A drug store chain provides an app to its customers to track their shopping habits. One statistic the app

tracks is the amount of money the customer saves by purchasing sale items. The company's sales

team pulls data from the previous year for a random sample of 50 customers. They find that the

mean amount of money saved by these customers in the previous year is $154 with a standard

deviation of $26.

(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers

in the previous year by purchasing sale items.

(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of

error. Propose two changes that would decrease the margin of error. What are potential

drawbacks if those changes are implemented?

Using c we can compute the three complex cubic roots of 2-2i. The roots are (-1 + i), (1 - i), and (-2). The explanation below provides the step-by-step process of finding these roots.

De Moivre's Formula states that for any complex number z = r(cos θ + i sin θ), the nth root of z can be calculated as z^(1/n) = r^(1/n)(cos(θ/n + 2πk/n) + i sin(θ/n + 2πk/n)), where k is an integer.

In this case, we have z = 2-2i, which can be represented in polar form as r = √(2^2 + (-2)^2) = 2√2 and θ = tan^(-1)(-2/2) = -π/4.

To find the cubic roots, we need to compute z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 2πk/3) + i sin((-π/4)/3 + 2πk/3)].

For k = 0:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3) + i sin((-π/4)/3)] = (∛2)[cos(-π/12) + i sin(-π/12)] = (-1 + i).

For k = 1:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 2π/3) + i sin((-π/4)/3 + 2π/3)] = (∛2)[cos(7π/12) + i sin(7π/12)] = (1 - i).

For k = 2:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 4π/3) + i sin((-π/4)/3 + 4π/3)] = (∛2)[cos(-5π/12) + i sin(-5π/12)] = (-2).

Therefore, the three complex cubic roots of 2-2i are (-1 + i), (1 - i), and (-2)

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The correct answer is option is 3) 4, 12, 20, 28, 36, 44 and option is 1) -8,-40, -200,-1000,-5000, -25,000.

Question 1= The given sequence is a1 = -4 and an = an-1 + 8.

Here, to find the first six terms of the given sequence, we need to substitute the values of n from 1 to 6.

So, the first six terms of the given sequence are as follows:

The first term, a1 = -4.

Second term, a2 = a1 + 8 = -4 + 8 = 4.

Third term, a3 = a2 + 8 = 4 + 8 = 12.

Fourth term, a4 = a3 + 8 = 12 + 8 = 20.

Fifth term, a5 = a4 + 8 = 20 + 8 = 28.

Sixth term, a6 = a5 + 8 = 28 + 8 = 36.

So, the first six terms of the given sequence are  -4, 4, 12, 20, 28 and 36.

Hence, the correct option is 3) 4, 12, 20, 28, 36, 44.

Question 2= The given sequence is a1 = -8 and an = 5an-1.

Here, to find the first six terms of the given sequence, we need to substitute the values of n from 1 to 6.

So, the first six terms of the given sequence are as follows:

First term, a1 = -8.

Second term, a2 = 5a1 = 5(-8) = -40.

Third term, a3 = 5a2 = 5(-40) = -200.

Fourth term, a4 = 5a3 = 5(-200) = -1000.

Fifth term, a5 = 5a4 = 5(-1000) = -5000.

Sixth term, a6 = 5a5 = 5(-5000) = -25,000.

So, the first six terms of the given sequence are  -8, -40, -200, -1000, -5000 and -25,000.

Hence, the correct option is 1) -8,-40, -200,-1000,-5000, -25,000.

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Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < [tex]\hat p[/tex] < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4%  < [tex]\hat p[/tex] × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

Answer:

A, the company’s claim may be justified because 0.2 is in the confidence interval.

Step-by-step explanation:

Answer:

is 84 dollars

Step-by-step explanation:

Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!

Answer:

20:5

Step-by-step explanation:

1. What is the ratio for B and H?

Ratio = 4 to 1 or 4:1

2. What is the question asking?

The question is increasing 5 to 20. What is the quotient of 20 and 5? 4! The question is basically multiplying B by 5. Now, since math is a very jealous subject, it needs to be done on the other side too! So you need to multiply the B, which is 1, by 5.

3. 1 x 5?

5

4. Answer

So, since B is 20 and H is 5, the ratio would be 20:5!

Hiii, so I REALLY want to rank up, and I just need 4 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!

Answer:

Step-by-step explanation:

J

Answer:

The juice label (300ml) is in the confidence interval.

So, the 95% CI does not give the inspector the reason to believe the amount of juice differs from 300ml

Step-by-step explanation:

Given

[tex]95\%\ CI = (296.4, 300.2)[/tex]

[tex]Juice\ label = 300ml[/tex]

From the 95% confidence interval value, we have: 296.4 to 300.2

Within this interval, we can find the juice label 300

i.e. 296.4 < 300 < 300.2

In other words, the juice label (300ml) is in the confidence interval.

