The apothem of a circle is 10.5 cm. Find the area.

Answer:

Answer D

Step-by-step explanation:

Solve for b:

\(\frac{1}{2}b \geq 4\)

Divide both sides by a half

\(b\geq 8\)

We see that its a greater than or equal too sign, which means the number line has to be facing to the right with a closed circle. Therefore, D is our answer.

The sum of the multiples of 9 till 81 is 405 by arithmetic progression.

We have to sum the multiples of 9 up to 81

= 9 + 18 + … +  45  + …+ 72 + 81

We will use arithmetic progression for this.

we get that:

initial term = a = 9

Common difference = d = 9

n = 9

Sum of terms = n / 2 ( 2 a + ( n - 1) d )

Sum = 9 / 2 (2( 9) + 8 ( 9))

sum = 9 / 2 (18 + 72)

Sum = 9 / 2 ( 90)

Sum = 810 / 2

Sum = 405

Therefore, we get that, the sum of the multiples of 9 till 81 is 405 by arithmetic progression.

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Answer:5

Step-by-step explanation:

30 chapters in 6 hours. 30/6 =5

Answer:

what u wanna do  we could zoom

Step-by-step explanation:

Answer:

9 + x + x + 2 = 29

Step-by-step explanation:

all of the sides added together is 29

so

9 + x + x + 2 = 29

that is your equation

Answer:

£30

Step-by-step explanation:

Krutika should get £30 of it

Answer:

Thanks :)

Step-by-step explanation:

The height of the bar corresponding to this bin will indicate the number of students who drank the recommended amount of water (48 or more ounces).

To use a histogram to easily display the number of students who drank the recommended amount of water (48 or more ounces), you would follow these steps:

1. Collect Data: Gather information about the amount of water consumed by each student. This data should include the number of ounces consumed by each student.

2. Group Data: Group the data into intervals or bins. In this case, you can create intervals that represent different ranges of water consumption. For example, one bin can represent 48-59 ounces, another bin can represent 60-71 ounces, and so on.

3. Count Frequencies: Count the number of students falling into each interval. This will determine how many students drank within each specified range of water consumption.

4. Create Histogram: Plot the intervals on the x-axis (representing the ranges of water consumption) and the corresponding frequencies on the y-axis (representing the number of students). Each interval will have a bar, and the height of the bar will correspond to the frequency or number of students in that range.

In this case, you would specifically focus on the bin that represents 48 or more ounces. The height of the bar corresponding to this bin will indicate the number of students who drank the recommended amount of water (48 or more ounces).

By visualizing the data in a histogram, you can easily observe the distribution of water consumption among the students and identify how many of them met the recommended amount of 48 or more ounces. This graphical representation allows for a quick understanding of the distribution and the number of students within the desired range.

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The probability that:

(a) I have a sundae is 1/3

(b) I have a banana split is 2/9

(c) I have both a sundae and a banana split is 1/9

(d) I have no dessert is 2/3.

The given conditions are:

If either shows a 6, then I will have a sundae.

If the sum of the dice is either 7 or 11, then I will have a banana split.

If both occur, I will have two desserts.

Otherwise, I'll have no dessert at all.

(a) Probability of getting a sundae:

There are 6 faces on each dice, and the probability of getting 6 on a single dice is 1/6. As we are rolling two dice, the probability of getting 6 on either of the dice is (1/6 + 1/6) = 2/6 = 1/3.

Therefore, the probability of getting a sundae is 1/3.

(b) Probability of getting a banana split:

The dice will show a sum of 7 in six different ways: {1, 6}, {2, 5}, {3, 4}, {4, 3}, {5, 2}, {6, 1}.

The dice will show a sum of 11 in two different ways: {5, 6}, {6, 5}.

Therefore, there are 8 outcomes out of 36, so the probability of getting a banana split is 8/36 or 2/9.

(c) Probability of getting both a sundae and a banana split:

The only way to get both is to roll a 6 and have the sum be either 7 or 11.

There are 2 ways to get a sum of 7 and a 6: {1, 6} and {6, 1}.

There are 2 ways to get a sum of 11 and a 6: {5, 6} and {6, 5}.

Therefore, the probability of getting both is 4/36 or 1/9.

(d) Probability of getting no dessert:

The only way to get no dessert is if neither a 6 is rolled nor the sum is 7 or 11.

There are 4 ways to roll a 6 and have the sum be 7 or 11: {1, 6}, {2, 5}, {5, 2}, and {6, 1}.

There are 20 ways to roll two dice without getting a 6 or a sum of 7 or 11.

Therefore, the probability of getting no dessert is 24/36 or 2/3.

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After simplifying, both (fog)(x) and (gof)(x) yield the same expression: 4x² + 39x + 15.

To find (fog)(x), we substitute g(x) into f(x) and simplify:

(fog)(x) = f(g(x)) = f(4x² + 5x) = 3(4x² + 5x) + 3 = 12x² + 15x + 3.

To find (gof)(x), we substitute f(x) into g(x) and simplify:

(gof)(x) = g(f(x)) = g(3x + 3) = 4(3x + 3)² + 5(3x + 3) = 4(9x² + 18x + 9) + 15x + 15 = 36x² + 72x + 36 + 15x + 15 = 36x² + 87x + 51.

Upon simplification, we see that (fog)(x) = (gof)(x) = 4x² + 39x + 15. This result implies that the compositions of f and g are equivalent, regardless of the order in which they are applied.

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Answer:

Greatest:8 2/5  

least:3/26

Step-by-step explanation :Hope im right:)But if im wrong try listening to your teacher you might understand if you do that:)

To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

  g = -16

Step-by-step explanation:

This is a "one-step" linear equation. To solve it, we need to have the coefficient of g be 1, not 3/4.

Since we know how to multiply fractions, we know that ...

  (3/4)(4/3) = (3·4)/(4·3) = 12/12 = 1

That is, we can multiply both sides of the equation by 4/3 and that will give us a coefficient of 1 for g.

 (4/3)(3/4)g = (4/3)(-12)

  g = (4·(-12))/3 = -48/3 = -16

The solution is g = -16.

_____

The number 4/3 is the reciprocal of 3/4. It is found by swapping the numerator and denominator.

Answer:

n the text mining process, the text is first preprocessed by deriving a smaller set of features from the larger set of words contained in a collection of documents.

Step-by-step explanation:

In the text mining process, one of the crucial ways is preprocessing the text data. This involves transforming the raw text into a more manageable and meaningful representation. One common technique in text preprocessing is to derive a smaller set of features from the larger set of words present in a collection of documents.

These features, often referred to as "tokens" or "terms," represent the distinct units of meaning in the text. The process typically includes steps such as tokenization, where the text is divided into individual words or n-grams, and then removing stop words, which are commonly occurring words that do not carry significant meaning.

Additionally, techniques like stemming or lemmatization may be applied to reduce words to their base or root forms. By deriving a smaller set of features, the preprocessing helps to simplify the text data, eliminate noise, and facilitate subsequent analysis tasks such as document clustering, topic modeling, sentiment analysis, or text classification.

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Answer:

T is 3 because you could of asked google

Answer:

t = 3

Step-by-step explanation:

39-24=t+4t

15 = 5t

5t = 15

t = 15 divided by 5

t = 3

hope this helps!

pls marks as brainliest!!

The average velocities for the given time periods has been calculated and the instantaneous velocity when t = 2 is -24 ft/s.

