Answer:
C
Step-by-step explanation:
∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD
The 3 angles form a straight angle and sum to 180°, that is
4x + 5 + 6x + 3 + 5x + 7 = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus
∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )
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:
Step-by-step explanation:
<u>We can't multiply.</u>
<u>We got to count up by 12's for each 1/2 hour.</u>
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168.
<u>Simplified:</u>
- 24, 48, 72, 96, 120, 144, 168.
<u>Estimate:</u>
- 12 = 1/2 hour
- 24 = 1 hour
- 36 = 1 1/2 hours
- 48 = 2 hours
- 60 = 2 1/2 hours
- 72 = 3 hours
- 84 = 3 1/2 hours
- 96 = 4 hours
- 108 = 4 1/2 hours
- 120 = 5 hours.
- 132 = 5 1/2 hours
- 144 = 6 hours
- 156 = 6 1/2 hours
- 168 = 7 hours.
Answer is 168.
Answer:
Step-by-step explanation:
We want to find 
. 
can be written as 
, so we can now write our original equation as: 
.
We can combine like terms: 
Hope this helps!
Okay, so all the angles of the triangle will add up to 180
You know one side is 104 and the other two are equal to each other.
180-104= 76
76 is both of the angles together so divide it by two to get 38
X=38
:)
