Answer:
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
Step-by-step explanation:
Lets look at a couple of examples
Example 1
4 ÷ 1/3
Copy dot flip
4 * 3/1 = 12
Whole number
Example 2
2 ÷11/12
Copy dot flip
2 * 12/11
24/11
11 goes into 24 2 times
11*2 = 22
24-22 =2
11 goes into 24 2 times with 2 left over, The left over goes over the denominator.
2 2/11
2 2/11 is a mixed number not a whole number
Example 3
8 ÷2/11
Copy dot flip
8 * 11/2
88/2
44
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
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
Answer:
the difference is -46 degrees
Step-by-step explanation:
Answer:
Please look at the image below.
Step-by-step explanation:
If you fix this equation into the y-intercept form(y=mx+c), it will become:
-2y=-x+3
y=x/2-3/2
Looking at this, x/2 is the slope, and -3/2 is the y-intercept.
Hope this helps!!!!
