If the two legs of a right triangle are 15 m and 8 m then find the hypotenuse. A) 17 m B 15 m C 23 m D 30 m​

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.

Answer:

He score -12 for the 6 holes

Step-by-step explanation:

6 * -2 = -12

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Answer:

Step-by-step explanation:

From the given information:

The ratio of the limiting floor area to lot area is 0.60 to 1

i.e.

= 0.60 : 1

For instance, let's take that the remodel size as p sq.ft on 1140 sq.ft

Then, the ratio = \(\dfrac{p}{11400}\)

The proportion of these equations is as follows:

\(\dfrac{p}{11400} = \dfrac{0.60}{1}\)

\(p \times 1 = 11400 \times 0.60\)

\(p = 11400 \times \dfrac{60}{100}\)

\(p =\dfrac{ 11400 \times 60}{100}\)

\(p =\dfrac{ 114 \times 100 \times 60}{100}\)

\(p = 114 \times 60\)

p = 6840 sq ft

Thus, the maximum allowable size of a remodeled house is 6840 sq.ft

b.

Recall that, the size of the home remodeled by limiting floor to lot area is

0.60:1

Then the proportion equation form is as follows:

\(\dfrac{0.60}{1}= \dfrac{5040}{x}\)

By cross multiplying

\(0.60 \times x = 5040 \times 1\)

\(x = \dfrac{5040 \times 1}{0.60 }\)

\(x = \dfrac{5040 \times 100}{60 }\)

\(x = \dfrac{84 \times 60 \times 100}{60 }\)

\(x =84 \times 100\)

x = 8400 sq.ft

Hence, the size of lot area is 8,400 sq.ft

Answer:

-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward

Step-by-step explanation:

A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:

g(x) = -f(x) = -2x

g(x) = -2x

If a function is reflected along the y axis, the new reflected equation g(x) is given by:

g(x) = f(-x) = 2(-x)

g(x) = -2x

Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:

g(x) + 1 = -2x + 1

If the reflected function is shifted 1 unit downward, the function becomes:

g(x) - 1 = -2x - 1

Answer:

The answer is C.

Step-by-step explanation:

did the test

The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

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Los números irracionales son aquellos números que no pueden expresarse como una fracción o una razón exacta de dos enteros. Por lo tanto, no es posible formar un conjunto completo de números irracionales utilizando un número finito de dígitos.

Los números irracionales son aquellos que no se pueden expresar como una fracción exacta. Estos números son infinitos y no periódicos en su representación decimal. Ejemplos comunes de números irracionales son π (pi) y √2 (raíz cuadrada de 2).

Para justificar que existen infinitos números irracionales, podemos utilizar una prueba por contradicción. Supongamos que existe un conjunto finito de números irracionales, es decir, que podemos listar todos los números irracionales posibles.

Tomemos el número más grande de esta lista y añadámosle 1. Este nuevo número no estaría en la lista original, pero seguiría siendo irracional.

Por lo tanto, hemos encontrado un número irracional adicional que no estaba en la lista original, lo que contradice nuestra suposición de que la lista era completa. Esto demuestra que no puede existir un conjunto finito de números irracionales y que, por lo tanto, existen infinitos números irracionales.

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The intersect method involves spliting an equation to a system of equations

The solutions to the equation are (-1, 3) and (3,-5)

The equation is given as:

-2x + 1 = -x^2 + 4

Using the intersect method, we have the following equations

y = -2x + 1

y = -x^2 + 4

Next, we plot the graph of both equations

From the graph (see attachment), we have the following points of intersection

(x,y) = (-1, 3) and (3,-5)

Hence, the solutions to the equation are (-1, 3) and (3,-5)

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The width of the confidence interval decreases and becomes narrower (D) when the analyst takes a random sample of 30 firms and constructs a confidence interval for the mean return for the prior year, holding all else constant.

When the sample size is increased, the sample mean becomes a better estimator of the population mean, and therefore the standard error of the mean decreases.

Thus, the option (c) which states that the standard error of the mean decreases and becomes wider is incorrect.

