Answer:
Domain is: 0 ≤ n ≤ 75 where n is an integer
Step-by-step explanation:
Answer: the probability that the person is between 65 and 69 inches is 0.54
Step-by-step explanation:
Since the height for Asian adult males is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = height for Asian adult males.
µ = mean height
σ = standard deviation
From the information given,
µ = 66 inches
σ = 2.5 inches
We want to find the probability that the person is between 65 and 69 inches. It is expressed as
P(65 ≤ x ≤ 69)
For x = 65
z = (65 - 66)/2.5 = - 0.4
Looking at the normal distribution table, the probability corresponding to the z score is 0.34
For x = 69
z = (69 - 66)/2.5 = 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.88
Therefore,
P(65 ≤ x ≤ 69) = 0.88 - 0.34 = 0.54
we know that
The measure of the angle formed by
chords that intersect inside the circle is
the sum of the chords' intercepted arcs. (Angles of intersecting chords theorem)
so
in this problem
![63=\frac{1}{2}*(SR+TU)\\ \\ 63=\frac{1}{2}*(55+TU)\\ \\ TU=63*2-55\\ \\ TU=126-55\\ \\ TU=71](https://tex.z-dn.net/?f=%2063%3D%5Cfrac%7B1%7D%7B2%7D%2A%28SR%2BTU%29%5C%5C%20%5C%5C%2063%3D%5Cfrac%7B1%7D%7B2%7D%2A%2855%2BTU%29%5C%5C%20%5C%5C%20TU%3D63%2A2-55%5C%5C%20%5C%5C%20TU%3D126-55%5C%5C%20%5C%5C%20TU%3D71%20)
therefore
the answer is
The measure of the arc TU is equal to ![71degrees](https://tex.z-dn.net/?f=%2071degrees%20)
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
One solution is (–1, <span> ⇒ 16</span>).
The second solution (2, <span> ⇒ 10</span>). your welcome