Answer:
1,000
Step-by-step explanation:
10*10*10= 1,000
next step
10 to 3
They will require between 18.42 and 31.58 minutes.
We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.
Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.
The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.
The formula for a z-score is
z = (X-μ)/σ
-1.645 = (X-25)/4
Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25
Adding 25 to both sides,
-6.58+25 = X
18.42 = X
For the upper bound,
1.645 = (X-25)/4
Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25
Adding 25 to both sides,
6.58+25 = X
31.58 = X
The times are between 18.42 and 31.58 minutes.
Answer: 4 tons
Step-by-step explanation:
One ton is 2000 pounds so 800/2000 which is 4,
The data is qualitative (statement is incorrect)
The data is skewed right (statement is correct)
There were 31 people at the party (statement is correct)
There were children at the party (statement is incorrect)
The most common age of the attendees is 13 years old (statement incorrect - there is no way to tell that the most common age is 13 years old)
The majority of people at the party is less than 61 years old (statement correct)
has ten elements, so any proper subset has at most nine of these elements.
The number of ways of taking any
letters from this set is given by the binomial coefficient,
and in particular, the total number of ways to picking proper subsets is
Without computing each term directly, let's instead use a direct result from the binomial theorem, which says
If we replace
, then we're left with
We can use this to evaluate our sum directly:
