According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92

Answers

Answer 1

Answer: B. 4.11

Step-by-step explanation:

Using Binomial distribution  ( as the arrival times of workers are independent).

Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.

As per given ,

p= 0.06, n=300

Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]

[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]

Hence, the correct option is B.


Related Questions

12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.​

Answers

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

Solution:

We have,

Distance = 150 km

Time = 3 hours.

In this case speed is the unit rate.

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Substituting the given values, we get

[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]

[tex]Speed=50\text{ km/h}[/tex]

Therefore, the unit rate is 50 km/h.

Please help me solve my problem!!!

Answers

180-80=100

360-(100+120+65)= 75 degrees

Write an equation to match the situation below. Then, use your equation to solve for the variable.
Haley received $278.25 in her paycheck for working h hours this week. She makes $13.25 per hour.
I

Answers

The equation is:
13.25h = 278.25

Solve for h in this case by dividing 278.25 by the 13.25 dollars per hour.

The answer will be:
21 hours

Pam is placing a bird feeder in a tree in her back yard. She first needs to put up a 10-inch wooden platform in the fork of two tree branches that make a 52° angle, as shown below. What equation can Pam use to determine xthe distance up the tree trunk from the fork at she should drill attach the platform?

Answers

Answer:

[tex]x = \frac{10}{\tan(52^o)}[/tex]

Step-by-step explanation:

Given

See attachment for illustration

Required

Equation to find x

The relationship between angle [tex]52^o[/tex] and side lengths x and 10 inches is by tangent formula which is given by:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(52^o) = \frac{10}{x}[/tex]

Make x the subject

[tex]x = \frac{10}{\tan(52^o)}[/tex]

simplify 3(2x+4y-y) i need help with that please

Answers

First simplify the like terms.
3 (2x+3y)
Now multiply 3 by 2x then 3 by 3y
6x + 9y
And that is the final answer

What’s the answer?? Pls help

Answers

Answer:

11

Step-by-step explanation:

w

A common factor of 3k and 18 that is greater than 1 is

Answers

Answer and Step-by-step explanation:

A common factor of 3k and 18 is 3.

3 goes into both of these numbers, and is greater than 1.

#teamtrees #PAW (Plant and Water)


A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?

Answers

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096

Answers

Answer:

1/(4^(n-1))

Step-by-step explanation:

if you start at zero then this should be the solution

Choose the appropriate value for LR for the following similar triangles given below.
A. 18
B. 20
C. 12
D. 14

Answers

B. 20. LR is similar to side LN










A retail store served 923 customers in October, and there were 45 complaints during that mo
What is the experimental probability that a customer complains?
Let's try that again

Answers

Answer:

Experimental probability [Customer complains] = 45 / 923

Step-by-step explanation:

Given:

Total number of customer in store = 923 customers

Total number of complaints in October = 45 Find:

Find;

Experimental probability [Customer complains]

Computation:

Probability of an event = Number of favorable outcomes / Total number of outcomes

Experimental probability [Customer complains] = Total number of complaints in October / Total number of customer in store

Experimental probability [Customer complains] = 45 / 923

The answer of the puzzle is?
PLEASEEE HELPPP ILL MARK BRAINLY

Answers

Step-by-step explanation:

this is the first time ⏲️has a very

What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2

Answers

Answer:

x = 7.2

Step-by-step explanation:

a² + b² = c²

x² + (19.2/2)² = (24/2)²

x² + 9.6² = 12²

Subtract 9.6² from both sides

x² = 12² - 9.6²

x² = 51.84

x = 7.2

If I have a right triangle ab=12 and ac=15 what is BC

Answers

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

HELP ASAP

Distinguish whether the following expression has like terms and identify them. If it does, separate the like terms from the rest of the terms and organize the expression so that you can combine the like terms. Combine the like terms and write the word in simplest form. Show all of your work.

-3x3z2 + 2xz + 4x3z2 − 2x2z3

Answers

Answer:

sdfgfgav

Step-by-step explanation:

Please help I need it!!!

Answers

Answer:

I think it is the first one i think

Step-by-step explanation:

3x-y=-1. X-2y=-12 solve by using graphing

Answers

Answer:

x = 2

y = 7

Step-by-step explanation:

Graphing calculators are everywhere but ok.

I attached a graph.

Find the solution of y = 6x + 1 for x = 5

Answers

Answer:

y equals to 31

Step-by-step explanation:

6(5) = 30

30+1 = 31

Which of the following best describes the graph below?

Answers

Your picture is black ?
The screen is dark so i cant see it

Triangle ABC is shown on the grid below. Which value best represents the length of AB

Answers

Answer:

Lenght us 6

Step-by-step explanation:

A line segment joins points P(-1, -7) and Q (7, 3) Determine the length of PQ to 1 decimal place?

This unit is square roots and Pythagorean Therorum. ​

Answers

Answer:

12.8 units

Step-by-step explanation:

PQ=(X2-X1)²+(Y2-Y1)²

=(7-(-1))²+(3-(-7)

=164

then find square root of 164 that gives you 12.8units

answer?? please answer

Answers

Answer:

The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2

Step-by-step explanation:

✔️Find the equation of Function A:

To do this, find the y-intercept (b) and slope (m):

Slope (m) = change in y/change in x

Using (4, 13) and (5, 17),

Slope (m) = (17 - 13)/(5 - 4) = 4/1

m = 4

To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b

13 = 4(4) + b

13 = 16 + b

13 - 16 = b

b = -3

To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b

Thus:

y = 4x - 3

Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3

Thus:

y = 4(2) - 3

y = 8 - 3

y = 5

✅The y-value of Function A when x = 2 is 5

✔️Equation for Function B is given as,

y = ½x + 1

Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1

Thus:

y = ½(2) + 1

y = 1 + 1

y = 2

✅The y-value of Function B when x = 2 is 2

Therefore, the correct statement is:

The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2

ANSWER PLEASE!!!!!!!!!!!!!

Answers

Answer:

It would be a negative linear association if not then nonlinear association.

Step-by-step explanation:

explicit formula for an the nth term of the sequence 38,48,58

Answers

Answer:

10n + 28

Step-by-step explanation:

a + d (n-1)

a = 38

d = 10

38 + 10 (n-1)

38 + 10n -10

10n +38 - 10

10n + 28

Hope this helps!

write an integer for this situation

1 . $50 deposit

Answers

50 i think i need points lol
answer: 50
explanation: integers are numbers that can be written without a fraction or decimal. so if it was a withdrawal of $50 the integer would be -50 but a deposit would be a positive 50.

hope this helps

Soduko help please show work please answer BORH questions

Answers

Answer:

Step-by-step explanation:

Lebron has committed to a new workout plan at the beginning of January. He begins by doing 10 pushups on January 1 and will increase the number of pushups by 2 each day. How many pushups will he do on January 31? Show your calculations.​

Answers

Answer:

ok so if he starts by doing 10 and does 2 evrey day that means he will be doing 70 push ups on the last day of the month since

2*30+10=70

I'll give you more points but you have to answer all the parts to the question. I need this plsssss ty lol. Show all work too plssss.

Answers

Answer:

a) 34mi

b) 10mi

c) 44mi

d) by Calculating the amount of miles it would take John to go to school plus the amount of miles it would take Sara to go to school. Then add the sum of the amount of miles it took for both to go to school.

Step-by-step explanation:

a) explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]16^2+30^2=c^2[/tex]

[tex]256 + 900 = c^2[/tex]

[tex]c^2=1156[/tex]

[tex]\sqrt{1156}=34mi[/tex]

b) explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]6^2+8^2=c^2[/tex]

[tex]36+64=c^2[/tex]

[tex]c^2=100[/tex]

[tex]\sqrt{100} =10mi[/tex]

c) explanation: we already have all the data from John's house to Sara's House.

John's House to Sara's House = John's House to School + Sara's House to School.

Sara's House to School (Question #1) = 34mi

John's House to School (Question #2) = 10mi

34(mi) + 10(mi) = 44(mi)

d) explanation: explanation is on the answer

Luke listens to the three most popular songs on the radio this week. The length of each song is shown
#1 song: 3 minutes
57
#2 song
2 minutes
60
3
#3 song: 45 minutes
4
What is the length of the three songs altogether?
minutes
You may use the scratchpad to show your work.
Enter your answer as a fraction.

Answers

Answer:

51.97.

not sure if this is correct.

Step-by-step explanation:

A submarine first went down 725 feet below sea level. It then went up 150 feet. What was the final depth of the submarine?

Answers

Answer:

575 feet

Step-by-step explanation:

the final depth = 725-150= 575

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