The sum of the first five terms is 11/2
<h3>How to determine the sum?</h3>
The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:

This gives

Evaluate

Evaluate

Hence, the sum of the first five terms is 11/2
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Theres 1760 yards in a mile so divide that by 2.
answer is 880
Answer:
12/17 miles
Step-by-step explanation:
Make the denominators equal -> 1/4 = 17/68, 3/34 = 6/68
17/68 inches represent 2 miles
The ratio between 17/68 and 6/68 is 17/68 : 6/68 = 17/6
So, the ratio between the distance should also be 17/6
-> 3/34 inches represent 2 : 17/6 = 12/17 (miles)
Hope it helps :)
Answer:
-0.075
Step-by-step explanation:
[Player R, Player C] cases & outcomes :-
- (Vowel, Vowel) = (0,0)
- (Consonant, Consonant) = (0,0)
- (Vowel, Consonant) = (6,-6)
- (Consonant, Vowel) = (-5,5)
- Prob (R chooses consonant) = 75% = 0.75
- Prob (R chooses vowel) = 1 - 0.75 = 0.25
- Prob (C chooses vowel) = 30% = 0.30
- Prob (C chooses consonant) = 1 - 0.30 = 0.70
Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant
= (0.75)(0.30)(-5) + (0.25)(0.70)(6)
-1.125 + 1.05
= -0.075
<u>Given </u><u>:</u><u>-</u>
- A line having a slope of 3/2 passes through (2,1) .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The equation of the line .
<u>Answer </u><u>:</u><u>-</u>
According to the question ,
We know <u>Point</u><u> slope</u><u> form</u><u> </u> of the line as ,
Substitute ,
- y - 1 = 3/2 ( x - 2 )
- y - 1 = 3/2x - 3/2*2
- y - 1 = 3/2x - 3
- 2( y -1) = 3/2x *2 - 3*2
- 2y - 2 = 3x - 6
- 3x - 2y -4 = 0
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3</u><u>x</u><u> </u><u>-2y</u><u>-</u><u>4</u><u>=</u><u>0</u><u> </u><u>.</u>