Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.

Answers

Answer 1

Answer:

99.8% probability of at least one failure.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of success is 30%.

This means that [tex]p = 0.3[/tex]

Five trials:

This means that [tex]n = 5[/tex]

Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.

Less than five sucesses, which is:

[tex]P(X < 5) = 1 - P(X = 5)[/tex]

In which

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

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.002[/tex]

[tex]P(X < 5) = 1 - P(X = 5) = 1 - 0.002 = 0.998[/tex]

0.998*100% = 99.8%

99.8% probability of at least one failure.


Related Questions

A) -198+(-32) ayuda porta
B)-99+(-12)

Answers

Answer:

A) -230

B) -111

Step-by-step explanation:

A negative plus a negative is a negative

- + - = -

Pls anyone I need answer of this urgent PLEASE

Answers

Answer:

Q.#1 is a

Q.#2 is d

Step-by-step explanation:

hope this helps:)

English
V
ARMANI TH
Quick
Check
Choosing a Table
The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5,5t.
Which table of values matches the equation and includes only viable solutions?
Time (t)
Calories (c)
Time (t)
Calories (c)
Time (t)
-5
Calories (c)
-27.5
0
0
-20
0
-110
0
5
27.5
-15
-82.5
5
27.5
10
55
-55
10
55
-10
-5
15
82.5
-27.5
o
O

Answers

Answer: option b

Step-by-step explanation: i hope this helps :)

In the following table y is proportional to x.



What is the constant of proportionality?


A. 5/14


B. 5/7


C. 7/5


D.20/7

Answers

D there’s a 20 and a 20 is missing
D ggccccccccccvccccccccc

Does anyone what to talk. I need someone to talk to pls.

Answers

Answer: Sure. HRU?

Step-by-step explanation:

Answer:

hey mama hyb ?

Step-by-step explanation:

The price of an item has dropped to $38 today. Yesterday it was $95. Find the percentage decrease.

Answers

Answer:

60% decrease

Step-by-step explanation:

Subtract to find how much money it went down by

95 - 38= 57

then use proportions

x/100 = 57/95

then cross multiply

5700 = 95x

60 = x

n is an integer and -1<n < 5
Write down all the possible values of n.​

Answers

Answer:

0,1,2,3,4

Step-by-step explanation:

Person above me got it correct I’m pretty sure

Please show steps, 100 points and Brainliest
Convert vertex form f(x)=(x+2)^2-25 to factored form.

Answers

Answer:

f(x)=x^2+4x-21

Step-by-step explanation:

Answer:

f(x) = (x + 7)  (x - 3)

Step-by-step explanation:

f(x)=(x+[tex]2)^{2}[/tex]-25

(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2

now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in

(x+2)^2 to add for the answer = -25

Solve for the measure of x.

Answers

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

[tex]\sqrt{3}[/tex]/2=x/8[tex]\sqrt{5}[/tex](do cross multiplication)

2x=[tex]\sqrt{3[/tex] *8[tex]\sqrt{5}[/tex]

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

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

x=4[tex]\sqrt{15}[/tex]

for y

using pythagoras theorem

h^2=p^2+b^2

(8[tex]\sqrt{5}[/tex] )^2=(4[tex]\sqrt{5}[/tex] )^2+b^2

320=80+b^2

320-80=b^2

240=b^2

[tex]\sqrt{240}[/tex] =b

4[tex]\sqrt{15}[/tex]=y

what shapes have 2 pairs of parallel sides? Choose all that arw correct.​

Answers

Answer:

can we see the options please

square, rectangular, rhombus

What is the difference between simplifying radicals and estimating its value?

Answers

Answer:

Simplifying radicals is the process of manipulating a radical expression into a simpler or alternate form. Generally speaking, it is the process of simplifying expressions applied to radicals.

Estimation (or estimating) is the process of finding an estimate, or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable. The value is nonetheless usable because it is derived from the best information available.

Step-by-step explanation:

The radical symbol represents the root of a number and is read as x radical n or the nth root of x.

What is a radical?

The symbol " that expresses a number's root is known as radical, and it is read as x radical n or the nth root of x. The horizontal line that surrounds the number is known as the vinculum, and the number beneath it is known as the radicand. The index or degree is the number n written before the radical.

The process of transforming a radical expression into a simpler or alternate form is known as simplifying radicals. In general, it is the process of simplifying expressions that are applied to radicals.

