Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1 year. From past studies, she knows the population standard deviation is 8.265. How many first-year residents must she survey to be 95% confident?

Answer: 817.9

Step-by-step explanation:

area of sector : 150/360 x 3.14 (pi) x (27.8)^2 = 1011.1323

area of circle: 1/2 x 27.8^2 x sin150 = 193.21

subtract area of sector from area of circle to get area of shaded region :)

Answer:

-16

Step-by-step explanation:

x/-2 = 8

cross multiply.

-2(-2) = 0 (because you're cross multiplying)

8(-2) = -16

x= -16

Answer:

X = -16

Step-by-step explanation:

X / (-2) = 8

Multiply both sides by -2 and you get:

X = -16

Answer:

6 + (-15)

Step-by-step explanation:

6 - 15 would also be written as 6 + (-15). If you distribute the '+' into the '-15', you would get the negative 15.

1 * -15 = -15

So, 6 + (-15) would be the equivalent addition expression​.

Hope this helps.

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The correct journal entry to recognize the event of a $7,000, 30-day, 12% note not being paid by the maker at maturity on November 21 would be: Debit: Notes Receivable - $7,000 and Credit: Accounts Receivable - $7,000

1. The note is not paid at maturity, which means it becomes a bad debt for the company.

2. The amount of the note, $7,000, should be debited to Notes Receivable because it represents the principal amount of the note that is now considered uncollectible.

3. The credit entry of $7,000 should be made to Accounts Receivable because the maker of the note was initially recorded as a debtor (Accounts Receivable) when the note was created.

4. This journal entry reflects the recognition of the uncollectible note and removes the amount from the Accounts Receivable balance.
The entry does not involve the "cash" or "credit notes receivable" accounts because the note is not being paid and does not involve a transaction with cash.

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The correlation between two variables is an important measure that helps us understand the relationship between them. In Scenario 3-2, if the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would not change the correlation (r) between wine consumption and heart disease death rate.

The correlation coefficient (r) measures the strength and direction of the relationship between two variables. If the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would change the units in which the death rate is expressed, but it would not change the underlying relationship between wine consumption and heart disease death rate.

In other words, regardless of the units in which the death rate is expressed, the correlation between wine consumption and heart disease death rate would remain the same. This is because the correlation measures the relationship between two variables, not the units in which they are expressed. It is important to note that expressing the death rate in different units may make it easier or more difficult to understand the relationship between two variables, but it does not change the underlying correlation.

In conclusion, the correlation (r) between wine consumption and heart disease death rate would not change if the death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people.

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When the spinner is divided evenly into eight parts with three colored blue, one colored orange, two colored purple, and two colored yellow, the likelihood that the spinner is spun once and the color is not blue is 62.5%.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

number of possibility=8

number of sample case=5

Probability that spinner is spun once and color is not blue,

=5/8

=0.625

=62.5%

The probability that spinner is spun once and color is not blue is 62.5% when spinner divided evenly into eight sections with three colored blue, one colored orange, two colored purple, and two colored yellow.

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Answer: C: 37.5%

Step-by-step explanation:

Yes, it would be appropriate to use these values to carry out a two-sample z-test to evaluate whether the difference between doctors and pharmacists is real.  

Here are the steps to perform the two-sample z-test:
1. Define the null and alternative hypotheses:
  - Null hypothesis (H0): There is no significant difference between the proportions of respondents who rate medical doctors .
 
2. Calculate the standard error (SE) for the difference in proportions using the formula:
  SE = sqrt(p1*(1-p1)/n1 + p2*(1-p2)/n2)
  where p1 and p2 are the proportions of respondents who rated doctors and pharmacists as .

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The given values from the Gallup poll are not sufficient to carry out a two-sample z test and determine whether the difference between doctors and pharmacists is statistically significant.

Based on the information provided, it would not be appropriate to use these values to carry out a two-sample z test to evaluate whether the difference between doctors and pharmacists is real.

Here's why: The Gallup poll asked respondents to rate the honesty and ethical standards of people in different fields. The ratings for medical doctors and pharmacists were "very high or high" for 65% and 67% of respondents, respectively. However, these percentages alone do not provide enough information to carry out a statistical test.

To conduct a two-sample z test, we would need to know the sample sizes for both doctors and pharmacists, as well as the actual number of respondents who rated them "very high or high." We would also need to assume that the samples were randomly selected and independent.

Without this additional information, we cannot calculate the necessary statistics for a two-sample z test.

Therefore, the given values from the Gallup poll are not sufficient to carry out a two-sample z test and determine whether the difference between doctors and pharmacists is statistically significant.

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Answer:

C

Step-by-step explanation:

Multiplying the sequence by 2 gives us the next term. Therefore it has to be the formula a1 x r^n-1. If we substitute the values it would end up as the answer C

Answer:

The correct answer would be option C; 12 x 2ⁿ⁻¹

Step-by-step explanation:

You can check this using any number

since n is the term number we can check it;

let's say we have to find out the answer to the third term number, so we will substitute the n by 3 in the equation from option C and solve

term = 12 x 2ⁿ⁻¹

term = 12 x 2 ³ ⁻¹

term = 12 x 2 ²

term = 12 x 4

term = 48

The term does match the third number in the series given above and hence the equation works!

Hope this helps!

Time taken by hose B to fill the vat alone = 9 hours

Let 'x' be the capacity of the vat filled in an hour.

Hose A can fill the vat in 3 hours. i.e., 3x quantity is filled in the vat.

After 2 hours of pumping, 2x/3x = 2/3 of the vat is filled.

The remaining to be filled is x/3x = 1/3 capacity of the vat.

