The first one.............
Answer:
<span>B. 3 ft, 5 ft and 7 ft
</span>
Explanation:
In any triangle, the sum of any two sides must be greater that the third one.
Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle
Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect
2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct
3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect
4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect
Based on the above, the only correct option is B.
Hope this helps :)
Answer:
The 95% confidence interval based on this sample is =
[6.41, 7.79]
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Sample mean = 7.1 hours
Standard deviation = 5 hours
n = 200 students
z = 95% confidence interval z score
= 1.96
C.I = 7.1 ± 1.96 × 5/√200
C.I = 7.1 ± 0.693
Hence, Confidence Interval
= 7.1 - 0.693
= 6.407
Approximately = 6.41
= 7.1 + 0.693
= 7.793
Approximately = 7.79
Therefore, the 95% confidence interval based on this sample is
[6.41, 7.79]
Answer:
The answer is $350
Step-by-step explanation:
00 = 8 hours
28/8 = 3.5
3.5(100) = 350
The worker would earn $350 in 28 hours
Answer:
A. 35.69%
B. 62.77%
Step-by-step explanation:
In this case, what we must do is calculate the probability supported with the data in the table.
Part A.
What is the probability that a randomly selected student is a 7th grader?
Here the total is all the students that would be the sum of all the grades, which are 325 students.
the number of 7th graders is 116, so the probability is:
116/325 = 0.3569
that is, 35.69%
Part B: What percentage of the students interviewed play Video games?
The total number of students is the same 325 and of those 204 play video games, therefore:
204/325 = 0.6277
that is, 62.77%
