Suppose you believe that the true average daily trade volume for General Electric stock is 49,829,719 shares and a standard deviation of 21,059,637 shares. Considering a 95% confidence level: What is the minimum required sample size if you would like your sampling error to be limited to 1,000,000 shares

Answers

Answer 1

Answer:

The minimum sample size is 1,704.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 21,059,637 shares

This means that [tex]\sigma = 21059637[/tex]

What is the minimum required sample size if you would like your sampling error to be limited to 1,000,000 shares?

This is n for which [tex]M = 1000000[/tex], so:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1000000 = 1.96\frac{21059637}{\sqrt{n}}[/tex]

[tex]1000000\sqrt{n} = 1.96*21059637[/tex]

[tex]\sqrt{n} = \frac{1.96*21059637}{1000000}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*21059637}{1000000})^2[/tex]

[tex]n = 1703.8[/tex]

Rounding up:

The minimum sample size is 1,704.


Related Questions

16. write an inequality for each graph
a.....
b.....

17. Graph each inequality on a number line.
a.....

b....

Answers

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x [tex]\geq[/tex] -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

20 points Surd question Work out the area of the triangle. ABC

Answers

Answer:

sqrt( 150)

Step-by-step explanation:

it can also be 5sqrt(6)

The solution is,  the area of the triangle. ABC is 10 cm^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

from the given diagram, we get,

we have to find the area of the triangle. ABC

now, we have,

using the Pythagorean theorem, we get,

BD = √AB² - AD²

     =√50 - 45

     =√5

now, we know that,

area of triangle = 1/2 * base * height

                          = 1/2 * √5 * 4√5

                          = 10

Hence, The solution is,  the area of the triangle. ABC is 10 cm^2.

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A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50

Answers

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are dismissed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Total of 7 + 18 = 25 employees, which means that [tex]N = 25[/tex]

7 over 50, which means that [tex]k = 7[/tex]

10 were dismissed, which means that [tex]n = 10[/tex]

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055[/tex]

0.055 = 5.5% probability that exactly 5 employees were over 50.

Two minor league baseball players got a total of 390 hits. Washington had 2 more hits than Sanchez. Find the number of hits for each player.
Washington had
hits. Sanchez had
hits

Answers

9514 1404 393

Answer:

Washington had 196 hitsSanchez had 194 hits

Step-by-step explanation:

Let s represent the number of hits Sanchez had. Then Washington had (s+2) hits, and their hit total was ...

  s +(s+2) = 390

  2s = 388 . . . . . . subtract 2

  s = 194 . . . . . . . . divide by 2

Sanchez had 194 hits; Washington had 196.

 

The two triangles are similar.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x=4

Step-by-step explanation:

[tex]\frac{16}{12}= \frac{6x}{5x-2}[/tex]

assuming that the triangles are similar, we can create this ratio of 16 or 12+4 to 6x and 12 to 5x-2

we can cross multiply to get 16(5x-2)=6x(12)

that leaves you with 80x-32=72x

we can then subtract 80x to both sides to get -32= -8x

solve by diving -8 from both sides which means that x=4

Answer:

[tex]this \: triangles \: are \: similar \: so \\ sides \: must \: be \: in \: a \: ratio \\ \frac{16}{12} = \frac{6x}{5x - 2} \\ \frac{4}{3} = \frac{6x}{5x - 2} \\ 4(5x - 2) = 3 \times 6x \\ 20x - 8 = 18x \\ x \: terms \: togather \\ 20x - 18x = 8 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4 \\ thank \: you[/tex]

suppose two soccer teams consist of players with a combined average height of 66 inches. if team a has an average height of 68 inches and has twice as many members as team b, what is the average height of team b

Answers

Answer:

The average height of team b is 62 inches.

Step-by-step explanation:

Mean:

The mean of a data-set is the sum of all values in the data-set divided by the number of values, that is:

[tex]M = \frac{s}{n}[/tex]

Sum:

Team a: Mean of 68 inches, 2x members.

Team b: Mean of y inches, x members.

So

[tex]s = 68*2x + yx = x(136 + y)[/tex]

Number of athletes:

[tex]n = 2x + x = 3x[/tex]

What is the average height of team b?

[tex]66 = \frac{x(136+y)}{3x}[/tex]

[tex]66 = \frac{136 + y}{3}[/tex]

[tex]136 + y = 198[/tex]

[tex]y = 198 - 136 = 62[/tex]

The average height of team b is 62 inches.

In a process control study, the overall process average over 15 samples is 63.45 with an average corresponding range of 5.6. What is the lower control limit of the R-chart

Answers

Answer:

[tex]LCL=1.94[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=15[/tex]

Mean [tex]\=x=63.45[/tex]

Range [tex]R=5.6[/tex]

Generally at [tex]n=15[/tex]

Value of Control chart constant,

 [tex]LCL=D*R[/tex]

Generally the equation for Lower Control Limit is mathematically given by

 [tex]LCL=D*R[/tex]

 [tex]LCL= 0.347*5.6[/tex]

 [tex]LCL=1.94[/tex]

Find mBFE, help ASAP!!!

Answers

Answer: C

<BFE is 148 degrees

Step-by-step explanation:

We have angles <BFC (57 degrees) and <CFD (34 degrees), but what is <DFE?

1. The angle symbol in the vertexes shows that <BFC is congruent to <DFE, meaning that they are the same

2. Knowing this, we can safely say that <DFE is equal to 57 degrees because <BFC is also 57 degrees.

3. Now, we have all the angles we need to find out <BFE.

4. <BFC+<CFD+<DFE=<BFE

5. Substitute to get

57+34+57=<BFE

91+57=<BFE

148=<BFE

6. Now we know that the answer is 148 degrees.

2. What is the variable in the expression:
13x3 +7
(Select one answer)
7
3
13

Answers

I think it would be 3

if two of the three points (0,0) ,(2,3) (3,4) lie on one side and other on another side of line x-3y+3​

Answers

Answer:

Opposite sides

Step-by-step explanation:

Given equation of line is 

L=3x−2y+1=0

For the point (2,1), L=5>0

For the point (−3,5),L=−18<0

Opposite signs shows that the two points lies on the opposite side of the line  L=0.

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and passes through the midpoints of the 10 cm edges?

________ centimeters by 18 centimeters
PLZ PLZ HELP
A rectangular prism with length of 10 centimeters, width of 8 centimeters, and height of 18 centimeters.
A. 2
B. 8
C. 10
D. 18

Answers

The answer is… D. 18

a.
What is 46.7% of
4/5?

Answers

Answer:

0.3736

Step-by-step explanation:

46.7 percent of  [tex]\frac{4}{5}[/tex] is 0.3736.

What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a standard measurement.What is a fraction?A number is stated as a quotient in mathematics when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.Solution  -

To find 46.7% of [tex]\frac{4}{5}[/tex].

So,

[tex]\frac{46.7}{100}[/tex] × [tex]\frac{4}{5}[/tex]

[tex]\frac{0.467}{100}[/tex] × [tex]\frac{4}{5}[/tex]

⇒ [tex]0.3736[/tex]

Therefore,  46.7% of  [tex]\frac{4}{5}[/tex] is 0.3736.

Know more about percentages here:

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Ming rented a bike from Ted's Bikes. It cost $13 plus $3 per hour. If Ming paid $31,
then he rented the bike for how many hours?

A)7.
B)10.3333
C)6
D)10

Answers

Answer:

C, 6

Step-by-step explanation:

31-13 is 18, 18/3 is 6.

Answer:

6

Step-by-step explanation:

31-13= 18

18÷3 = 6

Answer from Gauthmath

Determine if the sequence below is arithmetic or
geometric and determine the common difference / ratio in
simplest form.
3, 8, 13, ..
(PLEASE HELPP)

Answers

9514 1404 393

Answer:

  arithmetic; common difference of 5

Step-by-step explanation:

It usually works well to check differences first. Here, they are ...

  8 -3 = 5

  13 -8 = 5

These are the same value, so the sequence is arithmetic with a common difference of 5.

What is the value of x?

Answers

Answer:

Step-by-step explanation:

(2x - 5)° + 45° = 180°

2x - 5 + 45 = 180

x = 70

The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees

Answers

Answer:

90

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+x+10 +x+50 = 180

3x+60= 180

3x = 180-60

3x = 120

Divide by 3

3x/3 = 120/3

x = 40

The largest angle is

x+50

40+50 = 90

We have to,

find the measure of the largest angle.

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

Let's start to solve,

→ x+ (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50-10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ [x = 40°]

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Thus, option (D) is the correct answer.

What is the index of the radical below?
√10

A. 5
B. 9
C. 2
D. 10​

Answers

A because the the radical of 10 is 5 and 2
Answer: Index = 2 Radical = 10

❤✔

PLEASE HELP ME MAKE SURE YOUR ANSWER IS RIGHT BEFORE ANSWERING

Answers

Answer:

Always. Always.

Step-by-step explanation:

All circles conform to the same equations such as using pie to calculate circumference. Unlike a rectangle, for example, all ratios used in a circle are the same.

Can anyone help me with this?

