A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?
A) 0.9527
B) 0.9178
C)0.4554

Answers

Answer 1

Answer:

0.9527

Step-by-step explanation:

Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay

Answer 2

The binomial probability for getting at least 4 successes is 0.955

What is binomial probability?

The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.

Binomial probability formula

[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]

Where,  

P is the binomial probability

x is the number of times for a specific outcomes within n trials

[tex]nC_{x}[/tex] is the number of combinations

p is the probability of success in a single trial

q is the probability of failure on a single trial

n is the number of trials

Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.

And let x be a random variable denoting the number of success.

According to the given question.

We have

[tex]p = 0.85[/tex]

⇒[tex]q = 1- 0.85 = 0.15[/tex]

Also,

n = 6

Therefore,

The  binomial probability of getting at least 4 success

[tex]=P(x\geq 4)[/tex]

[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]

[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]

[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]

[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]

[tex]=0.165+0.396+0.4\\=0.955[/tex]

Hence, the binomial probability for getting at least 4 successes is 0.955

Thus, option A is correct.

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Related Questions

Using the net below, find the surface area
of the pyramid.
9\cm
13 cm
m 3 cm
.
Surface Area =
[?] cm2

Answers

Refer to attachment for your answer

Lines j and k are parallel and intersected by line e. What is the value of x?

Answers

Answer:

x = 38

Step-by-step explanation:

We can set both angles equal to 180° since they are same side interior angles;

(2x - 10)° + 3x° = 180°

5x - 10° = 180°

5x = 190°

x = 38

Hope this helps!


help please for questions 1-6:)

Answers

Answer:

Actually, I am not sure about the Ans of 6 no.

please mark me brilliant

Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. calculate korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5% please select the best answer from the choices provided a b c d

Answers

Answer:

76.3%

Step-by-step explanation:

If  korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850 then gross profit margin is 76.32%

Given that Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850.

We need to find the korey’s gross profit margin

The formula for gross profit margin is (Gross Profit / Net Sales) x 100%.

we can calculate Korey's gross profit margin as:

(Gross Profit / Net Sales) x 100%

= (3320 / 4350) x 100%

= 76.32%

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Which number line shows a graph of the inequality x > - 25

Answers

Answer:

I think it's b

Step-by-step explanation:

its at -25 and the arrow is going the way the > points

Suppose ABCD is a rectangle, F and G are points on





DC





such that





DF = GC, and





A(F) ∩ BG = E. Prove that DE = CE.






(I had to put parentheses around the F or else Brainly would think I'm swearing, just so you know. )

Answers

The two sides are equal and for that reason DE = CE as shown below :

AD = BC, DF = GC

E = A(F) and E = BG,  therefore A(F) = BF

Description of rectangle

Now we all know that a rectangle has four edges which are A, B, C, D.

when we divide the bottom line, which is the line from point C to D into three parts we will have ( DF, FG, and GC )

From the question we know that DF = GC

E is the intersection of A(F) and BG

we can now Prove that DE = CE.

since D and C are point included in E and since this is a rectangle

AD = BC, DF = GC

E = A(F) and E = BG,  therefore A(F) = BF

DE = CE

We can conclude by saying that in a rectangle two sides are equal and for that reason DE = CE

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What data are represented by the stem-and-leaf
plot below

Answers

Answer: A. = 37,38,39,41,43,47,52,54

Step-by-step explanation:

The numbers to the left represent the tens place, and each number on the right represents a different ones place value (according to key.)

Therefore, we find a chronological list of numbers, such as:

37,38,39,41,43,47,52,54

This list is the answer Choice of A.

Hope this Helped!

What is the volume?? 23pts

Answers

Answer:

96π mm^3

Step-by-step explanation:

πr^2*h = formula

π4^2*6 = 16π(6) = 96π mm^3

Answer:

[tex]\Longrightarrow: \boxed{\sf{96\pi }}[/tex]

Step-by-step explanation:

You must use the volume of this cylinder formula to solve the volume of this cylinder.

Volume of this cylinder formula:

[tex]\Longrightarrow: \sf{\pi r^2*h}[/tex]

R² =4²mmH (height) =6mm

[tex]\Longrightarrow\sf{\pi 4^2*6}[/tex]

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

First, solve exponents.

4²=4*4=16

16*6

Multiply.

16*6=96

[tex]\Longrightarrow: \boxed{\sf{96\pi}}[/tex]

Therefore, the correct answer is C. 96π.

I hope this helps! Let me know if you have any questions.

When you line the data from low to high and take the middle number you are finding the...
O mean
O median
O mode
O range​

Answers

you are finding the median

HELP PRETTY PLEASE

The scatter plot below shows the relationship between the number of bill.
The most appropriate prediction of the grocery bill for a family that
consists of six members is
(1) $100
(2) $300
(3) $400
(4) $500

Answers

Answer:

$300

hope this helps :)

Point A B and C are given above. What point is missing to make a parallelogram

Answers

I think D at (2,1) will do

hope it helps...!!!

Answer:

(-1 , -1)

Step-by-step explanation:

let D be the missing point

D lie on the line that passes through the point A and parallel to the line BC

D lie on the line that passes through the point C and parallel to the line AB

Then D is the intersection of those two lines

Then D is the point of coordinates (-1 , -1)

Shawheen puts the cost of a weekend trip⁠

Answers

Answer:

I need a problem

Step-by-step explanation:

Please fix your question

A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?

{HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}

(HHH, TTT, HTT, THH, THT}

{HH, TT, HT, TH}

{HTT, HHT, TTH, THH, HTH}​

Answers

Answerit is false

Step-by-step explanation: smart

if you know the answer lmk!!

Answers

Answer:

32.370705543744904

Step-by-step explanation:

Melanie spent half of her allowance going to the movies. She's washed the family car and earned 6 dollars. What is her weekly allowance if she ended up with fifteen dollars??
(I will mark brainliest)​

Answers

The answer to your question is 18 because 24-6 is 18and that the money added accounts for the money spent

please help!! Find the center and radius of the circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
Submit Answer

Answers

Answer:

circle represented by the equation below.

(x - 5)2 + (y + 13)2 = 400

Center:

Radius:

The circumference of a circle is 141.3 inches. What is the radius? Use 3.14 for /pi

Answers

Answer:

22.5

Step-by-step explanation:

Radius = Circumference / (2*PI 3.14) = 22.5

does anyone know what 3x4/5x6 is

Answers

Answer:

12/30 or 6/15

Step-by-step explanation:

3x4=12

5x6=30

12/30

simplified would be 12/30 divided by 2/2

the answer is 6/15

Answer:

3x4=12 and 5x6=30

Step-by-step explanation:

This is because 5x5x5x5x5x5 6 times equal 30 and 3x3x3x3 4 times equals 12. Thank u for your time.

If a starting population size is 200 individuals and there are 20 births and 10 deaths per year, the per capita growth rate (r) is ____ and the new population size after one year will be

Answers

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The per capita growth rate is given as:

per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%

In one year, population = 200 + (0.05 * 200) = 210

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

Find out more on equation at: https://brainly.com/question/2972832

Please help! Will mark brainlyest.

Answers

-3 is less than -5
because the sign -5<-3 means that -5 is smaller than -3

Answer:

C. -3 is less than -5

Step-by-step explanation:

is 11/2 greater, less or equal to 6/1

Answers

Answer:

6/1>11/2

Step-by-step explanation:

11/2=5.5

6/1=6

Given tan(8) = 4/3 and sin(8) = -4/5, find cos(8).
A. 1/3
B. -1/3
C. 3/5
D.-3/5
E. -3squared/5

Answers

I assume you mean β in place of 8.

Remember that tangent is defined as

tan(β) = sin(β) / cos(β)

so that

cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]


Farrah scored 42 points during a recent basketball game. She made only 2-point shots and 3-point shots. In total, Farrah made 19 shots.
Create two unique equations that model the number of 2-point shots, x, and the number of 3-point shots, y, that Farrah made in the game.

