Answer:
m∠K = 97°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360
127 + 5x + 3 + 10x + 7 + 88 = 360
15x + 225 = 360
15x = 135
x = 9
m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°
Mean is
and a standard deviation is
, then the variable
.
Use substitution
.
This substitution gives you that
.
a. For X=130,
and
(the decimal value is taken from the Standard Normal Distribution Table).
b. For X=90,
and for X=110,
. Then
(the decimal value is taken from the Standard Normal Distribution Table).
Answer:
Equation: 
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' = 
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8': 
'20 less than the number': n - 20
Set them equal to each other and solve: 
Add 20 to both sides: 
Subtract
from both sides: 
Multiply both sides by
: 
Solve for n: n = 112
Answer: A
Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition
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