Answer: 0.345
Step-by-step explanation:
Given : The incomes of families in Newport Harbor are normally distributed with Mean :
and Standard deviation : 
Samples size : n=4
Let x be the random variable that represents the incomes of families in Newport Harbor.
The z-statistic :-

For x= $800,000

By using the standard normal distribution table , we have
The probability that the average income of these 4 families exceeds $800,000 :-

Hence, the probability that the average income of these 4 families exceeds $800,000 =0.345
Answer:
16,20
Step-by-step explanation:
As shown, you add four by each.
4+4=8
8+4=12
So, 12+4=16
16+4=20
By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
(Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
(Arc) QPT = 56.55 units
Answer:
(Arc) QPT = 56.55 units
A Rhombus has four equal straight sides. We can assume that the rhombus in this problem is square-shaped with 90° angles.
m1 = 18x ; 90 = 18x ; 90/18 = x ; 5 = x
m2 = x + y ; 90 = 5 + y ; 90 - 5 = y ; 85 = y
m3 = 30z ; 90 = 30z ; 90/30 = z ; 3 = z
x = 5 ; y = 85 ; z = 3
x + y + z ⇒ 5 + 85 + 3 = 93