En un cajón hay 10 pares de calcetines negros y 6 pares de calcetines blancos. Si se extraen 2 pares de calcetines aleatoriamente, que probabilidad hay

Equation of the line passing through the points (-6, 4) and (4, 4) in slope-intercept form is: y = 4

To write the equation of a line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b) using the given points (-6, 4) and (4, 4).

The slope (m) of a line can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Let's substitute the coordinates (-6, 4) and (4, 4) into the slope formula:

m = (4 - 4) / (4 - (-6))

 = 0 / 10

 = 0

Since the slope (m) is 0, the equation of the line will be in the form y = b, where b is the y-intercept.

To find the y-intercept (b), we can choose any point on the line and substitute its coordinates into the equation y = b. Let's choose the point (-6, 4):

4 = b

Therefore, the equation of the line passing through the points (-6, 4) and (4, 4) in slope-intercept form is:

y = 4

In this case, the line is a horizontal line at y = 4, meaning it is parallel to the x-axis. The slope is 0, indicating that there is no change in the y-coordinate as the x-coordinate varies.

So, the equation of the line is y = 4, where the y-intercept (b) is 4.

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Answer:

Let C be the position of a person in a helicopter. A,B be two objects lying opposite to each other on either bank of a river.

Let AD=x,BD=y

In ΔACD,

⇒tan30

o

=

AD

CD

​

⇒

3

​

1

​

=

x

700

​

⇒x=130

3

​

⇒x=130(1.732)=1212.4

∴ the width of the river =x+y

=1212.4+130

=1342.4m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Geoff is feeling peckish, so he decides to pop into the shop and grab some snacks. He picks up a packet of crisps for 25p, a can of soup for 68p and a watermelon for £1.47. He wonders why the watermelon is so cheap, but he doesn't question it. He goes to the cashier and hands over a £5 note. The customer behind Geoff wonders "how much change does he get back?"

To figure this out, we need to add up the price of the snacks and take it away from the money Geoff gave. We can use a dot to show the pence as parts of a pound. For example, 25p = 0.25 pounds.

The price of the snacks is:

0.25 + 0.68 + 1.47 = 2.40 pounds

The money Geoff gave is:

5.00 pounds

The change is:

5.00 - 2.40 = 2.60 pounds

So, Geoff gets £2.60 in change and a bargain watermelon.

Answer:

Answer:

2.60

Step-by-step explanation:

25+68+147=240

500-240=260

turn into pounds 2.60

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

if Mr. Kamau wants to give each of his children an equal amount of money, he can either:

Buy 1 item for his son (costing sh. 324) and 0 items for his daughter, giving each child sh. 162.

Buy 1 item for his son (costing sh. 324) and 1 item for his daughter (costing sh. 220), giving each child sh. 272.

Step-by-step explanation:

Let x be the number of daughter items that Mr. Kamau will buy for his daughter. Since the son's item costs sh. 324, we know that each child should receive sh. (324 + 220x)/2.

We want to find how many items each child will buy, so we need to solve for x in the equation:

(324 + 220x)/2 = 220

Multiplying both sides by 2, we get:

324 + 220x = 440

Subtracting 324 from both sides, we get:

220x = 116

Dividing both sides by 220, we get:

x = 0.527

Since we can't buy a fraction of an item, Mr. Kamau should buy either 0 or 1 daughter item for his daughter. If he buys 0 daughter items, he can give his son sh. (324 + 2200)/2 = sh. 162. If he buys 1 daughter item, he can give each child sh. (324 + 2201)/2 = sh. 272. Therefore, the possible scenarios are:

Mr. Kamau buys 0 daughter items. His son buys 1 item and his daughter buys 0 items.

Mr. Kamau buys 1 daughter item. His son buys 1 item and his daughter buys 1 item.

The leaf representation is given as

              14 l

              15 l 1447

              16 l 56

              17 l 8

              18 l 366

The 10th means that after the decimal, So the foundation must be the 15.1. This will be the 15.4, 15.7, 16.5 16.6 17.8 18.3 18.6 and 18.6.

In order to help visualize the shape of a distribution, a stem-and-leaf display or stem-and-leaf plot is a tool for presenting quantitative data in a graphical manner, comparable to a histogram.

The adoption of monospaced (typewriter) typestyles during that period contributed to their appeal since they made it simple for then-current computer technology to create the images. The improved graphic capabilities of modern computers have reduced the employment of these techniques.

