35 because 40-12= 28 and 28+7=35
So for this, we will be simplifying √180 and √125 using the product rule of radicals (√ab = √a * √b)
Starting with √180:
Now with √125:
Now that we have our simplified radicals, our equation looks like this: 6√5 - 5√5 + √5 . Combine everything, and your answer will be 2√5.
Answer:
180 degrees
(x,y) becomes (-x,-y)
270 degrees
(x,y) becomes (y,-x)
90 degrees
(x,y) becomes (-y,x)
Step-by-step explanation:
Here, we want to write a rule for each of the counterclockwise rotation
The rule are as follows;
180 degrees
(x,y) becomes (-x,-y)
270 degrees
(x,y) becomes (y,-x)
90 degrees
(x,y) becomes (-y,x)
Answer: 7881
Step-by-step explanation:
Given : A certain type of light bulb has an average life of 900 hours, with a standard deviation of 100 hours.
i.e.
Let x be the random variable that represents the length of life of the bulb .
Now , we find the z-score for this :
For x=820
Now, the probability that the length of life of the bulb is more than 820 hours is given by :-
Now, the number of bulbs installed in amusement park =10,000
Then , the number that can be expected to last more than 820 hours :-