Hence, the option (d) is the correct answer.

When the sample size is increased, the standard error of the mean decreases, resulting in a narrower width of the confidence interval.

The formula to calculate the width of the confidence interval is given by;

Width of the Confidence Interval = 2 x Standard Error of the Mean

Thus, if the standard error of the mean decreases, the width of the confidence interval will also decrease.

Hence, the option (d) which states that the width of the confidence interval decreases and becomes narrower is the correct answer.

The standard error of the mean (SEM) is the standard deviation of the sample means' distribution.

It is used to estimate the population mean's standard deviation based on the sample data.

The standard error of the mean (SEM) is inversely proportional to the sample size.

As the sample size grows larger, the SEM gets smaller, indicating a more precise estimate of the population mean.

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Answer:

False - The standard deviation is always positive.

Answer:

50 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9\)

Answer:

1/2 of the coconut.

Step-by-step explanation:

1/5 is equal to 2/10, so we can add these two fractions as 3/10 + 2/10, or 5/10.  Simplifying this gets us 1/2, so you and your friend eat, in total, half of the coconut.  

The area of the circle to the nearest tenth is approximately 283.5 cm², and the circumference of the circle to the nearest tenth is approximately 59.7 cm.

What is the circumference of a circle?​

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center. A meridian is any great circle passing through a point designated as a pole. A geodesic, the shortest distance between any two points on a sphere,

The area of a circle with radius r is given by the formula A = πr², and the circumference of a circle with radius r is given by the formula C = 2πr.

Substituting r = 9.5 cm, we have:

A = π(9.5 cm)² ≈ 283.53 cm² (rounded to the nearest tenth)

C = 2π(9.5 cm) ≈ 59.69 cm (rounded to the nearest tenth)

Therefore, the area of the circle to the nearest tenth is approximately 283.5 cm², and the circumference of the circle to the nearest tenth is approximately 59.7 cm.

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Answer:

≈103.12

Step-by-step explanation:

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Manufacturers change the size of compact disks so that they are made of the same material and have the same thickness as a current disk but have one third of the diameter, the moment of inertia will change by a factor of 1/9 or approximately 0.111.

The moment of inertia of a disk is proportional to the square of its radius (I = (1/2)mr^2). If the diameter of the new compact disk is one-third of the diameter of the current disk, then its radius will be one-sixth of the radius of the current disk (r_new = r_current/3). Therefore, the moment of inertia of the new compact disk will decrease by a factor of (1/6)^2 = 1/36, or 19.

Given that the new compact disk has one-third of the diameter of the current disk, the moment of inertia (I) will change as a function of the radius (r) squared. Since the diameter is halved, the radius is also one-third, and the moment of inertia is given by the formula I = k * r^2, where k is a constant.

When we reduce the radius to one-third (r/3), the new moment of inertia (I') can be calculated as:

I' = k * (r/3)^2
I' = k * (r^2/9)

To find the factor by which the moment of inertia has changed, we need to divide the new moment of inertia (I') by the original moment of inertia (I):

Factor = I'/I = (k * r^2/9) / (k * r^2) = 1/9

So, the moment of inertia will change by a factor of 1/9 or approximately 0.111.

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Answer:

y = 1/2x + 5

Step-by-step explanation:

We can use point slope form since we are given a point and the slope

y -y1 = m( x-x1)

where ( x1,y1) is a point and m is the slope

y -0 = 1/2 (x- -10)

y = 1/2( x+10)

y = 1/2x + 5

\(\\ \rm\longmapsto P(x,y)\)

\(\\ \rm\longmapsto \left(\dfrac{-2+4}{2},\dfrac{1-4}{2}\right)\)

\(\\ \rm\longmapsto \left(\dfrac{2}{2},\dfrac{-3}{2}\right)\)

\(\\ \rm\longmapsto \left(1,\dfrac{-3}{2}\right)\)

The given function is N(t) = 1,300 · (2)t/4. We need to find the number of bacteria present after 17 days. To find the number of bacteria present after 17 days, we need to substitute the value of t = 17 in the given function. Therefore, we have

\( N(17) = 1,300 · (2)17/4=1,300 · (2)4.25= 1,300 · 10.882\), f rom the exponent properties: 24.25 = (24)(21/4) = 16(21/4).Therefore, the number of bacteria present after 17 days is:  \( 1,300 · 10.882 ≈ 14,147.7≈ 14,148\) (round up to the nearest integer).The number of bacteria present after 17 days is 14,148 (rounded up to the nearest integer).

