1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Considering that the hypothesis test found an statistically significant result, it is found that the correct option is:
c. probability of obtaining this finding by chance alone is less than some quantity.
<h3>What is an hypothesis test?</h3>
- When a hypothesis test, there are two hypothesis, the null and the alternative hypothesis.
- There is also a significance level.
- If the probability of obtaining the finding by chance is less than the significant value, the result is statistically significant.
Hence, according to these bullet points, option C is correct.
You can learn more about hypothesis tests at brainly.com/question/16313918
Answer:
2⁴
Step-by-step explanation:
4² would be 4x4 not 2x2x2x2
2x2x2x2 would be 2⁴.
Answer:
A.
Step-by-step explanation:
1 radian = 180/π
So
Multiplying both sides by 25π/18
We'll get,
25π/18 (r) = (180/π)×(25π/18)
= (180×25)/18
= 10×25
= 250 degrees
