sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.

For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[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:

4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]

The probability that at least one household has a television set is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

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

[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]

0.99999984 = 99.999984% probability that at least one household has a television set.

A similar problem is given at https://brainly.com/question/24863377


Related Questions

which option is right??

Answers

Side- Angle- Side
is the correct answer

hope this helps :)

Answer:

its the third choice

Step-by-step explanation:

Side angle side cuz there r 2 sides congruent in the picture shown above.

Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)

Answers

Answer:

y=2x+9

Step-by-step explanation:

I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.

can someone plz help with this FAST
I WILL MARK BRAINIEST

Answers

Answer:

A. 1.56

Step-by-step explanation:

[0(3) + 1(9) + 2(10) + 3(2) + 4(1)] / [3 + 9 + 10 + 2 + 1]

Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61

Answers

Answer:

  $31,384.28

Step-by-step explanation:

If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...

  y = 10000(1.1^x)

For x=12, the value of the investment is predicted to be ...

  y = 10,000(1.1^12) ≈ 31,384.28

The value of the investment 12 years after purchase is predicted to be $31,384.28.

__

In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.

The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle

Answers

Answer:

2 ( 2y + 5 )

Step-by-step explanation:

→ Take out 2 as a factor

2 ( 2y + 5 )

Answer:

A = 2(2y + 5)2 and 11 (when y = 3)

Step-by-step explanation:

The area equation is:

A = lw

Given:

A = 4y + 10

This can be factored as:

A = 2(2y + 5)

Let y = 3, then the dimensions are:

2 and 2*3 + 5 = 11

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.

Step-by-step explanation:

(-4) ⁴ what is the value of this expression

Answers

256 is the answer of this expression

which sets does -8/9 belong to

Answers

Answer:

all of the above

Step-by-step explanation:

Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?

Answers

Answer:

D IS THE ANSWER

Step-by-step explanation:

HOPE IT HELPS

Solve for k:

k + 6 > -37

Answers

Answer:

[tex]\sf k + 6 > -37[/tex]

[tex]\sf k+6-6>-37-6[/tex]

[tex]\boxed{\sf k>-43}[/tex]

Answer:

Subtract 6 from both sides:

K +6 - 6 > - 37 - 6

Simplify the arithmetic:

k > - 37 - 6

Simplify the arithmetic

k > - 43

A club with 26 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Answers

Answer:

9,687,600

Step-by-step explanation:

27P5

= 27!/(27-5)!

= 27!/22!

= 27*26*25*24*23

= 9,687,600

1. Find the value of y that corresponds to x = 5 :
y = - 4 + 5(x + 6)

Answers

Answer:

X=5

y= -4+5(5+6)

y= -4+25+30

y= -4+55

y = 51

how many ten thousand are in 1,000,000?​

Answers

Answer:

100

Step-by-step explanation:

10,000 * 100 = 1,000,000

So there are 100 ten thousands in 1,000,000

A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.

BRAINLIEST HELP PLS !!!!!

Answers

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

=2000000

So ratio is 1:2000000

MARK ME BRAINLIEST PLS!

Answer:

1:2000000.

Step-by-step explanation:

1 km = 1000m = 100*1000

= 100,000 cm

20 km = 2,000,000 cm.

Select the geometric figure that correctly matches with the following formula:

A=[tex]\pi r^{2}[/tex]

Answers

Answer:

Circle

Step-by-step explanation:

The area of a circle is

[tex]\pi r^{2}[/tex]

A. circle

The area of a circle is 2[tex]\pi[/tex]

What is the formula for the circle?

The Circle Formulas are expressed as,

the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]

The collection of all points equidistant from a fixed point in a plane is called a circle.

the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.

Learn more about Area of a Circle here

https://brainly.com/question/402655

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simplify -4y+8y answer quick pls

Answers

Step-by-step explanation:

-4y + 8y = 4y

it is the same as -4 + 8 = 4

Answer:

4y is the answer.

Step-by-step explanation:

Since there is like variables, we can add -4y and 8y.

=> -4y + 8y = 4y.

Therefore, 4y is the answer. Hoped this helped.

if 1/2x + 6 = -x -3, what is the value of -2x?

Answers

Answer:

12

Step-by-step explanation:

Hi there!

We are given the following equation:

1/2x + 6 = -x-3

And we want to find the value of -2x

First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x

Start by adding x to both sides to remove -x from the right side

1/2x + 6 = -x -3

+x            +x

_______________

3/2x+6=-3

Subtract 6 from both sides to remove it from the left side

3/2x=-9

Multiply both sides by 2/3 in order to clear the fraction

x=-6

Now substitute -6 as x into -2x

-2x

x=-6

-2(-6)=12

Hope this helps!

