The discount is $2.60. $6.50 + $2.60 = $9.10. $9.10 is the original price.
The percentage of tardiness among the 102 pupils is 2.94.
<h2>Calculation of the percentage</h2>
According to the query,
Course A: Total number of students = 102
Number of tardy students = 3
Percent of students tardy in course A = (number of tardy students/total
number of students) * 100
=(3/102)*100
= 2.941
≈2.94
In case of course B: Total number of students = 85 & tardy student = 5
So, the percent of tardy student = (5/85)*100 = 5.88 %
Therefore, it is concluded that the percentage of student tardiness in course A is 2.94.
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Let X be a random variable representing the mean gray scale of each pixel.
P(110 ≤ X ≤ 140) = P(X < 140) - P(X < 110) = P(z < (140 - 125)/15) - P(z < (110 - 125)/15) = P(z < 1) - P(z < -1) = P(z < 1) - [1 - P(z < 1)] = 2P(z < 1) - 1 = 2(0.84134) - 1 = 1.68268 - 1 = 0.68268
Number of pixels that have gray scale of between 110 and 140 = 0.68268 x 1000000 = 682680 = approximately 680,000
Answer:
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
(x + 1)² = x² +2*x*1 + 1² = x² + 2x + 1
y = 4(x+1)² - 4
y = 4(x² + 2x + 1) - 4
y = 4*x² + 4*2x + 4*1 -4
y = 4x² + 8x + 4 - 4
y = 4x² + 8x