While a stemplot is another name for a stem-and-leaf plot, it frequently refers to a different kind of chart. The term "simple stem plot" may refer to the mapping of a matrix of y values to a common x axis, along with the identification of the common x value by a vertical line and the individual y values by symbols on the line.

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Answer:

x=60

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf x=60}}\)

Step-by-step explanation:

If the lines m and n are parallel, then the 2 inside angles that make a "C" shape are co-interior angles. These are supplementary or add up to 180 degrees.

Therefore, for m and n to be parallel, then x and 2x must add up to 180 degrees.

\(x+2x=180\)

Solve for x. First, combine like terms on the left side of the equation. Add x and 2x.

\(3x=180\)

Solve for x by isolating the variable. It is being multiplied by 3. The inverse operation of multiplication is division. Divide both sides of the equation by 3.

\(\frac{3x}{3}= \frac{180}{3}\)

\(x= \frac{180}{3}\)

\(x=60\)

The value of x that makes m parallel to n is 60.

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

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Answer:

Multiply 350 by 1.68.

f(x)=588x

decay

The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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Answer:

x=2.7

Step-by-step explanation:

21x=57

21x/21=57/21

x=2.7

Answer:15

Step-by-step explanation:

Answer:

i guess you are trying to find out what the "some blue seats are". Lets show this as x.  So you are trying to find x. Now 88 seats in the theater divided by the 4 identical sections. that would give you 22. Now like you said 14 of the seats are red..That means that we have to find out what the blue is or x. 22-14 is 8. That means that there are 8 seats left that are not red...That means that 8 seats in the theater are blue.

The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.

It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.

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A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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Answer:

355 plus the amount of d will be greater than or equal to 575

Step-by-step explanation:

Answer:

\( \boxed{m \angle SZT = 121 \degree } \)

Given:

\(m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree \)

Step-by-step explanation:

\(= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree \)

If the number of clusters in k-means clustering is equal to the number of data points, then each data point will form its own cluster. In this case, the sum of squared errors within each group will be zero, as there will be no other data points in the same cluster to calculate an error with.

The sum of squared errors within a cluster is a measure of how spread out the data points in that cluster are from the centroid (or center) of the cluster. When there is only one data point in a cluster, there is no deviation from the centroid, and therefore no error.

However, this scenario of having as many clusters as data points is not ideal for clustering analysis. The purpose of clustering is to group similar data points together based on their attributes, so having each data point in its own cluster defeats this purpose. In such a scenario, there is no useful information gained from the clustering analysis.

In practice, the number of clusters in k-means clustering is typically chosen based on other criteria, such as the elbow method or silhouette coefficient, to ensure that the resulting clusters are meaningful and informative.

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For each of the given functions, let's analyze the returns to scale.

A. Q = K + L:
This function represents a linear relationship between the inputs of capital (K) and labor (L) and the output (Q). In this case, the returns to scale can be described as constant. If both K and L are increased by a certain proportion, the output Q will increase proportionally. For example, if K and L are both doubled, the output Q will also double. Thus, function A exhibits constant returns to scale.

B. Q = K^(1/2) * L^(3/4):
This function represents a non-linear relationship between the inputs of capital (K) and labor (L) and the output (Q). Here, the returns to scale can be described as increasing. If both K and L are increased by a certain proportion, the output Q will increase more than proportionally. For instance, if K and L are both doubled, the output Q will increase by a factor greater than 2. Therefore, function B exhibits increasing returns to scale.

C. Q = K^2 * L:
This function also represents a non-linear relationship between the inputs of capital (K) and labor (L) and the output (Q). In this case, the returns to scale can be described as decreasing. If both K and L are increased by a certain proportion, the output Q will increase less than proportionally. For example, if K and L are both doubled, the output Q will increase by a factor less than 4. Hence, function C exhibits decreasing returns to scale.

function A exhibits constant returns to scale, function B exhibits increasing returns to scale, and function C exhibits decreasing returns to scale.

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(1)Elena should purchase a rainproof tarp that is at least 140 ft² in size. Option E (2)it would take 140 ft³ of water to fill the tent completely. Option A.

(1) To determine the size of the rainproof tarp Elena should purchase, we need to calculate the total surface area of the tent.

The tent has 4 sides, and each side has the same dimensions. Given that the height of the tent is 8.75 ft and the length and breadth are both 4 ft, the surface area of each side can be calculated as:

Side area = Length × Height = 4 ft × 8.75 ft = 35 ft²

Since there are 4 sides, the total surface area of the tent is:

Total tent surface area = Side area × 4 = 35 ft² × 4 = 140 ft²

Therefore, Elena should purchase a rainproof tarp that is at least 140 ft² in size.

