Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is 
The sample size is 
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

Now the mean is mathematically evaluated as

=> 
=> 
The standard deviation is mathematically represented as

=> 
=> 
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
Now applying Continuity Correction we have

Generally 

From the z-table

Thus
Answer:
BD
Because it is straight line segment that passes through center from one point in circumference to other
Sonia saves a lot of water. To figure this out, you plug the number 8 into the equation, replacing it with the variable x. y = 3(8). Therefore, y=24. To find out how much water she saves, you have to also figure out how much water she was using for 8 minutes with the other shower head, the one that wastes the water. Since it dispenses 12 gallons per minute, you multiply that by 8 minutes and get 96. Subtract 24 from 96 and get 72. Which I think is your answer. Then again, I'm in high school so I most likely am wrong.
Answer:
5.4 > x > 2.8
Step-by-step explanation:
Sum of two sides is always greater than the third side
Case1 :
4.1 + 1.3 > x
5.4 > x
Case2:
4.1 + x > 1.3 or 1.3 + x > 4.1
x > 1.3 - 4.1 or x > 4.1 - 1.3
x > - 2.8 or x > 2.8
Note that it is obvious x is not -ve so neglect -2.8. x > 2.8
Hence,
5.4 > x > 2.8
Answer:
$367.50 and y=0.3x+300
30% of 225 is 67.50 and her guaranteed salary is 300 so 300+67.50=$367.50.