A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is an geometric series, the details of the series are:
a₁ = 150
r = 60/150 = 0.4
n = 7
The sum of the geometric series is,
S = 150(1-0.4⁶)/(1-0.4)
S = 248.976 ≈ 249
Hence, the sum of the first seven terms of the series is 249.
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Answer:

Step-by-step explanation:
Given:


We know that, conditional probability of B given that A has occurred is given as:
. Expressing this in terms of
, we get

Plug in the known values and solve for
. This gives,

Therefore, the probability of events A and B occurring is
.
3x600= 3 x 6 hundreds
= 18 hundreds
<span>= 1,800</span>
Answer:

Step-by-step explanation:
In any right triangle, the following is true:
The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)
The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)
Thus,


Answer:
Two fifths v plus three fourths equals two thirds x
Step-by-step explanation: