Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

The radius of the circle j is 10 units.

We have been given that the line segment KL is tangent to circle J at point K

so, KL is perpendicular to KJ

and the triangle KJL is a right triangle

Applying the Pythagorean Theorem,

LJ² = KL² + KJ²

(16 + r)² = 24² + r²

16² + 32r + r² = 24² + r²

32r = 576 - 256

32r = 320

r = 10 units

Therefore, the radius of the circle j is 10 units.

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Given question is incomplete.

An image associated to given question is as shown below.

The total number of possible passwords is 17,576,000.

There are several steps involved in calculating the total number of possible passwords.

Step 1: Determine the number of possible choices for the first lowercase letter. Since there are 26 letters in the alphabet, and the password consists of lowercase letters, there are 26 choices for the first letter.

Step 2: Determine the number of possible choices for the second lowercase letter. Since there are 26 letters in the alphabet and repetition is allowed, there are 26 choices for the second letter.

Step 3: Determine the number of possible choices for the capital letter. Since the password requires a capital letter, there are 26 choices for this position.

Step 4: Determine the number of possible choices for the first digit. Since there are 10 digits (0-9), there are 10 choices for the first digit.

Step 5: Determine the number of possible choices for the second digit. Since there are 10 digits (0-9) and repetition is allowed, there are 10 choices for the second digit.

Step 6: Determine the number of possible choices for the third digit. Since there are 10 digits (0-9) and repetition is allowed, there are 10 choices for the third digit.

Step 7: Determine the number of possible choices for the fourth digit. Since there are 10 digits (0-9) and repetition is allowed, there are 10 choices for the fourth digit.

Step 8: Multiply the number of choices for each position together to get the total number of possible passwords.

Using the multiplication rule of counting, we get:

Total number of possible passwords = (Number of choices for the first lowercase letter) x (Number of choices for the second lowercase letter) x (Number of choices for the capital letter) x (Number of choices for the first digit) x (Number of choices for the second digit) x (Number of choices for the third digit) x (Number of choices for the fourth digit)

Total number of possible passwords = 26 x 26 x 26 x 10 x 10 x 10 x 10

Total number of possible passwords = 17,576,000

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Answer: 53,130 possible combinations

Step-by-step explanation:

First, we want to find how much is the 20% of 25.

This is:

N = (20%/100%)*25 = 5.

So 5 students out of 25 are selected.

When we want to calculate the number of combinations of N elements it a group of K elements, we have:

\(C = \frac{N!}{(N - K)!*K!}\)

Here N = 25, and K = 5

\(C = \frac{25!}{20!*5!} = \frac{25*24*23*22*21}{5*4*3*2*1} = 53,130\)

so we have 53,130 combinations.

Answer:

44.4

Step-by-step explanation:

7 4/10x5=37

37+7 4/10=44.4

1)

x+10<-7

bring 10 to the other side

x<-10-7

x<-17

2)

-3x-4>5

bring -4 to the other side

-3x>9

divide -3 at the other side, since it is negative it changes to less than

x<-3

To calculate the distance between the southeast corner of section 4 and the northwest corner of section 34 in a given township, we need to consider the dimensions and layout of the township.

In a township, there are 36 sections arranged in a 6 by 6 grid, numbered from 1 to 36. Each section is typically a square with equal dimensions.

To find the distance between the southeast corner of section 4 and the northwest corner of section 34, we can calculate the number of sections between them in the horizontal and vertical directions.

Starting from section 4, we move horizontally to the right by 3 sections (since section 4 is in the first column and we need to reach the fourth column).

Then, we move vertically upwards by 5 sections (since section 4 is in the sixth row and we need to reach the first row).

So, the southeast corner of section 4 is 3 sections to the right and 5 sections upwards from the northwest corner of section 34.

Next, we need to consider the dimensions of each section. If each section has a side length of "d" units, the distance between the southeast corner of section 4 and the northwest corner of section 34 can be calculated as follows:

Distance = √((3d)^2 + (5d)^2)

= √(9d^2 + 25d^2)

= √(34d^2)

= √34d

Therefore, the distance between the southeast corner of section 4 and the northwest corner of section 34 is √34 times the side length "d" of each section in the township.

The specific value in units would depend on the given dimensions of each section

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The experimental probability that Roberto will get a hit during his next time at bat is 0.25 or 25%.

The experimental probability of an event is calculated by dividing the number of times the event occurred by the total number of trials.

In this case, the event is "getting a hit" and the number of times it occurred is 11. The total number of trials is 44, which represents the number of times Roberto was at bat.

Experimental probability of getting a hit = Number of times Roberto got a hit / Total number of times at bat

Experimental probability of getting a hit = 11 / 44

Experimental probability of getting a hit = 0.25 or 25%

Therefore, the experimental probability that Roberto will get a hit during his next time at bat is 0.25 or 25%.

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The number of students enrolled in an honor class is 1250.

Percentage is a fraction or a ratio in which the value of whole is always 100. Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%". The percentage formula is used to find the share of a whole in terms of 100. Using this formula, you can represent a number as a fraction of 100. If you observe carefully, all the three ways to get percentage shown above can be easily calculated by using the formula given below:

Percentage= (Value/Total Value)×100

Percentage difference is the change in the value of a quantity over a period of time in terms of percentage.

