Jose is watering his square lawn that measures 25 feet on each side. He places the sprinkler at the center of the lawn to water a circular area with a diameter measuring the length of the lawn.

How much of the lawn is not being watered? Use 3.14 for .

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

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Step-by-step explanation:

6

5

x−1>1

3

1

6

5

x−1>

3

4

6

5

x>

3

4

+1

6

5

x>

3

4

+

3

3

6

5

x>

3

7

x>

3

7

∗

5

6

x>

5

7∗2

x>

5

14

x>2

5

4

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = \(\frac{n!}{(n-r)!r!}\)

Consider the total combination C (14, 5),

\(C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002\)              

Consider the combination of men C (7, 5) ,

\(C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21\)

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

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Cosine distance is used in the k-means clustering algorithm to remove outliers. It is a metric used to determine the similarity between two documents. In k-means clustering, cosine distance is used to calculate the distance between data points.

Cosine distance is used to normalize the data so that it is not affected by the length of the data vectors or the scale of the data. The cosine distance is calculated as follows:

Cosine distance = 1 - Cosine similarity,

where Cosine similarity = dot product of two vectors/ product of the magnitude of two vectors.

To remove the outliers from the k-means clustering algorithm, we can set a threshold value for the cosine distance. If the cosine distance between two data points is greater than the threshold value, then those data points are considered outliers and they are not included in the cluster. This helps to ensure that the clustering algorithm only groups together data points that are similar and ignores the outliers.

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Answer: I thinks its F...

Step-by-step explanation:

The required return of the preferred stock of Metreora, Inc. is 5.78%.

Metreora Inc. has a favored stock that is remarkable and delivers a profit of $5.35 consistently in ceaselessness. The inquiry is trying to figure out the necessary return of the favored load of the organization which is presently selling at $93 per share.

The following is the formula for determining the required return: A $5.35 dividend is paid out on Metreora, Inc.'s preferred stock. $$Required Return = Dividend Text Price The preferred stock currently costs $93 per share. As a result, the following formula can be used to determine the preferred stock's required return: $$\text{Required Return} = \frac{5.35}{93} \approx 0.0578$$

This esteem should be switched over completely to a rate esteem by duplicating by 100. This indicates that Metreora, Inc.'s preferred stock must return approximately 5.78 percent. Consequently, the necessary return of the favored supply of Metreora, Inc. is 5.78%.

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The probability of event C is 0.2.

The formula for calculating the probability of an event is P(A) = n(A) / n(S).

In this case, the probability of event C is P(C) = n(C) / n(S). Since the sample space is S={a, b, c, d}, the total number of elements in the sample space is 4.

Since we already know the probability of a, b, and d, we can calculate the probability of c by subtracting the known probabilities from 1.

P(C) = 1 - P(A) - P(B) - P(D)

P(C) = 1 - 0.2 - 0.2 - 0.2

P(C) = 0.2

Therefore, the probability of event C is 0.2.

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The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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Aaron has to read 41 pages on the 6th day to reach his goal.

What is the speed of reading?

Any of the many methods that promise to increase one's reading speed include speed reading. Chunking is one speed-reading technique, as is reducing subvocalization. The many available speed-reading training programs may utilize books, videos, software, and seminars.

We have,

26 pages per day for 6 days:

26×6=156,

So Aaron should read 156 pages by the 6th day to reach his goal,

During the first 5 days, he reads 23 pages per day then,

23 × 5 = 115

That’s how many pages he’s already read.

156-115=41

Hence, Aaron has to read 41 pages on the 6th day to reach his goal.

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The maximal flow from node 1 to node 7 in the given network needs to be determined, along with identifying the associated minimal cut. Additionally, the associated linear-programming problem needs to be written.

To find the maximal flow from node 1 to node 7, various algorithms like the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm can be used. These algorithms iteratively find augmenting paths and update the flow until no more augmenting paths exist. The maximal flow represents the maximum amount of flow that can be sent from the source (node 1) to the sink (node 7).

The associated minimal cut can be found by identifying the set of edges whose removal would disconnect the source from the sink. The minimal cut represents the minimum capacity required to disconnect the source and sink nodes.

To write the associated linear-programming problem, we need to define decision variables, objective function, and constraints that represent the flow network. The objective function is typically to maximize the flow from the source to the sink, subject to capacity constraints on the edges and flow conservation constraints at each node.

Detailed calculations and graph analysis would be required to find the specific maximal flow, associated minimal cut, and formulate the linear programming problem for the given network.

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

(5,7)



x = 5

y = 7

Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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Answer:

The cost of apple juice per ounce is 20 cents.

Step-by-step explanation:

We know that a  

16

ounce bottle is  

$

3.20

and we want to find how much per ounce is.

So we set up a proportion and let  

x

be the cost of one ounce:

16

3.20

=

1

x

Now we can cross multiply:

16

x

=

3.20

Divide both sides by  

16

:

16

x

16

=

3.20

16

Therefore,

x

=

0.20

The cost of apple juice per ounce is 20 cents.

