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?

Answers

Answer 1

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation ([tex]\sigma[/tex])  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

[tex]n=(\dfrac{z^*\sigma}{E})^2[/tex], z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, [tex]\sigma[/tex] = 8.265, E = 1

So, [tex]n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}][/tex]

Hence, the number of first-year residents she must survey to be 95% confident= 263


Related Questions

what is a minimum number of points required to mark all maximum, minimum and zeros in a period of a sinusoid?

Answers

Answer:5 points :)

Step-by-step explanation:= −1) and 3 zeros (sin(0) = 0,sin( ) = 0, sin(2 ) = 0). Answer: 5 points. Hope this helps!

2.25x=27
Addition Property
Substraction Property

Answers

X=12.

Substraction property.

Given that 2x + 1 =5, what is the value of (x+3)^3

Answers

Answer: 125

Step-by-step explanation:

First, solve for x in the first equation.

1) Subtract 1 from both sides.

2x = 4

2) Divide by 2 on both sides.

x = 2

Next, substitute the value of x into the second expression.

(2 + 3)^3

= 5^3

= 125

Answer:

The value of (x + 3)³ is 125.

Step-by-step explanation:

First, we have to find the value of x.

To do so, start with the first equation, 2x + 1 = 5.

We can easily solve this equation to find the value of x.

First, start by subtracting 1 from each side.

This leaves us with 2x = 4.

Next, divide by two on each side.

This will leave us with the answer x = 2.

Now we know the value of x = 2.

All that's left to do is substitute the value of x, 2, for x.

First, start with the second equation (x + 3)³.

We know that x is equal to 2, so we can enter 2 for x.

We then have the equation (2 + 3)³.

Next, solve.

Add the 2 and the 3 together.

Now, the equation is 5³.

5³ is equal to 5 · 5 · 5

5 · 5 · 5 = 125

To sum up,

We found out that x = 2

Using 2 for x, we found out that (x + 3)³ is equal to 125.

Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
17. Identify the hypothesis:
18. Identify the conclusion:​

Answers

Answer:

Hypothesis: It is January

Conclusion:  There is snow

Step-by-step explanation:

COnditionals are in the form If p, then q.

P is the hypothesis.

Q is the conditional.

If (It is January), then (there is snow).

If and then are not included in the hypothesis and conclusion, respectively.

Hypothesis: It is January

Conclusion: There is snow

What is Hypothesis and Conclusion ?

The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.

Conditionals are in the form if P, then Q.

P is the hypothesis.

Q is the conclusion.

If It is January, then there is snow.

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Solve the following rational equation for x+2/3 2x-4/2​

Answers

Answer:

2.667

Step-by-step explanation:

I have learned how to do this. I hope it is right! (;

The cafeteria has 28 bottles of orange juice and 14 bottles of apple juice. An equal number of orange and apple juice are displayed in each row. What is the greatest number of orange juice bottles can be in each row?
Shayla says each row will have 28 orange juice bottles but Marcos says there will be 14 bottles in each row. Who is correct: Shayla or Marcos?

Answers

Answer:

The greatest number of orange juice bottles that can be displayed with the apple juice is 14. But if you want it in rows, its 2 or 8.

Step-by-step explanation:

Answer:

Marcus is right: 14 orange juice

PLEASE HELP I NEED TO PASS!

Which table has a constant of proportionality between y and x of 2?

A
B
C
HELP!

Answers

Answer:

Its B

Step-by-step explanation:

Multiply x by 2 to get your answer

What is the density of an object with a mass of 25 grams and volume of 37 cubic centimeters.

Answers

Answer:

25x37=925

Step-by-step explanation:

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

how we can help u..............

Suppose MN= 14 cm and m

Answers

Answer:

what exactly is the question bro or babe

Answer:

?

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 2y = -10

Answers

Answer:

y=x+5

Step-by-step explanation:

Hope this helps! ; D

Combine 250 mL, 500 mL, 750 mL and 3 L. How many liters is this

Answers

Answer:

4.5

Step-by-step explanation:

250 mL= 0.25 L  500 mL= 0.5 L  750mL= 0.75 L+3L

NEED HELP ASAP BRAINLY IF CORRECT

Answers

Answer:

25r +30j = 460

r - j = 3

Step-by-step explanation:

Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...

 25r +30j = 460

 r - j = 3

__

The solution is (r, j) = (10, 7).

Factorise x²+4x-525
Factorise it plz

Answers

Answer:

(x+25)(x-21)

Step-by-step explanation:

x²+4x-525

=x²-21x+25x-525

=x(x-21)+25(x-21)

=(x+25)(x-21)

Answer:

(x+25)(x-21)

Step-by-step explanation:

x²+4x-525

multiply to get -525

add to get 4

x²+4x-525

(x²+21x)(+25x-525)

factorise:

x²+21x

x(x-21)

25x-525

25(x-21)

(x+25)(x-21)

what is the number 0.0000 04 in standard form

Answers

Answer:

4x10-6 power

you just need to count the spaced or numbers till you get to 4 then put 10 then to the power of whatever and its -6 because it started from a small number

Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles?

Answers

Answer:

9636.66666665,or, 9637

Step-by-step explanation:


What is the degree of the expression below?
x2-3x +7

Answers

Answer:

1

Step-by-step explanation:

use the graph shown to complete the following sentence. when x = -3, then y = ___.

Answers

Answer:

y = -6

Step-by-step explanation:

We are trying to find the y-value when x = -3.

We see from our graph and linear equation that when x = -3, y = -6.

Therefore, our answer is -6.

In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.

Answers

Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

0/0

0/0=Undefined

f(x)= undefined

Order an acute angle, obtuse angle, a straight angle, and a right angle in order from least to greatest measure

Answers

Acute

Right

Obtuse

Straight

You have at most $24 to spend at a store. Shirts cost $9.50 each, and pants cost $16 each. Let s be numbers of shirts and p be numbers of pants. Write an inequality that represents the numbers of shirts and pants you can afford.

Answers

Answer:

[tex]9.5s \: + \: 16p \: = 24.[/tex]

Step-by-step explanation:

[tex]if \: the \: numbers \: of \: shirts \: is \: s.\\ if \: the \: numbers \: of pants \: is \: p. \\then \: the \: inequality \: that \: represents \: \\ the \: numbers \: of \: shirts \: and \: pants \: you \: can \: afford \: is : \\ 9.5s \: + \: 16p \: = 24.[/tex]

Answer:

9.5s + 16p = 24

Step-by-step explanation:

k12

∉⇆⇔↓⊆∛↓Ф×↓⇆↓∴∉∉ФФπΔ∅∠↑⁺ₐ⁾ᵃ‰™®¢₹¥£€∠

Answers

Answer:

wat we were talking about i didnt turn on my cam bc i dont want some stranger looking at my ugly a*s

Step-by-step explanation:

Solve the equation and enter the value of x below.
X-(-5) = -23
x=

Answers

Answer:

x = -28

Step-by-step explanation:

x-(-5) = x + 5

x + 5 = -23

-23 - 5 = -28

x = -28

The answer is
x-(-5)-23
X+5=-23
X=-23-5
X=-28

find the y-intercept and slope of the function’s graph, and find the equation for the function using the table in the picture.

y- intercept:
slope:
equation:

Answers

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-2)

m = 4

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is y= 4x -3

The y intercept is -3 and the slope of line is 4 .

Then the equation of line will be : y= 4x -3

Given,

Points on x and y axis .

Standard equation of line :

y = mx + c

m = slope of line

c = y intercept

Now

Firstly find out the slope of line ,

m = (y2-y1)/(x2-x1)\

m = (9-5)/(3-2)

m = 4

Now to calculate the value of y intercept

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is m = (y2-y1)/(x2-x1)

Know more about slope of line,

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will give brainliest!

In the figure, sin a) cos N and sin R
b) sin R and sin N
c) cos N and sin M
d) cos R and sin N

Answers

I think is c answer!!


I need help with my math problem

Answers

Answer:

C

Step-by-step explanation:

Y= -2(3)^2 - 3(3) -6

Y= -2(9) -9 - 6

Y= -18 - 15

Y= -33

Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:

90x − 20

What does the factor x of the first term of the expression represent?

Answers

Answer: Its B i think

Step-by-step explanation:

b) Write the following numbers in order of size.
Start with the smallest number.
0.054 0.54 0.45
0.405
o
8

Answers

Answer:

0

0.054

0.405

0.45

0.54

8

Step-by-step explanation:

2. 1. Are the following lines parallel? Explain using slopes. ty (0, 3) (-6, 1) 1 (4, 1) 2 4 6 0 2 62 (0, -2)​

Answers

Answer:

confused

Step-by-step explanation:

(4x^4y)^2
i need help

Answers

Answer:

16x⁸y²

Step-by-step explanation:

Answer:

16x^8y^2

Step-by-step explanation:

what you do is simplify the expression

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