Yes.
The triangle inequality theorem states that a triangle is possible if the sum of two sides is larger than the 3rd side.
In this case, the sides are 4, 5 and 6.
4+5 is bigger than 6
4 + 6 is bigger than 5
5 + 6 is bigger than 4.
The sum of any 2 sides is always larger than the 3rd side, so this triangle is possible.
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Answer: <u>Yes</u>
Answer:
14 miles
Step-by-step explanation:
0.55×14+2.00=9.7 is how much she'll spend
The value of the expression is
-2(2a-4b+3c)
Answer: 57
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Explanation:
Convert each raw score to a z score
If x = 63.4, then
z = (x-mu)/sigma
z = (63.4-72.3)/8.9
z = -1
if x = 81.2, then
z = (x-mu)/sigma
z = (81.2-72.3)/8.9
z = 1
So P(63.4 < x < 81.2) is the same as P(-1 < z < 1)
Through the empirical rule (aka the 68-95-99.7 rule), we know that roughly 68% of the data values are within one standard deviation of the mean. In other words
P(-1 < z < 1) = 0.68 approximately (see note below)
Multiply 0.68 by the total 84 to get
0.68*84 = 57.12
which rounds to 57 people
Note: we can use a calculator to get a more accurate result of 0.68268949; a data table works as well but it won't be as accurate. For the purposes of this problem, the value 0.68 is good enough