Number of students enrolled in an honor class

= 50% of 2,500

2,500 ÷ 100 × 50

= 1250

Thus, the number of students enrolled in an honor class is 1250.

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(A) A normal distribution centered at 1/3 with a standard deviation of about 0.0351.

Normal Distribution:

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. The normal distribution model is important in statistics and is the key to the central limit theorem (CLT). The theory states that means computed from independent, identically distributed random variables have an approximately normal distribution, regardless of the type of distribution from which the variable is sampled (provided it has finite variance). Mean (average value), median (center), and mode (most frequent observation) are all equal. Moreover, these values ​​all represent the peak or highest point of the distribution.

Standard Deviation:

The standard deviation (or σ) is a measure of the distribution of data from the mean. A low standard deviation means the data is clustered around the mean, and a high standard deviation means the data is more scattered. A standard deviation close to zero indicates that the data points are close to the mean, while a high or low standard deviation indicates that the data points are above or below the mean, respectively.  The top curve is more spread out and therefore has a higher standard deviation, while the bottom curve is more concentrated around the mean and therefore has a lower standard deviation.

Complete Question:

A successful waffle-man has recently developed a new recipe for waffles. To test the popularity of this new waffle compared to two other tried-and-true types of waffles, our friend the waffle-man randomly selected 180 lucky customers to vote on which of the three waffle types they liked best. Exactly 35% of these customers (or 63 in total) voted in favor of the new waffle. If all waffles were equally tasty, then the waffle-man knows to expect that each waffle would receive around 1/3 of the votes (so around 60 votes per waffle).

Are 63 votes for the new waffle enough to conclude that significantly more customers like it compared to the others? Luckily, our friend the waffle-man triple-majored in waffles, statistics, and clinical neurophysiology and knows how to objectively answer this question. He conducts a hypothesis test for proportions,

H0:p=1/3 H0:p=1/3, Ha :p>1/3 Ha: p>1/3

with a sample proportion of 63/180.

In carrying out this test, what null distribution for p^p^ should he use? In other words, what is the distribution of the sample statistic assuming the null hypothesis is true? (Be sure to use at least four decimal places in your calculations.)

Select one:

a)A normal distribution centered at 1/3 with a standard deviation of about 0.0351

b)A normal distribution centered at 1/3 with standard deviation of about 0.0356

c)A normal distribution centered at 0.35 with standard deviation of about 0.0356.

d)A normal distribution centered at 0.35 with standard deviation of about 0.0351.

e)We cannot use a null distribution in this problem because the population is not normally distributed.

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Answer: \(- \frac{62}{5}\)

Convert the decimal number into a fraction

Multiply by 10

\((- \frac{12.40}{1} ) (\frac{10}{10})\)

\(- \frac{124}{10}\)

Divide the fraction by 2

\(- \frac{62}{5}\)

Answer:

1.5 feets by 3.5 feets

Step-by-step explanation:

Scale model = 1/8

Dimension of living room = 12 feets by 28 feets

The dimension of the model using the scale model given :

Scale model * dimension

1/8 * (12 feets by 28feets)

= 1.5 feets by 3.5 feets

Answer:

149.5 = 120.25

Step-by-step explanation:

Given the joint probability density function (PDF) of two continuous random variables X and Y, we need to find their marginal PDFs, determine if X and Y are independent, find the conditional PDF of X given Y = y, and calculate the conditional expectation E(X|Y = y) for a specific range of y.

a) To find the marginal PDF of X, integrate the joint PDF with respect to Y over the entire range of Y: fx(x) = ∫(0 to 1) 6xy dy. Evaluate the integral and simplify to obtain the marginal PDF of X.

b) To find the marginal PDF of Y, integrate the joint PDF with respect to X over the entire range of X: fy(y) = ∫(0 to ∞) 6xy dx. Evaluate the integral and simplify to obtain the marginal PDF of Y.

c) To determine if X and Y are independent, check if the joint PDF can be factored into the product of the marginal PDFs: fx.y(x, y) = fx(x) * fy(y). If they can be factored, X and Y are independent; otherwise, they are dependent.

d) To find the conditional PDF of X given Y = y, use the conditional probability formula: fxy(x|y) = fx.y(x, y) / fy(y). Substitute the joint PDF and the marginal PDF of Y into the formula to obtain the conditional PDF.

e) To calculate the conditional expectation E(X|Y = y), integrate the product of X and the conditional PDF of X given Y = y over the range of X: E(X|Y = y) = ∫(0 to ∞) x * fxy(x|y) dx. Evaluate the integral to find the conditional expectation.

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Main Answer: If ab = 4, then (a – b)3 – 9(a – b) = 0.

Supporting Explanation :Given that ab = 4To prove that (a – b)3 – 9(a – b) = 0.(a – b)3 – 9(a – b) = 0 can be written as (a-b)[(a-b)²-9]=0(a-b)²-9=0(a-b)²=9a-b=3 or a-b=-3as ab=4Let's take a=4 and b=1So, a-b=3(a-b)³-9(a-b)=0So, (3)³-9(3)=0 Therefore, (a – b)³ – 9(a – b) = 0 when a=4 and b=1.