Answers

Farrah's unique equations is an illustration of system of equations

The unique equations are 2x + 3y = 42 and x + y = 19

How to create the system of unique equations?

The given parameters are:

Total shots = 19 shots2-point shots = x3-point shots = yTotal points = 42

The total points is represented as:

2x + 3y = 42

The total shots is represented as:

x + y = 19

Hence, the unique equations are 2x + 3y = 42 and x + y = 19

Read more about system of equations at:

https://brainly.com/question/14323743

A botanist records the height of a plant every day for a month. She wants to create a graph to show how the plant's height changed over the month. What type of display should she use? Explain.

Answers

Answer:

Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.

The scatter plot display should used to records the height of a plant every day for a month.

What is scatter plot?

Scatter plot is a "set of points plotted on a horizontal and vertical axes"

According to the question,

A graph to show how the plant's height changed over the month. A

scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month  .

Hence, scatter plot display should used to records the height of a plant evert day for a month.

Learn more about scatter plot here

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If f(x) = 2x^3 +6x^2+2x - 10 and f(1) = 0, then find all of the zeros of f(x) algebraically.

Answers

Answer:

[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

Step-by-step explanation:

We are given that:
[tex]\displaystyle f(x) = 2x^3 + 6x^2 + 2x - 10 \text{ and } f(1) = 0[/tex]

And we want to find all zeros of f algebraically.

Since f(1) = 0, then (x - 1) is a zero of f.

We can hence factor by synthetic division:

[tex]\begin{table}[]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 6 & 2 & 10 \\ \cline{2-5} & 2 & 8 & 10 & -10 \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 2 & 8 & 10 \\ \cline{2-5} & 2 & 8 & 10 & 0 \\ & & & & \end{tabular}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} f(x) & = 2x^3 + 6x^2 + 2x- 10 \\ \\ & = (x-1)(2x^2 + 8x + 10) \\ \\ &= 2(x-1)(x^2 + 4x + 5)\end{aligned}[/tex]

Therefore, by the Zero Product Property:
[tex]\displaystyle x-1 = 0 \text{ or } x^2 +4x + 5 = 0[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned}x & = \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ & = \frac{-(4)\pm\sqrt{(4)^2 - 4(1)(5)}}{2(1)} \\ \\ &= \frac{-4\pm\sqrt{-4}}{2} \\ \\ &= \frac{-4\pm 2i}{2} \\ \\ & = -2\pm i \end{aligned}[/tex]

Therefore, all the zeros of f include:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

How many hours of work are included in a $190 bill for a book project?

Answers

Answer:

C. [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

\$190 includes flat \$25 of editing charges.

->Charges of work on book project

= $190 - $25 = $165

Per hour charges = $30 (given)

No of hours = 165/30 = [tex]5\frac{1}{2}[/tex]

LOCKS IN 10 MIN! WILL GIVE BRAINLEST!

Answers

Answer:

0.952

Step-by-step explanation:

Given :

opposite side of 80 inchesadjacent side of 84 incheshypotenuse of 116 inches

Solving :

tan(θ) = opposite / adjacenttan(θ) = 80/84 = 20/21tan(θ) = 0.952

Answer:

4th option

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{80}{84}[/tex] ≈ 0.952 ( to 3 dec. places )

Please help i will give brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

okay so I think the answer is C the average size of the seventh grade class I'd larger and varies more than that of a kindergarten class

Match each area to its corresponding radius or diameter of the circle.

Answers

Answer:

For radius = 12 the area = 452.16

for diameter = 16.8 the area = 221.5584

for radius = 3.4 the area = 36.2984

for diameter =10 the area = 78.5

Step-by-step explanation:

There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Write a proportion you can use to find the number of boys.

Answers

Answer:

If the first proportion is 3 to 5

We can add a second proportion can be found by ✖ both number by any other numbers

Like multiply. By 2.we get

[tex]6 \: to \: 15[/tex]

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