1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lys-0071 [83]
3 years ago
5

Suppose you purchase a bundle of 18 bare-root broccoli plants. The sales clerk tells you that on average you can expect 8% of th

e plants to die before producing any broccoli. Assume that the bundle is a random sample of plants. Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.
Mathematics
1 answer:
neonofarm [45]3 years ago
7 0

Answer:

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

Step-by-step explanation:

For each plant, there are only two possible outcomes. Either they die, or they do not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

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

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

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that

There are 18 plants, so n = 18.

8% of the plants die before producing any broccoli. So p = 0.08.

Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.

This is

P = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{18,0}.(0.08)^{0}.(0.92)^{18} = 0.2229

P(X = 1) = C_{18,1}.(0.08)^{1}.(0.92)^{17} = 0.3489

P = P(X = 0) + P(X = 1) = 0.2229 + 0.3489 = 0.5718

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

You might be interested in
A rental truck cost $48 plus $0.40 per mile.
Natalija [7]
(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
                                y = 0.4x + 48

(b) If the rental cost is 60,
                               60 = 0.4x + 48
The value of x from the equation is 30.

(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60. 
3 0
3 years ago
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

#SPJ1

5 0
2 years ago
What division problem can be represented using the number line?
nexus9112 [7]
A or b depending on wich way your moving
8 0
3 years ago
What is -5n+7&lt;57 and 6n+2&lt;8
pishuonlain [190]

Answer:

if -5n+7<57, then n>-10.

if 6n+2<8, then n<1.

Step-by-step explanation:

-5n+7<57

1. subtract 7 from both sides:

-5n+7 -7< 57 -7

-5n<50

2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):

-5n ÷-5<50 ÷-5

n>-10

6n+2<8

1. subtract 2 from both sides:

6n+2 -2<8 -2

6n<6

2. divide both sides by 6:

6n ÷6<6 ÷6

n<1

4 0
3 years ago
Using just yes or no, can you make more than one triangle when you are given 3 different line segments?
iogann1982 [59]

Answer:

No

Step-by-step explanation:

A triangle is made up of three line segments therefore, it would be impossible to make multiple triangles with only 3 line segments. You could stretch the line segments but they would never make other triangles since each attempt would be missing one line segment. What can be done with these 3 line segments is making more than one type of triangle. For example, we can make acute triangles, an obtuse triangle, right triangles, etc.

5 0
3 years ago
Other questions:
  • Please ASAP <br> 20 points
    14·2 answers
  • Two neon lights are turned on at the same time one blinks every 5 seconds and the other blinks every 8 seconds when will both bl
    13·2 answers
  • Bill estimates that 20 people will attend the seminar if it does not rain and 12 people will attend if it rains. The weather for
    14·1 answer
  • 1. (8-2)+18×6= 2. (15+29-4)×4= 3. (13+5)×(13-5)= show steps please
    7·1 answer
  • PLEASE HURRY!!!!!!!!
    6·1 answer
  • Jordan eats 1/4 of an orange in 1/2 minute how much time will he need to eat a full orange
    6·1 answer
  • PLESE HELP WITH ANSWER. rewrite the function in the given form
    14·1 answer
  • PLease Help help Help
    5·1 answer
  • Edward and tiffany were comparing the distance they ran over a week. If Edward ran 11.90 miles and Tiffany ran 7.9 miles how far
    12·2 answers
  • Does the taxable capital gains added to the banker’s income move them to a higher tax rate?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!