The probability a car salesman sells a car to a customer is 0.05

Assuming the salesmen sees 16 customers in a week, what is the probability he sells less than 3 cars?

Write answer using three decimal places

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.957 = 95.7% probability that he sells less than 3 cars.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The probability a car salesman sells a car to a customer is 0.05, hence p = 0.05.The salesmen sees 16 customers in a week, hence n = 16.

The probability he sells less than 3 cars is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.05)^{0}.(0.95)^{16} = 0.4401[/tex]

[tex]P(X = 1) = C_{16,1}.(0.05)^{1}.(0.95)^{15} = 0.3706[/tex]

[tex]P(X = 2) = C_{16,2}.(0.05)^{2}.(0.95)^{14} = 0.1463[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4401 + 0.3706 + 0.1463 = 0.957.

0.957 = 95.7% probability that he sells less than 3 cars.

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Answer 2

question

he probability a car salesman sells a car to a customer is 0.05

Assuming the salesmen sees 12 customers in a week, what is the probability he sells less than 3 cars?

Write answer using three decimal places

Answer:

Step-by-step explanation:


Related Questions

There was a carton of 27 bottles of water at the beginning of a sports meet. The carton, with 27 bottles of water in it, weighed 11.53 kg. After the sports meet had ended, there were 24 bottles of water left in the carton. The carton then weighed 10.33 kg. What would be the mass of the carton in grams if it were to be empty?​

Answers

Answer:

is the ans 0.73

Step-by-step explanation:

is the ans 0.73 gram and time xa ra

The mass of the carton in grams if it were to be empty is 530 g

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let us find the weight of one bottle of water.

We have to  subtract the weight of the carton with 27 bottles from the weight of the carton with 24 bottles

11.53 kg - 10.33 kg = 1.20 kg

So, the weight of 3 bottles of water is 1.20 kg.

Divide 1.2 by 3 to find the weight of one bottle of water

1.20 kg / 3 = 0.4 kg

Now the weight of the empty carton

Subtract the weight of 27 bottles from the weight of the carton with 27 bottles:

11.53 kg - 27(0.4 kg) = 0.53 kg

Convert the weight of the empty carton from kilograms to grams:

0.53 kg × 1000 g/kg = 530 g

Therefore, the mass of the carton in grams if it were to be empty is 530 g

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Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?

Answers

Answer: 6 hours and 25 min

Step-by-step explanation:

The points (-7,3) and (-3,r) lie on a line with slope 4 . Find the missing coordinate r.

Answers

Answer:

r = 19

Step-by-step explanation:

calculate the slope using the slope formula and equate to 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 3 ) and (x₂, y₂ ) = (- 3, r )

m = [tex]\frac{r-3}{-3-(-7)}[/tex] = [tex]\frac{r-3}{-3+7}[/tex] = [tex]\frac{r-3}{4}[/tex] , then

[tex]\frac{r-3}{4}[/tex] = 4 ( multiply both sides by 4 )

r - 3 = 16 ( add 3 to both sides )

r = 19

CAN ANYBODY PLEASE HELP ME FOR BRAINLIEST, I'VE BEEN ASKING FOR DAYS AND POSTING DAILY THE SAME QUESTION :(

There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.3% each year.

Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.

Write an exponential function showing the relationship between y and t.

Answers

Answer:  [tex]y = 650(0.907)^t[/tex]

This is the same as writing y = 650(0.907)^t

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

Explanation:

Exponential equations can be of the form y = a*b^t

a = initial amountb = growth or decay factor

In this case, we have

a = 650 mg to start withb = 1 - 0.093 = 0.907 as the decay factor

If we had exponential growth, then we'd compute 1 + 0.093 instead.

Based on those values, we go from y = a*b^t to y = 650(0.907)^t which is the same as writing [tex]y = 650(0.907)^t[/tex]

Other exponential forms are possible, but I think this form is the most intuitive. The 0.907 means that 90.7% of the sample remains after each year.

A stamp cost 25 kobo, how many Stamp can a man buy with 2.85 Naira

Answers

Answer:

11 stamps approximately

Step-by-step explanation:

convert 25 Kobo to naira

which is 25/100 = 0.25 naira

therefore, a stamp will cost 0.25 naira.

number of stamps the man can buy with 2.85 naira will be 2.85/0.25 =11.4 stamp

which is 11 stamps (approximately)

What fractions are less than 5/6

Answers

Answer:

4/6 and lower.

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation: The fraction with numerator as 16/3 and denominator 8 becomes 2/3 which is less than 5/6.

Determine if true:
3x8-63=-39

Answers

Answer:

True

Step-by-step explanation:

3x8=24

24-63=-39

39=39

Hence, the equation is true.