The correct option would be e) X-Large: 144 ft², as it is the only size that is equal to or greater than the required size.

(2) If the tent fills up completely with water, we can calculate the volume of water it would hold using the formula:

Volume = Length × Breadth × Height

Given that the length and breadth of the tent are both 4 ft and the height is 8.75 ft, we can substitute these values into the formula:

Volume = 4 ft × 4 ft × 8.75 ft = 140 ft³

Therefore, it would take 140 ft³ of water to fill the tent completely.

Hence, the correct answer is 140 ft³. So Option E is correct  for 1. and Option A is correct for 2

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Answer:

1/15

Step-by-step explanation:

Original length 3 in; New Length= 45

Original width 5 ;new width= 75

So 3/45

=5/75

=1/15

Hope it helps!

Answer:

Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.

Step-by-step explanation:

wra

 Therefore, Biren and Cemal get $(640 - $160) = $480. Let us find the share of Biren and Cemal in the ratio 15:9. Total ratio is 24. Share of Biren = (15/24) × $480 = $300  Share of Cemal = (9/24) × $480 = $180.

Therefore, Biren and Cemal receive $300 and $180 respectively.c) Aasha has $160 and she wants to buy books which costs $15. Therefore, she can buy a maximum of $160/$15 = 10.6 books.

Since she cannot buy a part of the book, she can buy a maximum of 10 books.d) Biren's share = 15/32 × 640 = $300Amount spent on clothes = 3/8 × $300 = $112.5

Amount spent on a computer = 1/3 × $300 = $100Left fraction = 1 - (3/8 + 1/3) = 1 - (9 + 8)/24= 1 - (17/24) = 7/24Therefore, Biren has 7/24 fraction of his share left. Answer:

So, the answer is:a) Aasha receives $160b) Biren and Cemal get $300 and $180 respectively.

c Aasha can buy a maximum of 10 books.d) Biren has 7/24 fraction of his share left.

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The table represents two different functions, where function g(x) is the exponential function

For a function to be an exponential function, the following must be true about the function:

\(r = \frac{y_{n+1}}{y_n}\)

Using the table of values (see attachment), we have:

Function f(x)

r = 12147367/11833485.4 ≈ 1.026525

r = 12464241.8/12147367 ≈ 1.026086

Function g(x)

r = 12112204/11412611 ≈ 1.0613

r = 12854683/12112204 ≈ 1.0613

Notice that the values of r in the function g(x) are the same

Hence, the exponential function is the function g(x)

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The standard deviation of binomial distribution is:  σ = sqrt(σ²) = sqrt(2)≈1.41

Hence, the standard deviation of the random variable X is 1.41 (approx).So, the standard deviation of the random variable X is 1.41 (approx).

Given that we flip a coin independently 8 times where each flip has a probability of heads given by 0.5. Let the random variable X be the total number of heads.

Solution: Given that we flip a coin independently 8 times and the probability of heads is given by 0.5.

Let X be the random variable, which is the total number of heads when the coin is flipped 8 times.In this case, X follows binomial distribution with n = 8 and p = 0.5.

The mean of the binomial distribution is μ = np = 8 x 0.5 = 4. The variance of binomial distribution is σ² = npq, where q = 1 - p = 0.5.σ² = 8 x 0.5 x 0.5 = 2.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

The correct option is: (i) and (iii) are correct statements but not (ii).

The correct answer is:

(i) The uniform probability distribution's shape is a rectangle.

(ii) The uniform probability distribution is symmetric about the mode.

(iii) In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

Therefore, the correct option is: (i) and (iii) are correct statements but not (ii).

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1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Answer:

A and E

Step-by-step explanation:

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula

it is important that the x and y coordinates are placed correctly, that is not mixed together.

First version

let (x₁, y₁ ) = X (- 5,  4 ) and (x₂, y₂ ) = Y (7, 15 ) , then

XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A

or

Second version

let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then

XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E

The statement is false. A parameter is a descriptive measure of a whole population.

A parameter tells us about a whole population. It means that a parameter should be found to understand all the characteristics of a population. A population itself is the entire group that we want to study.

For example: A population mean. We take a class as the population. We asked them about age and found that the average age is 20. That is a parameter.

A statistic otherwise tells us about some parts of the population. It describes a sample. A sample itself is a small group taken from the population.

For example: A sample mean. We take some people of the class to interview their age. We found the average age is 21. This is a statistic.

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