If a seed is planted, it has a 70% chance of growing into a healthy plant.

If 8 seeds are planted, what is the probability that exactly 4 don't grow?

Answers

Answer 1

Answer:

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

Step-by-step explanation:

Binomial Distribution

Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.

It follows that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:

[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]

Where :

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations, calcula ted as follows:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.

The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.

Apply the formula:

[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]

[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]

[tex]\displaystyle P_{4} = 0.1361[/tex]

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%


Related Questions

How many cyclists are at least 26 years old?

Answers

Answer:

15

Step-by-step explanation:

Solve the 'equation. Then check your solution.
(2 1/7)p=-3

Answers

Answer:

p= -7/5

Step-by-step explanation:

Erica had $1,200 dollar in her bank account and deposited another $300 into the account. By what percent did the amount of the money in her bank account increase?

Answers

Answer: 25%

Step-by-step explanation:

Write the ratio:
10
to
68
as a fraction in lowest terms.

Answers

Answer:

5/34

Step-by-step explanation:

change 10:68 into 10/68, then divide by 2/2 to get 5/34.

WILL GIVE BRAINLIEST! What is the equation of the line passing through the points (4, 7) and (7, 13) in slope-intercept form?

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

To get slope:

m = y2 - y1 / x2 - x1

m = 13 - 7 / 7 - 4

m = 6 / 3

m = 2

To get y-intercept:

y = mx + b

13 = 2(7) + b

13 = 14 + b

13 - 14 = b

-1 = b

Put it together:

y = 2x - 1

Midpoint of the segment whose endpoints are (6,9) and (-4,16)

Answers

Answer:

(4,5)

Step-by-step explanation:

(xa+xb/2,ya+yb/2)

(0+8/2,2+8/2)

(8/2,10/2)

(4,5)

hope this helps

find the distance between (-6,0) and (-9,-4)

Answers

Answer:

5 units

Step-by-step explanation:

d=

[tex] \sqrt{(x2 - x1}^{2} ) + \sqrt{(y2 - y1) {}^{2} } [/tex]

your cell bill for the last month was $148.50 and you think this seems high. If you know that you talked on your phone for 221 minutes last month, how much should your bill have been?

Answers

Answer:

should have been around 72

Step-by-step explanation:

dollars

The average number of points a basketball team scored for
three games was 63 points. In two games, they scored the same number of points,
which was 6 points more than they scored in the third game. Write and solve an
equation to find the number of points they scored in each game.

Answers

Average is

(2x + X+6)/3=63
(2x+x+6)= 189
3x+6=189
3x=183 61

X=61
Scores for the game are: 61, 61, and 67

The problem
divided by
appeared on a recent test. The problem was done incorrectly. Identify one error that the student made. Identify an additional error, different from your answer in Part A, that the student made.

Part C:
Write a complete sentence to explain how the two errors can be corrected.

Answers

Answer:

Step-by-step explanation:

In the given division, when 24.725 is divided by 215,

Step 1 is the wrong step.

Quotient in first step will be 0.1 .

Part C.

215) 24.725 (0.115

      215

          322

          215

           1075    

           1075

                0

Therefore, the correct way to divide should be as agove.

Quotient after division should be 0.115.

The highest temperature recorded in the town of Westgate this summer was 93°F. Last winter, the lowest temperature recorded was -13°F. Find the difference between these two extreme temperatures.

Answers

Answer:

80

Step-by-step explanation:

Perry took a total of 12 quizzes over the course of 6 weeks. After attending 10 weeks of
school this quarter, how many quizzes will Perry have taken in total? Solve using unit rates.

Answers

Answer:

so perry takes about 2 quizzes a week ok well all we have to do is multiply 2×10=...20 so perry takes about 20 quizzes in ten weeks

A school paid $31.25 for each calculator.

a. If the school bought x calculators, how much did they pay?

b. The school spent $500 on calculators. How many did the school buy?

