Answer:
5/8
Step-by-step explanation:
1/4 (2/2)=2/8
3/8 (already simplified)
2/8+3/8=5/8
The longest side of a triangle must be less than the sum of the other 2 sides
2 senarios
the 3rd side is the longest
the 3rd side is not the longest
for the 3rd side is the longest
3rdside<28+42
3rdside<70
for 3rd side isn't the longest
42 is longest
42<28+3rdside
14<3rdside
so we've got
3rdside<70 and 14<3rdside
so
14<3rdside<70
the 3rd side can be any number from 14in to 70in except 14in and 70in
Answer:
B
Step-by-step explanation:
We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.
We are asked to find the percentage of students that are between 14 and 18 years old.
First of all, we will find z-score corresponding to 14 and 18 using z-score formula.




Similarly, we will find the z-score corresponding to 18.



Now we will find the probability of getting a z-score between
and
that is
.

Using normal distribution table, we will get:


Let us convert
into percentage.

Therefore, approximately
of the students are between 14 and 18 years old.