Answer:
x=2/3
Step-by-step explanation:
(2x+1)/2 = 2 1/3/4
Multiply 4 on both sides:
2x+1=2 1/3
Rewrite:
2x+1=7/3
Subtract 1 on both sides:
2x=4/3
Divide 2 on both sides:
x=2/3
Thus x=2/3
Hope this helps!
Answer: 362,880
Step-by-step explanation: At first glance of the question, it doesn't seem that the order matters, which would make it a question of how many combinations there are. The simple way to look at it is that there are 9 trees and he's planting 8, leaving out 1. Since there are 9 possible trees to leave out, there are 9 possible combinations of which 8 trees to plant.
The formula would be 9!/([9-8]!*8!) = 9
If the question is indeed asking for permutations (order matters), since you are choosing 8 out of 9 the formula would be 9!/(9-8)! = 9!/1! = 9! = 362,880
The question is asking for the lower bound of the 95% two tailed Confidence interval of the normally distributed population.
95% C.I. is given by 200 + or - 1.96(25) = 200 + or - 49 = (151, 249)
Therefore, the minimum weight of the middle 95% of players is 151 pounds.
Answer:
54 degrees.
Step-by-step explanation:
So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).
Given this, set these values equal to each other to get the value of a.
d = a + b
2a = (a+10)+44
2a = a + 54
a = 54
The measure of the exterior angle is 54 degrees.