Answers

Answer:

16

Step-by-step explanation:

If he school bought 16 calculators they would pay 500 dollars because if you will  divide 500 by 31.25 you will get an answer of 16

A. $31.25(x)=amount paid
B. $31.25(x)=$500
Divide $500 by $31.25 to cancel each other out
X≈16.5289 which in real world problems would equal 16

Hope this helped!

-4 1/5+3 2/3+ -1 2/5

Answers

Answer:

-1.9

Step-by-step explanation:

I rounded it to the tenth

Mixed Number: -1 14/15
Decimal: -1.93
Improper Fraction: - 29/15
Hope it helps!

Answer for points:
after Muhamad's death, Islam spread throughout the world mostly due to:
A: Muslim pilgrims teaching their beliefs to others,
B: Muslim empires conquering new territories,
C: Sunni and Shiite leaders agreeing to untie,
D: Christian leaders converting to Islam.

Answers

Answer: THE ANWSER IS B

A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

Answers

Answer:

18 cents

Step-by-step explanation:

3.28/18 = .18

what is 2208 divided by 96?

Answers

23............hope this helps

One should continue to monitor his or her goals and adjust his or her plan for achieving them when it is necessary.
Please select the best answer from the choices provided
True or false

Answers

Answer. True
Explanation. You must monitor your goals and try to achieve them on your watch.
good luck :)

Answer:

true

Step-by-step explanation:

.
Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20

Answers

Answer:

C (3x4) + (5x2) + 20

Step-by-step explanation:

3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.

a flying squirrel jumped from a tree 11 feet in the air at an initial velocity

Answers

Answer:

A flying squirrel jumped from a tree 11 feet in the air at an initial velocity of 9 feet per second. The equation h=-2t^2+9t-11 models his jump where h is height in feet and t is time in seconds

Step-by-step explanation:

Solve the equation for all values of x in simplest form (x + 3)^2 = -16

Answers

Answer:

x = -7 or  x = 1

Step-by-step explanation:

Given expression:

    (x + 3)²  = -16

 

Problem;

   Solve for x;

Solution:

 To solve for x; we use the factorization method;

     Take -16 to the left of the equation;

      (x + 3)²  = -16

         (x + 3)² + 16 = 0

       (x+ 3)² + 4²  = 0

if    x² + y²  = (x + y)(x - y)

     So;

       (x + 3 + 4) (x + 3 - 4) = 0

       (x + 7)(x - 1) = 0

       x + 7  = 0 or x - 1 = 0

      x = -7 or  x = 1

Giving brainliest for the question if answer correct need answer ASAP


Find each union or intersection. Let X = {1, 4, 9}, Y = {x | x is an odd whole number less than 10}, and Z = {2, 4, 6, 8}.


X U Y


X U Z


X n Y


X n Z


Y n Z

Answers

Answer:

X ∪ Y = 1, 3, 4, 5, 7, 9,

X ∪ Z = 1, 2, 4, 6, 8, 9

X ∩ Y = 1, 9

X ∩ Z = 4

Y ∩ Z = ∅

Explanation:

X = [1, 4, 9]

Y = [1, 3, 5, 7, 9]

Z = [2, 4, 6, 8,]

7x10x10x10x10=
using exponent

Answers

7(10^4)

Hope this helps :)

Answer:

70,000

Step-by-step explanation:

100x100=10000x7=70000

simplify 4/7 diveded by 3/-8​

Answers

Answer:

- 32/21 or - 1 11/21

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per say. Which expression shows how to find the number of cups of water she drinks in a week?

Answers

Answer:0.5 gallons per day.Two options only.First;How many liter does the gallon have use the litre to solve for how many litres.Convert it into one unit divide and multiply the product by 0.5.

2nd option; Find the number of cups by representing it in a variable.

Which of the following ordered pairs is a solution to the inequality y>−2x+7?

