Answer:
5
Step-by-step explanation:
Sum of interior angles in a 4 sided quadrilateral is 360,
110 + 70 + 14x + 23x - 5 = 360
180 + 37x - 5 = 360
180 - 5 + 37x = 360
175 + 37x = 360
37x = 360 - 175
37x = 185
x = 185 / 37
x = 5
Answer:
586.5 ft.
Step-by-step explanation:
Find the Perimeter of the gym which is a rectangle. Formula is 2 (L+W) so,
2(65.5+32.25) = 195.5ft then multiply by 3 times around the perimter of the gym
(195.5 x3= 586.5 ft)
a is given to us so just plug a into the first equation:
b-3 - 3b =9
Add 3 to both sides:
b-3b=12
Combine like terms:
-2b=12
Divide by -2 to get b by itself:
b=-6
The only answer with b as -6 is the first one, (-9,-6)
1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.
Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.
(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be
Hence, a) (176.76,172.24), b) 0.976.
