The expected value of the inseam length of the jeans is found as
30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40
=
=
Hence, the third option 33.8 is the correct expected value.
Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days
1 answer:
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<h2>Answer: Lines b & c are parallel.⇄</h2>
Step-by-step explanation:
- When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
- When lines are parallel, they have the same slope.
Slope = ( y₂ - y₁) / (x₂ - x₁)
Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )
= 5 ÷ (- 8)
= - ⁵/₈
Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )
= - ⁵/₈
⇒ Line b ║ Line c
Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(,
) and (
,
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴ = -15 and
= x
∴ = 13 and
= y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴ = -24 and
= 15
→ Use the rule of the mid-point to find x and y
∵
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)