A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?

Answers

Answer 1

Answer:

The correct solution is "0.127128".

Step-by-step explanation:

The given values are:

p = 0.31

n = 20

Now,

[tex]p(8<x<12)=p(x=9)+p(x=10)+p(x=11)[/tex]

                     [tex]=20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}[/tex]

[tex]=0.074955+0.037043+0.015130[/tex]

[tex]=0.127128[/tex]


Related Questions

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

Find the critical t-value for a 98% confidence interval estimation if the sample size equals 11. (Round your solution to 4 decimal places)

Answers

Answer:

2.764

Step-by-step explanation:

Critical value = tα/2, degrees of freedom

Degrees of freedom = n - 1

n = 11

Degrees of freedom = 11 - 1

= 10

tα/2 = 100 - 98%/2

= 2%/2

= 1%

= 0.01

Critical value = 0.01, 10

Using the Critical T value table, the Critical T value for

two tails( a degree of significance of 0.02 and degree of freedom of 10) or one tail (0.01, 10) = 2.764

The set {1,2,3,4,...} is called the set of

Answers

This is an example of a finite set

I hope this is the answer you're looking for :)

solve the following equation 5+7=11+7

Answers

Answer:

The equation, 5+7=11+7 solved step by step is:

5 plus 7, which equals 12.

And then, 11 plus 7, which equals 18.

You put it all together, it turns into 12=18 which isn't true.

So, your problem is not real.

Step-by-step explanation:

Your question has no answer because the two sides aren't equal.

Hope this helped! :)

Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2

Answers

To figure this out plug in 4 for x

f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3

Hope this helps!

Ivan has 32 baseballs and 48 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Ivan can make

Answers

Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.

Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:

48 = dividend

32 = divisor

 

Step 1:

Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:

             

 3 2 ⟌ 4 8  

Step 2:

The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 2 ⟌ 4 8  

Step 3:

Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.

       0    

 3 2 ⟌ 4 8  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 2 ⟌ 4 8  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 6:

The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 7:

Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

     - 3 2  

       1 6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 48 divided by 32 calculated using Long Division is:

1

16 Remainder

What is the answer to -1x(-2)

Answers

Answer: 2x

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?

Answers

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

Got a #30 question math quiz paying $10 anyone , send your socials or #

Answers

This sounds sus to me ┐( ̄ヘ ̄)┌

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

Name all rays with endpoint E

Answers

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

brainly.com/question/13322477

#SPJ2

Find the integers that are closest to 65 (the number in the middle)

Answers

Step-by-step explanation:

Divisors of the Positive Integer 65:

1,5,13,65

Sum of all the Divisors of 65, including itself:

84

Sum of the Proper Divisors of 65:

19

Properties of the number 65:

The integer 65 is an odd number.

The integer 65 is a Composite number.

19 is less than 65, so 65 is a deficient number.

Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?

Answers

Answer:

4

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour

Answers

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

How many 2/3 go into 4

Answers

Answer:

it goes into 4, 6 times

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]  ÷  [tex]4[/tex]

Hope this helps

Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?

Answers

Answer:

312 $

Step-by-step explanation:

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours

Answers

Answer:

4250 km

Step-by-step explanation:

If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.

4080km + 170km= 4250 km

Given : An airplane cover 1020km in an hour.

To Find : How much distance will it cover in 25/6 hours .

Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .

Now , it is asked to find that how much distance it will cover in 25/6 hours .

Here ,

Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .

★ We know a relation between speed , distance & time as ,

[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]

⇒ Distance = Speed × Time .

⇒ Distance = 1020km/hr × 25/6 hr .

Distance = 4250 km .

Hence the distance travelled is 4250km.

A triangle has two sides of length 2 and 15. What compound inequality describes the possible
lengths for the third side, X?

Answers

Answer:

13<X<17

Step-by-step explanation:

Triangular Inequalities state that a side is always greater than the absolute value of the difference of the other two sides and less than the sum of the other two sides. You use the inequality |a-b|<c<a+b with a, b, and c as the lengths of the sides.

When you plug in the numbers, (X being c, 2 being b, and 15 being a) you get

|15-2|<X<15+2

|13|<X<17

Which brings us to our final answer of:

13<X<17

7 + (−3) simplify
please

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

When you add a negative number, you're basically subtracting it.

7 - 3 = 4

Hope this helps! Good luck :)

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP

Answers

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width


Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48

Answers

Answer:

your new should be c $20

The final cost is $30.

Option C is the correct  answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The original price of the coat = $50

Discount = 40%

Now,

The final cost.

= (100 - 40)% of 50

= 60% x 50

= 60/100 x 50

= $30

Thus,

The final cost is $30.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

What’s 1 times 5 times 2?

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

I need help !!!!!!!

Answers

Solution (5) :

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Solution (6) :

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))

A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.

Answers

Answer:

hh

Step-by-step explanation:

JHWKHvksdhvdsjKdsk

What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?

Answers

There are 9 digits 1-9.
There is a total of 4,693 digits in the book.

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Answers

Answer:

96

Step-by-step explanation

4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) = 12(8) = 96

7(5 - 2)(5 - 5) = 0

- 6(5 - 3)(5 - 5)= 0

96+0-0 = 96

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Which toy pack has a cost of \$2.50$2.50dollar sign, 2, point, 50 per toy

Answers

Answer:

yoyo

Step-by-step explanation:

Answer: the answer is yo-yo

Step-by-step explanation:

because they say the 6-yo-yo cost 15 dollars. So if you take 6 and multiply it by 2.5 it gives you 15 dollars. Hope this helps

How many proportional relationships are shown in the coordinate plane below? Please answer quick

Answers

Answer:

The answer is 1

Step-by-step explanation:

There is 1 proportional relationship in the graph

It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

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