To find the average velocity for the given time periods, we need to calculate the change in position divided by the change in time. The formula for average velocity is:

Average Velocity = (Δy) / (Δt)

For the time period of 0.5 seconds:

Substituting t = 2 and t = 2.5 into the equation \(y = 40t - 16t^{2}\), we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\)

\(y2 = 40(2.5) - 16(2.5^2) = 100 - 100 = 0 ft\)

Δy = y2 - y1 = 0 - 16 = -16 ft

Δt = 0.5 seconds

Average Velocity = (Δy) / (Δt) = (-16 ft) / (0.5 s) = -32 ft/s

For the time period of 0.1 seconds:

Substituting t = 2 and t = 2.1, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.1) - 16(2.1^{2}) = 84 - 72.24 = 11.76 ft\)

Δy = y2 - y1 = 11.76 - 16 = -4.24 ft

Δt = 0.1 seconds

Average Velocity = (Δy) / (Δt) = (-4.24 ft) / (0.1 s) = -42.4 ft/s

For the time period of 0.05 seconds:

Substituting t = 2 and t = 2.05, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.05) - 16(2.05^{2}) = 81 - 68.56 = 12.44 ft\)

Δy = y2 - y1 = 12.44 - 16 = -3.56 ft

Δt = 0.05 seconds

Average Velocity = (Δy) / (Δt) = (-3.56 ft) / (0.05 s) = -71.2 ft/s

For the time period of 0.01 seconds:

Substituting t = 2 and t = 2.01, we have:

\(y1 = 40(2) - 16(2^2) = 80 - 64 = 16 ft\\ y2 = 40(2.01) - 16(2.01^2) = 80.4 - 64.3216 = 16.0784 ft\)

Δy = y2 - y1 = 16.0784 - 16 = 0.0784 ft

Δt = 0.01 seconds

Average Velocity = (Δy) / (Δt) = (0.0784 ft) / (0.01 s) = 7.84 ft/s

To find the instantaneous velocity when t = 2, we need to calculate the derivative of the position function y(t) with respect to t.

Taking the derivative of \(y = 40t - 16t^{2}\) gives us the velocity function v(t):

\($v(t) = \frac{{d}}{{dt}} (40t - 16t^2) = 40 - 32t$\)

Substituting t = 2 into v(t), we have:

v(2) = 40 - 32(2) = 40 - 64 = -24 ft/s

Therefore, the instantaneous velocity when t = 2 is -24 ft/s.

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Answer: BC = 54  <kjm=44

Step-by-step explanation:

1st 0ne-

if you look at it as 2 triangles with D being the shared side- I can determine that the angles are congruent (by SSA theorem)

so

6x=9x-27  (by corresponding parts of congruent Theorem)

-3x=-27

x=9

BC- 9(9)-27= 81-27=54

2nd one-

J bisects KJM

4x+6=3x+10

x=4

3(4)+10= 22

4(4)+6= 22

KJM= 22+22= 44

Answer:

Step-by-step explanation:

BD is the perpendicular disector of isosceles triangle DAC

AB=BC

6x=9x-27

3x=27

x=9

BC=9x-27=54

For triangle JKL and JML,

KL=ML

JL=JL

JK=JM from properties of right-angled triangle

So triangle JKL and JML are congruent

<KJL = <MJL

4x+6=3x+10

x=4

<KJL=4*4+6=22

Answer:

b hpárrafo sobre mi casa

benglesio no seinew

Step-by-step explanation:

Answer:

206.25

Step-by-step explanation:

65%x125=81.25

125+81.25

The amount paid by the customer for the lamp if A furniture store purchases a lamp for $125, The store needs a 65% markup on cost, is $206.25.

The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given:

A furniture store purchases a lamp for $125, The store needs a 65% markup on cost,

Calculate the amount paid by the customer as shown below,

The amount paid by the customer = 125 + 65% of 125

The amount paid by the customer = 125 + 65 / 100 × 125

The amount paid by the customer = 125 + 0.65 × 125

The amount paid by the customer = 125 + 81.25

The amount paid by the customer = 206.25

Thus, the amount paid by the customer is $206.25.

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The probability of 9 dentists in a sample of 10 recommending Colgate toothpaste is approximately 0.315 or 31.5%.