So, the 95% CI does not give the inspector any reason to believe the amount of juice differs from 300ml.

Answer:

I believe the answer is 10

Step-by-step explanation:

Answer:

I think that it might be ten

Step-by-step explanation:

R4 ≈ 1.5535. The given function is f(x) = 5 cos(x).

We have to estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints.

(Round your answers to four decimal places.)

Here is the given function graphically and the approximating rectangles: [tex]\text{graph}\left(5\cos\left(x\right),\ \left(0,\ \frac{\pi}{2}\right)\right)[/tex]

Now, let's find the value of ∆x:∆x = [b-a]/n, here n is the number of rectangles.

∆x = [π/2 - 0]/4= π/8

First, we will find the right endpoints of four approximating rectangles: x1 = ∆x+x0 = π/8+0 = π/8x2 = ∆x+x1 = π/8+π/8 = π/4x3 = ∆x+x2 = π/8+π/4 = 3π/8x4 = ∆x+x3 = π/8+3π/8 = π/2

Now, we will find the height of each rectangle: For rectangle 1: f(x1) = 5 cos(π/8) ≈ 4.8729

For rectangle 2: f(x2) = 5 cos(π/4) ≈ 3.5355For rectangle 3: f(x3) = 5 cos(3π/8) ≈ 1.4645

For rectangle 4: f(x4) = 5 cos(π/2) = 0

Therefore, the area under the curve using four approximating rectangles and right endpoints is:R4 = ∆x (f(x1) + f(x2) + f(x3) + f(x4))R4 = π/8(4.8729 + 3.5355 + 1.4645 + 0)≈ 1.5535 (rounded to four decimal places)

Hence, R4 ≈ 1.5535.

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Answer:

60 because I added all of them

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

The translation of the compound statement into propositional logic notation is as follows: T ∧ (E ↔ (F ∧ ¬O)).

In propositional logic notation, the compound statement is broken down into individual propositions using sentence letters and logical operators. Here, T represents "Today is Thanksgiving Day," E represents "I will eat the turkey," F represents "The turkey is free range," and O represents "The turkey has been tortured." The compound statement can be translated as T ∧ (E ↔ (F ∧ ¬O)), where ∧ represents the logical AND operator, ↔ represents the logical biconditional operator (if and only if), and ¬ represents the logical NOT operator (negation). This notation captures the conjunction of the conditions and the relationships between them.

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Robots have captured the human imagination for centuries and have become indispensable in many fields, including space exploration and medicine. They have evolved from simple mechanical devices to advanced machines that assist in complex tasks.

Robots have been a source of fascination for humans for centuries. From Leonardo da Vinci’s mechanical suit of armor in 1497 to Westinghouse’s seven-foot robot in 1937, robots have come a long way. Today, robots are used in many fields, including space exploration and medicine. They allow surgeons to operate on patients from thousands of miles away and navigate hospital corridors to deliver pharmaceuticals, X-rays, and bandages. Astronauts use robots to perform maintenance on the International Space Station and NASA sends robotic spacecraft to explore distant planets.

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Answer:

fraction 1 over 2 the difference of 734 and 246.

Answer:

See explanation below

Step-by-step explanation:

Total number = (Rate)(time)

---------------------------------------

t = cd

t = qh

t = wm

Answer:

192/12=16 per hour

16 x 17 = 272

Step-by-step explanation:

Answer:

with what?

Step-by-step explanation:

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is  b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

Answer:

No, the Jaguarundi will not reach the bird

Step-by-step explanation:

The equation is

[tex]h=-16t^2+22.3t+2[/tex]

When h = 10 feet

[tex]10=-16t^2+22.3t+2[/tex]

[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]

[tex]a=-16[/tex]

[tex]b=22.3[/tex]

[tex]c=-8[/tex]

Discriminant is given by

[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]

[tex]\Rightarrow b^2-4ac=-14.71[/tex]

[tex]\Rightarrow b^2-4ac<0[/tex]

So, the Jaguanrundi will not reach the bird as the roots will be imaginary.

Answer:

t = r n − 2 1 − r 2 = 0.45 25 − 2 1 − 0.45 2 = 2.417 The critical value for α = 0.05 for a two-tailed test using the t 24 distribution is 2.064. Your value is greater than this, so you reject the null hypothesis and conclude that the study produced evidence that the variables are significantly correlated

Step-by-step explanation:

Statistical inference methods include significance tests, confidence intervals, and sampling distributions.

Statistical inference refers to the process of drawing conclusions and making predictions about a population based on sample data. It involves using various methods and techniques to make inferences and generalize findings to the larger population.

