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

If 115% of a number is 460, what is 75% of that number?

Answers

Answer:

300

Step-by-step explanation:

Step 1:

460/115 = x/75         Equation

Step 2:

115x = 34,500       Multiply

Step 3:

x = 34,500 ÷ 115         Divide

Answer:

x = 300

Hope This Helps :)

What 100000654 divided by 89765

Answers

Answer:

1114.027

Step-by-step explanation:

brainliest for correct answers

Answers

Answer:

impossible

unlikely

neither unlikely nor likely

likely

certain

Step-by-step explanation:

A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?

Answers

Answer:

t ≤ 15

Step-by-step explanation:

Let t = tables

6 * 15 + 2* t ≤ 120

90 + 2t ≤ 120

2t ≤ 30

t ≤ 15

A pizza restaurant charges $10.00 for 1 pizza, $20.00 for 2 pizzas, and $28.00 for 3 pizzas. Based on this information, how much will the restaurant charge for 4 pizzas?

Answers

Answer: $36.00

For every extra pizza, it will cost eight dollars more. So, the fourth pizza will cost $36.00.

Plz mark brainliest:)

help asap
..........

Answers

the answer is +2

zvzvhbhbj jnj

Given: -4x + 2y = 8
Prove: y = 4 + 2x​

Answers

Answer:

Step-by-step explanation:

-4x+2y=8

2y=8+4x

y=[tex]\frac{8+4x}{2}[/tex]

y=[tex]\frac{2(4+2x)}{2}[/tex]

y=4+2x  

proved

write the next three terms of the sequence.

Answers

Answer:

25, 34, 43

Step-by-step explanation:

-11 + x = -2, -11 + 9 = -2                -2 + x = 7, -2 + 9 = 7,  7 + 9 = 16                             -2 - x = -11, -2 - 9 = -11                   7 - x = - 2,                                                               2 + x = 11,  11 - 2 = 9, 9 = x            7 - 7 = 0 - 2 = -2,   7 + 2 = 9,    7 - 9 = -2    

16 + 9 = 25,   25 + 9 = 34,   34 + 9 = 43              

J'espère que cela pourra aider : )                                                    

   

2 3/8x3 3/7 please answer

Answers

Answer:

171/56

Step-by-step explanation:

convert the mix number to an improper fraction then calculate your income

Answer:

I think it would be 8 1/7  if im wrong im srry!

Step-by-step explanation:

Multiply. Enter the product in simplest form.
1/8×2/5
Multiply. Enter the product in simplest form.
2/9×7/8
Multiply. Enter the product in simplest form.
5/8×4/5
Multiply. Enter the product in simplest form.
4/3×2/7
Multiply. Enter the product in simplest form.
7/25×20/21 The product is
Multiply. Enter the product in simplest form.
5/6×1/5 The product is
Multiply. Enter the product in simplest form.
5/8×32
Multiply. Enter the product in simplest form.
5/8×24
Multiply. Enter the product as an improper fraction in simplest form.
1/5×6
Multiply. Enter the product as an improper fraction and mixed number in simplest form.
1/8×10

Answers

Answer:

1. {1/20} 2. {7/36} 3. {1/2} 4. {8/21} 5. {4/15}

6.{1/6} 7.{ 20} 8. {15} 9. {1.2} 10. {1.25}

Step-by-step explanation:

Which pairs of angles in the figure below are vertical angles?

Check all that apply.

Answers

i believe it’s answer choice B and C

1-2 [-3/2 (8/9) +11]

Answers

Answer:

Your answer is:

Simplify:

Exact Form: -55/3

Decimal: 18.3

Mixed Fraction: -18 1/3

Step-by-step explanation:

Hope this helped : )

Suppose that a recent poll found that 50 ​% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral​ values, complete parts​ (a) through​ (e) below.

Answers

Answer: 3.75

Step-by-step explanation:

P=0.50, n=15

np= 0.5x15 gives 7.5

n(1-p)= 15x(1-0.5)=7.5

Both are greater than 5

Then Mean, u=np;15x0.5=7.5

Standard deviation, √np(1-p)

15x0.5(0.5)= 3.75

Does x=3 make the equation 5x-3=12 true or false?

Answers

It would be false :)!

Answer:

True

Step-by-step explanation:

5 times 3 equal 15. 15 minus 3 equals 12

in a class of 30 students 60% said they walk to school
Write a proportion that you could use
to determine the number of students in
the class who walk to school.​

Answers

moan and groan a lot ghjiouygbnjkh

What is the solution to the inequality -2.1x + 2.9 > 15.5?

Answers

Answer:

x<−6

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2.1x+2.9>15.5

Step 1: Subtract 2.9 from both sides.

−2.1x+2.9−2.9>15.5−2.9

−2.1x>12.6

Step 2: Divide both sides by -2.1.

−2.1x−2.1>12.6−2.1

x<−6

2) Consider the following system of three equations:
(I added an image)

Answers

Answer:  No solutions

===============================================

Explanation:

Subtract the second equation from the first one

[tex]\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5[/tex]

Let's call that result equation 4.

Now focus on equation 3 and equation 4

equation 3 is   -x+7y-6z = 2

equation 4 is   -x+7y-6z = 5

Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.

A number plus one is greater than negative five and less than three.

Answers

Answer:

Step-by-step explanation:

1. It is less than three and more than negative five. 1 + 1 is 2 and 2 is less than 3.

Whats is the answer of 1x3x4x6+1

Answers

Answer:

73

Step-by-step explanation:

Answer:73

Step-by-step explanation:

Ok last one my sis needs help on lol again I’m doing my homework and cAnT HeLp rn pls just help lol

Answers

Answer:

Part A: 15.55

Part B: 0.45

Step-by-step explanation:

Part A:

The giraffe is already 14.29 so when you add the length of its tongue (equation 14.29 + 1.26) then that would equal 15.55

Part B:

The giraffe is trying to eat some leaves that are 16 feet above the ground so you would subtract 16 - 15.55 to see how much farther it needs to reach, so the answer is 0.45.

(This is what I got, I apologize if I get this wrong. If I messed up on something, someone please correct me, thank you and have a nice day!)

Answer:

Part A:   It can reach 15.55 feet.

Part B:   Need to reach 0.45 feet farther to get to the leaves of a 16 feet tree.

Step-by-step explanation:

giraffe + tongue = reach

      14.29 + 1.26 = 15.55

tree height - giraffe reach = extra distance

16 - 15.55 = 0.45 feet

2+2+2......

please help ASAP................

Answers

Answer:

6

Step-by-step explanation:

2*3=6

I did the test

6 is the answer. Work- 2+2=4+2=6 hope that helped.

The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width.

Answers

Answer:

106 meters

Step-by-step explanation:

50x2=100 100+6=106

Answer: 22

Step-by-step explanation:

50=2x+6

Add negative 6 to both sides (50+ -6) and (6+-6)

Then divide both sides by 2 (2x/2) and (44/2)

That is how you properly solve this 2 step equation

2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?​

Answers

Answer:

You need to find the equations for each scenario and set them = to each other

Step-by-step explanation:

A) S = 5t + 5

B) S = 7t + 2

Now set them = and solve for t

5t + 5 = 7t + 2

3 = 2t

t = 3/2 of an hr

To check plug in 3/2 into both equations and you should get same answer.

Hope this helps and never stop striving to learn more!

10. Write the fraction 9/50 as a decimal. If
necessary, round your answer to the nearest
hundredth.
A 0.28
© 0.5
B 0.18
D 0.09

Answers

Answer:

0.18

Step-by-step explanation:

9/50 is the same as 18/100, we know this because if we multiply both 9 and 50 by 2, it gives us 18/100. 18/100 can be turned into the decimal, 0.18, so your answer is 0.18

I hope this helps :)

Given the relation y = 7x^2 + 3, if the input is 4, what is the output? (4 points) 115 116 118 120

Answers

Answer:

115

Step-by-step explanation:

PLug in 4 as the value of x.

7 (4)^2 + 3

7 (16) + 3

112 + 3

115.

The output is 115.

simplify 12*3/12*7 QUICK PLEASE

Answers

Answer:

12*3/12*7= 3/7

Step-by-step explanation:

make it braintliest please

The formula for the perimeter of a rectangle is P=2(l+w). Solve for w.

Answers

Answer:

w = p/2 - l

Step-by-step explanation:

Hope this helps!!

Answer:

W=(P-2L)/2

Step-by-step explanation:

W=(P-2L)

Then what ever number you get divide by 2

To get the width

PLEASE HELP THE ONES I CIRCLE ARE THE ONES YOU DO

Answers

Answer:

1 is a competition, 2 is protection, 5 is division, and 8 is solution.

Step-by-step explanation:

hope these are all correct and you ace this!

Which of the following fractions can be represented by a terminating decimal?


A.

B.

C.

D.

Answers

You did not include any numbers within your question

Answer:

C

Step-by-step explanation:

7.82 change the decimals to fractions reduced to lowest terms.​

Answers

Answer:

7.82 = 391

50

= 741

50

as a fraction

To convert the decimal 7.82 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

7.82 = 7.82

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

7.82

1

= (7.82 × 100)

(1 × 100)

= 782

100

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,

(782÷2)

(100÷2)

= 391

50

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 782

100

is also equal to 741

50

when expressed as a mixed number.

Step-by-step explanation:

Answer:

7.82

20

Step-by-step explanation:

hope this helps

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