Answer:
Step-by-step explanation:
let’s say each side length is called a, b, and c
to find out if a side length is a solution you have to know that
a < b + c
b < a + c
c < a + b
if all of these are true then the given lengths can be the sides of a triangle
ex:
a = 3, b = 4, c = 5
3 < 4+5
3 < 9
this is true
4 < 3+5
4 < 8
this is true
5 < 3+4
5 < 7
this is true
so these side lengths can make a triangle
however, if one of these inequalities weren’t true (ex: 9 < 4) you wouldn’t be able to make a triangle with the given side lengths
Answer: 197.292
Step-by-step explanation:
For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
Answer:
No student liked only Nokia
Step-by-step explanation:
The information can be illustrated as shown on the Venn diagram.
The number of students who liked only Nokia is x.
The sum of all regions in the Venn diagram should be 40.
We add all to get:
Therefore no one liked only Nokia
