22? (Correct me if I’m wrong)
Answer:
![P(x) = -0.004x^2 - 3.7x - 50](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.004x%5E2%20-%203.7x%20-%2050)
Step-by-step explanation:
We have to find profit
.
This can be easily found using a formula for Profit given the Revenue and Cost.
![Profit = Revenue - Cost](https://tex.z-dn.net/?f=Profit%20%3D%20Revenue%20-%20Cost)
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
Given that:
![R(x) = 6x](https://tex.z-dn.net/?f=R%28x%29%20%3D%206x)
![C(x) = 0.004x^2 + 2.3x + 50](https://tex.z-dn.net/?f=C%28x%29%20%3D%200.004x%5E2%20%2B%202.3x%20%2B%2050)
to find P(x) we can simply subtract R(x) by C(x).
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
![P(x) = (6x) - (0.004x^2 + 2.3x + 50)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%286x%29%20-%20%280.004x%5E2%20%2B%202.3x%20%2B%2050%29)
![P(x) = 6x - 0.004x^2 - 2.3x - 50](https://tex.z-dn.net/?f=P%28x%29%20%3D%206x%20-%200.004x%5E2%20-%202.3x%20-%2050)
and finally, after simplify this equation subtracting 6x by 2.3x.
this is the equation for the profit ![P(x)](https://tex.z-dn.net/?f=P%28x%29)
![P(x) = -0.004x^2 - 3.7x - 50](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.004x%5E2%20-%203.7x%20-%2050)
Answer: A. The number is a sample statistic because it is a numerical description of all of the passengers that survived.
Step-by-step explanation:
A population is simply similar items or events that a researcher or an experimenter is interested and wants to carry out an experiment on.
A statistic is simply referred to as the piece of information gotten from the population while a sample statistic is the piece of statistical information which a researcher will be able to get from the statistic.
In this scenario, the number is a sample statistic because it is a numerical description of all of the passengers that survived.
Answer:
The calculated t-value is t=0.47.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>
The degrees of freedom are (n-1)=(16-1)=15
The standard deviation is:
![s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7BSS%7D%7Bn-1%7D%7D%3D%5Csqrt%7B%5Cfrac%7B150%7D%7B16-1%7D%7D%3D%5Csqrt%7B10%7D%3D3.16)
The t-value can be calculated as:
![t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47](https://tex.z-dn.net/?f=t%3D%5Cfrac%7BM-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%20%3D%5Cfrac%7B74-68%7D%7B3.16%2F%5Csqrt%7B16%7D%7D%20%5C%5C%5C%5Ct%3D%5Cfrac%7B6%7D%7B3.16%2A4%7D%3D%5Cfrac%7B6%7D%7B12.64%7D%3D%200.47)
The probability of getting a total of 8 when two dice are rolled is 0.139 when the answer is rounded to three decimal places.
<h3>What is meant by Probability?</h3>
Numerous uses of mathematics' probability formula may be found. Probability can be used, for instance, to determine the likelihood that a certain marketing would really be successful in generating fresh customers. Calculating the likelihood of something happening is another use of probability.
Let's examine what probability is, how to compute the probabilities of single and many random occurrences, and how the terms probability and odds vary from one another.
The likelihood that an event like rolling two dice will occur is determined by probability:
P(A) = f / N
Odds and probability are connected, but the probability determines the odds. Probability is required before calculating the likelihood of an occurrence.
The probability is P(getting a total of 8 from both dices)=5/36= 0.139.
To learn more about Probability, visit:
brainly.com/question/23554593
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