We use the Markov's inequality to solve for (a) and (b)
P(X > 18) = 16/18 = 8/9 or 0.8888 or 8.88%
P(X > 25) = 16/25 = 0.64 or 64%
For c, we use the z-score with the standard deviation as the square root of the variance
σ = √9 = 3
z = (X - μ) / σ
The limits are 10 and 22
For 10, the z-score is:
z = (10 - 16) / 3 = -2
For 22
z = (22 - 16) / 3 = 2
We use the z-score table to get the corresponding probability of the two limits and subtract the smaller probability from the bigger probability to get the actual probability. So, from the z-score table:
for z = -2, P = 0.0228
for z = 2, P = 0.9772
0.9772 - 0.0228 = 0.9544
The probability is 0.9544 or 95.44%
For (d), we do the same thing but we subtract the obtained probability from 1 since the condition is that the sales exceed 18
z = (18 - 16) / 3 = 0.67 which correspond to P = 0.7486
1 - 0.7486 = 0.2514
The probability is 0.2514 or 25.14%
Answer:
true
Step-by-step explanation:
decimal numbers are rational.
If it takes that long to make one pair, then i’d say maybe 468 hours to make all 36 pairs
2x-1/2=3-x
x2 x2
2x-1=3-2x
+1 +1
2x=4-2x
+2x +2x
4x=4
/4 /4
x=1
Answer:
15
Step-by-step explanation:
Multiples of 5 are:
5 10 15 20 25 30.........
Now we are having solution set 19
Multiples of five below 19 are:
5 10 15
Largest of 5 10 15 = 15
So the largest multiple of five that lies in the solution set for 19 is 15