Answer:

The answer is true.

Step-by-step explanation:

3 x 8 = 24

24 - 63 = -39

Hope this helps. :)

What is the perimeter of a square if it has an area of 10 sq. cm.​

Answers

Answer: [tex]4\sqrt{10}[/tex] cm

Step-by-step explanation:

The area of the square is equal to the side length^2.

We can let s be the length of the side.

Therefore, s^2 = 10 cm^2

Square root both sides:

s = [tex]\sqrt{10}[/tex] cm

The perimeter of a square is 4 multiplied by the side length.

Therefore, the perimeter of the square is 4s = [tex]4\sqrt{10}[/tex] cm


The probability that Sue will go to Mexico in the winter and France in the summer is 4/10. The probability that
she will go to Mexio in the winter is 6/10. Find the probability that she will go to France this summer, given that
she just returned from her winter vacation in Mexico.

Answers

Answer:

40%

Step-by-step explanation:

4 / 10 = 40%

What should be the index of x so that the value of x so that it's value will be equal to 1?

Don't spam okie​

Answers

Answer:

In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.

For example:-

Divide 4 by 4.

Here,

[tex] \frac{4}{4} = 1[/tex]

Now let solve the above examples by using the laws of indices.

[tex] \frac{4}{4} = {4}^{1 - 1} = {4}^{0} = 1[/tex]

Similarly,

[tex] \frac{ {x}^{m} }{ {x}^{m} } = {x}^{m - m} = {x}^{0} = 1[/tex]

Thus,any base with zero index is equal to 1.

We need to tell the index of x for which x will be 1 , First of all , always remember that index of a number means power of the number or to which power it's raised to, like in , 2 is raised to 3 so 3 is the index. Also we knows an identity i.e

[tex]{\boxed{\bf{\dfrac{a^m}{a^n}=a^{m-n}}}}[/tex]

Let's put , m = n

[tex]{:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}[/tex]

[tex]{:\implies \quad \boxed{\bf{a^{0}=1}}}[/tex]

Also , you should note that for a = 0 , the given expression becomes 0⁰ ,which is not defined , so the above expression is true only for [tex]{\bf{a\in (-\infty,0)\cup (0,\infty)}}[/tex]

Now , as we can replace variables , so , if we replace a by x , we get x⁰ = 1 .

Hence , the required index is 0

How many faces does the solid made from the net below have?

Answers

Answer: 8

Explanation: Every flat shape on the 3D surfaced shape is called a face so this gives us a total of 8.

What are the solutions to 9x^2-63x=0

Answers

Answer: x = 0 and x = 7

Step-by-step explanation:

9x^2 - 63x = 0.

We can factor out 9x from both terms on the left side:

9x(x - 7) = 0.

To be equal to 0, one of the terms has to be 0.

Therefore, either 9x = 0 or x - 7 = 0.

First, we solve the case where 9x = 0.

Then, x = 0.

Second, we solve the case where x - 7 = 0.

We add 7 to both sides:

So, x = 7

I need help with a math problem

Answers

ITS TOO BLURRY take a other picture

Please help with math
domain and range of a linear function that models a real world situation

Answers

The domain of the function is the amount of fuel in the airplane's tank,

The set of values of the domain is all set of real numbers from 0 to 200The range of the function is the weight of the airplane, and the set of values is all set of real numbers from 3000 to 4400

How to determine the domain and the range

The weight of the plane as a function of the amount of fuel is given as:

W=7F + 3000

The plane can take up to 200 gallons of fuel.

This means that, the domain of the function is the amount of fuel in the airplane's tank, and the set of values is all set of real numbers from 0 to 200

When F = 0, we have:

W = 7*0 + 3000

W = 3000

When F = 200, we have:

W = 7*200 + 3000

W = 4400

This means that, the range of the function is the weight of the airplane, and the set of values is all set of real numbers from 3000 to 4400

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5 books cost 21. what is cost of 7 of the same books? show working​

Answers

Answer:

$29.40

Explanation:

5 books cost $21. That means you have to divide 21 by 5 to find the price of one book, which is $4.20. Then you multiply 4.2 by 7 to find the price of 7 books. 7 x $4.20= $29.40

Hank is making chili. He uses 2/3 cup of black beans, 1/4 cup of kidney beans, and 2/3 cup of pinto beans. How many cups of beans does hank use. (use equivalent row using 1/12

Answers

Answer:

Hank uses 19/12 cans of beans.