Significance tests are statistical inference methods that help determine if there is enough evidence to reject or accept a specific hypothesis about a population parameter. They involve calculating a test statistic and comparing it to a critical value to make a decision.

Confidence intervals are another statistical inference method that provides a range of plausible values for a population parameter. They estimate the parameter with a certain level of confidence and are based on sample data and the sampling distribution of the statistic.

Sampling distributions are fundamental to statistical inference as they describe the distribution of a statistic based on repeated sampling. They provide information about the variability and properties of the statistic under different sample scenarios.

Normal and binomial summaries, as well as graphs and numerical summaries, are tools and techniques used in statistical inference to summarize and analyze data but are not specific methods themselves. They help in understanding and visualizing data, which in turn informs the application of statistical inference methods.

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The answer is:Option (F) Box (iii) is the best and Box (i) is worst, for the given one hundred draws will be made at random with replacement from one of the following boxes based on expected-probability.

Given the three boxes:

(i) 1 9(ii) 4 6(iii) 5 5

One hundred draws will be made at random with replacement from one of the above boxes.

Let us now calculate the expected value of the sum for each of the boxes:

(i) Expected value of sum = (1+9)/2 × 100

                                          = 500.

(ii) Expected value of sum = (4+6)/2 × 100

                                           = 500.

(iii) Expected value of sum = (5+5)/2 × 100

                                            = 500.

Box (i) and (ii) have the same expected value, so we can choose either of them.

However, it is important to note that in Box (ii) the numbers are closer together than in Box (i),

so the sum is more likely to be near the expected value.

This makes Box (ii) the best option.

Box (iii) is the worst option as it has a smaller range than the other two boxes,

Which means that it is less likely to produce a sum close to the expected value.

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3.14 × 16 = 50.24

C is ur answer

now gimme brainliest

Answer:

B or the second one i did  my math

Step-by-step explanation:

Answer:

[tex]Part=\frac{1}{10}[/tex]

[tex]Part=0.10[/tex]

Step-by-step explanation:

Given

[tex]Columns = 10[/tex]

[tex]Shaded = 1[/tex]

Required

Part of the whole

This is calculated as:

[tex]Part=\frac{Shaded}{Columns}[/tex]

Substitute [tex]Columns = 10[/tex] and [tex]Shaded = 1[/tex]

[tex]Part=\frac{1}{10}[/tex]

[tex]Part=0.10[/tex]

To determine the fair price of a weather derivative, use Monte Carlo simulation to generate sample temperature paths, count the number of days below 70 degrees for each path, calculate the payoffs, and estimate the derivative price using the sample mean.

To compute the fair price of the weather derivative using Monte Carlo simulation, you can follow these steps:

Generate n sample paths for the maximum temperature using the given iterative formula and the specified distribution of X₁,...,X₆. Create a matrix to store the sample temperature paths.

For each sample path, count the number of days with a maximum temperature below 70 degrees.

Calculate the payoff for each sample path: If the number of days below 70 degrees is two or more, the payoff is $100; otherwise, the payoff is $0.

Estimate the option price by taking the sample mean of the payoffs.

Here's a summary of the steps to determine the fair price of the derivative:

Generate n sample paths for maximum temperature using the iterative formula and the specified distribution.

Count the number of days below 70 degrees for each sample path.

Calculate the payoff for each sample path: $100 if the count is two or more, $0 otherwise.

Estimate the fair price of the derivative by taking the sample mean of the payoffs.

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B and B simple math and simplification of the problems : (2x-5y)(2x-5y) and (x+7)(x+7)

Being amenable to scientific study means that a research topic can be investigated using scientific methods and principles.

When a research topic is described as being amenable to scientific study, it means that it can be effectively examined and analyzed using scientific methods and principles. This implies that the research question or phenomenon can be studied through systematic observation, data collection, experimentation, and analysis within the framework of scientific inquiry.

To be amenable to scientific study, a research topic should be measurable, testable, and capable of producing empirical evidence. It should lend itself to rigorous investigation, allowing for the formulation of hypotheses, the collection of data, and the application of statistical analysis or other scientific methodologies.

Furthermore, the topic should be well-defined and specific enough to be studied systematically, allowing for replication and peer review, which are essential aspects of scientific research.

Overall, being amenable to scientific study means that the research topic can be examined and understood using the established principles and methods of scientific inquiry.

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Answer: C

Step-by-step explanation: #1 because if you add 24 and 7 it looks like the other side.

Answer:

A. 25

Step-by-step explanation:

By Pythagoras theorem,

[tex] {25}^{2} = {24}^{2} + {7 }^{2} \\ 625 = 576 + 49 \\ 62 5= 625 \\ therefore \: 25 \: is \: the \: correct \: \: answer.[/tex]