Step-by-step explanation:
hope this helped you :)) !!
Answer: probability = 0.506
Step-by-step explanation:
The data we have is:
Total people: 205 + 160 + 40 = 405
prefer cats: 205
prefer dogs: 160
neither: 40
The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:
p = 205/405 = 0.506
in percent form, this is 50.6%
Basically, the question is asking, what will happen if we increase 9 by 30%?
first, what is 30% of 9?

So, the increase will be by 2.7 days,
So the total amount will be 9+2.7=11.7 - this is the correct answer.
Answer:
D. y = { -x + 2 x ≥ 1}
{ x + 1 x < 1}
Step-by-step explanation:
First is to eliminate A and C, why?
This is because of the end points shown on the graph.
As shown, if you look at the point of (2,1) it is black, this means that not only is it closed but it is also means ≤ or ≥ symbol.
You are now left with B and D
The difference between these two is the symbols; they are facing the opposite directions.
While B says x ≤ 1, and x > 1
While D says x ≥ 1, and x < 1
The direction of the symbols depends on the direction of the lines and what is part of it (some what like a shaded area)
So you answer would be D
Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 