Answer:
The standard deviation reduces when sample size (n) increases
Step-by-step explanation:
From the above information given, we have that mean = 75.5
Standard deviation = 3.5
But Standard deviation = √summation (x-u)/n
This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.
Answer: a) 
Step-by-step explanation:
Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.
Each of the four systems detects theft with a probability of .99 independently of the others .
Probability for independent events
occurs together =
.
Then, the probability that when a theft occurs, all four systems will detect it
= (0.99) x (0.99) x (0.99) x (0.99)

Hence, the probability that when a theft occurs, all four systems will detect it is
.
Hence, the correct answer is a)
.
Answer: It would probably be 30
Step-by-step explanation:
The ratio is 10:0 , 20:10 , 30:20 , 40:30 , 50:40, 60:50 , etc…
so basically you just need to know the ratios!
Hope I could help :)
I think the domain is -1 and the range is 2. You may want to double check though.
Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
- multiply top and bottom of 1/6 by 8 to get 8/48
- multiply top and bottom of 1/8 by 6 to get 6/48
At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24