Answer:
Step-by-step explanation:
height of pyramid = √(10²-(5/2)²) = √93.75
volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³
lateral area = 2×5×10 = 100 in²
base area = 5² = 25 in²
surface area = 100+25 = 125 in²
Answer:
-25/36
Step-by-step explanation:
-5/6 x 5/6 = -25/36
There is no way to simplify it.
You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.
Answer:
The probability that the instrument does not fail in an 8-hour shift is 
The probability of at least 1 failure in a 24-hour day is 
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

Let X be the number of failures of a testing instrument.
We know that the mean
failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is 

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is 

Answer:
He would have to do 13 rides.
Step-by-step explanation:
If he initially pays $7, which lets him pay only $1 for each ride, so when he spends $20, he would have done 13 rides.
It says Sandeep has twice as much as Sonia. Thus, let Sandeep's amount be 2x and Sonia's amount be x.
Now, together they have 150.
Thus, the equation;
x+2x=150
Now let's solve the equation;
3x=150
x=150/3
x=50
Thus, Sonia has 50