In a class, there are io boys and 15 girls. three students are selected at random. The probability that the selected students are 1 boy and 2 girls, is options: a. 25/36 b. 18/23 c. 21/46 d. 1/32
Answers
Answer:
Step-by-step explanation:
Correct option is C)
There are 15 boys and 10 girls in a class
We have to select 3 students such that there should be 1 girl and 2 boys
The number of ways we can select 3 students is
25C3=2300
The number of ways we can select 3 students such that there is 1 girl and 2 boys is 15×7×10=1050
The probability is 1050/2300 =21/46
Therefore the correct option is C
Final answer:
finding the number of combinations for the desired scenario and the total possible combinations, we find that the probability is 21/46.
Explanation:
In order to solve this problem, we need to apply the principles of combinatorics and probability. The total number of students in the class is 25 (10 boys and 15 girls). Firstly, let's calculate the combinations for the scenario of selecting 1 boy out of 10. This can be done by 10C1 resulting in 10 possibilities. Secondly, let's calculate the combinations of selecting 2 girls out of 15, which is 15C2 and gives us 105 possibilities.
Multiply those together to find the total scenario we're interested in, which is 1,050. The total possible combinations of selecting 3 students out of 25 irrelevant of gender would be 25C3, resulting in 2,300 possible combinations.
Therefore, the probability that the selected students are 1 boy and 2 girls is 1,050/2,300. Simplifying this fraction gives us 21/46.
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f(x)=8x
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Answers
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That's the value of h. Cheers.
A.) simple random sampling.
B.) stratified sampling.
C.) systematic random sampling.
D.) cluster sampling.
Answers
Answer:
Please help and NO LINKS
Please help and NO LINKSTo conduct a survey about the type of phone service most people in Greenville prefer, 10 different blocks in the neighborhood are chosen. On these 10 blocks, 10 houses are selected at random, and then one resident of each of those houses is interviewed. This type of sampling method is(A)
Step-by-step explanation:
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Answer:
Cluster sampling
Step-by-step explanation:
AI-generated answer
The sampling method described in the question is cluster sampling. In cluster sampling, the population is divided into clusters or groups, and then a random sample of clusters is selected. In this case, the blocks in the neighborhood are the clusters.
Here is a step-by-step explanation of why this is cluster sampling:
1. The first step is to divide the population into clusters. In this case, the population is the neighborhood, and the clusters are the different blocks within the neighborhood.
2. Next, a random sample of clusters is selected. The question states that 10 different blocks in the neighborhood are chosen. This means that the researchers randomly selected 10 blocks from the neighborhood.
3. Once the clusters are selected, a sample is taken from each cluster. The question states that on these 10 blocks, 10 houses are selected at random. This means that within each of the 10 selected blocks, 10 houses are chosen randomly.
4. Finally, the residents of each selected house are interviewed. This means that every resident of each of the selected houses is interviewed to gather information about the type of phone service they prefer.
Overall, this sampling method is cluster sampling because the population is divided into clusters (blocks), a random sample of clusters (10 blocks) is selected, and then a sample is taken from each selected cluster (10 houses on each block).
Answers
Answer:
y =
Step-by-step explanation:
When doing problems like these, you should go through the process like using PEMDAS:
P - Parenthesis ()
E - Exponents
M - Multiply x
D - Division ÷
A - Addition +
S - Subtraction -
1) Since there aren't any Parentheses, or exponents, we should then check for any use of Multiplication.
As shown, there are no shown methods of multiplying.
BUT there is Division, so we will do the opposite of division, which is multiplication.
K = m - n ÷ y
y(K = m - n ÷ y)y
^ Trying to multiply 'y' onto both sides, because when you do something to one side, you do to the other. ^
'y' then cancels out on one side, so you will be left with:
= m - n
But on the other side you will have:
Ky
So your problem will look like:
Ky = m - n
2) Since we are trying to get 'y' by itself, instead of multiplying now, we will be dividing, because:
K(y) = Ky or you can also say K x y = Ky
Back to the problem, we will now divide 'K' to both sides, as stated before:
What you do to one side, you do to the other:
'K' will cancel out on one side:
Leaving you with:
'y'
While the other side, will be left as:
So your final answer will be:
Answers
Answers
Answer:
21
Step-by-step explanation: