Given:
μ = $3.26 million, averaged salary
σ = $1.2 million, standard deviation
n = 100, sample size.
Let x = random test value
We want to determine P(x>4).
Calculate z-score.
z = (x - μ)/ (σ/√n) = (4 - 3.26)/(1.2/10) = 6.1667
From standard tables,
P(z<6.1667) = 1
The area under the distribution curve = 1.
Therefore
P(z>6.1667) = 1 - P(z<=6.1667) = 1 - 1 = 0
Answer: The probability is 0.
Answer:
(h, k )
Step-by-step explanation:
given the standard form of an absolute function
f(x) = a| x - h | + k , then
vertex = (h, k )
Answer:
P = (21.4a+36.6) cm
Step-by-step explanation:
Given that,
The width of a rectangle, b = (6.9a+8.5) cm
The length of a rectangle, l = (3.8a+9.8) cm
We need to find the perimeter of the rectangle. Perimeter is the sum of all sides. So,
P = 2(l+b)
Put all the values,
P = 2(6.9a+8.5+3.8a+9.8)
= 2(6.9a+3.8a+8.5+9.8)
= 2(10.7
a+18.3)
= (21.4a+36.6)
So, the perimeter of the rectangle is (21.4a+36.6) cm.
Answer:
y = 3/5 x+3
Step-by-step explanation:
two points on the graph
(-5,0) (0,3)
the y intercept is 3 (this is where it crosses the y axis)
the slope is
change in y 0 to 3 up 3
------------------ = -------------- = ------- = 3/5
change in x -5 to 0 right 5
we can tell the slope is positive because it goes from bottom left to top right
a negative slope goes from top left to bottom right
slope intercept form is
y=mx+b
y = 3/5 x+3
