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The function f(x) = 2x2 + 3 represents the rate of a boat traveling with the current in miles per hour. The function g(x) = x + 2 represents the time the boat traveled in hours. Solve (f • g)(2), and interpret the answer.

Answers

Answer 1
Answer:

\boxed{(f\cdot g)(2)=44}

Explanation:

Here we have two functions, namely:

f(x)=2x^2+3 \n \n \n g(x)=x+2

So here we need to perform the product of two functions and evaluate this new function for x=2. So:

f(x)=2x^2+3 \n \n g(x)=x+2 \n \n \n (f\cdot g)(x)=(2x^2+3)(x+2) \n \n (f\cdot g)(2)=(2* 2^2+3)(2+2) \n \n \boxed{(f\cdot g)(2)=44}

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Answer 2
Answer:

Answer:

C.(f • g)(2) = 44, the distance in miles the boat traveled

Step-by-step explanation:

Related Questions

Consider the following analogy: You are a hiring manager for a large company. For every job applicant, you must decide whether to hire the applicant based on your assessment of whether he or she will be an asset to the company. Suppose your null hypothesis is that the applicant will not be an asset to the company. As in hypothesis testing, there are four possible outcomes of your decision: (1) You do not hire the applicant when the applicant will not be an asset to the company, (2) you hire the applicant when the applicant will not be an asset to the company, (3) you do not hire the applicant when the applicant will be an asset to the company, and (4) you hire the applicant when the applicant will be an asset to the company. 1. Which of the following outcomes corresponds to a Type I error? A. You hire the applicant when the applicant will not be an asset to the company. B. You do not hire the applicant when the applicant will be an asset to the company. C. You do not hire the applicant when the applicant will not be an asset to the company. D. You hire the applicant when the applicant will be an asset to the company. 2. Which of the following outcomes corresponds to a Type II error? A. You hire the applicant when the applicant will not be an asset to the company. B. You hire the applicant when the applicant will be an asset to the company. C. You do not hire the applicant when the applicant will be an asset to the company. D. You do not hire the applicant when the applicant will not be an asset to the company. As a hiring manager, the worst error you can make is to hire the applicant when the applicant will not be an asset to the company. The probability that you make this error, in our hypothesis testing analogy, is described by:________.
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Zinfandel is a popular red wine varietal produced almost exclusively in California. It is rather controversial among wine connoisseurs because its alcohol content varies quite substantially from one producer to another. In May 2013, the author went to a certain website, randomly selected 10 zinfandels from among the 325 available, and obtained the following values of alcohol content (%). 14.9 14.5 16.2 14.3 15.9 13.7 16.2 14.6 13.9 15.1A. Calculate the interpret several measures of center.B. Calculate the sample variance using the defining formula.

If there are 5 fish and 1 of the dies how many are left ​

Answers

There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.

Please help me with this real quick

Answers

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

How do you know if a relationship between two quantities is NOT proportional?​

Answers

Answer:

Just divide y by x for every single term, and if they get the same quotient, they are proportional.

For example:

x   y

2   4         Divide 4/2. This equals 2.

6  12        Divide 12/6. This equals 2.

4   8         Divide 8/4. This equals 2.

Therefore, these quantities are proportional.

A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per week. Based on a simple random sample, they surveyed 144 dentists. The statistics showed that dentists spent an average of 20 hours per week on fillings with a standard deviation of 10 hours. What is the probability of finding a sample mean less than 18 hours?

Answers

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=(X-M)/((s)/(√(N) ) ) where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=(18-20)/((10)/(√(144) ) )=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

Final answer:

Based on given mean & standard deviation, by using principles of Central Limit Theorem and Z-score calculation, the probability of finding a sample mean less than 18 hours is approximately 0.0082 or 0.82%.

Explanation:

This question is about the probability of a specific sample mean in statistics, based on provided mean and standard deviation values. It requires the principle of the Central Limit Theorem which states that means of samples taken from a population are normally distributed irrespective of the population's distribution.

To answer this question, we first need to calculate the standard error (SE), which is the standard deviation divided by the square root of the sample size (n). In this case, SE = 10/sqrt(144) = 10/12 = 0.83 (rounded to 2 decimal places).

Next, we calculate the Z score, which tells us how many standard deviations an element is from the mean. So, Z = (Sample Mean - Population Mean) / SE = (18 - 20) / 0.83 = -2.4 (rounded to one decimal place).

Using the Z score table (also known as a standard normal distribution table), we find that the probability of a Z value of -2.4 or less is approximately 0.0082. Thus, the probability of finding a sample mean less than 18 hours is 0.0082, or 0.82% when expressed as a percentage.

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When using 3 letters to make an angle the middle letter is

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X? Not sure what the answer choices are but try that

I have 6.8 grams of fat in my cereal and 8 grams of fat in my milk ...how much fat do I have ...answer

Answers

Answer:

You have 14.8 grams of fat in total.

Step-by-step explanation:

6.8 + 8 = 14.8
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