Answer: The width is the square root of 40 or 6.32
Step-by-step explanation:
9^2 + b^2 = 11^2 where b squared is the width
81 + b^2 = 121
-81 -81
b^2 = 40
b= 6.32
Since the values are the same on both sides the matrix value is a=1
Answer: $1000
Step-by-step explanation:
Annual demand (D) = 8000
Cost per order (S) = $1000
Cost per unit to print = $8 per book
Storage cost = $2 per book per year
The minimum total cost can be found thus :
√(2 × D × S) / storage cost * cost per unit
√(2 × 8000 × 1000) / (2 * 8)
√ (16,000,000 / 16
√ (1,000,000
= 1000
Hence , minimum total cost $1000
0.02% would be of choosing a blue and a yellow card because there 16 cards so you are only choosing two cards
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
