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ludmilkaskok [199]
3 years ago
12

If a seed is planted, it has a 90% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that

exactly 2 don't grow
Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

0.2301 = 23.01% probability that exactly 2 don't grow.

Step-by-step explanation:

For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which means that the binomial probability distribution is used to solve this question.

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 combinations 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.

90% chance of growing into a healthy plant.

This means that p = 0.9

12 seeds are planted

This means that n = 12

What is the probability that exactly 2 don't grow?

So 12 - 2 = 10 grow, which is P(X = 10). Then

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

P(X = 10) = C_{12,10}.(0.9)^{10}.(0.1)^{2} = 0.2301

0.2301 = 23.01% probability that exactly 2 don't grow.

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Insert parentheses to make these equalities correct<br> 1+2·3+4·5=65
vichka [17]

Answer:

((1+2)*3+4)*5

Step-by-step explanation:

1+2×3+4×5=65

-----------------------

  • ((1+2)×3+4)×5=
  • (3×3 + 4)×5 =
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5 0
3 years ago
the sum of two numbers is 5 the larger number is 14 more than twice the same number what is the larger number
tatyana61 [14]

Answer:

L=8

Step-by-step explanation:

S=smaller number

L=larger number

S+L=5 : S=5-L

L=14+2S

substitute for S:

L=14+2(5-L)

solve for L:

L=14+10-2L

3L=24

L=8

8 0
3 years ago
Read 2 more answers
A red die, a blue die, and a yellow die (all six sided) are rolled. we are interested in the probability that the number appeari
NISA [10]

5/54 or approximately 0.092592593  
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
 r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
 r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
 r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
 r = 4, y = 2, b = 1, so n = 3 + 1 = 4
 r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
 r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
 r = 5, y = 2, b = 1, so n = 9 + 1 = 10
 
 And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
 r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
 r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
 r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
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 And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
6 0
2 years ago
Draw a conclusion is the statement below always sometimes or never true give at least two examples to support your reasoning the
hodyreva [135]
It's sometimes true.

One example is the least common multiple of 2 and 3 is 6, which is their product.

But the product isn't always the answer because (example 2:) the least common multiple of 6 and 10 is 30 because 6*5=30 and 3*10=30, however 6*10 is 60.

Ergo, it is only sometimes true.
3 0
3 years ago
If ln(2x=y)=x=1 then dy/dx =
umka21 [38]
N(2x+y) = x +1 

Differentiate both sides, using the Chain Rule on the left side. 
(1 / (2x + y)) * d(2x + y)/dx = 1 
(1 / (2x + y)) * (2 + dy/dx) = 1 

<span>Rearrange to isolate dy/dx.
</span>
3 0
3 years ago
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