To calculate the probability of exactly 9 dentists recommending Colgate toothpaste out of a sample of 10 dentists, we can use the binomial probability formula. This formula calculates the probability of getting exactly k successes in n trials, given a probability p of success on each trial. In this case, k = 9, n = 10, and p = 0.95 (since 95% of dentists recommend Colgate).
The formula is:
P(k successes) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items. In this case, (10 choose 9) = 10, since there are 10 ways to choose 1 dentist out of 10 to not recommend Colgate.
Plugging in the numbers, we get:
P(9 dentists recommend Colgate) = (10 choose 9) * 0.95^9 * 0.05^1
= 10 * 0.629 * 0.05
= 0.315
Therefore, the probability of exactly 9 dentists in a sample of 10 recommending Colgate toothpaste is approximately 0.315 or 31.5%.

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Answer:

B. (3,-1)

Step-by-step explanation:

Well we have to find the ordered pair that is in the blue.

So let’s look at all the choices.

A. (-4,2) this is on the point where both lines connect but it is not a solution.

B. (3,-1) this is in the blue so it is correct.

C. (-3,4) it is in the white so it is not correct.

D. (-2,-1) This is completely out of the blue so it it wrong.

So B. (3,-1) is the correct answer.

The average adult weight of miniature Maltese puppies sold by this breeder exceeds 5 pounds. The null hypothesis is that the mean weight of the Maltese puppies is at most 5 pounds. The alternative hypothesis is that the mean weight of the Maltese puppies is higher than 5 pounds.

Bridget is trying to check whether the claim of the dog breeder, who asserts that the mean adult weight of the miniature Maltese puppies they sell is at most 5 pounds, is valid. Bridget uses a hypothesis test to validate or reject the dog breeder's assertion. In this case, the null hypothesis is that the mean weight of the Maltese puppies is at most 5 pounds.

The alternative hypothesis is that the mean weight of the Maltese puppies is higher than 5 pounds. If the hypothesis test results lead Bridget to reject the null hypothesis, she will conclude that the breeder's claim is invalid. This implies that the average adult weight of miniature Maltese puppies sold by this breeder exceeds 5 pounds.

In hypothesis testing, the null hypothesis (H0) is the hypothesis being tested, while the alternative hypothesis (Ha) is the one the test attempts to support. The goal of hypothesis testing is to determine whether or not the null hypothesis is valid by examining the sample data.

Bridget performs a hypothesis test to determine whether the mean weight of miniature Maltese puppies sold by a breeder is equal to or greater than 5 pounds. In this case, the null hypothesis is that the mean weight of the Maltese puppies is at most 5 pounds. The alternative hypothesis is that the mean weight of the Maltese puppies is higher than 5 pounds.

If Bridget rejects the null hypothesis based on her hypothesis test, it will imply that the breeder's claim is invalid. She concludes that the average adult weight of miniature Maltese puppies sold by this breeder exceeds 5 pounds. This conclusion will be valid if Bridget's hypothesis test is conducted correctly. If the evidence in the hypothesis test leads Bridget to reject the null hypothesis, she will conclude that the breeder's claim is invalid.

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Answer:

A. 8.9 in.

Step-by-step explanation:

a) 8.9

Triangle is half of a square, so a square has double the area of the triangle.

40 x 2 = 80

Area is the square root of 80.

Square root of 80 = about 8.9

x = 8.9

Answer: a) 8.9 in.

Step-by-step explanation:

From the given picture it can be seen that the area of the triangle A = 40 sq. in.

The height of triangle = base of the triangle =x

We know that the area of triangle is given by :-

Hence, the value of x = 8.9 in.

Using angle sum property

\(\\ \sf\longmapsto x+90+30=180\)

\(\\ \sf\longmapsto x+120=180\)

\(\\ \sf\longmapsto x=180-120\)

\(\\ \sf\longmapsto x=60\)