Answer:
2.5%
Step-by-step explanation:
The percentage of people taking the test who are above 698 is ___%
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question, we have:
Mean of 514 and a Standard deviation of 92
Hence:
μ ± xσ
514 ± 92x = 698
514 + 92x = 698
92x = 698 - 514
92x = 184
x = 184/92
x = 2
Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:
100 - 95% /2
= 5/2
= 2.5%
The percentage of people taking the test who are above 698 is 2.5%
10q-3r=14, 10q=3r-14 10q=3r/10+14/10
q=3/10r+7/5
(3^3 - 9 )^2
First do what is inside the parenthesis:
3^3 = 27
Now you have:
(27-9)^2
Subtract:
27-9 = 18
Now you have:
(18)^2
Raise 18 to the second power:
18^2 = 324
We are asked to find f(x) and g(x) so the function can be expressed as y = f(g(x) such that y = y =2/x^(2) + 3. There are many possibilities here but we go to the simplest ones. we can have g (x) = x2 and f(x) is equal to 2/x + 3.