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.
Answer:
y = 0.59x
Step-by-step explanation:
Cost per pound of banana = $0.59
If Number of banana's = x
Total Cost of an item = price per item * number of items
Therefore,
Total cost, y = price per pound of banana * number of bananas
y = 0.59 * x
y = 0.59x
Answer:
x =147
Step-by-step explanation:
The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)
42+(-124+x) =360-(2x+1)
Combine like terms
x-82 =359-2x
Add 2x to each side
x-82+2x = 359
3x -82 = 359
Add 82 to each side
3x-82+82 = 359+82
3x = 441
Divide by 3
3x/3=441/3
x =441/3 or 147
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid
we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base
using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm
the answer is
<span>
the length of the sculpture’s base is 9 cm</span>
the height of the sculpture is 6 cm
