What is the answer to 10x[9÷(8+1)]
2 answers:
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Answer:
see below
Step-by-step explanation:
41
-4 ≤2+4x<0
Subtract 2 from all sides
-4-2 ≤2-2+4x<0-2
-4 ≤2+4x<0
Divide all sides by 4
-6/4 ≤4x/4<-2/4
-3/2 ≤x <-1/2
graph is attached
45
2x-3 ≤-4 or 3x+1 ≥4
Lets solve the left side first
2x-3≤-4
Add 3 to each side
2x-3+3 ≤-4+3
2x ≤-1
Divide by 2
2x/2 ≤-1/2
x ≤-1/2
Now solve the right inequality
3x+1 ≥4
Subtract 1 from each side
3x+1-1 ≥4-1
3x ≥3
Divide by 3
3x/3 ≥3/3
x≥1
So we have
x ≤-1/2 or x≥1
see attached
Notice closed circles where there is a greater than equal to or less than equal to
Answer:
0.024
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Suppose the true proportion of high school juniors who skateboard is 0.18.
This means that
Samples of 250 high school juniors are taken
This means that
By how much would their sample proportions typically vary from the true proportion?
This is the standard error, so:
So 0.024 is the answer.