Answer:
The probability that a high school member selected at random is on the swim team is 
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
What is the probability that a high school member selected at random is on the swim team?
The probability that a high school member selected at random is on the swim team is
If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.
A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;
Z = x - μ / σ
In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.
The p-value can be used to determine the z-score with the help of a standard table.
As we have to find the minimum score to be in the top 2%, p-value = 0.02
The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054
Therefore,
2.054 = x - 76.4 ÷ 6.1
2.054 × 6.1 = x - 76.4
12.529 = x - 76.4
12.529 + 76.4 = x
x = 88.929
Hence 88.929 is calculated to be the lowest score required to be in the top 2%.
To learn more about normal distribution, click here:
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Answer:
The mean is 14.167
Step-by-step explanation:
In order to find the mean, you must add all of the numbers together and then divide by the number of inputs.
(7 + 4 + 8 + 9 + 12 + 45)/6
85/6
14.167
Answer:
x=41
Step-by-step explanation:
0.25(x-13)=7
We move all terms to the left:
0.25(x-13)-(7)=0
We multiply parentheses
0.25x-3.25-7=0
We add all the numbers together, and all the variables
0.25x-10.25=0
We move all terms containing x to the left, all other terms to the right
0.25x=10.25
x=10.25/0.25
x=41
