8 (2x - 14) + 13 = 4x -27
distribute 8 through the parentheses
16x - 112 + 13 = 4x - 27
combine like terms
16x - 99 = 4x -27
subtract 4x from each side
12x - 99 = -27
add 99 to each side
12x = 72
divide each side by 12
x = 6
Answer:
T = 91
Step-by-step explanation:
Simplifying
T + -15 = 76
Reorder the terms:
-15 + T = 76
Solving
-15 + T = 76
Solving for variable 'T'.
Move all terms containing T to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + T = 76 + 15
Combine like terms: -15 + 15 = 0
0 + T = 76 + 15
T = 76 + 15
Combine like terms: 76 + 15 = 91
T = 91
Simplifying
T = 91
This question is incomplete, the complete question is;
Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:
x 0 0.5 1 1.5 2 2.5
f(x) 0.1 0.2 0.3 0.2 0.1 0.1
determine;
a) P( X < 2.5 )
B) P( 0.75 < X ≤ 1.5 )
Answer:
a) P( X < 2.5 ) = 0.9
b) P( 0.75 < X ≤ 1.5 ) = 0.5
Step-by-step explanation:
Given the data in the question;
The probability mass function for X is:
x 0 0.5 1 1.5 2 2.5
f(x) 0.1 0.2 0.3 0.2 0.1 0.1
a) P( X < 2.5 )
P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]
so
P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1
P( X < 2.5 ) = 0.9
b) P( 0.75 < X ≤ 1.5 )
P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]
so
P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2
P( 0.75 < X ≤ 1.5 ) = 0.5
Answer:
X= -3,-5
Step-by-step explanation:
