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Answer:

  11 feet

Step-by-step explanation:

You want the length of the longest side of a triangle when the perimeter is 27 feet and the side lengths are consecutive odd integers.

The middle of three consecutive odd integers is their average. The average is their sum divided by 3, so is (27 ft)/3 = 9 ft.

Then the side lengths are 7 ft, 9 ft, 11 ft.

The longest side is 11 feet long.

__

Additional comment

The perimeter is the sum of the side lengths.

Yes, they can use the walkie-talkies to talk to each other.

The distance between them is given as 28.2 meters.

The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.

This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.

Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.

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Answer:

5

Step-by-step explanation:

the length is 5 because each side with equal to 5

5+5+5+5=20

Answer: x=2

Step-by-step explanation:

1/2(40x-16)=32

20x - 8 = 32

Add 8 on both sides

20x = 40

Divided both sides by 20

x = 2

Answer:Andrew tarda 19 minutos en ducharse y desayunar

Explicación paso a paso:

720 seg de ducharse + 420 segundos de su desayuno dan igual a 1140 segudnos

a este numero de segundos hay que pasarlo a minutos. El resultado es 19 minutos que son 1140 segundos

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

you just add 5 10 times

Answer:

(x-3) (x-2)

Step-by-step explanation:

\(x^{2}\) - 5x + 6

How to break down the equation and factorise it:

-3 x -2 = 6

-3 + -2 = -5

Final Answer:

(x-3) (x-2)

Step-by-step explanation:

a square plus b squad plus c

Performing a chi-square test of independence, would be most helpful for analyzing this study.

To test whether the amount of money spent on a campaign is related to whether a political candidate wins an election, a chi-square test of independence would be the most helpful statistical test to analyze the study.

The chi-square test of independence is used to determine whether there is a significant association between two categorical variables. In this case, the categorical variables are whether the candidate won or lost the election, and the amount of money spent on the campaign (e.g., low, medium, high).

The chi-square test of independence compares the observed frequencies of the data with the expected frequencies, assuming there is no association between the variables. If there is a significant difference between the observed and expected frequencies, it suggests that there is a significant association between the variables.

Therefore, by performing a chi-square test of independence, we can determine whether there is a significant relationship between the amount of money spent on a campaign and whether a political candidate wins an election.

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APR include: Interest on the loan

What does APR mean?

The APR which means annual percentage rate, is the interest rate on the loan, it is expressed in annual terms which is normally compounded monthly, by monthly compounding I mean the interest is computed on monthly basis.

APR has does not have anything to do with the principle and term of the loan since the principle is the loan amount and the term is the number of periods that the borrower is allowed to make repayments until the loan is fully repaid

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The distance between the two points (4, 1) and (9, 9) is sqrt(89), which is approximately 9.43 units.

To find the distance between the two points (4, 1) and (9, 9), we can use the distance formula.

The distance formula is:
d = sqrt((x2 - x1)² + (y2 - y1)²)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using this formula, we can substitute the values we have:
d = √((9 - 4)² + (9 - 1)²)

Simplifying this equation, we get:
d = √(5² + 8²)
d = √(25 + 64)
d = √(89)

So, the distance between the two points (4, 1) and (9, 9) is sqrt(89), which is approximately 9.43 units.

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Answer:

Its 23

Step-by-step explanation:

7 – 5p + 3q

                 = 7 – 5(1) + 3(7)

                = 7 – 5 + 21

                = 28 – 5

               = 23

Answer:

9

Step-by-step explanation:

Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random. Then, the probability that less than 3 items will be defective is 0.8159.

Probability:

In science, the probability of an event is a number that expresses the probability that the event will occur. Expressed as a number between 0 and 1 or as a percent sign between 0% and 100%. The more likely an event is to occur, the greater its probability. Impossible events have a probability of 0; some events have a value of 1.

According to the Question:

Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random,

Given that:

Binomial Problems with n = 15 and

p(defective) = 0.1 ;

p(not defective) = 0.9

a. The probability that exactly 3 items will be defective:

P(x = 3) = 15C3(0.10³× (0.9)¹²

            = binompdf (15,0.1,3)

            = 0.1285

b. The probability that less than 3 items will be defective:

P(0< x < 2) = binomcdf (15,0.1,2)

                    = 0.8159

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Answer:

\(m=27\)

Step-by-step explanation:

When something is directly proportional, it means that: \(a=kb\), where \(k\) is some constant (number).

We are given that \(m\) is directly proportional to \(n^2\), and \(m=75\) when \(n=5\).

So, we have...

\(a=kb\)

\(m=kn^2\)

\(75=k(5)^2\)

\(75=25k\)

\(k=3\)

So the full equation is:

\(m=3n^2\)

Now, to find the answer when \(n=3\), simply put 3 into the equation.

Which gives:

\(m=3(3)^2\)                     \(m=9(3)\)             \(m=27\)

Final answer: m=27.

