A restaurant would like to estimate the proportion of tips that exceed 18% of its dinner bills. Without any knowledge of the population proportion, determine the sample size needed to construct a 96%

Hypothesis testing is a formal procedure for investigating our ideas about the world using statistics.

It is most often used by scientists to test specific predictions, called hypotheses, that arise from theories. There are 5 main steps in hypothesis testing:

State your research hypothesis as a null hypothesis and alternate hypothesis (H0) and (Ha or H1).

Collect data in a way designed to test the hypothesis.

Perform an appropriate statistical test.

Decide whether to reject or fail to reject your null hypothesis.

Present the findings in your results and discussion section.

In this case, the allergist could commit a hypothesis test by following these steps:

State the research hypothesis as H0: The proportion of the public that is allergic to some cheese products is less than or equal to 30%. Ha: The proportion of the public that is allergic to some cheese products is greater than 30%.

Collect data by randomly sampling a large number of people from the public and testing them for cheese allergy using a reliable method.

Perform an appropriate statistical test, such as a one-sample z-test for proportions, to compare the sample proportion of cheese allergy with the hypothesized proportion of 30%.

Decide whether to reject or fail to reject H0 based on the p-value of the test and a chosen significance level (such as 0.05). If the p-value is less than the significance level, reject H0 and conclude that there is sufficient evidence to support Ha. If the p-value is greater than or equal to the significance level, fail to reject H0 and conclude that there is not enough evidence to support Ha.

Present the findings by reporting the sample size, sample proportion, test statistic, p-value, significance level, and conclusion in a clear and concise way.

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The derivative of f(g(x)) with respect to x is  f'(1/x).

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is  f'(1/x).

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Answer:

Step-by-step explanation:

Given that the winners vote is represented by w

and that the opponents vote is represented by x

the question states that "The winner of an election received 1 more than 3 times as many votes as his opponent received"

Translated to mathematical expression we have

w=3(x+1)

w=3x+3

therefore the equation to find the number of votes his opponent received is known is

w=3x+3

Answer:

f(x)=1200(0.867)^x

Step-by-step explanation:

i just took the test :)

Answer:

∛2 can be written as \(2^\frac{1}{3}\). The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.

Answer:

2 1/3 is the answer

Step-by-step explanation:

In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.



To locate the point in question, refer to section 20 on the south half of the map where it is encircled. Next, examine the water table contours provided in Exercise 14A. Identify the contour line that intersects with the encircled area. This contour line represents the depth of the water table at that point.

To determine the depth a well would need to be drilled to access the water table, measure the vertical distance from the ground surface to the identified contour line. This measurement corresponds to the required depth for drilling the well.

Therefore, In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.

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Answer:

(2*(x^3-2x^2+2))/(x^2)

Step-by-step explanation:

using set notation

domain (-infinity, infinity)

range(-infinity, 3]

the domain is from negative infinity to infinity

the range is from negative infinity to three

Answer:

I don't know, sorry........

Answer:

angle y = 60

Step-by-step explanation:

They are equal due to the rule that vertical angles are always equal

"A pair of vertically opposite angles are always equal to each other."

hope this helps

Answer:

-15

Step-by-step explanation:

On substituting x= 9 in the above equation,

y= 9-5= 4

and, the y coordinate is also same i.e. 4

Yes.

It satisfies the equation.

I hope this helps you...

Hey there!

(x,y)

x = 9

y = 4

(9,4)

y = x - 5

➡️ 9 = 4 - 5

9 - 5

= 4

Therefore, this makes this statement TRUE

ANSWER: YES

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:  a) zeros: x = {0, 4, -2}

               b) as x → ∞,  y → ∞

                   as x → -∞,  y → ∞

Step-by-step explanation:

I think you mean (a) find the zeros and (b) describe the end behavior

(a) Find the zeros by setting each factor equal to zero and solving for x:

      x (x - 4) (x + 2)⁴ = 0

                       Degree  =  6

(b) End behavior is determined by the following two criteria:

Sign of the leading coefficient is Positive so right side goes UP

                                                                        as x → ∞,  y → ∞

Degree of 6 is Even so Left side is the same direction as right (UP)

                                                                        as x → -∞,  y → ∞

Answer:

when the negative is outside of the parenthesis like in

-(-(2)) you need to distribute the negative to all the numbers within the parenthesis.

so in the case of -(-(2)) the first negative would distribute inside the parenthesis making the answer positive 2

you can also just enter it in your calculator

According to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

\(P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%\)

Here, we had  where mean of distribution of X is \(\mu\) and standard deviation from mean of distribution of X is \(\sigma\).

