Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051

Answers

Answer 1

Answer: 0.7515

Step-by-step explanation:

Binomial probability formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where

n = total number of trials.

p= probability of success in each trial.

x= Number of successes.

Let x be a binomial variable that represents the number of jurors come to just decision.

p= 0.65

n= 10

Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]

Hence, the probability more than half come to a just decision = 0.7515


Related Questions

The slope of a line passing through the point (5.-6) is 0.4.
Drag the proper numbers and signs to obtain the equation of the line in slope-intercept form.

Answers

Answer:

using formula y2-y1/x2-x1, x1= -6,x2= o, y1= 5,y2= 4

Step-by-step explanation:

4-5/0-(-6)

-1/0+6

-1/6

is your answer

Ryan can mow 15 lawns in 5 days. How many lawns can he mow each day?

Answers

It should be 3
15/5 is 3.

Answer:

3

Step-by-step explanation:

MARK BRAINLIEST

Help due tonight

Solve the following system of equations.
3x + y = -21
-3x - 3y = 15
X=
y =

Answers

Answer:

I have solved it in elimination method if you need it in another method let me know.

Step-by-step explanation:

3x+y=21

-x-y=5

2x=26

x=13

-3×13-3y=15

y= -18

Solve for x: 5x – 2 = 13
GIVING BRAINLIST!! Please help

Answers

Answer:

3

Step-by-step explanation:

5x - 2 = 13

+2        +2

5x = 15

÷5  ÷5

x = 3

Have a great day <3

Answer:

x=3

Step-by-step explanation:

I don't understand this. Please help!!

Answers

Answer:

-2 5/8

Step-by-step explanation:

(3/8)/(1/-7) = (3/8)(-7/1) = -21/8=-2 5/8

On sale , the original price of every jacket in a store is reduced by 20% . Later , this sale price is further reduced by another 20% to create a final price . The store could have reduced the original price directly to the final price by what single percent ?

Answers

Answer:

40%

Step-by-step explanation:

20% + 20% = 40%

Hope this helps!

HELP! Please answer fast How many terms are in the geometric series 0.4 + 1.2 + 3.6 + ... + 7,873.2?

Answers

Answer:

10 terms. I think you should check the explanation :)

Step-by-step explanation:

0.4 + 1.2 + 3.6 + ... + 7,873.2?

So I figured that you have to multiply the terms by three to get the next term.

0.4 * 3 = 1.2

1.2 * 3 = 3.6

But, I know it will takes us a really long time to get to 7,873.2, so what I will do is jump 3 sequences.

So if I multiply by 3 to get the next term, I'll multiply by 9 to get the next two terms because 3 * 3 is 9.

So to jump three times, I will multiply by 27 to get the next three terms because 3 * 3 * 3 is 27.

0.4 + 1.2 + 3.6 + ...

3.6 * 27 = 97.2

0.4 + 1.2 + 3.6 + ..., ..., 97.2, ...

97.2 * 27 = 2624.4

0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, ...

Since we are getting close, I'm going to go back to multiply by 3.

2624.3 * 3 = 7873.2

0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, 7873.2

Now that we have reached 7873.2, we will now count the terms (count the sets of three dots as terms too).

There are 10 terms in the geometric sequence.

The entire digits of pie times the square root of 1

Answers

Answer:

3.1415926

Step-by-step explanation:

3.1415926 * 1 = 3.1415926

Answer:

g4 bk.58i

Step-by-step explanation:

pleasee helpp honestly im stuck i dont know how to graph this equation. it says to graph the funcion c(x)=3x-1

Answers

first take the 3 and place it over the negative one in quadrant 2

Answer:

apply number to the X when x= y = 3*0-1 =-1

x=1 y = 3*1-1 = 2

x = 2 y = 3*2-1 =5

Hello! It would help a lot if I had assistance with this question:

Answers

Answer:

numerator

Step-by-step explanation:

Answer:

Numerator

Step-by-step explanation:

Numerator is at the top while on the bottom is the denominator.

melitón se comió 3 rebanadas de una pizza pequeña de seis rebanadas Cómo se representa una fracción​

Answers

Respuesta:

[tex] \frac{3}{6} [/tex]

Explicación:

El numerador es lo que melitón se comió...

Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.

PLE HELP ASAP
WILL MAKR BRAINLIEST​

Answers

No. Because a function can only be a function when the x values are different. It is fine for y values to be same, but you cannot have the same input.

Answer:

no

Step-by-step explanation:

bc in order for the size of a pack to be represented as the function of ots price, you need to have the same ratio for every pack

but if you do the math

2.30/1000=0.0023

1.70/850=0.002

they do not have the same ratio

so no

pls help.....

.....20 points​

Answers

Answer:

B

Step-by-step explanation:

The simplest way to do this is to take every integer on there and divide it by 3.

8961/3 = 2987

5233/3 = 1744 1/3

10245/3 = 3415

-5469/3 = -1823

Because B does not produce an integer, that is your answer

(This works because of inverse operations)

Please let me know if you have any questions.

What is 3r2 – 48r + 192?

