Answer:
b) 0.5
c) 0.633
Step-by-step explanation:
a) Please find the attached image - tree diagram
b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results = 2/3 * 3/4 = 1/2 = 0.5
c) P (selected campaign is satisfactory)
= P(A's campaign and satisfactory) + P(B's campaign and satisfactory)
= 2/3*3/4 + 1/3*2/5
= 0.6333
Answer:
Option D
Step-by-step explanation:
Out of all given options, Option D (the parallelogram) will tessellate the easiest.
Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.
Option A and Option C's shape wouldn't tessellate because it would leave a gap. To add, Option C's shape is nearly impossible to tessellate.
Answer:
Louis has faster pitch when compared to each of their teams.
Step-by-step explanation:
We have two pitchers which we need to compare to each of their teams.
To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.
For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Jerry speed is approximated by the standard normal distribution:
For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Louis speed is approximated by the standard normal distribution:
As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.