determine whether the given function is linear or nonlinear. if it is linear determine the equation of the line

Answers

Answer 1

Answer: It is liner. Y= -3x + 1

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Select a discrete probability distribution and present a real-life application of that distribution. Interpret the expected value and the standard deviation of your selected distribution within the context of the real-life example that you have selected, and describe how these values can be used by enterprise decision-makers.

Answers

Answer:

If a new product wants to be tested by a company and decides to show 50 samples of this product to 50 selected customers. The company estimates that the probability that the customer buys the product is 0.67, the objective is to determine approximately how many people expect to buy the product.

Let X the random variable of interest "Number of people that will buy a selected product", on this case we now that:

$X \sim Binom(n=50, p=0.67)$

The expected value is given by this formula:

$E(X) = np=50*0.67=33.50$

And the standard deviation for the random variable is given by:

$sd(X)=√(np(1-p))=√(50*0.67*(1-0.67))=3.32$

So then they can conclude that for each group of 50 people they expect that about 33-34 peoploe will buy the product with a standard deviation of 3.32.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

Solution to the problem

Let X the random variable of interest "Number of people that will buy a selected product", on this case we now that:

$X \sim Binom(n=50, p=0.67)$

The expected value is given by this formula:

$E(X) = np=50*0.67=33.50$

And the standard deviation for the random variable is given by:

$sd(X)=√(np(1-p))=√(50*0.67*(1-0.67))=3.32$

So then they can conclude that for each group of 50 people they expect that about 33-34 peoploe will buy the product with a standard deviation of 3.32.

A company is considering a new manufacturing process. It knows that the rate of savings (in dollars per year) from the process will be about S(t) = 5000(t + 3), where t is the number of years the process has been in use. Find the total savings during the first year. Find the total savings during the first 5 years. The total savings during the first year is __________

Answers

Answer:

Total saving during first 5 years=$137500

Total saving during first year=$17500

Step-by-step explanation:

We are given that

Savings rate

$S(t)=5000(t+3)$

Total saving during first 5 years is given by

$=\int_(0)^(5)5000(t+3)dt=5000[(t^2)/(2)+3t)]^(5)_(0)$

Total saving during first 5 years= $5000((25)/(2)+3(5))$ =$137500

Total saving during first year= $\int_(0)^(1)5000(t+3)dt$

Total saving during first year= $5000[((t^2)/(2)+3t)]^(1)_(0)$

Total saving during first year= $5000((1)/(2)+3)=$ $17500

Which graph represents the solution set of the compound inequality -4 s 3x-1 and 2x+4 518?-10
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Answers

The compound inequality in x : -1 ≤ x ≤ 7

The correct graph is A .

Given, inequality: -4 ≤ 3x -1 and 2x + 4 ≤ 18 .

First inequality:

-4 ≤ 3x -1

Take -2 from RHS to LHS .

-4 + 1 ≤ 3x

-3 ≤ 3x

x ≥ -1

X will have values greater than equal to -1 .

Second inequality:

2x + 4 ≤ 18

take 4 from LHS to RHS.

2x ≤ 18 - 4

2x ≤ 14

x ≤ 7

x will have values less than equals to 7.

Combined result of both inequalities: -1 ≤ x ≤ 7 .Thus graph A is correct.

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Answer:

it's the first one where X is greater or equals to -1 and X is less or equals to positive 7

What is the ones digit in the number 2²⁰⁵³?

Answers

Answer:

most likely 3

Step-by-step explanation:

if ur asking for the exponent 3 is in the ones place

A boat propeller spins 1044 times in 3 MINUTES. Find the rate in revolutions per SECOND.

Answers

Answer:

The answer is 5.8 times a second

Step-by-step explanation:

Divide 1044 by 180 (The number of seconds in 3 minutes)

Final answer:

To calculate the rate in revolutions per second, we first convert the 3 minutes into seconds, which is 180 seconds. We then divide the total number of revolutions, 1044, by 180. This gives us a rate of 5.8 revolutions per second.

Explanation:

To solve this problem, we need to convert minutes into seconds because the rate is asked in revolutions per second.

Let's start by figuring out how many seconds are in those 3 minutes. We know that in 1 minute, there are 60 seconds. So, 3 minutes would be 3 times 60, which is 180 seconds.

Next, we will calculate the rate by dividing the total number of revolutions, which is 1044, by the total number of seconds, which is 180. So, 1044 ÷ 180 = 5.8.

This means that the propeller spins at a rate of 5.8 revolutions per second.

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Four research teams each used a different method to collect data on how fast a new iron skillet rusts. Assume that they all agree on the sample size and the sample mean (in days). Use the (confidence level; confidence interval) pairs below to select the team that has the smallest sample standard deviation.A. Confidence Level: 99.7%; Confidence Interval: 40 to 40
B. Confidence Level: 95%; Confidence Interval: 40 to 50
C. Confidence Level: 68%; Confidence Interval: 43 to 47
D. Confidence Level: 95%; Confidence Interval: 42 to 48

Answers

ConfidenceLevel: 95%; Confidence Interval: 42 to 48. Then the correct option is D.

How to interpret the confidence interval?

Suppose the confidence interval at P% for some parameter's values is given by x ± y.

That means that the parameter's estimated value is P% probable to lie in the interval

[x - y, x + y]

Four research teams each used a different method to collect data on how fast a new iron skillet rusts.

Assume that they all agree on the sample size and the sample mean (in days).

Use the (confidence level; confidence interval) pairs below to select the team that has the smallest sample standard deviation.

Then we have

48 - 42 = 6

Then we have

6/2=3

3 is smallest

Then the correct option is D.

Learn more about confidence intervals here:

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Answer:

D. Confidence Level: 95%; Confidence Interval: 42 to 48

Step-by-step explanation:

48-42=6

6/2=3

3 is smallest

I tested A and got it incorrect so D is the awnser

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