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▹ Answer

12/35

▹ Step-by-Step Explanation

\(\frac{4}{5} * \frac{3}{7} \\\\= \frac{12}{35}\)

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

12/35

Step-by-step explanation:

4/5 * 3/7 = (4 * 3)/(5 * 7) = 12/35

In a similar polygon, corresponding sides are proportional. Therefore, the proportion that must be true when polygon ABCD is similar to polygon PQRS is d. CD:AB = PQ:RS.

This means that the ratio of the length of side CD to the length of side AB in polygon ABCD should be equal to the ratio of the length of side PQ to the length of side RS in polygon PQRS. It is important to note that the order of the sides matters in the proportion.

In this case, CD corresponds to PQ, and AB corresponds to RS. By setting up this proportion, we can compare the lengths of corresponding sides in similar polygons and establish the relationship between them.

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Answer:

The correct answer is Option D: [-9 -8] [7 3]

Step-by-step explanation:

Given that

D = [18 16][-14 -6]

We have to find -0.5D

In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.

So,

\(-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3]\)

Hence,

The correct answer is Option D: [-9 -8] [7 3]

We are given that the inside diameter of a piston ring is a random variable with mean value 10 cm and standard deviation 0.07 cm.

We are asked to find the sampling distribution of the sample mean diameter for two different random samples of n=16 and n=64 piston rings, respectively, and to calculate the standard deviation of each sampling distribution.

The sampling distribution of the sample mean diameter is the distribution of all possible sample means that could be obtained from a given sample size n.

The central limit theorem tells us that for large enough sample sizes (typically n ≥ 30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the underlying population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, and the standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

For the first random sample of n=16 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, as this is the population mean.

However, the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 16, which is 0.0175 cm. Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the first random sample is 0.0175 cm.

For the second random sample of n=64 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, but the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 64, which is 0.00875 cm.

Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the second random sample is 0.00875 cm.

Finally, we are asked which of the two random samples is more likely to have a sample mean diameter within 0.01 cm of 10 cm. Since the standard deviation of the sampling distribution of the sample mean decreases as the sample size increases, the second random sample of n=64 piston rings is more likely to have a sample mean diameter within 0.01 cm of 10 cm.

This is because the decreased variability of the sampling distribution means that the sample means are more tightly clustered around the population mean of 10 cm. Therefore, we can conclude that the second random sample is more precise than the first random sample.

In statistics, a random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample.

Random sampling is a crucial tool for drawing conclusions about a population based on a smaller subset of data. In this problem, we will explore the sampling distribution of the sample mean for two different random samples of piston rings.

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Mariann would have to pay approximately $103,862.78 as compound interest if she borrows $54,000 for 9 years at a 12% per annum compound interest rate.

To calculate the compound interest, we can use the formula A = P\((1 + r/n)^{nt}\), where A is the future value of the loan, P is the principal amount borrowed, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, Mariann borrowed $54,000 at an annual interest rate of 12% and the interest is compounded annually. Plugging the values into the formula, we have A = 54000(1 + 0.12/1)^(1*9).

Simplifying the equation, we have A = 54000(1.12)^9. Evaluating this, we find that A ≈ $103,862.78. This means that Mariann would have to pay approximately $103,862.78 in total, including the initial principal of $54,000 and the compound interest, after 9 years.

Therefore, the compound interest that Mariann would have to pay is approximately $103,862.78 - $54,000 = $49,862.78. This amount represents the additional cost incurred due to the compounding of interest over the 9-year period.

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Given -

To Find -

Type of Triangle =?

Step-by-Step Explanation -

As we can see we have an obtuse angle in the triangle and also, the two sides are equal.

So,

It is an Obtuse angle triangle.

It is also an isosceles triangle

Final Answer -

B. Obtuse

E. Isoseceles

Answer:

Yes, when you divide 249 by 3 you get a rational number  meaning that 249 is divisible by 3.

Step-by-step explanation:

Correct option are C,D, E. g(x) > h(x) for x = -1, For positive values of x, g(x) > h(x), For negative values of x, g(x) > h(x).

A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

They have the same value if x=0.

The first and second choices are not viable

for x=-1

g(-1)=1

h(-1)=-1

3. is accurate

4th , false G(x)>H for all values other than zero (x)

the proper ones are

For x=-1, g(x) exceeds h(x).

G(x) > h for positive values of x. (x).

G(x) > h for negative values of x (x).

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Answer:

22

Step-by-step explanation:

(4 x 4) + (3 x 2) = 16 + 6 = 22

Answer:

14.8

Step-by-step explanation:

3 * 4 + 2.8 =

Your answer would be 0.14 to the nearest hundredth.

The question P(Walk to school | Senior) is asking for the probability that a student walks to school given that they're a senior. Therefore we have to count how many total senior students there are, which is 35.

To form the probability, we then need to see how many of these 35 students walk to school, which we're given as 5. Thus, the probability is 5/35 which simplifies to 1/7.

1/7 as a decimal is 0.1429, which, when rounded to the nearest hundredth, gives us 0.14.

I hope this helps! Let me know if you have any questions :)