Answer:
<em> = n² + 4n ; n = 11 </em>
Step-by-step explanation:
=
[2
+ (n - 1)d]
~~~~~~~~~
= 5
d = 7 - 5 = 2
=
[ 2(5) + 2(n - 1)] =
( 8 + 2n ) = 4n + n²
<em> = n² + 4n</em>
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ <em>n = 11</em>
Answer:
P (X | CI) = 0.7313
Step-by-step explanation:
X = event of getting a job
CI = Campus interview
P (X | CI) = p ( CI ∩ X) / P ( CI ) = P( CI | X)P(X) / P( CI | X)P(X) + P( CI | X')P(X')
P (X | CI) = 0.93 * 0.17 / 0.93 * 0.17 + 0.07 * (1 - 0.17)
P (X | CI) = 0.93 * 0.17 / 0.93 * 0.17 + 0.07 * 0.83
P (X | CI) = 0.1581 / 0.1581 + 0.0581
P (X | CI) = 0.1581 / 0.2162
P (X | CI) = 0.73126735
P (X | CI) = 0.7313
a) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
The answer is $122.13
Explanation:
610 • 0.32 = 1,105.6
Then you’re going to add everything up:
650 + 260.40 + 260.40 + 16.95 + 11.56 + 10.56 + 17.84
And get =
1,227.73
And you’re going to subtract that with 1,105.6 and get the answer.