Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300] = 50/400 = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300] = 250/400 = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400 = 40
Subtract this from the farthest distance;
700miles - 40miles = 660miles
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:

For x = 78, the z score is:

From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
Answer:
436 items
Step-by-step explanation:
When a quantity A is inversely proportional to another quantity B, we can write:

Where k is the proportionality constant [that we need to find]
For this problem, we can write the ratio as:

Now given N = 480 and C = 4.90, we first find k:

Now, as second step, we need this time to find N, when
C = 5.40
Note, we know know k = 2352, so we find N:

Rounding to next whole number, we have 436 items
Answer:
<u><em>B</em></u>
Step-by-step explanation:
- <em>4/1 * 1/3</em>
- <em>4 * 1 = 4</em>
- <em>1 * 3 = 3</em>
- <em>4/3; 1 1/3</em>
Answer:
Step-by-step explanation:
A diameter of the circle.