As we look, line TU = 16. But, there are two lines right below it, and there are two lines on the line UW. Now, all that this means is UW is the same length as TU.
Since we know what TU and UW is and we need to add them together to find the total length of the line TW.
16 + 16 = 32.
Therefore, the length of line TW is 32 units long.
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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%
This is a multiplication problem.
3*3/4 is equal to (3*3)/4, which is equal to 9/4. This can be further simplified to the mixed number 2 1/4
Answer:
72x5−9x3+333x
Step-by-step explanation: