Part 1: 2×2×3×3×3=108 (c)
Part 2: 10×9×26×25×4=234000 (c)
Part 3: 10×9×8×7×6×5×4×3×2×1÷(3×2×1)=604800 (d)
Part 4: 11C4=11×10×9×8÷(4×3×2×1)=330 (a)
Part 5: ⅕=20% (c)
Part 6: 100-2.9=97.1 (d)
Answer:
0.2839 = 28.93%
Step-by-step explanation:
In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z
Le x be tons of coal in a car
Z = (x – mean)/standard deviation
Z = (x – μ)/ σ
P (x<68.5) = P(z < (68.5-69)/0.9)
P (x<68.5) = P(z < -0.5555)
Then we use the z table to find the area under the curve.
P (x<68.5) = 0.2893
She had bread for the hungry, clothes for the naked, and comfort for every mourner, that came within her reach. Slavery soon proved its ability to divest of her heavenly qualities. Under its influence the tender heart became stone, and the lamb-like disposition gave way to one of the tiger-like fierceness. From the excerpt above, which statement best describes the changes in his mistress’s character? She was always loyal only to the laws and to her husband. He felt sorry for her since she was oppressed, too. The change in her character was inexcusable. She was unwilling to face the conflict of betraying her culture for her personal beliefs.
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
Answer:
68%
Step-by-step explanation:
Probability of occurrence of Event v = P(v) = 28% = 0.28
Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19
We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)
The formula to calculate this conditional probability is:
Using the given values, we get:
Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%
