Answer:
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2(4x+5)>7x+20 perform indicated multiplication on left side
8x+10>7x+20 subtract 7x from both sides
x+10>20 subtract 10 from both sides
x>10
or in interval notation, x=(10, +oo)
Answer:
The correct option is b.
Step-by-step explanation:
The formula for standard deviation is
where, 
is mean of the data and n is number of observation.
The variance of a stock's returns can be calculated by the above formula.
Variance of stock's returns is the average value of squared deviations from the mean.
Therefore the correct option is b.
Answer:
The answer is given below
Step-by-step explanation:
The loads in the circuit are continuous duty, so the circuit can only loaded to 80% of its current rating.
Calculate 80% current rating of the circuit breaker.
Icb = [ 80/100] (20 A)
= (O.8) (20 A )
= 16 A
Now we assume that the value of supply voltage is 120 V
Now we will calculate current flows via under water light which will be taken as Load 1
<em>Ii = </em>500 W/120 V
= 4.167 A
Current via the circulating pump which will be taken as Load 2 IS 8.5 A
<em>I = </em>load1 + load 2
<em> = 4.167 A + 8.5 A</em>
<em> = 12.67 A</em>
The total current in the circuit obtained which is less than the circuit breaker rating current. Therefore, the power can be operated for both the loads.
Answer: second option.
Step-by-step explanation:
Given the transformation 
→
You must substitute the x-coordinate of the point A (which is 
) and the y-coordinate of the point A (which is 
) into to find the x-coordinate and the y-coordinate of the image of the point A.
Therefore, you get that the image of A(2,-1) is the following:
You can observe that this matches with the second option.
