Answer: 57
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Explanation:
Convert each raw score to a z score
If x = 63.4, then
z = (x-mu)/sigma
z = (63.4-72.3)/8.9
z = -1
if x = 81.2, then
z = (x-mu)/sigma
z = (81.2-72.3)/8.9
z = 1
So P(63.4 < x < 81.2) is the same as P(-1 < z < 1)
Through the empirical rule (aka the 68-95-99.7 rule), we know that roughly 68% of the data values are within one standard deviation of the mean. In other words
P(-1 < z < 1) = 0.68 approximately (see note below)
Multiply 0.68 by the total 84 to get
0.68*84 = 57.12
which rounds to 57 people
Note: we can use a calculator to get a more accurate result of 0.68268949; a data table works as well but it won't be as accurate. For the purposes of this problem, the value 0.68 is good enough
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Answer:
x- intercept = 6 or (6, 0 )
Step-by-step explanation:
to find the x-intercept, that is where the graph crosses the x-axis, let y = 0 in the equation and solve for x
y = 0 : 2x - 0 = 12 ⇒ 2x = 12 ⇒ x = 6 ← x- intercept
Step-by-step explanation:
Simple interest formula:
Total = principal x (1 + rate x years)
10 years:
Total = 15,000(1+0.04x10)
Total = $21,000
8 years:
Total = 15000(1+0.04x8)
Total = $19,800
Savings = 21,000 - 19,800 = $1,200