Answers

Answer: x>-1/2y+7/2

Step-by-step explanation:

HELP WILL MARK BRAINLIEST PLEASE GIVE EXPLANATION

Answers

Answer:

P1P2 = P1P3 = 2√2P2P3 = 4isosceles right triangle (both)

Step-by-step explanation:

The length of a side can be found using the distance formula:

  d = √((x2 -x1)^2 +(y2 -y2)^2)

For P1P2, this gives ...

  d = √((0-(-2))^2 +(1-(-1))^2) = √(4+4) = √8

  P1P2 = 2√2

__

The same ∆x and ∆y apply to P1P3, so we know ...

  P1P3 = 2√2

__

The lengths of P1P2 and P1P3 are the same, so the triangle is isosceles.

__

The length of P2P3 can be found by subtracting the y-coordinates:

  P2P3 = 1 -(-3)

  P2P3 = 4

__

We note that the slope of P1P2 is 2/2 = 1, and the slope of P1P3 is -2/2 = -1. The product of these slopes is (1)(-1) = -1, so we know those lines are perpendicular. The triangle is a right triangle.


Please help with number 3

Answers

9514 1404 393

Answer:

  13/8

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  [tex]\dfrac{4\dfrac{2}{3}-\left(-1\dfrac{5}{6}\right)}{-7\dfrac{3}{4}-(-11.75)}=\dfrac{6.5}{4}=\boxed{\dfrac{13}{8}}[/tex]

I need help, anyone please.

Answers

Answer:

Its B

Step-by-step explanation:

Linear funtions need 1 x value for every y value so its B

Help a nikah out plz lol thx for the help

Answers

Answer:

18

Step-by-step explanation:

trapezoid area:

[tex]A=\frac{1}{2} (b_1+b_1)(h)\\A=\frac{1}{2} (4+8)(3)\\A=18[/tex]

The answer above is correct my dude
Other Questions
100 POINTS. PLEASE PROVIDE EXPLANATION Can someone please help me? Someone please help me What is the mass of 6.2x 1022 molecules of carbon monoxide? Why do you think Common Sense was so popular? At which stage are babies typically introduced to ingredient mixtures?O Eight to 10 monthsO 10 to 12 monthsO Four to six monthsO Six to eight months 5y = x + 13proportional or nonproportional?? Which of the following would be the most appropriate speech topic for an audience of senior citizens? a. the impact of Shakespearean sonnets on todays rap music b. how to avoid the Freshman 15 in college c. the latest products for babies d. how to stay active with arthritis A_____ is the amount of heat needed to raise the temperature of 1 kilo of water 1 degree celsius.A.starch B.gramC.glycogen D.calorie Kiera decided to enroll in college because her friends told her it was a good idea and they wanted her to follow their lead. Kieras not sure about becoming a college student. Which statement has the most impact on Kieras familys future? List 5 pieces of evidence investigators had found in the famous Lindbergh Case helpppppppppppppp!!!!! Need Help Will give brainliest: What are the problems that develop with groups that spend large amounts of money simply for the purpose of defeating a candidate. What were the quartering acts Life is about going through pain, you can't change it and it never goes away, the best thing to do is just be sad and not talk to people about it. If a plant of a maple tree has more chloroplasts than the leaf of a tomato plant, thenA. the maple tree will have an increase in photosynthetic potentialB. the maple tree will have an increase in respiration potentialc.the maple tree will have an increase in carbon dioxide productionD. the maple tree will have an increase in water production Map of Spanish Speaking CountriesClick on any continent that has a Spanish-speakingcountry shaded in dark blue. Then move yourcursor over each of the 21 countries to discovermore about themApproximately how many people in the world speak Spanish?300 million people13 million people.500 million people200 million people If I start on the note 'D' and move down a half step, which note will I land on?A) EB) FC) CD) D Flat Help with a question on canvas having friends and being a good friend can be work what is the topic sentence poriferons are called sessils because