1. .11111 (continued)
2. .015625
3. .015625
To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base.
Answer:
<h2>y=60+25h+0.3r</h2>
Step-by-step explanation:
let y be the total charges
given that the hour is h
and the cost for raw material is r
therefore
1. The first hour of service call = $60
2. For each additional hour= 25h
3. 30% over the cost of the materials.= 30/100*r=0.3r
total charges
y=60+25h+0.3r
therefore the expression is
y=60+25h+0.3r
Answer:
A)
μ = 5
σ = 2.2
B)
P(0) = 0.0066
C)
P(x ≥ 4) = 0.74
Step-by-step explanation:
A) The expected value is going to be the same as the mean μ.
We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.
For binomial distributions:
μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)
μ = (500)(0.01) = 5
σ = 
, where q = 1 - p
σ = 
= 2.2
B) We can use the binomial probability formula
× pˣ × qⁿ⁻ˣ
× 0.01⁰ × 0.99⁵⁰⁰
C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.
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Below is the solution:
Rotating around the y-axis; solve for x.
<span>y = x/3
</span><span>x = 3y
</span>
<span>Find x^2
</span><span>x^2 = 9y^2
</span>
<span>Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.
</span>
The answer is <span>81pi cubic units which is A. </span>