Answers

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

4[tex]\sqrt{7}[/tex] - 10[tex]\sqrt{7}[/tex] + 7[tex]\sqrt{7}[/tex] ( add the coefficients of the terms )

= (4 - 10 + 7) [tex]\sqrt{7}[/tex]

= 1[tex]\sqrt{7}[/tex]

= [tex]\sqrt{7}[/tex]

Martha ran a 3-mile race in 24 minutes. how long does it take her to run 1 mile?

Answers

Answer:

8 minuets

Step-by-step explanation:

24min/3miles = 8

Answer:

8 minutes.

Step-by-step explanation:

If we divide 24 minutes by 3 miles, your answer will be 8 minutes.

Which equation represents the parabola with focus (8, 4) and vertex (8, 2)

Answers

Answer:

Step-by-step explanation:

The focus lies above the vertex, so the parabola opens upwards.

Find the perimeter of a triangle with sides 2 ft 3 in., 3 ft 4 in., and 4 ft 6 in.

Answers

2ft + 3 ft + 4 ft = 9ft and 3in + 4in + 6in = 13 in. 13 inches is also equal to 1ft 1 inch so 1ft 1 inch + 9ft = 10 feet and 1 inch for a perimeter

Will mark you BRAINLIEST!

Answers

Answer:

x = 9/8

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AB         BC

----  = -----------

AD       ED

x            1

----  = -----------

x+9       9

Using cross products

9*x = 1(x+9)

9x = x+9

Subtract x from each side

9x-x = x+9-x

8x = 9

Divide by 8

8x/8 = 9/8

x = 9/8

Take the triangle as,

→ AB/AD = BC/ED

→ x/x+9 = 1/9

Now by using cross products,

→ 9 × x = 1(x+9)

→ 9x = x+9

Now subtract x from both sides,

→ 9x-x = x+9-x

→ 8x = 9

Then divide by 8 from both sides,

→ 8x/8 = 9/8

→ x = 9/8

So, the value of x is 9/8.

Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was more than the sum of Jan's and Maxim's scores. What could be Peter's least possible score?

Answers

Answer:

135

Step-by-step explanation:

Given that :

Total score obtained by Peter, Jan and Maxim = 269

Let :

Peter's score = x

Jan's score = y

Maxim's score = z

x + y + z = 269

x > (y + z)

For x to be greater Than y + z ;

Then x > (269 / 2) ; x > 134.5

The least possible x score is 135

Hence, Peter's least possible score is 135.

Find the interest on the loan using the Banker's rule. P= $8550. r=8.8%, t= 105 days The interest on the loan using the Banker's rule is $​

Answers

The answer is $9474 because if you add p with r and multiple it by t you get 9474

What is the L.C.M of 4,6and 3​

Answers

Answer:

12

Step-by-step explanation:

12

For 3, 4 and 6 the smallest number which would be perfectly divisible by them is their LCM which is 12.

Have a nice day!

Answer:

12

Step-by-step explanation:

We want to find the least common multiple of 4,6,3

4:

4,8,12,16,20

6:

6,12,18,24

3:

3,6,9,12,15

The first number that appears in all 3 lists is 12

Pls answer , If you do tysm

Answers

Answer:

Step-by-step explanation:

ypu bhave to mulitply each by a percentage, for example, the percentage it says you mulitply it by

Find the equation of line b in​ slope-intercept form. Line a is parallel to line b. Line a passes through the points (1,8) and (2,-1), line b passes through the point (4,13)

Answers

9514 1404 393

Answer:

  y = -9x +49

Step-by-step explanation:

The slope of line b is the same as the slope of line a. That can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -8)/(2 -1) = -9

The y-intercept can be found from the given point using the formula ...

  b = y - mx

  b = 13 -(-9)(4) = 13 +36 = 49

Then the slope-intercept equation of line b is ...

  y = -9x +49

8. What is the domain and range of the graph below?

Answers

Answer:

Domain: [-5, 4]

Range: [-5, 0] U (2, 4]

Step-by-step explanation:

The domain encompasses whatever the input (in this case, the horizontal values) can be and the range is what the output (in this case, the vertical values) can be.

As shown on the graph, all horizontal values including and between -5 and 4 are used on the graph. It does not matter that they are on two separate lines. Therefore, the domain is [-5, 4]. Note that the closed brackets signify that -5 and 4 are used

The y values used in the bottom line range from -5 to 0, and in the top one they range from 2 to 4 (not including the 2, as shown by the open circle). Therefore, the bottom range is [-5, 0] and the top range is (2, 4]. We can combine these to say the range is [-5, 0] U (2, 4]

The diameter of the circle is 2”. What is the area of the circle

Answers

Answer:

[tex]\pi[/tex]

Step-by-step explanation:

1. 2/2 =1 1 is the radius

2. [tex]A = \pi r^2[/tex]

3. [tex]A=\pi 1^2[/tex]

4. [tex]A=\pi[/tex]

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