Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
You could just multiply the whole number with the numerator and then divide the answer by the denominator. Or you could write the whole number over 1, and then simplify the numbers before multiplying straight across.
2/3 x 36
2/3 x 36/1
2/1 x 12/1 (simplified the 3 and the 36)
24/1=24 (just multiplied across)
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
Answer:
8.1835
9.85
10.67
Step-by-step explanation:
9514 1404 393
Answer:
-25 dollars per month
Step-by-step explanation:
It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...
(months, dollars) = (1, 675) and (4, 600)
Using the slope formula, we have ...
m = (y2 -y1)/(x2 -x1)
m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month
