The GCF of 10 and 6 is 2. May this will help you.
44 tens is the same as
2 answers:
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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
Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,
So,
= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.