Answer:
c. $1.07 is equivalent to 1 7/100
Step-by-step explanation:
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Given that the ,mean is 8000 and the standard deviation is 1000, thus the probability that <span>tube lasts for more than 11000 hours. will be given by:
P(x>11000)
the z-score is:
z=(x-</span>μ<span>)/</span>σ
x=11000
μ=8000
σ=1000
hence:
z=(11000-8000)/1000
z=3
thus
P(x>11000)=1-P(x<11000)
But
P(x<11000)=P(z<3)=0.9987
hence
P(x>11000)=1-0.9987=0.0013
Answer:
Option D.
Step-by-step explanation:
The give figure is a triangle having hypotenuse h = 40 in.
Now we have to select the scaled figure having dimensions with a scale factor of 
For option A.
Ratio of hypotenuse of both the triangles =

Therefore,this option is not correct
For option B.
Ratio of both the hypotenuse = 
So, option is not correct.
For option C.
Ratio of hypotenuse = 
Therefore, option is not the correct option.
For option D.
Ratio of hypotenuse = 
Therefore, option D is the correct option.
For this case we have the following operation:
538 - 247
To subtract both numbers we must follow the following steps:
1) Subtraction is done from left to right:
2) We subtract the first digits:
8 - 7 = 1
3) We subtract the second digits:
3 - 4
Since 4 is greater than 3 then we add a digit to 3 and accumulate it for the next subtraction:
13 - 4 = 9
4) We subtract the digit accumulated in the previous subtraction to the following number:
5 - 2 - 1 = 2
Finally the result is:
538 - 247 = 291