As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.592. If 8 households are selected at random, without replacement, from all US households, what is the (approximate) probability that the number having at least one VCR is exactly 4. Be sure to use many decimal places in your calculations (at least 4), but report your answer to three decimal places.

Answers

Answer 1

Answer:

0.23825

Step-by-step explanation:

Given :

p = 0.592 ; number of trials, n = 8

x = 4 ; q = 1 - p = 1 - 0.592 = 0.408

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 4) = 8C4 * 0.592^4 * 0.408^4

P(x = 4) = 70 * 0.592^4 * 0.408^4

P(x = 4) = 0.23825


Related Questions

Write an integer to represent the price of a stock dropping $3

Answers

Answer:

-3

Step-by-step explanation:

The integer which represents the price of a stock dropping $3 is ''-3''.

Here,

The price of a stock dropping is $3.

We have to show this number in form of integer.

What is Integers?

An integer is a whole number that can be positive, negative or zero.

Now,

The price of a stock dropping is $3.

Since, the price of a stock is drop,

Hence, it represents by ''- 3''

So, The integer which represents the price of a stock dropping $3 is ''-3''.

Learn more about the integers visit:

https://brainly.com/question/17695139

#SPJ2

Sandy can clean her room in 1/4 the time it takes her older brother to clean his. Sandy does the job in a half hour. How long does it take Sandy's brother to do it?

Answers

Answer:

2 hours

Step-by-step explanation:

Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours

what’s the slope ? please help , due in 20 min.

Answers

Answer:

-7/3

Step-by-step explanation:

You take two ( X,Y) points and subtract them to find the slope of the line.

23-16/-6-(-3) = -7/3

Which three-dimensional shape has 5 vertices?

A. Triangular prism
B. Rectangular pyramid
C. Triangular pyramid

Answers

Answer:

C. Triangular pyramid

Four base vertices and the upper peak vertice

I’ll give points + brainalist (:

Answers

Answer:

The right answer to the question is b

Answer:

B [tex]x \leq 1[/tex]

Step-by-step explanation:

Isolate the x.

[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]

The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.

A red line and a blue line bus both left the stadium at 4:00 p.m.

Red line buses were scheduled to leave the stadium every 6 minutes.

Blue line buses were scheduled to leave the stadium every 8 minutes.

if the buses run on schedule, when is the next time a red line and a Blue line bus will leave together?

Answers

Answer:

4:24pm

Step-by-step explanation:

To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.

To do this we can either list all the prime factors of each one and multiply the non-common ones:

6 = 2x3

8 = 2x2x2

2x2x3 = 24

OR we can list the multiples and find the lowest matching ones:

6 => 6, 12, 18, 24, 30

8 => 8, 16, 24, 32, 40

We can see that 24 is the least common factor.

This means that both busses will leave at the same time 24 minutes after 4pm.

Therefore the next time a red line and blue line bus will leave together is 4:24pm.

Hope this helped!

Use Green's Theorem to evaluate the line integral along the given positively oriented curve.

∫ c(y+e√x)dx+(2x+cosy2)dy,

C is the boundary of the region enclosed by the parabolas

y=x^2 and x=y^2

Answers

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
CONFERENCES You are sitting down at a round table with 7 chairs for a business meeting. You notice that one of the chairs is shorter than the rest. If 7 people sit down at random, what is the probability that you will end up with the short chair?

A.1/42

B.1/42

C.1/6

D.1/7

Answers

D 1/7 because only one chair is sort. Out of 7 only one person will have the short chair. 1/7 is the answer. trust me

Which statement about the linear factors and zeros of a quadratic function is always
true?

A. The constants of the linear factors are the opposite of the function's zeros.

B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.

C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.

D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.

Answers

The Answer is B: A function’s zeros can be determined by setting each linear factor equal to 0 and solving.

Find the value of x in the triangle shown below.
a.x=24
b.x=135
c.x=24
d.x=12

Answers

Step-by-step explanation:

Solution given:

By using Pythagoras law

h²=p²+b²

15²=x²+9²

x²=15²-9²

x=√144=12

x=12 is your answer

Answer

Step-by-step explanation:

hope it is helpful to you

Helppppp pleaseeeeeeee

Answers

Answer:

74 cm squared

Step-by-step explanation:

because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74

74 cm

The explanation is:

Please find the surface area

Answers

Answer:

so 3ft x 5ft would be 15ft for the top one or if its addition it would be 8ft

Step-by-step explanation:

The admission fee at an amusement park is $3.50 for children and $5.40 for adults. On a certain day, 351 people entered the park, and the admission fees collected totaled $1523. How many children and how many adults were admitted?

Answers

Answer:

Adults=155, children = 196

Step-by-step explanation:

The dimensions of an iPhone are x – 2 and x + 3. If the area of an iPhone is 14 square inches, find the dimensions of the iPhone

Answers

Answer:

The dimensions of the iphone are 2 inches by 7 inches.

Step-by-step explanation:

Given that,

The dimensions of an iPhone are x – 2 and x + 3.