Estimation (or estimating) is the process of determining an estimate, or approximation, which is a value that can be used for a specific purpose despite the fact that the input data may be incomplete, uncertain, or unstable. The value is still useful because it is based on the best available information.

To know more about radicals follow

https://brainly.com/question/28519153

#SPJ2

if x=-4 and y=3 what is the value of x-3y^2

a: -13
b: -31
c: -23
d: -85​

Answers

Answer:

b -31

Step-by-step explanation:

Step-by-step explanation:

x-3y²4-3×3²4-27-23

hope it helps

stay safe healthy and happy..

Question 16 of 98
In which pair do both decimals represent rational numbers?
O A. 9.0032812373025549382... and 0.12333...
B. 9.0032812373025549382... and 0.115
C. 0.115 and 0.12333...
D. 3.10382947305718274... and 0.123
SUBMIT

Answers

the answer would be b

Answer:

C

Step-by-step explanation:

C. Since .12333 has a repeating character and .115 has a definitive end, they are both rational

Very easy question whoever answers first and gets the answer right get 20 points. The problem is
[tex]27 \times 13[/tex]

Answers

Answer:

your answer is 351: )

Step-by-step explanation:

Have a great day ty!

To explain what 27 times 13 means, look at it as 27 added together 13 times. To get the answer, you could just write down the number 27, 13 times and then add the 27 numbers together.

If you have one of those old-fashioned handheld calculators, you can double check that the answer is 351 by pressing 27, then x, then 13, and then = to get the answer.

Answer:

[tex]351[/tex]

Step-by-step explanation:

[tex]27\times \:13[/tex]

Step 1: Line up the numbers; Multiply the top number by the bottom number one digit at a time starting with the ones digit (from right to left)

[tex]\begin{matrix}\space\space&2&7\\ \times \:&1&3\end{matrix}[/tex]

Step 2: Multiply the top number by the bolded digit of the bottom number

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{7}\\ \times \:&1&\textbf{3}\end{matrix}[/tex]

Step 3: Multiply the bold numbers; Carry 2 to the column on the left and write 1 in the result line

[tex]7\times \:3=21\\\\\frac{\begin{matrix}\space\space&2&\space\space\\ \space\space&2&\textbf{7}\\ \times \:&1&\textbf{3}\end{matrix}}{\begin{matrix}\space\space&\space\space&1\end{matrix}}[/tex]

Step 4: Add the carried number to the multiplication

[tex]2+2\times \:3=8\\\\\frac{\begin{matrix}\space\space&\textbf{2}&\space\space\\ \space\space&\textbf{2}&7\\ \times \:&1&\textbf{3}\end{matrix}}{\begin{matrix}\space\space&8&1\end{matrix}}[/tex]

Step 5: Multiply the top number by the bolded digit of the bottom number

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{7}\\ \times \:&\textbf{1}&3\end{matrix}}{\begin{matrix}\space\space&8&1\end{matrix}}[/tex]

Step 6: Multiply the bold numbers

[tex]7\times \:1=7\\\\\frac{\begin{matrix}\space\space&\space\space&2&\textbf{7}\\ \space\space&\times \:&\textbf{1}&3\end{matrix}}{\begin{matrix}\space\space&\space\space&8&1\\ \space\space&\space\space&7&\space\space\end{matrix}}[/tex]

Step 7: Multiply the bold numbers

[tex]2\times \:1=2\\\\\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&7\\ \space\space&\times \:&\textbf{1}&3\end{matrix}}{\begin{matrix}\space\space&\space\space&8&1\\ \space\space&2&7&\space\space\end{matrix}}[/tex]

Step 8: Add the rows. Add zero for simplicity

[tex]\frac{\begin{matrix}\space\space&\space\space&2&7\\ \space\space&\times \:&1&3\end{matrix}}{\begin{matrix}\space\space&0&8&1\\ \space\space&2&7&0\end{matrix}}[/tex]

[tex]81 + 270 = 351[/tex]

Therefore 27 times 3 is 351

Can someone help me with this?! Its Math Ill give you 20 Points Thank you

Answers

Answer:

Look below

Step-by-step explanation:

1- translation

2- Reflection

3- Rotation

4- Rotation  

Answer:

Hello!

It's hard to tell sometimes with out graph but here answers

1st one: Translation

2nd one: Reflection

I don't know for sure for the last 2 but heres what I think they are answer at your own risk THOUGH. 3rd one: None of these

4th one: Rotation

Fill in the blank. The solution to 2x - 2 + 5 = 13 is .