Answers

for that i got 3(x-8)^2

Expand: logh(9jk) Log Subscript h Baseline 9 times log Subscript h Baseline j times log Subscript h Baseline k Log Subscript h Baseline 9 + log Subscript h Baseline j + log Subscript h Baseline k Log 9 + log j + log k

Answers

Answer:

log h 9 + log h j +log h k

Step-by-step explanation:

i got it right on edg

Answer:

it is B for all u speed run edge people

Step-by-step explanation:

big luck in life

HELP!!!
A triangle has sides of 6m and 9m . Which is
a possible length, in meters, of the third side?
A-2m
B-3m
C-5m
D-17m

Answers

Answer:

C-5m

Step-by-step explanation:

Answer:

answer is ( b )

Ella is 66 inches tall. Andy is 6 1/2 feet tall. Who is taller? By how much? (12 inches = 1 foot)

Answers

Answer:

Andy is taller by one foot or 12 inches

Step-by-step explanation:

Ella = 66 inches = 5'6"

Andy = 6 1/2 feet = 6'6"

Andy is taller by one foot or 12 inches

Andy is taller by one foot or 12 inches

Given:

Ella is 66 inches and Andy is 6 1/2 feet.

12 inches = 1 feet.

Convert inches in to feet.

12 inches = 1 feet.

1 inches = 1/12 = 0.083

66 inches = (0.083 * 66) = 5.5 feet.

Andy = 6 1/2 feet = 6.5 feet.

6.5 > 5.5 (6.5 is greater than 5.5).

Andy is taller by one feet or 12 inches

Therefore, Andy is taller by one feet.

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Solve 3(x + 1) + 6 = 33

Answers

Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3(x + 1) = 33 - 6[/tex]

2) Simplify 33 - 6 to 27.

[tex]3(x + 1) = 27[/tex]

3) Divide both sides by 3.

[tex]x + 1 = \frac{27}{3} [/tex]

4) Simplify 27/3 to 9.

[tex]x + 1 = 9[/tex]

5) Subtract 1 from both sides.

[tex]x = 9 - 1[/tex]

6) Simplify 9 - 1 to 8.

[tex]x = 8[/tex]

Therefor the answer is, x = 8.

Jessica is bringing cupcakes to school for her birthday. She is placing them in a rectangular box that can fit 4 more cupcakes long that it can wide. They will not all fit in the box, so she is also bringing a bag that can hold 12 cupcakes. The amount of cupcakes she is bringing can be represented as x(x + 4) + 12. Solve for the number of cupcakes wide and long the box will hold. Part A) What does x represent?​

Answers

Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

Pensé un número, a ese
número le sumé 15 y
obtuve como resultado 27.
¿Cuál es el número que
pensé​

Answers

Answer:

si es suma tiene que ser 12+15=27

3. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function shown in the graph.


A. y = 5/3x + 1

B. y = 3x - 1

C. y = 2/5x + 1

D. y = -5/2x - 1

Answers

Answer:

D. y= -5/2x - 1

Step-by-step explanation:

Hope this helps. Sorry if it doesn't

Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?

Answers

Answer:

Step-by-step explanation:

57x2/(12+7)=6

Simplify.
[tex]\frac{8\sqrt{6mn} + 6\sqrt{8mn} }{2\sqrt{2mn} }[/tex]

Answers

It’s the first answer
I used Math-way :)

Solve for x

X=4
3/2x+8=-1

Answers

x=-6
Solve for x by simplifying both sides of the equation, and then isolate the variable.

Paula is going to hire a makeup artist for a fashion show and is comparing prices. Shelley charges $40 as a booking fee and an additional $30 per hour. Ezra charges $35 per hour, plus a booking fee of $30. Depending on the length of the show, the cost could end up being the same for either artist. What would the cost be?​

Answers

Answer:70

Step-by-step explanation:

The cost of booking was $100 as obtained by the length of the show.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

From the given information the two linear equations can be formed as,

30x + 40 and 35x + 30.

The cost would be the same when we'll equate these two equations.

30x + 40 = 35x + 30.

30x - 35x = 30 - 40.

- 5x = - 10.

5x = 10.

x = 10/5.

x = 2, So at two hours the cost would be the same and the total cost is,

$30(2) + 40.

$60 + 40.

= $100.

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PLEASE HELP I WILL MARK BRAINLIEST
3y + 7 = x

Solve for y and x.

Answers

Answer:

x=3y+7

y=1/3x-7/3

Step-by-step explanation:

Answer:

y=6 x=25

Step-by-step explanation:

brainliest plz

A solid has an area of 1cm squared. The solid is dialated to a new area of 2,401cm squared what was the scale factor? Show your work

Answers

Answer:

1 : 2401

Step-by-step explanation:

Given that:

Area of solid = 1cm²

New area after dilation = 2401 cm²

The scale factor :

Old area : new area

1 cm² / 2401 cm²

Hence, the scale factor is

1 : 2401

Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.

Answers

Answer:

198

Step-by-step explanation:I

Answer: w= 150m

Step-by-step explanation:

MARK BRAINLIEST

Evaluate the following expression when x = 5. -4x^2 + 3x + 12

Answers

Answer:

-73

Step-by-step explanation:

-4(5)^2+3(5)+12

5^2=25

25*-4=-100

-100+15+12=-73

most kitchens have a working triangle between the sink (S), the counter (C), and the oven (O). the distance between the sink in the oven is 8 feet. The distance between the sink and the counter is 6 feet, and the distance between the oven and the counter at 7 feet. in the kitchen triangle, where is the largest angle?

a. all of the angles are congruent
b. sink
c. counter
d. oven​

Answers

Answer:

b my

Step-by-step explanation:

valentines

bbg

In the kitchen triangle,  the largest angle will be at counter

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that kitchens have a working triangle between the sink (S), the counter (C), and the oven (O).

The distance between the sink in the oven is 8 feet.

The distance between the sink and the counter is 6 feet,

The distance between the oven and the counter at 7 feet.

we need to find in the kitchen triangle, where is the largest angle

SO=8

SC=6

OC=7

Hence, in the kitchen triangle,  the largest angle will be at counter

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