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Anastasy [175]
2 years ago
5

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words f

rom the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
Mathematics
1 answer:
gayaneshka [121]2 years ago
4 0
To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

<span>=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)
</span>
=0.132 
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An orange has 20 fewer calories
Andreyy89

Answer:

90 calories in a banana.

Step-by-step explanation:

O = B - 20     where  O is the number calories in an orange and B is a that in  banana.

Also 7B = 9O

From the above   O = 7B / 9 so substituting in the first equation:

7B / 9 = B - 20

7B = 9B - 180

2B = 180

B = 90.

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1. Use Difference of squares: a^2-b^2=(a+b)(a-b)
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I think it is a 27.5% decrease
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2 years ago
When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q? Show your work please.
Strike441 [17]
 = 2x^2 - 20x + 49 = 2(x^2 - 10x + 49/2) 

y= 2((x-5)^2 - 25 + 49/2) = 2((x-5)^2 - 1/2) = 2(x-5)^2 - 1 

q =5, r=-1, p=2 

Vertex = (q,r) = (5,-1)

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