The area of an iphone is 14 sq inches

We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :

[tex]A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5[/tex]

Neglecting negative value

First dimension = (x-2) = (4-2) = 2 inches

Other dimension = (x+3) = (4+3) = 7 inches

Hence, the dimensions of the iphone are 2 inches by 7 inches.

Find YZ.


Geometry, circles.​

Answers

Answer:

YZ = 44

Step-by-step explanation:

(2x - 6) × 21 = (x + 1) × 30 => intersecting chords theorem

42x - 126 = 30x + 30

Collect like terms

42x - 30x = 126 + 30

12x = 156

12x/12 = 156/12

x = 13

✔️Find YZ:

YZ = 30 + x + 1

Plug in the value of x

YZ = 30 + 13 + 1

YZ = 44

Yall please help please

Answers

The formula for volume of cone is pie r cube. Put the values in the formula

The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to complete the third step?

Answers

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

_____

It can help to keep in mind what the square of a binomial looks like:

  (x -a)² = x² -2ax +a²

The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².

Answer:

16

Step-by-step explanation:

The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

20. what is measure of

Answers

Answer:

<D = 147 degrees

AB = 14

BC = 12

Step-by-step explanation:

From the given parallelogram;

<A and <D are supplementary, hence;

<A + <D = 180

33 + <D = 180

<D = 180 - 33

<D = 147 degrees

Since AB = CD

Hence AB = 14

Also since BC = AD, BC = 12

This shows that the opposite side of the parallelogram are parallel

⚠️ Mhanifa, can you help me, please? This is due asap and I will mark brainliest :)

The image is attached. Thanks! (There are two questions.)

Answers

Answer:

The domain is the set of x-values:

x = [-4, 4]

The range is the set of y-values:

y = [-1, 2]

6
There are 6 classes going on a field trip. There are 24 students in each class.
There is another class going with 27 students.
6 equal classes
27
Which equation helps to find s, the number of students in all of the classes
going on the field trip?
А
5 = (24 x 6) x 27
B
S = 27 x 7
с
S = (24 x 7) + 27
D
S = (24 x 6) + 27

Answers

It would be S=(24x6)+27

Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12​

Answers

Answer:

3 1/2 - 1 4/6= 1 5/6

Step-by-step explanation:

What is 34 x 45 - 14x (5235+-42) / 24x

Answers

Answer:

3(2040x-4039)/4x

Step-by-step explanation:

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of minutes. Test the hypothesis that against the alternative that if a random sample of the test times of high school seniors has a standard deviation . Use a level of significance.

Answers

Complete question :

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.

Answer:

We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.

Step-by-step explanation:

H0 : μ = 35

H1 : μ < 35

Sample size, n = 20

Standard deviation, s = 4.3

xbar = 33.1

Test statistic :

T = (xbar - μ) ÷ (s /√n)

T = (33.1 - 35) ÷ (4.3 /√20)

T = - 1.9 ÷ 0.9615092

T = - 1.976

The Pvalue can be obtained from the test statistic using a Pvalue calculator :

Pvalue at 0.05 ; df = 19 is 0.0314

Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes

what is the unit rate of 10 1/3 miles per 1/6 hour
A. 60 mph B. 61 C. 62 D. 63

Answers

C. 62

Multiply 10 1/3 by 6
This equals 62 mph

Maria had $3,500 and invested it into an account with an annual
interest rate of 1.2%. If her investment were compounded monthly,
write an eqaution to find the value of her investment after t years.

Answers

Answer:

FV= $3,716.32

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Interest rate (i)= 1.2% compounded monthly

First, we need to determine the monthly nominal interest rate:

Monthly interest rate= 0.012/12= 0.001

Now, to calculate the future value after 't' months, we need to use the following formula:

FV= PV*(1 + i)^t

For example, for 60 months:

FV= 3,500*(1.001^60)

FV= $3,716.32

RT and UW are parallel lines
Which angles are corresponding angles?

Answers

Answer:

<uvx and <rxv is your amswer

Find the probability of the event that get an even number or multiple of 4, that is 4n, with given sample space S.
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

P(even# U 4n) = ?​

Answers

Answer:

4, 8, 12 2, 6, 10, 14

7/15 chance of getting even of multiple of 4

Use 4 terms of the series to approximate :

Answers

[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]

Flip a fair coin 6 times. Let X be the number of heads in the rst 4 ips, and Y be the number of heads on the last 4 ips. Find Cov(X; Y ).

Answers

Answer:

Cov ( X, Y ) = 1/2

Step-by-step explanation:

X = Number of heads in the first 4 flips

Y = Number of heads in the last 4 flips

Given that X and Y are binomial variables hence

P( probability ) = 1/2

Find Cov( X; Y )

xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4

yj = result of the  jth flip ∴ Y = y3 + y4 + y5 + y6

covariance of  xi and yi = 1/2 * 1/2 = 1/4   when i = j  and it is = 0 when i ≠ j

hence Cov( X; Y ) can be expressed as

Cov( X; Y ) = ∑[tex]_{i}[/tex]^4 ∑[tex]_{j}[/tex]^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2  (  given that i = j )  

What is the value of x?

Answers

Answer:

x = 16

Step-by-step explanation:

(8x - 16) + (3x +20) = 180

11x + 4 = 180

11x = 176

x = 16

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