Step-by-step explanation:
If two variables x and y are independent, then:
P(x and y) = P(x) P(y)
Or, in terms of conditional probability:
P(x given y) = P(x)
From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.
From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.
Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.
Answer: equation: y= 7/4x - 3
slope: 7/4
Step-by-step explanation:
xy² = x · y · y
xz = x · z
LCM(xy², xz) = x · y · y · z = xy²z
The Answer Is 60
2.5 x 8 The Number Of Sides On That Shape Was 8
2.5 x 8 = 20
20 times the radius 3
20 x 3 = 60
60cm^2
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Answer:
perimeter of the shaded region = 88 +44+28 =160 cm
Step-by-step explanation:
perimeter of shaded region = length AO + arc OB + arc AB
length AO = radius of bigger circle
radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm
therefore AO = 28 cm
length of arc oB= half of circumference of smaller circle = ×14 = 44 cm
length of arc ab = half of circumference of bigger circle = ×28 =×28= 88
therefore perimeter of the shaded region = 88 +44+28 =160 cm
area of the shaded region = half of area of bigger circle - half of area of smaller circle
=
=
solving we gen area of shaded region = 924