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Lemur [1.5K]
3 years ago
5

Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t

reated and six untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil, and the number of emerging plants were counted. If the solution was not effective and five plants actually sprouted.
Required:
What is the probability that all five plants emerged from treated seeds?
Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

6 treated, which means that k = 6

Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

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Vikki [24]

Answer:

5.6 quarts

Step-by-step explanation:

x + .15(8) = .50(8+x)

x + 1.2 = 4

.50x + 1.2 = 4

.50x = 2.8

x = 2.8/.50

x = 5.6 quarts 

8 0
3 years ago
Round each number to the nearest hundredth.
Minchanka [31]

Answers:

  • 1) 7.35
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  • 3) 2.82
  • 4) 8.98
  • 5) 9.37
  • 6) 7.80
  • 7) 4.78
  • 8) 9.25
  • 9) 4.73
  • 10) 6.78

==============================

Explanation:

The hundredth decimal place is two spots to the right of the decimal

For instance, the digit 5 is in the hundredths place for 7.3547

Since the next digit over is not 5 or larger, this means we just keep 7.35 and ignore everything else. We don't round up.

Something like 1.1295 becomes 1.12 after we drop everything after the '2', but we round up to 1.13 because of that 9 being five or larger.

The other 8 problems are handled in a similar fashion.

8 0
3 years ago
Find the perimeter of the sector. With an angle of 110 degrees and a radius of 8
Vlad [161]

Answer:

49 / 9π + 16

Step-by-step explanation:

So 110 / 360 = 11 / 36

The circumference of the circle is 16π

11 / 36 * 16 = 44 / 9π

44 / 9π + 8 + 8 is the answer since you gotta add the sides.

This might be wrong so check my steps.

6 0
3 years ago
TRUE OR FALSE:
Oksanka [162]

Answer:

It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important. If the order doesn't matter then we have a combination, if the order do matter then we have a permutation. One could say that a permutation is an ordered combination.

Step-by-step explanation:

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Is the square root of 42 rational or irrational? Explain
MA_775_DIABLO [31]

<em>☽------------❀-------------☾</em>

<em>Hi there!</em>

<em>~</em>

\sqrt{42}<em> ≈ </em>6.4807406984087...

<em>So </em>\sqrt{42}<em> is irrational (since the decimal portion doesn't terminate or repeat) </em>

<em>❀Hope this helped you!❀</em>

<em>☽------------❀-------------☾</em>

(The other person copied there answer from google!)

5 0
3 years ago
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