Step-by-step explanation:

1. 2/3 X 4/4 = 8/12

2. 2/3 X 4/4 = 8/12

3. 1/4 X 3/3 = 3/12

4. 8/12 + 8/12 + 3/12=19/12

what is the product of -4 and 8.1?
a.-32.4
b.-12.1
c.12.1
d.32.4

Answers

Answer:

a - 32.4

Step-by-step explanation:

-4 * 8.1 = -32.4

First, multiply .1 by -4 and you get -.4

Then multiply 8 by -4 and get -32

Combining these,

-32 -.4 = -32.4

Answer:

a. -32.4

Step-by-step explanation:

It took a car 4 days to travel 3827 miles. What was this car's average speed, in miles per hour?

Answers

Answer:

39.864

Step-by-step explanation:

24*4=96

1827/96

=39.864

Rebecca and Joslyn go strawberry picking one Saturday morning. Both girls pick strawberries at a steady rate. The table shows the amount of strawberries Joslyn picked after certain lengths of time. Rebecca picked at a rate of 2 5 cup per minute.

Answers

The table that shows the amount of strawberry picked by Joslyn is a linear function

Rebecca's rate is greater than Joslyn's rate

How to determine the faster rate

From the table, we have the following values

(x,y) = (0,0) and (3,6)

The rate is then calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 0}{3 - 0}[/tex]

Evaluate

[tex]m = 2[/tex]

This means that:

Joslyn's rate is 2 cups per minute

From the question, we have:

Rebecca's rate is 2.5 cups per minute

2.5 is greater than 2

This means that:

Rebecca's rate is greater than Joslyn's rate

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how many ways can i choose 5 goldfish from 28

Answers

Answer:

5 3/5 or 5

Step-by-step explanation:

Because it is

Solve each expression by factoring. Match the solutions to the correct expressions.

20x^2 + 48x + 16 = 0

2x^2 - 5x -1 = -4

Answers

Answer:

Step-by-step explanation:

What is the measure of Zr?
Angles are not necessarily drawn to scale.
B
156°
4
C
0

Answers

Answer:

  24°

Step-by-step explanation:

Two angles that form a linear pair are supplementary. That is, their total is 180°.

  x° +156° = 180°

  x° = 180° -156° = 24°

Determine if true:
3x4 divided by 3*8=34

Answers

Answer:

False

Step-by-step explanation:

3x4=12

12 divided by 3=4

4x8=32

32=34

Hence, this equation is false.

find the next sequence N,b,a,o,m,o,e, ?​

Answers

Answer:

Step-by-step explanation:

Here we report the identification and characterization of a new coronavirus ... M, membrane. c, Similarity plot based on the full-length genome

Will give crown to the answer!

Answers

Answer:Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:$1948.72 - $1700 = $248.72:For partb

Step-by-step explanation:

2. Factorisation of the algebraic expression 169x2 - 52xy + 4y2​

Answers

Answer:

(13-2y)(13-2y)

Step-by-step explanation:

Algebraic identity of x^2-2ab+b^2

Yes that answer look about right

An elevator at a construction site has a maximum capacity of 2760 pounds. If the elevator operator weighs pounds and each cement bag weighs240 ​pounds, how many bags of cement can be safely lifted on the elevator in one​ trip?

Answers

Answer:

11.5

Step-by-step explanation:

divide 2760 by 240

2760/240=11.5

The correct answer is 11.5

MATH QUESTION ASAP!!!!! SCREEN SHOT DOWN BELOW

Answers

Answer:

Option 1 looks most suitable

Step-by-step explanation:

Check image below:

Brainliest please

what is the GCF 30,21​

Answers

Answer:

3

Step-by-step explanation:

First, you can list all the factors of the numbers:

30 = 1, 2, 3, 5, 6, 30

21 = 1, 3, 7, 21

The greatest factor that is in both of the numbers is 3, so that is GCF.

Hope this helped somewhat!! :]

What is the value of 2 in 304.72 in decimal form?

Answers

Answer: 0.02

Step-by-step explanation: hundreds is 0.0 and its 2 so it would be 0.02

Using place value chart value of [tex]2[/tex] in the [tex]304.72[/tex] is quals to [tex]0.02[/tex] (decimal form).

What is place value?

" Place value is defined as the value represented by each digit of a number on the basis of its position on a number."

According to the question,

Given number ,

[tex]304.72[/tex]

Place value of all digits in [tex]304.72[/tex]

Place value of [tex]4 = ones[/tex]

Place value of [tex]0 = tens[/tex]

Place value of [tex]3= hundreds[/tex]

Place value of [tex]7= tenth[/tex]

Place value of [tex]2 = hundredth[/tex]

                           [tex]= \frac{2}{100}[/tex]

                           [tex]=0.02[/tex] (decimal form)

Hence, value of [tex]2[/tex] in the [tex]304.72[/tex] is quals to [tex]0.02[/tex] (decimal form).

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