Simplify the expression
( 3n • 2n^3)^2

Answers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

Of 90 gallons of water the average person uses each day, 30% is used outdoors. Mason wants to know how much water is used outdoors. How much water is used outdoors.

Answers

Answer:

The Awnser is 27 for both I did that I-ready before

Step-by-step explanation:

Answer:

27 for both blanks

Step-by-step explanation:

I just did it on iready and I got it correct

The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
cookies, how many cups of sugar are required in order to make 24 cookies?

Answers

Answer:

10 cups

Step-by-step explanation:

The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.

What is an arithmetic operation?

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data provided in the question,

3 dozen = 12 × 3 = 36 cookies.

2 cups of sugar are required to make 36 cookies

Let x cup of sugar is required to make 24 cookies.

36 cookies = 2 cups

24 cookies = x cups

Cross-multiply both the equations above

x = (24 × 2)/36

x = 1.33 cups.

To know more about arithmetic operations:

https://brainly.com/question/13585407

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The mass of Earth is approximately 6 x 10^27 that of the Sun is 330,000 times as much. The gravitational constant is 6.7 x 10^-8 cm/s2.g. The distance of Earth from the Sun is about 1.5 x 10^12 cm. Compute, approximately, the work necessary to increase the distance of Earth from the Sun by 1 cm.​

Answers

Answer:

12.89

Step-by-step explanation:

ititiiitiiiuuyhgtfvnmmnhhnjijli

Derivative this Problem.

Answers

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]

[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]

[tex]\\ \sf\longmapsto 2(1)[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Step-by-step explanation:

[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]

[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]

[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]

[tex] = \tt1 + 1[/tex]

[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]

Tim bought 3 pens and 5 pencils at the school store. The pens and pencils
were the same price. He also bought 2 erasers for 50¢ each. He spent $5 total
at the school store. How much is a pen or pencil at the school store?

Answers

Answer:

The answer to " How much is a pen or pencil at the school store?" is $0.5

Step-by-step explanation:

3+5=8

-1.00 for erasers

total cost now =4

4/8= $0.5

total cost of everthing =5

find the value of the angles marked 'x' and 'y' ​

Answers

Answer:

x=120 y=60

Step-by-step explanation:

Interior angle of a hexagon = 120

Straight line = 180

180-120=60

Solve 3h+g=5h-hg for h

Answers

Answer: [tex]h=\frac{-g}{g-2}[/tex]

Step-by-step explanation:

Let's solve for h.

[tex]3h+g=5h-hg[/tex]

Step 1: Add [tex]gh[/tex] to both sides.

[tex]g+3h+gh=-gh+5h+gh[/tex]

[tex]gh+g+3h=5h[/tex]

Step 2: Add [tex]-5h[/tex] to both sides.

[tex]gh+g+3h+-5h=5h+-5h[/tex]

[tex]gh+g-2h=0[/tex]

Step 3: Add [tex]-g[/tex] to both sides.

[tex]gh+g-2h+-g=0+-g[/tex]

[tex]gh-2h=-g[/tex]

Step 4: Factor out the variable [tex]h[/tex].

[tex]h(g-2)=-g[/tex]

Step 5: Divide both sides by [tex]g-2[/tex].

[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

[tex]h=\frac{-g}{g-2}[/tex]

Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1

degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?

Answers

Answer: 13 1/3 degrees per hour

Explanation: 10/3 x 4 = 40/3

40/3 = 13 1/3

Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.

Answers

Answer:

79.04 liters

Step-by-step explanation:

20.8 x 3.8 = 79.04

Answers:
A. 113 cm^3
B. 141 cm^3
C. 565 cm^3
D. 126 cm^3

Answers

Answer:

b

Step-by-step explanation:

Rachel invests $25,000 at age 25. She hopes the investment will be worth $125,000 when she turns 50. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.

Answers

The rate of growth will she need to achieve her goal is 2.8%

The formula for finding the compound amount is expressed as:

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount invested = $25000

t is the time in years = 25 years

A is the amount = $125000

r is the rate in %

Substitute the given parameters into the formula to have:

[tex]125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\[/tex]

Hence the rate of growth will she need to achieve her goal is 2.8%

Learn more about compound amount here: https://brainly.com/question/18442810

Determine whether the points p1 (6,9,7), p2(9,2,0), and p3(12,-5,-6) lie on the same line

Answers

Answer:

They are not.

Step-by-step explanation:

Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.

[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]

At this point we have at least three options:

Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.

Calculate the cross product between the two, if it's non-zero the three point are not in a line.

Try to determine the plane passing for the 3 points: if we find one they are not in a line.

Option 1:

The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:

[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]

So the three points are not in a line.

Option 2:

Let's calculate the cross product of the two vectors we found at the beginning.

[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]

Since the result is not the null vector, the three points are not in a line.

Option 3:

Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.

[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]

Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line

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