

In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it

\(a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1\)

So now you have the opposite (2.1)

so now you would divide \(\frac{2.1}{2.9} or 0.7241\)

Answer:

\( \sin X = 0.7241 \)

Step-by-step explanation:

For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

\( \cos X = \dfrac{adj}{opp} \)

\( \cos X = \dfrac{2.0}{2.9} \)

\( \cos X = 0.689655 \)

Since we now know the value of cos X, we can find the value of sin X by using the trig identity

\( \sin^2 X + \cos^2 X = 1 \)

\( \sin^2 X + (0.689655)^2 = 1 \)

\( \sin^2 X = 0.524376 \)

\( \sin X = 0.7241 \)

The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

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1+1= 2 so if is add 1 doller and i p,opemimcn3 h3 hnhnhn3