Answer:
h = 3
Step-by-step explanation:
-8 + 3h = 1
Add 8 to both sides.
3h = 1 + 8
Add 1 and 8 to get 9.
3h = 9
Divide both sides by 3.
h =
Divide 9 by 3 to get 3.
h = 3
Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons
ider the probability model defined by the cumulative distribution function given below.0 x < 3F(x) = (x-3)/1.13 3 < x < 4.131 x > 4.13What is E(X)? Give your answer to three decimal places.What is the value c such that P(X < c) = 0.75? Give your answer to four decimal places.What is the probability that X falls within 0.28 minutes of its mean? Give your answer to four decimal places.
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Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units