Arlen is planning a dinner party at which he will be able to accommodate seven guests. From past experience, he knows that each person invited to the party will accept his invitation with probability 0.5. He also knows that each person who accepts will actually attend with probability 0.8. Suppose that Arlen invites twelve people. Assuming that they behave independently of one another, what is the probability that he will end up with more guests than he can accommodate

Answers

Answer 1

Answer:

"0.057309921" is the correct answer.

Step-by-step explanation:

According to the question,

The coming probability will be:

= [tex]0.5\times 0.8[/tex]

= [tex]0.4[/tex]

n = 12

p = 0.4

Now,

⇒ [tex]P(X>7)=1-P(X<=7)[/tex]

Here, X = Number of guests

                    [tex]=1-binom.dist(7,12,0.4,1)[/tex]

                    [tex]=0.057309921[/tex]

Thus, the above is the correct answer.  


Related Questions

Holly cuts 2 ribbons into tenths for a craft project how many 1/10 size ribbons does she have

Answers

Answer:

Holly would have 20 1/10 sized ribbons.

Step-by-step explanation:

One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.

A bank account starts with $3.00. The amount in the account doubles every year .

Answers

Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P[tex](2^t)[/tex]

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 ([tex]2^7[/tex])

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 [tex](2^t)[/tex]

Dividing both sides of the equation by 3, we get:

512.0023333333 = [tex]2^t[/tex]

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

George rolls a six sided die. What is the possibility that he rolls a 1 or a prime Number.

Answers

Answer:

1: 16.7%

prime number: 50%

Step-by-step explanation:

divide the numbers

Answer:

2/3

Step-by-step explanation:

There are 6 possible numbers

all of the prime numbers from 1 to 6 are

2, 3, 5 ( plus 1 because this problem is counting 1 along with the prime numbers)

That is 4 numbers

4 out of 6 numbers

so there is a 4/6 or 2/3 chance that George will roll a 1 or a prme number

Last question of the day :)

Answers

Answer:

yehshjdjejrdjjej3u Rudd ixjje

maybe 10 i think but i really don’t know i need the points sis

Stuck on this one. I can’t remember the process to get the answer

Answers

the answer is 50 or D

The bars of a histogram should be shown in increasing order. true or false

Answers

Answer:

false it can be in any order but must be according to the set of data

Helppp quick! That’s the question^ please help guysss

Answers

Answer:

The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.

What value of x will make the triangles similar by the
SSS similarity theorem?

Answers

Answer:

x=28

Step-by-step explanation:

Hi there!

SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)

First, we need to find the ratio of similitude.

We need to assume that the triangles are similar.

15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)

so that means 15/20 must make the ratio of similitude

15/20 is equal to 3/4

therefore k=3/4

as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)

therefore, 21/x=k

Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)

3/4=21/x

cross multiply

3x=84

divide both sides by 3

x=28

So that means that 28 will make the triangles similar by SSS similarity

*you double check by doing 21/28 and see that it's also equal to 3/4

Hope this helps!


Part A: Estindlate the solution from the graph. -
Part B: What is the equation of each line in the system? blue line: _ and red line:

Answers

Answer:

Part A

The estimated solution of the graph is (37/29, -30/29)

Part B

The equation of the blue line is y = 0.6·x - 1.8

The equation of the red line is y = (-4/3)·x + 2/3

Step-by-step explanation:

Part A

From the given graph, we have two lines, one red and one blue line, intersecting in Quadrant IV

Given that the equation of the lines are also required, we find the solution of the graph, through the equation of the lines as follows;

The points through which the blue line passes are (-2, -3), and (3, 0)

The slope of the blue line, [tex]m_b[/tex] = (0 - (-3))/(3 - (-2)) = 0.6

Therefore, we have;

y - 0 = 0.6·(x - 3)

∴ The equation of the blue line is y = 0.6·x - 1.8

The approximate points through which the red line passes are (-1, 2) and (-2.5, 4)

The slope of the red line, [tex]m_r[/tex] = (4 - 2)/((-2.5) - (-1)) = -4/3

Therefore, we have;

y - 2 = (-4/3)·(x - (-1)) = (-4/3)·x - 4/3

∴ The equation of the red line is y = (-4/3)·x - 4/3 + 2 = (-4/3)·x + 2/3

y = (-4/3)·x + 2/3

The solution for the graph is the point where the y-values are equal

Therefore, wat the solution point, y = y, and 0.6·x - 1.8 = (-4/3)·x + 2/3

0.6·x + 4/3·x  = 1.8 + 2/3

x = (1.8 + 2/3)/(0.6 + (4/3)) = 37/29 ≈ 1.28

At the solution of the graph, y = 0.6 × (37/29) - 1.8 = -30/29

Therefore, the estimated solution of the graph is (37/29, -30/29)

Part B

From the above solution of the graph, we have;

The equation of the blue line: y = 0.6·x - 1.8

The equation of the red line: y = (-4/3)·x + 2/3

Please help. I am very confused about this problem.

Answers

jzgsgßiqhwgwgah I don't know

Answers:

number of sides = 15regular polygon name = regular 15-gon

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

Explanation:

If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.

Divide 360 over this to find that 360/24 = 15

This means the regular polygon has 15 sides.

I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.

how do you translate "six more than x is equal to four." as a equation.​

Answers

Answer:

6>x=4

hope that helps!

please mark brainiest<3

6 + x = 4

I disagree with the person above because he/she created an inequality, I think. When questions are asking to translate the words into an equation, it usually says “more than‘
to represent addition.

