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geniusboy [140]
3 years ago
13

Rueben has scored 81 , 89 , 90 , 83 , and 77 on his previous five tests. what score does he need on his next test so that his av

erage (mean) is 82 ?
Mathematics
1 answer:
lawyer [7]3 years ago
7 0
Let x = the next score

If    (81 + 89 + 90 + 83 + 77 + x)  ÷  6 = 82

  ⇒  420 + x = (82 × 6)

  ⇒  x = 492 - 420
     
       x = 72

Thus to get an 82 average he need to get 72 on his next test.
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Answer:

$58.84375, rounded ≈ $58.84

Step-by-step explanation:

You can do 67.25 x 7/8 (use a calc if you are lazy) = 58.84375

I'm guessing you don't need to round so I'm going to add both real and rounded answers

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A group of volunteers has been collecting toys to deliver to a local charity. Over the last 5 days, the volunteers have collecte
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Step-by-step explanation:

<u>Given equation:</u>

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<u>Now, let's solve the equation:</u>

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2 years ago
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alukav5142 [94]

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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53 is a prime number !!

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