It takes 3 hours for hose B to fill the remaining 1/3 capacity of the vat alone.

Let t be the time taken by hose B to fill the whole vat .i.e., 3/3 = 1 capacity of the vat.

In ratio form, 3 : t = 1/3 : 1.

Thus Time taken by hose B to fill the vat alone = 3 ÷ 1/3

                                                                              = 3 x 3

                                                                              = 9 hours

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Option (a) is correct. There is only a 2% chance that we would get a correlation coefficient as big as or bigger than the one observed if the null hypothesis were true.

If a correlation coefficient has an associated probability value of .02, it means that there is only a 2% chance that we would get a correlation coefficient this big (or bigger) if the null hypothesis were true.

This probability value, also known as the p-value, indicates the likelihood of observing the data or more extreme data if the null hypothesis were true. In this case, the null hypothesis would be that there is no correlation between the two variables being analyzed.

Therefore, option (a) is correct. There is only a 2% chance that we would get a correlation coefficient as big as or bigger than the one observed if the null hypothesis were true.

This means that the results are statistically significant, suggesting that there is a relationship between the variables being analyzed.

Option (b) is also correct. The results are important because they suggest that there is a significant relationship between the variables being analyzed.

This information can be used to inform decision-making and further research.

Option (c) is incorrect. We should not accept the null hypothesis because the p-value is less than the commonly used alpha level of 0.05.

This means that we reject the null hypothesis and conclude that there is a relationship between the variables.

Option (d) is also incorrect. The hypothesis has not been proven but is rather supported by the evidence.

Further research is needed to confirm the relationship between the variables and to determine the strength and direction of the relationship.

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Answer:Yes

Step-by-step explanation:

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.

Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.

The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.

An example with the asymptote y = 0 is attached.

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Answer:

In standard notation, the number is \(2.6 * 10^4\) light years

Step-by-step explanation:

We have to write the number 26,000 in standard notation,

in standard notation, there is 1 number before the decimal and all others come after the decimal and some power of 10 is multiplied depending upon the number,

in our case,

26000 = 2.6 * 10^4

(since the number is 26 thousand 2.6 ten thousand and ten thousand = 10^4)

Answer:

2x²+x+1

Step-by-step explanation:

you are adding the functions  together so it is collecting like terms

        6x+1

+ 2x²-5x      

 2x²+x+1

|(2-4i)^n| is grater than 1.

A complex number is a number of the form a + bi, where a and b are real numbers ; This way, a complex number is defined as a polynomial.

Here, given that,

|(2-4i)^n|

where, n>1

then , we get,

|(2-4i)^n| is grater than 1.

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What are your answer choices?

It is a graph of a function

From power rules, the equation \((x^2)^{-2}+x^4*x^5\) is represented by \(\frac{1}{x^4} +x^9\) and the  \(\frac{x^2}{x^4} -(x^2)^2\) is represented by \(\frac{1}{x^2} -x^4\).

Knowing some of the main power rules.

For solving this question, you should identify which power rules you will apply and after that solve the expression.

The question gives two algebraic expressions.

(1)  \((x^2)^{-2}+x^4*x^5\)

(2)  \(\frac{x^2}{x^4} - (x^2)^2\)

The rules that you will be applied are: multiplication, power and exponent negative.

\((x^{-4})+x^9\)=  \(\frac{1}{x^4} +x^9\)

The rules that you will be applied are: division, power and  exponent negative.

\(\frac{x^2}{x^4} -(x^2)^2=x^{-2}-x^4=\frac{1}{x^2} -x^4\)

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Answer:

4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the price of 5 units for $5.75

The unit rate is:

Correct choice is C

Answer:

290 in^2.

Step-by-step explanation:

Adding all the areas of rectangles:

= 11*8 + 11*3 + 11*8 + 11*3 + 3*8 + 3*8

= 290 in^2.

Answer:

B)  290 in²

Step-by-step explanation:

Area of a rectangle = length × width

⇒ SA of the net = 2(11 × 8) + 2(11 × 3) + 2(8 ×3)

                           = 176 + 66 + 48

                           = 290 in²

Answer:

Answer: 1/6

Step-by-step explanation:

Total number of numbers = 12Total number of 4  or 6 = 2P( 4 or 6) = 2/12 = 1/6Answer: 1/6

The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.

Slope=Vertical Change/Horizontal Change

This is also represented as the "ratio of rise to run of a line".

Slope=Rise/Run

In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".

Horizontal Change/ Vertical Change= 1/slope

This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.

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The calculated bearing of Y from W is 118 degrees

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

The bearing of W from Y = 24 + 128 + 90 = 242 degrees

Using the above as a guide, we have the following:

The bearing of Y from W = 360 - The bearing of W from Y

Substitute the known values in the above equation, so, we have the following representation

The bearing of Y from W = 360 - 242

Evaluate

The bearing of Y from W = 118

Hence, the bearing of Y from W is 118 degrees

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After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

The table provides the daily temperatures in Honolulu, measured in degrees Fahrenheit, for each month of the year. The month t corresponds to January, with t-1 representing the previous month.

The table likely contains a column with the months of the year, labeled as t, and a corresponding column with the average daily temperatures in Honolulu for each month. The month t-1, which corresponds to January, would be the first month in the table.

By examining the table, one can observe the variations in temperatures throughout the year in Honolulu. The temperatures may fluctuate based on seasonal changes, climate patterns, and other factors specific to the region.

Analyzing the table can provide insights into the temperature trends in Honolulu, such as the warmest and coolest months, seasonal variations, and potential patterns or anomalies in the data. It allows for a better understanding of the climate in Honolulu and helps in making weather-related predictions or analyses.

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