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aniked [119]
3 years ago
5

One of your classmates is working on an assignment for her statistics class. She created an online survey to collect student opi

nions about the college class schedule. She only has time before her engineering class to distribute the link to the survey. So she stands outside the engineering building just before class each day and randomly selects students as they enter the building. She hands each selected student a link to the survey and asks the student to go online and answer the questions. Over several months, she repeats the process until 200 students go online and take the survey.Which of the following statements accurately describes your classmate’s survey? Check all that apply.1.The sample is not representative of the population.2.The sample is biased.3.The sample is large, so the results of the survey will be reliable.4.The survey can be used to draw conclusions about the population.
Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer:

...... idk

Step-by-step explanation:

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A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.
Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

P(A) = \dfrac{4}{8} = \dfrac{1}{2}

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

P(B) = \dfrac{4}{8} = \dfrac{1}{2}

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

P(A \land B) = \dfrac{3}{8}

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

So, we're not working anymore with the space {1,2,3,4,5,6,7,8}, but rather with {1,3,5,7} (we already know that our number is odd).

Out of these 4 odd numbers, 3 are primes. This is why the probability of picking a prime number among the odd numbers in {1,2,3,4,5,6,7,8} is 3/4: they are literally 3 out of 4.

5 0
4 years ago
What is the vertex of the quadratic function f(x) = (x – 10)(x – 4)?
julia-pushkina [17]

Answer:

(7,-9)

Step-by-step explanation:

4 0
3 years ago
3 friends went to a coffee shop. Each of them got a muffin and two cups of coffee. The total cost of the order was $21.75. If a
Pavlova-9 [17]

Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure

Step-by-step explanation:

6 0
3 years ago
The marginal cost function of producing q mountain bikes is 600/0.3q+5.
wariber [46]
MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit) 
So we coordinate to get Cost work 
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining. 
We add that to settle cost 2059.23+2200=4259.24 
So 4259.24 is the cost. 
Income from offering the bicycle is 205*30=6150 
and Profit=Revenue-Cost 
6150 - 4259.24=1890.76 
Presently Marginal Profit 
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation. 
Marginal Profit=Marginal Revenue-Marginal Cost 
Marginal Cost=600/0.3q+5. 
We should connect to 31 to get 41.958 
Revenue= 205q 

Marginal rev=205 
Marginal Profit = 205-41.958=163.042

4 0
3 years ago
What is the solution to this equation?
beks73 [17]

Answer:

x = - \frac{1}{2}

Step-by-step explanation:

Given

4x - 6 = 10x - 3 ( subtract 10x from both sides )

- 6x - 6 = - 3 ( add 6 to both sides )

- 6x = 3 ( divide both sides by - 6 )

x = \frac{3}{-6} = - \frac{1}{2}

6 0
3 years ago
Read 2 more answers
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