Use the normal distribution to approximate the following binomial distribution. A recent survey indicated that 55% of the people in a certain community own a motorcycle. If 35 people from this community are chosen at random, what is the probability that fewer than 23 own a motorcycle?

Answers

Answer 1

Answer:

0.86 (Approx)

Step-by-step explanation:

Given:

n = 35

P = 55% = 0.55

Q = 1 - p = 0.45

Computation:

Standard deviation σ = √npq

Standard deviation σ = √(35)(.55)(.45)

Standard deviation σ = 2.9432

Mean μ = np = 35 x 0.55 = 19.25

p[(x-np)/ σ ]

P[z<1.04204]

= 0.86 (Approx)


Related Questions

What is the circumference, in feet, of the circle. Round to the nearest tenth

Answers

Hello,

Let’s solve this! To find the circumference use square root, first take root1.5. Which is 1.2
Hope this helps!

Answer: 4.7 ft

Step-by-step explanation:

Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.

C=3.14(d)

1.) Insert the numbers into the formula: C= 3.14*1.5

You’ll get 4.71 as your answer.

Next round to the nearest tenth and you’ll get 4.7.

Hope this helps!

PLEASE HELP ITS DUE TODAY!!

Answers

Answer: 3xy2 and 8xy2

-3x2 and 1/2x2

X2y and 5x2y

Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup

Answers

1 liter= 1000 ml
1000ml split between 10 cups (1000 divided by 10)

100 ml is the answer

HELP ME PLEASEEEEEEEE

Answers

Answer: Gas

Explanation: Gas is a colorful comment in the galaxy that is found between stars.

Hope that helped! Happy holidays.

HELPPPPPP
I need to know if those questions are true or false! Please helpppp

Answers

Answer:

Ture

Step-by-step explanation:

The answer help pls fast

Answers

Answer:

x = 26

2x = 52

(5x - 2) = 128°

Step-by-step explanation:

✔️According to the exterior angle theorem of a ∆, thus:

(5x - 2)° = 2x° + 76°

Solve for x

5x - 2 = 2x + 76

Collect like terms

5x - 2x = 2 + 76

3x = 78

Divide both sides by 3

x = 26

✔️2x

Plug in the value of x

2(26) = 52°

✔️5x - 2

Plug in the value of x

5x - 2 = 5(26) - 2

= 128°

Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96

Answers

Answer:

-24.35, -7.96, 11.20

Step-by-step explanation:

Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.

Positive is bigger

Negative is smaller

*EXTRA*

negative plus negative = positive

negative plus positive = negative

negative times negative = positive

negative times positive = negative

Hopefully you will understand!

I need help with HW it is hard (repost i forgot picture)

Answers

Answer:

b 8 hours

Step-by-step explanation:

1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer

2x/5 + 5/8 = 1/4 help

Answers

[tex] \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} [/tex]

[tex] \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2 - 5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{ - 3}{8} [/tex]

[tex]2x = \frac{ - 3}{8} \times 5[/tex]

[tex]2x = \frac{ - 15}{8} [/tex]

[tex]x = \frac{ - 15}{8} \div 2[/tex]

[tex] x = \frac{ - 15}{8} \times \frac{1}{2} [/tex]

[tex]x = - \frac{ 15}{16} [/tex]

PLEASE HELP ASAP
How do you find the total for a purchase if there is sales tax?

Answers

Answer:

Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest

Answer:

just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator

Please give me the correct answer ​

Answers

Answer: Choice B) The plane is at least 20 times faster than the bird

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

Explanation:

We'll divide the speed of the plane over the speed of the bird.

First divide each coefficient of the scientific value expressions:

7/3 = 2.33 approximately

Then divide the 10^n exponent expressions and we get

10^3 divide by 10^2 = 10^(3-2) = 10^1

So overall, the result of dividing the two speeds leads to approximately

2.33*10^1 = 2.33*10 = 23.3

This shows the plane is approximately 23.3 times faster compared to the bird. Saying "The plane is at least 20 times faster than the bird" is fairly close to the prior sentence, so the statement is valid. That's why choice B is the answer.

Choices A and C are saying similarly valid statements, just written in different formats. I think choice B is the best answer since it seems to be the most direct comparison that is fairly easy to grasp.

7x - 2 = 9x+5
Please help!!

Answers

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

if you answer this you are a genius.

Answers

mass divided by volume = density... I dont know the exact answer but i hope this helps

Answer:

Question 1: 3380g

Question 2: 2g/cm^3

Step-by-step explanation:

I used online mass and density calculators. Hope this helps :)!

Predict the violent crime rate for a Southern state with an urbanization of 55.4 and a poverty rate of 13.7.

Answers

Answer:

The violent crime rate for this Southern state with an urbanization of 55.4 and a poverty rate of 13.7 is predicted to be:

7.6%.

Step-by-step explanation:

a) Data and Calculations:

Urbanization rate = 55.4%

Poverty rate = 13.7%

The predicted violent crime rate = urbanization rate * poverty rate

= 55.4% * 13.7%

= 7.5898%

= 7.6%

b) The prediction of violent crime rate follows some established researches that show that crime rates are higher in urban than rural areas.  There is also a dynamic link between poverty, unemployment, and crime rate.  Unemployment is usually high in more urbanized areas.  As a result, unemployment increases poverty, and poverty reinforces the commission of crimes.

A number is chosen at random from 1 to 25. Find the probability of selecting an odd number or multiples of 5. *

Answers

Answer:

Odd number: 13/25 (52%)

Multiples of 5: 5/25 (20%)

Step-by-step explanation:

There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).

The probability of selecting an odd number or multiples of 5 is 3/5

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given question,

A number is chosen at random from 1 to 25.

n(S) = 25

Let event A: selecting odd number

⇒ A = {1 , 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}

⇒ n(A) = 13

So, the probability of selecting odd number would be,

⇒ P(A) = n(A)/n(S)

⇒ P(A) = 13/25

Let event B: selecting a number which is multiple of 5

⇒ B ={5, 10, 15, 20, 25}

⇒ n(B) = 5

So, the probability of selecting a number which is multiple of 5 would be,

⇒ P(B) = n(B)/n(S)

⇒ P(B) = 5/25

Let (A ∩ B) represents the odd numbers which are multiple of 5

⇒  (A ∩ B) = {5, 15, 25}

⇒ n(A ∩ B) = 3

So, the probability of selecting odd numbers which are multiple of 5 would be,

⇒ P(A ∩ B) = n(A ∩ B)/n(S)

⇒ P(A ∩ B) = 3/25

So, the probability of selecting an odd number or multiples of 5 is,

⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(A ∪ B) = 13/25 + 5/25 - 3/25

⇒ P(A ∪ B) = 15/25

⇒ P(A ∪ B) = 3/5

Therefore, the probability of selecting an odd number or multiples of 5 is 3/5

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

I need help ASAP plsss

Answers

x would be 102° . hope it helps

Maria's Starting wage for her new job is $8.50 per hour. Each month during her first year. her hourly wage will increase by $.50. What will her hourly wage be in her 10th month on the job?
What will her wage be on the 12th moth on the job?
How much did her salary increase from starting salary to her ending salary?

Help PLEASEEEEEEEEEE

Answers

Answer:

13.50

8.50

.50

.50

.50

+ .50

.50

.50

.50

.50

.50

.50

__________

13.50

it increased 5$

How would you do this as a decimal number ?

Answers

Answer:

-5.875

Step-by-step explanation:

what is the radius of the circle?

Answers

Answer:

Step-by-step explanation:

7n + 5n2 + 10 – 7n

Simplify the expression

Answers

Answer:

10n+10

Step-by-step explanation:

7n-7n+5n2+10

5n2+10

5n*2+10

10n+10

Hope this helps :D

#Team Rainbows

In science class, Vicky did an experiment with an unknown solid. She started with 11 grams of the solid. During the experiment, the change in the mass of the solid was –4 grams. What was the final mass of the solid To solve the problem, Jamal subtracted 11–(–4) and came up with an answer of 15 grams. Is Jamal correct? Why or why not?

Answers

Step-by-step explanation:

In this following excerpt,

We know that jamal wants to know the final mass, for this to be solved. We have to add the initial mass (11) to the change in the mass i.e, [-4] for this to be qualified as the final mass we are supposed to add the 11 to the -4, i.e, (11+(-4).)

Answer:

All in all the statement to support this resolution is,

11 + (-4)

Appreciations and Feedback:

Brainly will be appreciated very greatly

I hope I helped you and have a Fan-tastic Day!✨✨✨

Please answer this is my last assignment for the semester

Answers

Answer:

It's C

Step-by-step explanation:

Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C

A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight

Answers

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

PLEASEEEE HELP ME!!!!!

Answers

Answer:

look it up on tiger algerbra

Step-by-step explanation:

Answer:

3 TIMES 2 DONT EQUAL 7

Step-by-step explanation:

Solve the following system of equations using a method of your choice.

Write the solution as an ordered pair ( , ) and then you will be prompted to explain your thinking.
4x-2y=4
x+y=10

Answers

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given parameters

Percentage of all teachers the works in summer  = 85%

Number of teachers sampled  = 6 teachers

Unknown:

The probability that they all work in summer  = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

    Number of teachers = 85% x 6  = 5.1;

  Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability  = [tex]\frac{5}{6}[/tex]

Joe is paid $7 for each hour he works. Which one shows this same ratio

Answers

Answer:

7/1

Step-by-step explanation:

I’m pretty sure that it’s 7:1

PLEASE HELP HELP HELP HELP HELP HELPPPPPP

Answers

Answer:

your picture isnt loading can you tell me the problem?

Step-by-step explanation:

The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=​

Answers

Step-by-step explanation:

Let breadth =x

Length=5x-3

As we know that in a rectangle

[tex]\boxed{\sf Area=lb}[/tex]

Substitute the values

[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]

[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]

[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]

[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]

Ignore negative value

[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]

[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]

The area
The area of a triangle ABC is 64 cm². Given AB = 11 cm and BC = 15 cm, Find ABC. Trying to find angle B.​

Answers

Answer:

  ∠B ≈ 50.9°

Step-by-step explanation:

The area formula for a triangle can be used to find the missing angle.

Area formula

We don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).

  Q = (1/2)ac·sin(B)

Unknown angle

Solving for B, we have ...

  2Q/(ac) = sin(B)

  B = arcsin(2Q/(ac)

  B = arcsin(2(64)/(11(15)) = arcsin(128/165)

  ∠B ≈ 50.9°

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