Which values are solutions to the inequality below? Check all that apply
1 answer:
Given inequality:
To find:
Which values are solutions to the inequality.
Solution:
Substitute the values in the x place.
Option A: 48
6.9 ≤ 7
Therefore 48 is one solution of the inequality.
It is true.
Option B: -5
We cannot compare a complex number and a real number.
Therefore -5 is not a solution of the inequality.
it is not true.
Option C: 50
7.07 > 7
Therefore 50 is not a solution of the inequality.
It is not true.
Option D: 49
7 ≤ 7
Therefore 49 is one solution of the inequality.
It is true.
Option E: 44
6.6 ≤ 7
Therefore 44 is one solution of the inequality.
It is true.
Option F: 2401
49 > 7
Therefore 2401 is not a solution of the inequality.
It is not true.
Therefore 48, 49 and 44 are solutions to the inequality.
You might be interested in
Answer:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
And we have:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.