A distribution of scores on an aptitude test is Normally distributed with a mean of 80 and a standard deviation of 5.

\(\mu=80\\\sigma=5\)

The percentage for the interval of values between 75 and 85 has to be found out. From the 68%, the interval is,

\(P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(80 - 5 < X < 80+ 5) = 68\%\\P(75 < X < 85) = 68\%\)

Thus, according to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

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Answer:

24 divided by 4 is 6

Step-by-step explanation:

888 + 88 + 8 + 8 + 8 = 1000

have a nice day!

888 + 88 + 8 + 8 + 8 = 1000

hope this helps....

Scientific notation refers to the representation of very large or very small numbers in exponential form using the power of 10. It is expressed as a number between 1 and 10 multiplied by a power of 10.

The general form of the scientific notation is:N × 10m where N is a number between 1 and 10, and m is a positive or negative integer or zero with the base of 10. Now, we need to write two numbers in scientific notation with values between 100 and 1,000.

Let's take a few examples:712 in scientific notation is: 7.12 × 102631 in scientific notation is: 6.31 × 102

Now, we need to write an inequality that shows the relationship with your two numbers.

Let's say the numbers are x and y, such that x > y.The inequality is:x > y

For instance, if we take x = 7.12 × 102 and y = 6.31 × 102, the inequality will be:7.12 × 102 > 6.31 × 102

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Answer:

A.

Step-by-step explanation:

4 < 6t + 1 ≤ 43 (Given)

3 < 6t ≤ 42 (Subtracted 1 on both sides)

1/2 < t ≤ 7 (Divided 6 on both sides)

You are looking for an open dot on 1/2 and a shaded dot on 7 with a line between them. Therefore, the answer is A.

396,667.5 is the total of all whole numbers between 1 and 890.

To find the sum of the whole numbers from 1 to 890, we can use the formula for the sum of an arithmetic series:

S = n(a1 + an) / 2

Where S is the sum, n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 890, a1 = 1, and an = 890. Plugging these values into the formula, we get:

S = 890(1 + 890) / 2

S = 890(891) / 2

S = 793335 / 2

S = 396667.5

Therefore, the sum of the whole numbers from 1 to 890 is 396,667.5.

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Answer:

The point

Step-by-step explanation:

I hope this helps. Have a good day!

Answer:

You can give me brainliest if you want

Step-by-step explanation:

Answer:x=14

Step-by-step explanation:

for plato users

The solution of the rational equation 24/(x-8) = 4 is x = 14.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

A rational equation,

24/(x-8) = 4.

Simplifying,

x - 8 = 6

x = 8 + 6

x = 14.

Therefore, the value of x is 14.

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Answer:

Step-by-step explanation:

2

The Simplified value of the "algebraic-expression" (12x³y² - 18xy)/6xy is 2x²y - 3.

An "Algebraic-Expression" represents a combination of numbers, variables, and arithmetic operations such as addition, subtraction, multiplication, and division, that represents a mathematical relationship or rule.

To simplify the expression, (12x³y² - 18xy)/6xy,  we factor out a common factor of "6xy" from the numerator;

We get,

⇒ (12x³y² - 18xy)/6xy = 6xy(2x²y - 3)/6xy,

The 6xy in the numerator and denominator cancel out,

We get,

⇒ 2x²y - 3

Therefore, the simplified expression is 2x²y - 3.

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The given question is incomplete, the complete question is

Simplify and evaluate the given algebraic expression

(12x³y² - 18xy)/6xy.

The probability that the sum of the two dice is 10 is 1/20 or 0.05.

The probability that the sum of the two dice is 10 is determined as follows:

Outcomes:

Ten-sided die outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Four-sided die outcomes: 1, 2, 3, 4

The possible sums of 10:

(1, 9)

(2, 8)

(3, 7)

(4, 6)

(5, 5)

For the ten-sided die, there are 10 possible outcomes, so the probability of each outcome is 1/10.

For the four-sided die, there are 4 possible outcomes, so the probability of each outcome is 1/4.

The probability of each pair

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

(1/10) * (1/10) = 1/100

The probability of the sum of 10 will be:

(1/100) + (1/100) + (1/100) + (1/100) + (1/100) = 5/100

The probability of the sum of 10 = 1/20

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There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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