Hope this helped!! Stay safe

Answer:

$0.2

Step-by-step explanation:

Cost of 16 ounce of apple juice = $3.20

Cost of the apple juice per ounce:

Given:

1.75 cups per batch

That is

\(\frac{1.75}{1.75}\) Cups per \(\frac{1}{1.75}\) batch = 1 cup per \(\frac{1}{1.75}\) batch

Therefore, 5.25 cups will make

\(5.25 *\frac{1}{1.75}\) Batches = \(\frac{5.25}{1.75}\) = 3 Batches

ANSWER being: 3 batches

Step-by-step explanation:

first, for such questions, we sound always sorry the list of data points :

9, 10, 12, 15, 17

the mean is the sum of all data points divided by the number of data points. we have 5 data points.

mean = (9+10+12+15+17)/5 = 63/5 = 12.6

median is the data point for which half of the other data points are smaller, and the other half of other data points are larger.

so, for our 5 days points,

median = 12

the middle element in our sorted list.

mode simple defines the data value that appears the most frequently in the list.

in our case all values appear exactly once.

some people say then that the mode is all numbers in the list.

but most commonly we say that this list has no mode.

Let's say we have a graph with four nodes: A, B, C, and D. The edges and their lengths are as follows:
- A to B: 3
- A to C: 1
- B to D: 2
- C to D: -5

Using this we can show that the Dijkstra's algorithm fails if negative edge lengths are allowed

If we use Dijkstra's algorithm to find the shortest path from A to D, we would start at A and initially assign a distance of 0 to it. We would then look at its neighbors, B and C, and update their distances accordingly (3 for B and 1 for C). We would then choose C as the next node to visit since it has the shortest distance so far. However, when we update the distance to D through C, we would get a distance of -4 (since -5 + 1 = -4).

This negative distance causes a problem because Dijkstra's algorithm assumes that all edge weights are non-negative. When we update the distance to D through C, it becomes shorter than the distance we assigned to it when we initially looked at it through B. This means that we would have to revisit D and potentially update its distance again, leading to an infinite loop.

Therefore, Dijkstra's algorithm fails if negative edge lengths are allowed.

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Answer:

2.739... cm

Step-by-step explanation:

The formula for finding diameter from area is

d = 2√(a/pi)

Replace the a with 6, and the answer becomes

2.739

The Laplace transform of\(`10e^(-3t) cos(4t + 53.13°)` is:10s / ((s + 3)^2 + 16) . (s / (s^2 + 16))\)

Using MATLAB to find the Laplace transform of\(`10e^(-3t) cos(4t + 53.13°)`\) can be done in the following steps:

Step 1: Identify the Laplace transform of `cos(4t + 53.13°)`

We know that:

Laplace transform of\(cos(at) = s / (s^2 + a^2)\)

Therefore, Laplace transform of `cos(4t + 53.13°)` can be found as:

\(L(cos(4t + 53.13°)) = L(cos(4t)) = s / (s^2 + 4^2) = s / (s^2 + 16)\)

Step 2: Find the Laplace transform of \(`10e^(-3t) cos(4t + 53.13°)`\)

Using the property of Laplace transform that: L(a.f(t)) = a.L(f(t))

Therefore:\(L(10e^(-3t) cos(4t + 53.13°)) = 10.L(e^(-3t)) . L(cos(4t + 53.13°)) = 10.(s + 3) / ((s + 3)^2 + 16) . (s / (s^2 + 16))\)

Simplifying further, we get:\(L(10e^(-3t) cos(4t + 53.13°)) = 10s / ((s + 3)^2 + 16) . (s / (s^2 + 16))\)

Therefore, the Laplace transform of\(`10e^(-3t) cos(4t + 53.13°)` is:10s / ((s + 3)^2 + 16) . (s / (s^2 + 16))\)

This is the required solution.

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Answer:

3,896 have signed up from other countries

Step-by-step explanation:

In this problem we are required to calculate the number of signups from other countries.

well, since we know the total sign ups to be 3,922

And also we know that 26 out of the total signed up from the USA

This means that the sign ups from other countries will be

3,922-26=3,896

Answer:

Step-by-step explanation:

-11

Answer

Equation Simplified = 35 +0.05 x 35 = 36.75

Step by step

5% = 0.05

35 in this equation represents the principle

0.05 represents the rate

35 + 0.05 x 35 = 36.75

Simplified Equation: 35 +0.05 x 35

Price After Markup = 36.75

Answer:

The answer is would be 1.2 or 1.22

Answer:

3/4 cup quick cooking oats

Step-by-step explanation:

1.  1 1/2 dozen or 18 cookies divided by 2 = 9 cookies

2. there is 1 1/2 cup of quick oats

3. since to get 9 cookies you need to divide 1 1/2 dozen cookies by 2

you need to do that (divide by 2) to the whole recipe.

4. so basically what is 1 1/2 cup quick oats divided by 2

5. the answer is 3/4 cup quick cooking oats

The equation of total time taken by the commuter in travelling is 14x + 11, thus the correct option (b).

An algebraic equation can be defined as a mathematical statement in which two expressions are equivalent. Algebraic equations usually consist of variables, coefficients and constants .

Algebraic equations are also called polynomials because they contain polynomials on both sides of the equality sign. Algebraic equations consist of variables, coefficients, constants, and algebraic operations such as addition, subtraction, multiplication, division, and exponentiation.

According to the question:

(4x + 13) + (10x - 2) = 4x + 10x + 13 - 2

                               = 14x + 11

Thus, the equation for the total time taken is 14x + 11.

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Answer:

brain

Step-by-step explanation:

brain to the fullest

Answer: I think it's B!

Step-by-step explanation: If I am wong I truly apoligize!

Answer:

Im pretty sure its D

Step-by-step explanation:

I took the quiz on EDGE 2022