The teachers had to transport 165 students by bus on a field trip. Each bus holds 64 students. How many buses do they need to order?

Answer:

  3(x+2)/(2(x+4))

Step-by-step explanation:

A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.

__

  \(\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}\)

The program provided sets up output destination options and then executes a PROC PRINT statement to display the data from the "orion.test" dataset. However, without running the program, I can still provide an explanation based on the code.

In the code, the ODS (Output Delivery System) statements are used to control the output format and destination. The first line, "ods all close;", closes all open ODS destinations. The second line, "ods html file='c:\test.html' style=meadow;", directs the output to an HTML file named "test.html" located at "c:\test.html" with a specific style called "meadow". The next line, "ods html close;", closes the HTML output destination.

Following that, the "ods listing;" statement directs the output to the default output destination, which is typically the SAS log or output window. Then, the PROC PRINT statement is used to print the data from the "orion.test" dataset.

Considering the output destinations set up in the program, the output will be available in three different places. First, it will be saved as an HTML file named "test.html" at "c:\test.html". Second, if you have the SAS output window or log open, you will be able to see the output there as well. Finally, the output will also be available as a CSV file since the "ods csvall;" statement directs the output to be generated in CSV format.

In summary, the program generates output in three locations: an HTML file, the SAS output window or log, and a CSV file. These destinations allow for different ways to access and review the output data.

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The inverse of the function f(x) = 2x+1 is (x-1)/2.

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.

Given;

Function, f(x) = 2x + 1.

To find the inverse of the function:

First, let y = f(x)

That is,

y = 2x +1

Then, make x the subject of the equation

y = 2x + 1

To make x the subject of this equation:

First, subtract 1 from both sides

We get

y -1 = 2x

Now, divide both sides by 2.

x = (y-1)/2

Now, rewrite as f⁻¹(x) by replacing y by x.

That is,

f⁻¹(x)  =  (x-1)/2

Therefore, the inverse of the function f(x) is (x-1)/2.

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Answer:

C.

Step-by-step explanation:

-6 4/5 and 64/5 are opposites or a zero pair so when you add them you get zero.

Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

Answer:

A.13

Step-by-step explanation:

You just have to add the 12 and the 14 and then divide it by 2.

12+14=26

26/2= 13

Hope it helps!

Answer:

56 i did the work

Step-by-step explanation:

Answer:

what the answer

Step-by-step explanation:

Answer: 207.1875

Step-by-step explanation:

side length a = 19.5 cm

side length b = 21.25 cm

diagonal p = q = 28.841159824112 cm

perimeter P = 81.5 cm

area of rectangle A = 414.375 cm2

area of rectangle divided into a triangle = 207.1875

hope this helps

Answer:

1/10

Step-by-step explanation:

\(-\frac{1}{4} * -\frac{2}{5}\\\\= \frac{2}{20}\\\\=\frac{1}{10}\)

Feel free to mark this as brainliest! :D

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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Answer:

Step-by-step explanation:

Ln means log to the base e and 3x+1 is an exponent

So the answer is:

4 = e^(3x+1).

According to Euler's Theorem, if gcd(a,n) = 1, then a(n) 1. (mod n). The number of relatively prime integers in the range of 1, 2,..., n-1 is represented by the Euler totient function.

The probability that mn has a units digit of 1 = 2/5

By Euler's Theorem, we have that \($a^{4} \equiv 1 \pmod {10}$\) if \($\gcd(a,10)=1$\) Hence\($m=11,13,17,19$,\)\($n=2000,2004,2008,2012,2016$\) work.

Also note that \($11^{\text{any positive integer}}\equiv 1 \pmod {10}$\) because \($11^b=(10+1)^b=10^b+10^{b-1}1+...+10(1)+1$\), and the latter\($\pmod {10}$\)is clearly \($m=11$\),  \($n=1999,2001,2002,2003,2005,...,2018$\) work (not counting multiples of 4 as we would be double counting if we did).

We can also note that \($19^{2a}\equiv 1 \pmod {10}$\) because\($19^{2a}=361^{a}$\), and by the same logic as why \($11^{\text{any positive integer}}\equiv 1 \pmod {10}$\)we are done. Hence \($n=2002, 2006, 2010, 2014, 2018$\) and \($m=19$\) work (not counting any of the aforementioned cases as that would be double counting).

We cannot make any more observations that add more\($m^n$\) with unit digit \($1$\), hence the number of \($m^n$\) that have units digit one is \($4\cdot 5+1\cdot 15+1\cdot 5=40$.\) And the total number of combinations of an element of the set of all \($m$\)and an element of the set of all n is  \($5\cdot 20=100$\). Hence the desired probability is \($\frac{40}{100}=\frac{2}{5}$\).

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a=associates / p=partners

1a= $800 / 1p= $1500

(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

(x)a + (y)p = $z

hope this helps :)

Step-by-step explanation:

mark me as the brainliest

The Taylor series for f centered at π/20 iff^(2n). (π/20) = (-1)^n . 10^2n and f^(2n+1). (π/20) = 0 or infinity.