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.

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The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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Answer:

27720

Step-by-step explanation:

multiple all of them 11x14x9x20 = 27720

Answer:

line mo

Step-by-step explanation:

Because the triangle are congrument

RST and MNO are the triangle

RT is a line in the RST triqangle

it is equal to the MO line in MNO

The ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is: b/c = 4b/9c , b/c = 1.125

Jim bought 3 pints of beer and 7 cups of coffee for $14, and the ratio of the price of pints of beer to the price of cups of coffee is 2:3,

To determine the cost of one pint of beer and one cup of coffee, let's solve the system of equations.

                     2b + 3c = 7 (dividing both sides of the equation by 7)

                                    2b/7 + 3c/7 = 1b/3.5 + c/2.333

                  = 1b + 1.5c

                  = 4.666... (dividing both sides of the equation by 3.5)

                              b/3.5 × 4 + c/2.333 × 9

                            = 14b/0.875 + c/0.259

                                       = 14.666...

Therefore, the ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is:

                       b/c = 4b/9c (multiplying both sides by 9c)

                                       b/c = 1.125

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In the given triangle, the measure of side c is approximately 39 m

From the question, we are to calculate the measure of side c in the given triangle.

To determine the measure of side c, we will use SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

In the given diagram,

Angle = 29°

Opposite = 19 m

Hypotenuse = c

Thus

sin (29°) = 19 / c

0.4848 = 19 / c

c = 19 / 0.4848

c = 39.1914

c ≈ 39 m

Hence,

The measure of c is 39 m

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The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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Answer:

she has 23 points

Step-by-step explanation:

hope this helps and mark brainliest please

The answers are given below:-

a)  A ∪ B = {1,2,3,4,6}

b)  A ∩ B = {2}

c) Ac= {1, 3, 5}

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that a number cube with faces labelled 1 to 6 is rolled once. The number rolled will be recorded as the outcome.

A number cube with faces labelled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is even.

Therefore, the set of outcomes for event A is {2, 4, 6}.

Event B

The number rolled is less than 4.

Therefore, the set of outcomes for event B is {1, 2, 3}.

Part (a)

Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {1,2,3,4,6}

Part (b)

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {2}

Part (c)

The complement of event B means everything that is not in B.

Ac = {1, 3, 5}

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Answer: b = 5

Step-by-step explanation:

        The standard form of a quadradic equation is 0 = ax² + bx + c. To do this, we will move all values to one side of the equation.

        Given:

8x + 4 = -2x² + 3x + 1

        Subtract (8x + 4) from both sides of the equation:

0 = -2x² - 5x - 3

        Lastly, we are given that a = 2, so we will divide both sides of the equation by -1.

0 = -2x² - 5x - 3

0 = 2x² + 5x + 3

        We are asked to find the value of b.

0 = ax² + bx + c

0 = 2x² + 5x + 3   ➜   b = 5

Answer:

a) 90

b) 100

Step-by-step explanation:

This is a probability problem. In order to solve it, we must multiply the number of possible numbers by eachother.

a) the first digit can be any number between 0 and 9. That's 10 options. The second digit must be different from the first one: that's 9 options. 10x9=90

b) the first digit can be any number between 0 and 9. That's 10 options. The second digit can also be any number between 0 and 9. That's also 10 options. 10x10=100

Answer:

The situation per week is 30 + 6n

where n is the number of weeks

Range of the function is 18 for the first four weeks of data

Step-by-step explanation:

Here, we are to use an arithmetic sequence for a representation.

The first term here is a which is 30 clients while the common difference of d is 6 new clients per week

So we can write the nth term of the sequence as;

Tn = a + (n-1)d

Tn = 30 + (n-1)6

Tn = 30+ 6n -6

Tn = 24 + 6n

where n is the number of weeks

Now for the second week we shall have a total of a+ d clients = 30 + 6 = 36

For the third we have 24 + 6(3) = 24 + 18 = 42

For the fourth, we have 24 + 6(4) = 24 + 24 = 48

Thus the range mathematically means the difference between the highest and lowest for that four weeks = 48-30 = 18

Answer:

A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week.

Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.

f(x) = 4x + 18; 0 ≤ y ≤ 4

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The area of the sector with theta as π/12 radian and radius as 4 is 2 / 3π.

A sector is a portion of a circle which is enclosed between its two radii and the arc adjoining them.

The sector has the central angle as π/2 radian and a radius of 4 units. Therefore, let's find the area of the sector using the formula as follows:

area of a sector = ∅ / 2 r²

where

Therefore,

∅ = π / 12

r = 4 units

Hence,

area of a sector = π / 12 × 1 / 2 × 4²

area of a sector = π / 4 × 16

area of a sector = 16 / 24 π

area of a sector = 2 / 3π

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Answer:

the moment of inertia of the uniform cylinder is 0.154 kg * m^2.

Step-by-step explanation: