Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np greater than or equal to 5 and nq greater than or equal to 5 must be met. For p= 0.9, compute the minimum sample size needed for use of the normal approximation. Round your answer to the next whole number.
The minimum sample size needed for use of the normal approximation is =

Answers

Answer 1

Answer:

The minimum sample size needed for use of the normal approximation is 50.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 5

n(1-p) >= 5

In this question, we have that:

p = 0.9

Since p > 0.5, it means that np > n(1-p). So we have that:

[tex]n(1-p) \geq 5[/tex]

[tex]n(1 - 0.9) \geq 5[/tex]

[tex]0.1n \geq 5[/tex]

[tex]n \geq \frac{5}{0.1}[/tex]

[tex]n \geq 50[/tex]

The minimum sample size needed for use of the normal approximation is 50.


Related Questions

Which property is illustrated by the statement 6x4=4x6

Answers

Answer:

commutative property of multiplication

Answer:

commutative property of multiplication

Step-by-step explanation:

Amy is buying ribbon for an art projectShe estimates that she will need 3.84 meters of ribbon. The store only sells ribbon by the tenth of a meter. How many meters should she buy?

Answers

Answer:

3.90 meters.

Step-by-step explanation:

Since Amy needs ribbon for her art project, and she plans to buy 3.84 meters of that material, but the store only sells said product by the tenth of a meter, in order to get closer to the desired size she will have to buy 39 pieces of 10 cm (one tenth of a meter), that is, she must buy 3.90 meters, of which there will be 6 centimeters of the product left over.

What is fhe distance between points (-4, -8) and (10, -8)

Answers

Answer:

Its its, i think its 69, the carrot

Step-by-step explanation:

If the volume of a box if found by calculating the product of its length, height and width, then which of
the following statements below explain the volume of a box represented by function V(x) = x* (10 -
4x) and correctly interpreted V (2)?
A
Given the length, the height, and the width of the box, it was a perfect cube. V(x) is a cubic
function for volume of the box with sides measuring 2 units, where V(2) = 8.
B
Given the length of x, the height of 2x, and the width of 10 - 4x of the box, V(x) is a cubic
function for the volume of the box, where V (2) = 16.
C Given the length, the height, and the width of the box, 2 of the dimensions were the same. V(2)
is a cubic function for the volume of the box with 2 sides measuring 2 units, where V (2) = 8.

Answers

Answer:

v(x)=x^3+2x^2-11x-12

Step-by-step explanation:

Please help !!! Don’t understand this math problem

Answers

Answer:

31.4

Step-by-step explanation:

10 x 3.14 ( pi) =31.4in2

Simplify the expression.
(2xy)3

Answers

Answer:

the answer to this problem I believe is 6xy

Answer:

8x^3*y^3 if you meant ^3 otherwise it is 6xy if you meant *3

Step-by-step explanation:

If you could give brainliest it would be much appreciated

select an equivalent expression. 2(3x+9)​

Answers

x(12y + 4)..............

Find f(x)=x-1
find f(4)​

Answers

Answer:

f(4) = 3

Step-by-step explanation:

f(4) = 4-1 = 3

Loryn made a pitcher of lemonade that contained a 6 and 1/2 cups of lemonade. One serving of lemonade is 1/2 cup. How many cups of lemonade can Lordy serve to her friends?

Answers

Answer:

6 1/2

Step-by-step explanation:

i think you got to multiply then you have to make 6 1/2 an mixed number then divide the answer to get an improper fraction

Sara had 88 dollars to spend on 8 books. After buying them she had 16 dollars. How much did each book cost?

Answers

88-16=72/8= 9$ /= division ANSWER each book is 9$

Answer

$9

first take $88 and subtract what you have left which is $16,

88-16 = 72

Now take 72 and divide by number of books bought which was 8

72/8 = 9

So each book cost $9

What percentage is 7/100 equivalent to?

Answers

Answer:

7% because 0.07 is a decimal and 7/100borb7% is the percentage of 7/100

Answer:

7%

Step-by-step explanation:

0.07 is a decimal and 7/100 or 7% is the percentage for 7/100.

If m_PQT=(3x+47) and m_SQR=(6x+25), find m_SQR

Answers

Answer:

6x+25

Step-by-step explanation:

here is given that

ANSWER THIS PLS!!!!

The constant velocity motion formula can be expressed as x = x0 + vt

where x is the location of the object at time t, xo is where the object begins, and v is the constant velocity. This is an example of a linear equation.

Suppose we’re collecting data on an object that we know has a constant velocity. We observe the object being 40m away from us at time 4. 10 seconds later at time 14, we make another observation and notice the object is now 70m away.


Using this data, and the constant velocity motion formula, determine an equation that models the object’s path.

Answers

Answer and Step-by-step explanation: With the constant velocity motion formula, we can determine constant velocity of the object in motion whose data we collected:

x = x₀ + vt

Velocity can be calculated as:

[tex]v=\frac{x-x_{0}}{t}[/tex]

[tex]v=\frac{70-40}{10}[/tex]

v = 3 m/s

The beginning of the data collect, object is 40m away, then x₀ = 40.

So, equation modeling the object's path is x = 40 + 3t.

9 times k times k times k times k times k as a exponet

Answers

Answer:

9 as the base and k as the exponet

Step-by-step explanation:

Translate and solve: Eighty-Two less than r is less than −164.


Give your answer in interval notation.

Answers

Answer:

(−∞,−82)

Step-by-step explanation:

Eighty-two less than r, r−82 is less than <−164.

Now we can solve the inequality by adding 82 to each side.

r−82r−82+82r<−164<−164+82<−82

In interval notation, we write this as (−∞,−82).

The value of r in the statement eighty-Two less than r is less than −164

is r < - 82.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a b.

The given statement is Eighty-Two less than r is less than −164 which can be numerically expressed as,

r - 82 < - 164.

r < - 82.

learn more about inequalities here :

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i need to know the degrees equaled to the question

Answers

I’m sure it’s 141° since it’s two parallel lines

Answer: 141°

PLEASE HELP ASAP
John plays basketball and makes about 60% of the shots he attempts, and misses about 40% of the
shots he makes. Based on this information, if John attempts 150 shots, about how many will he make
in the basket?

Answers

The answer is 20%

John  make 60% and misses 40%

subtract 60 and 40 and its going to be 20 so 20% of the 150 shots your going to make in the basket.

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.

Answers

Answer:

A = 0.05 billion visits per year

Step-by-step explanation:

Given that,

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002.

We need to find the average rate of change in the number of public library visits from 1998 to 2002.

So,

[tex]A=\dfrac{1.5-1.3}{2002-1998}\\\\A=0.05\ \text{billion visits per year}[/tex]

Hence, the required average rate is 0.05 billion visits per year.

Stephan added 26 new contacts to his phone list. He had to delete 16 old contacts before he could add any more. Stefan now has a total of 100 contacts. Let c represent how many contacts he had on his phone list before he updated it. Write an equation and then solve for c.

Answers

Answer: 26-16= c

c=10

Step-by-step explanation:

Answer: 90c-16c+26c=100c

Stephan had 90 contacts before he deleted 16 then added 26 more how it works is Stephan had 90 right, then proceeded to delete 16 which left him with 74 contacts after he then added 26 more contacts so he know has 100 contacts.

i just need to make sure this is correct for a test 6x² - 3x when x=5. my answer was 135

Answers

Answer:

135 is the correct answer

Step-by-step explanation:

6x^2-3x

substitution

x=5

6* (5*5) -3*5

6*25-3*5

150-15= 135

Answer:

Yes, it's 135.

Step-by-step explanation:

6(5^2)-3(5)

6(25)-15

150-15= 135.

x + 2y = -6
Solve for y

Answers

y= -3-x/2 dhshshshshhshshshshahahhahagagagaga
y=-3-x/2 when you move x to the opposite side it turns negative. then divide 2 to all terms.

Find the solution to the system.
y = X-6
y = -3x + 2

Answers

Answer:

x=6

Step-by-step explanation:

x=6 yuhhhhh hahahahahahah

What is the parallel and perpendicular slope for
3
- _
2
(PLEASE SHOW WORK)

Answers

Answer:

parallel  = -3/2

perpendicular = 2/3  

Step-by-step explanation:

i hope this helps and good luck

Answer:

Parallel slope of -3/2 is -3/2Perpendicular slope of -3/2 is 2/3

Step-by-step explanation:

A line in a graph parallel/collinear to another line has same slope.

A line perpendicular to the another line has negative and reciprocal slope of the given line.

Can you please Solve this for me?

Answers

(1) 1.375 (2)  -1.5

Step-by-step explanation:

There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?

Answers

Answer:

noo

Step-by-step explanation:

no, 35 divided by 7 is 5 and 42 divided 7 is 6 it should actually be 5:6

Abigail is incorrect and the correct ratio of  the number of boys in 6th grade to the number of girls in 6th grade is 3:4

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The number of boys in 6th grade is 30

The number of girls in 6th grade is 40.

The  ratio of the number of boys in 6th grade to the number of girls in 6th grade is 30:40

30/40

Divide numerator and denominator by 10

3/4

The  ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4.

But Abigail says that  the  ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3, which is not true.

Hence, Abigail is incorrect and the correct ratio of  the number of boys in 6th grade to the number of girls in 6th grade is 3:4

To learn more on Ratios click:

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What is the mean absolute deviation of Robin’s scores?

Answers

Answer:

what r Robins scores

Answer:

5.2

Step-by-step explanation:

I got it right on edge lol.

Evan made a new copy of the picture so that it would fit in his photo album. He used the same scale factor to reduce both the length and width of the picture. If the length of the new image is 6 inches, what is the width?

Answers

Answer:

7.5

Step-by-step explanation:

10 - 6 is a 40% decrease so 12.5-40% is 7.5

What is the x value of -6+x=-2

Answers

4

add +6 to both sides cuz it’s the inverse operation

so x=4

Answer:

x=4

Step-by-step explanation:

add 6 to both sides and you get 0+x=4

What quadrant is the point (-4, 3)? So I could at least get 10 points

Answers

Answer:

Step-by-step explanation:

quadrant 2 ( or if its asking for a letter B)

10÷2[500÷5{6 + (21+7-24)}}
can any one ????​​

Answers

Answer:

5,000

Step-by-step explanation:

=10÷2[500÷5{6+4}

=10÷2[500÷5×10]

=10÷2[100×10]

=10÷2×1000

=5×1000

=5000

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