Given that the function f has derivatives of all orders, we can use the Taylor series expansion to find the series for f centered at π/20.
The Taylor series for f centered at π/20 is:
f(x) = Σ [f^(n) (π/20)] * (x - π/20)^n / n!
     n=0 to infinity
But we have information about the derivatives of f at π/20. We know that f^(2n) (π/20) = (-1)^n * 10^(2n) and f^(2n+1) (π/20) = 0 for all n.
Using this information, we can simplify the Taylor series for f as follows:
f(x) = Σ [(-1)^n * 10^(2n)] * (x - π/20)^(2n) / (2n)!
     n=0 to infinity
Notice that all the terms with odd powers of (x - π/20) have disappeared because f^(2n+1) (π/20) = 0.
Therefore, the Taylor series for f centered at π/20 is:
f(x) = Σ [(-1)^n * 10^(2n)] * (x - π/20)^(2n) / (2n)!
     n=0 to infinity

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The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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The y-intercept for this situation shows that the speed of the ship sailing is 0 miles per second during the time t = 4 seconds, after that the speed keeps on decreasing.

Look into the fact that the vector of acceleration points in the same general direction as the vector of velocity change. This indicates that whether you add to or subtract from the velocity depends on the direction of the acceleration.

The graph is shown for the distance travelled by the ship with time by Clare.

Thus, the y-intercept for this situation shows that the speed of the ship sailing is 0 miles per second during the time t = 4 seconds, after that the speed keeps on decreasing.

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Answer:

a(14)=469762048

Step-by-step explanation:

geometric sequence= a(n)=a*r^(n-1)

  we have:

  a=7

  r=28/7=4

So:

  a(14)=7*4^(14-1)

         =7*4^(13)

          =469762048

hope this helps

Answer:

False

Step-by-step explanation:

We can simplify this equation and then solve for x.

\((x+3)^3-4=0\\\\x^2+6x+9-4=0\\\\x^2+6x+5=0\\\\(x+2)(x+3)=0\\\\x=-3\\x=-2\)

As you can see, the solutions are not x=-1 and x=-5.

Therefore, the answer is false.

Answer:

True

Step-by-step explanation:

Given

(x + 3)² - 4 = 0 ( add 4 to both sides )

(x + 3)² = 4 ( take the square root of both sides )

x + 3 = ± \(\sqrt{4}\) = ± 2 ( subtract 3 from both sides )

x = - 3 ± 2

Thus

x = - 3 - 2 = - 5

x = - 3 + 2 = - 1

It could be challenging to remove blocks from the middle and bottom of the pile in order to draw a basic random sample. Take 10 blocks off the top of the pile to represent convenience as an example.

A non-probability sampling technique called convenience sampling includes selecting a sample from the nearest area of the population. Pilot testing makes the most use of this kind of sampling. Convenience sampling enables researchers to acquire data that would not otherwise be possible in the absence of a sample frame.

Convenience sampling can assist you in collecting data for exploratory research that can be utilised to develop a compelling hypothesis or research topic. Convenience sampling has several benefits, but its main benefits are that it is affordable, effective, and straightforward to use. The main drawback of convenience sampling is the sample's unclear generalizability.

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A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a test of significance

Statistical Test

A statistical test provides a mechanism for making quantitative decisions about a process or processes. The intent is to determine whether there is enough evidence to reject a conjecture or hypothesis about the process.

A test of significance is a formal procedure for comparing observed data with a claim (also called a hypothesis), the truth of which is being assessed. The claim is a statement about a parameter, like the population proportion p or the population mean µ.

Hypothesized Probability Distribution

To hypothesis test with the binomial distribution, we must calculate the probability, p , of the observed event and any more extreme event happening. We compare this to the level of significance α . If p>α then we do not reject the null hypothesis. If p<α we accept the alternative hypothesis.

The test is a statistical test .The test is used to accept or reject an hypothesis. The statistical test that has the above features is the test of significance

Then the statistical test is the test of significance.

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a test of significance

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Answer:

What is OBJ X = -81

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

an absaloute value means that every number inside of that would be a positive number.

Answer: Least 1/2

Step-by-step explanation: Middle 2/3

Greatest 5/6

Answer:

Least 1/2

Middle 2/3

Greatest 5/6

Step-by-step explanation:

First,5 divided by 6,is 0.83(in to 1 decimal point)

Then 2 divided by 3 is 0.67(in to 1 decimal point)

Last 1 divided by 2 is 0.5(in to 1 decimal point)

So is 5/6 is greatest and 2/3 is in the middle and the least is 1/2.

Answer:

Would it be 1?

Step-by-step explanation:

I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer : x = 30 degrees

< JKL and < MKQ are complementary

Let < MKQ = x

Angle JKL is twice the measure of angle MKQ

JKL = 2 x MKQ

Sum of a complementary angles = 90 degrees

< JKL + < MKQ = 90

< JKL = 2MKQ

Substitute the value of < jkl

2(<2MKQ + Since, Therefore,

2x + x = 90

3x = 90

Divide both sides by 3

3x / 3 = 90/3

x = 30 degrees