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The average number of customers waiting in the queue is 20

In this question, we have been given that the customers arrive at the rate of two per minute.

On average a customer waits 10 minutes in a queue.

We need to find the number of customers waiting in the queue on average.

Assume that the average number of customers waiting in the queue is N.

We have the average Rate of Arrival = 2 customers per minute

So, by the formula for average waiting time under the Single-Server Queue Model,

10 = N/2

N = 10 * 2

N = 20

The average number of customers waiting according to the single-server queue model given the above conditions is 20

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The  probability is the same as in part (d):

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

Let's begin by calculating the total number of ways to select two students from a group of 43. This can be done using the combination formula:

C(43,2) = (43!)/(2!(43-2)!) = 903

a. To calculate the probability that a male is selected first and then a female, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select a female from the remaining 42 students. Therefore, the probability is:

(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)

b. To calculate the probability that a female is selected first and then a male, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 22 ways to select a male from the remaining 42 students. Therefore, the probability is:

(21/43) * (22/42) = 0.261 (rounded to the nearest thousandth)

c. To calculate the probability that two males are selected, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select another male from the remaining 42 students. Therefore, the probability is:

(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)

d. To calculate the probability that two females are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is:

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

e. To calculate the probability that no males are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is the same as in part (d):

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

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Answer:

≈0.14m/min

Step-by-step explanation:

Answer:

1,3 and 2,4

Vertical angles are opposite and congruent to each other.

Answer:

2,4 and 1,3

Step-by-step explanation: It's the answers trust

5 : 3  is the ratio of cooking times for the rice to pasta .

What does a math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                                    You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Rice takes 20 minutes to cook

pasta takes 12

the ratio of cooking times for the rice to pasta = 20  :  12

                                                                            = 5 : 3

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Scott will therefore need 221 minutes to complete 52 kilometers at his current pace.

Long-distance travel refers to a journey between two locations that are far apart. The best option for long-distance travel is the train because it is dependable and affordable. Communication that takes place over a long distance is referred to as long-distance. His lover in Colorado gave him a long-distance call.

We may construct a proportion to calculate how long it will take Scott to complete 52 kilometers at the same speed:

52 km/m at 20 km/85 min.

We can cross-multiply to find the value of m:

20 km * m equals 85 min * 52 km.

Simplifying:

20m = 4420

20 divided by both sides:

m = 221

Scott will therefore need 221 minutes to complete 52 kilometers at his current pace.

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Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.

The average discount in percentages will be:

= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)

= 5% + 10% + 10%

= 25%

The average discount in cash amounts is:

= 25% x 60

= $15

In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.

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Based on the information in the graph, it can be inferred that the sport with the most players and followers is cricket.

To make a bar graph with the information in the table, we must take into account the categories (watch and participate), the different sports and the data that correspond to each category and each sport.

Once we understand this data, we need to set the parameters of the graph. On one axis we put the reference of the different values and on the other axis we put the different sports. Additionally, we must take into account that we must make two bars for each sport and that they represent the individuals who participate and the individuals who watch.

According to the above, the graph would look like this:

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The typical method of solving this question... (School method)

The required value of the a, b, and c is 1, 18, and -3 respectively,

Given that,
The equation y=ax2+bx+c goes through the coordinates (-6, 15), (0, -3), and (2, 7). What are the values of a, b, and c is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the given expression put x = 0 and y = -3 as ordered pair (0, -3).
-3 = 0 + 0 + c
c = -3
Similarly,
Put other ordered pair in the given equation and c from above to evaluate a and b as 1 and 18 respectively.

Thus, the required value of the a, b, and c is 1, 18, and -3 respectively,

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