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Nikolay [14]
3 years ago
9

Determine whether the samples are independent or dependent. Upper A data set includes the weight of 140 students before and afte

r their first year of college. Choose the correct answer below. A. The samples are independent because there is a natural pairing between the two samples.B. The samples are dependent because there is not a natural pairing between the two samples.C. The samples are dependent because there is a natural pairing between the two samples.D. The samples are independent because there is not a natural pairing between the two samples
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

Option C)

Step-by-step explanation:

The samples are dependant.  There should be a relation between the weights of the students, even though there could be changes, as any value can go up or down. A student with a weight around of 30 has a higher chance of getting a weight around of 35 after the firts year than a student with weight around of 55. This means that the probability a student has for getting certain amount of weight after the first year may change depending on the weight the student had at the start of the year. You can therefore naturally relate the weight a student had before the first year with the weight the student had after the first year.

So, the samples are dependant because there is a natural pairing between the to samples, as option C says.

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If Victoria earns $216.30 for working $6 hours in a day, how much does she earn per hour?
geniusboy [140]

Answer:

$36.05

Step-by-step explanation:

Do 216.30 then divide that by 6. With that you get 36.05; the amount she makes per hour.

5 0
3 years ago
A population of bacteria is introduced into a culture. the number of bacteria P can be modeled by P=500(1+4t/(50+t^2 )) where t
Dennis_Churaev [7]
P(t)=500(1+4t/(50+t^2 ))

P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2

  by the quotient rule

 500 (-4t^2 + 200)/(t^2 + 50)^2

Hence

 P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
6 0
3 years ago
For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5
Keith_Richards [23]

Answer:

a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

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.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

1 of 100 are winners. So p = \frac{1}{100}.

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so n = 26.

He wins 25% of the time, so p = 0.25

We have that \mu = np. So \mu = 26*0.25 = 6.5

6 0
3 years ago
From a group of 11 people, you randomly select 2 of them. What is the probability that they are the 2 oldest people in the group
Artemon [7]

Answer:

2/11

Step-by-step explanation:

Probability is the LIKELIHOOD of an event.

According to the word problem, there are 11 people in total and 2 of them are being selected.

The probability of them being the 2 oldest people is 2 in 11, or 2/11.

8 0
2 years ago
Best answer or correct answer gets brainliest
Brilliant_brown [7]

Answer: C. x = 6; m∠XOY = 18

Step-by-step:

We see that ZOW and WOX are supplementary, meaning the sum of their angles equal 180.

We also know that WOY is a right angle and equals 90.

Now we can solve

180-108 = 72

90 - 72 = 18

XOY = 18

Because 3x = 18, we know that x = 18 by dividing 18 by 3

5 0
2 years ago
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