Answers

The answer is 5, this is because you would combine like terms to make 2x+3= 13 and then subtract the three from both sides to make 2x=10 and then divide both sides by 2 to get x=5

Explain the effect level of significance and sample size have on hypothesis testing results. Provide an example and explain how they might impact business decisions. In replies to peers, discuss whether you agree or disagree with the example provided and justify your response.

Answers

Solution :

The level of significance refers to the probability of the null hypothesis that may be rejected in the study by the observer. As the sample size increases, the p value also increases but the significance remains same. When the sample size increase and becomes large, the null hypothesis can be rejected more easily.

The business decisions are taken defending the significance level of the statistical validation in cases of uncertainty. Suppose the null hypothesis is the sales after the marketing campaigning remains same. The company will launch the marketing campaign when the confidence level is 95% so that after the campaign the sales will increase. It means that the significance level must be high enough for rejecting null hypothesis of sales post of the marketing campaign that remains same.

When the sample size increases, the sensitivity of hypothesis increases, and for a large sample, the hypothesis may be rejected even though it is true.  

find 11/25 of a liter

Answers

Answer:

0.44l

Step-by-step explanation:

a litre=1l

11/25 of it=11/25×1l

=0.44l

Answer:

A litre=1 l

Or, 1/25×1

=0.44.

Andy buys a rectangular rug that is 92 centimeters long and 80 centimeters wide. What is the area of the rug?

Answers

Answer:

7360² cm.

Step-by-step explanation:

area=length(width)

5. Which of the following functions models exponential growth?
x
A. f(x) = 12 ()
B. f(x) = 2(.87)*
c. f(x) = -3(x)2
D. f(x) = 4(1.07)

Answers

Answer:

D

Step-by-step explanation:

I believe it's D but not 100%

5) Find the measure of the unknown
angle in the triangle
O 100°
O 105
106
0 112
PLEASE HELP

Answers

105 degree , I think but not sure
106
explanation: triangles add up to 180 degrees. in the triangle above, the angles only add up to 74. 180-74=106

Michelle and Pierre both want to buy guitars, Michelle has already saved $60, and
plans to save $5 per week until she can buy the guitar, Pierre has $25, and plans to save
$12 per week. How many weeks will pass before Michelle and Pierre have the same
amount of money?

Answers

Answer:

on the 5th week they would both have the same amount of money they would both have a total of 85$

Step-by-step explanation:

The number of weeks will pass before Michelle and Pierre have the same amount of money will be 5.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

Let x be the number of the weeks and y be the total amount.

Michelle and Pierre both want to buy guitars, Michelle has already saved $60, and plans to save $5 per week until she can buy the guitar, Pierre has $25, and plans to save $12 per week.

Then the equations will be

y = 5x + 60    ....1

y = 12x + 25  ....2

Subtract equation 1 from equation 2. Then we have

7x – 35 = 0

       7x = 35

         x = 5 weeks

Then the number of weeks will pass before Michelle and Pierre have the same amount of money will be 5.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Find the volume of the pyramid. v=

Answers

Answer:

240 mi^3

Step-by-step explanation:

Base area = length x width = 10 x 8 = 80 mi^2

V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3

solve these equations, show all your work x/2=20

Answers

Answer:

x = 40

Step-by-step explanation:

x/2 = 20

x/2(2) = 20(2)

x = 40

What is the range of the function y=^3√x+8​

Answers

Answer:

It should be A

Step-by-step explanation:

Took the class a few months ago

A

Just took the quiz and got it right

simplify 3a/a^2-9a+18-2/a-6

Answers

I believe it is C!!
You got this!!!

Answer:

A or C

Step-by-step explanation:

30 points!!!!!! please help quick!!!

Answers

Answer: The first picture is A an the secund Picture is D

Step-by-step explanation:

i hope this help

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

Answer:

57m2

Step-by-step explanation:

Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours

Answers

Answer:

7 hours

Step-by-step explanation:

15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.

Answer: 7 hours

Step-by-step explanation:

She earns 5 dollars per hour because 5x3=15

and then you do 15x2=30

then 3x2=6

then just add 1 to 6

6+1=7

so there's your answer

7 hours

help please i cant do this LOL

Answers

Answer and Step-by-step explanation:

Answer is in picture.

First you need to translate (or move) to the right 1 unit, the translate (or move) downwards 5 units.

Then, reflect the points over the y-axis (reflecting is like when you see your reflection in a mirror, how your hand lines up with the hand in the mirror)

#teamtrees #PAW (Plant And Water)

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