<span>5x - 6 = 4x + 8
-4x -4x
x - 6 = 8
+6 +6
x = 14
Answer: x = 14</span>
Answer:
The probability that a randomly selected student has a score between 350 and 550 = 0.5867
Step-by-step explanation:
Mean
= 500
Standard deviation
= 110
Let X be the score of student in a standardized test
The probability that a randomly selected student has a score between 350 and 550 =
= 
=
Putting 
= 
= 0.6736 - .0869 ( Using Z table )
= 0.5867
Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
Explanation
Given that Sn = Sn-2 . (Sn-1 - 1)
Tn = Sn - Sn-1
Tn = Sn-2 . (Sn-1 - 1) - (Sn-3 . (Sn-2 - 1))
T3 = S1.(S2-1) - (S0.(S1-1)
T3 = 2.(3-1) - 1.(2-1)
T3 = 2(2) - 1(1)
T3 = 4-2
T3 = 3
T4 = S2.(S3-1) - (S1.(S2-1)
T4 =3.(-1) - 1.(2-1)
T4 = 2(2) - 1(1)
T4 = 4-2
T4 = 3
Answer:
27 calls
Step-by-step explanation:
Let T(x) represent total sales.
Then T(x) = $150 + ($2/call)x, where x is the number of calls made.
If T(x) = $204, we can solve for x, the number of calls made:
$204 = $150 + ($2/call)x, or
$ 54
----------- = 27 calls
$2/call