Vivian electronically transferred $398.65 from her checking account to Luther's checking account. In what column of the check re
2 answers:
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Answer:
Step-by-step explanation:
the system is : 3x + y + 2 = 0.......(1)
2x - y + 3 = 0......(2)
x+ py - 3 = 0......(3)
(1)+(2) : 3x+y+2 +2x-y+3 =0
5x+5 =0
so : x = -1
put x = -1 in equation (2) : 2(-1)-y+3 = 0
so : y = 1
the intersection point is A(-1 ; 1)
put x = -1 and y = 1 in equation (3) : -1+p(1)-3 =0 so : p = 4
sketch the line :3x + y + 2 = 0 and 2x - y + 3 = 0 and x+ 4y - 3 = 0
y = -3x-2 ...(color red) and y=2x+3....(color blue) and y = -1/4x +3/4...(color purple)
Answer:
(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.
The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.
The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.
(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.
Step-by-step explanation:
The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.
So, to find the first quartile, we need to find the z-score for which:
P(Z<z) = 0.25
using the normal table, z is equal to: -0.67
So, the value x equal to the first quartile is:
Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.
At the same way, the z-score for the second quartile is 0, so:
So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.
Finally, the z-score for the third quartile is 0.67, so:
So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.
Additionally, the z-score for the 99th percentile is the z-score for which:
P(Z<z) = 0.99
z = 2.33
So, the 99th percentile is calculated as:
So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.