Pls say which one us are correct!
-SpaceMarsh

A company has designed its new packaging for products to be shaped liked the prism shown. If the cost of packaging is $0.03 per square inch, find the total cost of the package shown. (10 inches horizontally, 4 inches vertically, and 4 inches on the side)

Answers

Answer:

$5.76

Step-by-step explanation:

We solve using the formula of the area of a rectangular prism

A = 2(LW + LH + WH)

The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side

=2 × (4 × 10 + 4 × 10 + 4 ×4)

=192 square inches

If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:

1 square inch = $0.03

192 square inches = x

Cross Multiply

= 192 × $0.03

= $5.76

Find the area of the equilateral triangle when the base is 2.0 cm and the top angle is 50°

Answers

Answer:

There is an error in the question.

All angles in an equilateral triange are 60º

Someone help please, I’ll mark brainliest (look at the image) (50 points)

Answers

Answer:

S=54fr^2 T=81ft^2 U= 54 ft^2 V= 54 ft^2 W= 54 ft^2 X= 81 ft^2

Step-by-step explanation:

You got it correct, dont stress!

Mark Brainliest please

Answer :

Area of S = 6*9 = 54
Areas of T = 9*9 = 81
Area of V = 6*9= 54
Area of X= 9*9= 81
Area of U = 9*6 = 54
Area of W = 9*6 = 54
Surface area is 378 ft^3

Explanation

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.

A cuboid when opened gives the following view:

Find the volume of each figure. Round your answers to the nearest tenth, if necessary.

Answers

Answer:

The volume of the cylinder is 942 cubic kilometer.

Step-by-step explanation:

Height of the cylinder, h = 12 km

radius of the cylinder, r = 5 km

The volume of cylinder is given by

[tex]V=\pi r^2h\\\\V = 3.14\times 5\times 5\times 12\\\\V =942 km^3[/tex]

Find the length of the arc

Answers

Answer:

33 ft

Step-by-step explanation:

C = 2 r [tex]\pi[/tex]

The length of the arc is [tex]\frac{18\pi }{360}[/tex] × 210 ≈ [tex]\frac{18*22*210}{360*7}[/tex] = 33 ft .

move numbers to the lines to complete the sentence about the image A’B’C’D .

line segment A’B has the length of (blank) units , the line segment C’D’ has a length of (blank) units

2. 3. 4. 5. 6. 8.

Answers

Answer:

first blank- 2 second blank- 3 1/2 or 4 may be 3 too

Step-by-step explanation:

well when you look at the shape you can go from a to b and count the blocks which it would be 2

and you would want to do the same thing with C,D

which tessellation uses more than one type of regular polygon?

Answers

Answer:

semi-regular tessellations

Step-by-step explanation:

Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?

Answers

Answer:

V = 400 ft^3

Step-by-step explanation:

The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.

Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft)  =  400 ft^3

if a/4=2/3, then (a-4)/4 would equal
a. -2/3
b. -1/3
c. 0
d. 1/3

Answers

Answer:

b. -1/3

Step-by-step explanation:

a/4=2/3

a=8/3

(a-4)/4

(8-12)/12

=-4/12

=-1/3

Answer:

-1/3

Step-by-step explanation:

a/4=2/3

Multiply each side by 4

a/4 *4=2/3 *4

a = 8/3

(a-4)/4

(8/3 - 4) /4

Getting a common denominator

(8/4 - 12/3) /4

(-4/3)/4

-1/3

Henry is buying orange juice to make punch for a party. He can buy the juice in 32-oz cartons for $2.56 each or 48-oz cartons for $3.36 each. Which is the better value? Use the drop-down menus to explain your answer.

Answers

Answer:

the 48

Step-by-step explanation:

fairly obvious

The 48 bête kids help

Enter the value of x so that the expression (1.8a−5.7)+(xa+3.2) is equivalent to −1.6a+2.5.

Answers

Answer:

Step-by-step explanation:

ax+1.8a−2.5

Find the volume of the cube, if one face of the cube has an area of
121 sq.m.

Answers

Answer:

1331 m^2

Step-by-step explanation:

To find the volume of the cube, we should first find the length of one side's edge. The square root of 121 (the face area) gives us our edge length, 11.

Now, to find the volume of the whole cube, we use the equation V=11^3, and our result is 1331.

what is the a value of the vertex form...

y = (x - 3 )^2 - 36

Answers

Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)

Step-by-step explanation:

Kinda did it-

f(x) = 2x-1
What kind of shift is represented?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

A vertical shift down one unit.

»»————- ★ ————-««  

Here’s why:

A chart showing the rules of function transformations are shown. The equation shown is the parent function of '2x' that is shifted 1 unit down. If the number was inside the x [like (x - 1)] it would be a horizontal transformation. Since it's outside we would consider it to be a vertical shift.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

PLEASE HELP QUICKLY!!! Use the following image to answer the questions below:

Answers

I think it’s because they are opposite so Yh sos if it’s wrong

who understands this sum?

Answers

Answer:

$31728

Step-by-step explanation:

sorry if I'm wrong

Match the solution set given in inequality notation with the solution set given in interval motion x > 7.8

Answers

Answer:

(7.8, ∞)

Step-by-step explanation:

Given the inequality :

x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8

The interval for which the inequality holds true is :

x > 7. 8 - - - > (7.8, ∞)

Please help fast!! What is the range of the scores shown in the stem and leaf plot
95
40
58
37

Answers

Answer:

37

Step-by-step explanation:

Highest take the lowest

95-58=37

Find the quotient of
x3−4x2−4x+16x−2

Answers

Answer:

x^2 - 2x - 8.

Step-by-step explanation:

Using long division:

x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient

       x^3 - 2x^2

              -2x^2 - 4x

              -2x^2 + 4x

                         - 8x + 16

                          -8x + 16

                            ............

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