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.
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>
Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
- If 114 ounces of water is poured three times to fill the jar
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:

= 10.6875 quarts
Learn more about word problems in mathematics here:
brainly.com/question/21405634
Answer:
$130
Step-by-step explanation:
Cost = 85
To make 30% profit, he would need to sell them at:
85 + (0.3)(85) = 110.5
Now, he would need to sell them at 110.5 AFTER giving a 15% discount. So essentially we are asking, "<em>What number discounted (decreased) by 15% would give us 110.5??"</em>
<em />
We can let that price be x and write the equation:
x - (0.15)(x) = 110.5
x - 0.15x = 110.5
0.85x = 110.5
x = 110.5/0.85 = 130
The retailer should mark the jacket at $130
Answer:
AB = 5/2 A'B'
Step-by-step explanation:
the other answers:
2) (−1, 3/2)
3) 8 inches
4) The scale factor is between 0 and 1
5) (8, −4) and (−4, −12)
I just took the quick check, these are the answers. I know you already took it so this isn't helpful but if anyone else needs it^^