Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
Taking square root on both sides

x=±4
2. t^2=81
Taking square root on both sides

t=±9
3. r^2-100=0

r=±10
4. x²-144=0
x²=144
Taking square root on both sides

x=±12
5. 2s²=50

s=±5 ..
5 people.
14 + 9 + 12 + 13 + 12 = 60 total pencils.
60 pencils / 5 people = 12 pencils each.
<u>ANSWER: </u>
In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.
<u>SOLUTION:
</u>
Given, in a data set with a range of 55.4 to 105.4 and 400 observations.
There are 176 observations below the value of 86, and we need to find the percentile for 86.
We know that, percentile formula = 
Percentile of 86 = 
Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,
= 49
So, percentile of 86 = 49
Hence, 86 lies in the 49th percentile.
Answer:
C. 905 in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
We know that the volume of a sphere is expresses as
V= 4/3πr³
Given that the diameter of the sphere is 12inches
Radius r= 12/2= 6 inches
Substituting our radius we can solve for the volume
V=4/3(3.142*6³)
V= (4*3.142*216)/3
V= 2714.68/3
V= 904.9in³
Approximately V= 905in³
The situation will be represented by linear equation, this is given by:
y=ax+b
where:
a=slope=rate
b=y-intercept
from our situation:
a=-1/20
b=5 ft
thus the equation modeling the situation will be:
y=-1/20x+5
Answer: y=-1/20x+5