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%.
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Answer:
A
Step-by-step explanation:
Given a sinusoidal function (sine function or cos function) in the form
y = A Cos (Bx), we can say that A is the amplitude.
<em>Amplitude defines the function's maximum and minimum.</em>
The maximum of this form of function is A and the minimum is -A.
The function given is y = -Cos(8x), so A is -1
Thus, maximum value is 1 and minimum value is -1.
Correct answer is A
15.8 I believe. Since 20 isn’t a option 15 is the closest. Good luck I have good faith I have you the right answer
Hey You!
32 / 8 = 4
4 × 7 = 28
20. ANSWER:
The fish swims 28 feet deep.
21. ANSWER:
Numerator;Denominator
22. ANSWER:
439 / 3 = 146.3333 repeat.
So, each individual computer costs more than each individual printer.
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
