Answer:
47
Step-by-step explanation:
Answer:
Step-by-step explanation:
Side-angle-side.
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
Where n is the number of items you have, and r is the number of times you choose from the items.
Which simplifies to
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer
2730.
Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
The variables are still the same, but you are now multiplying by r!.
Simplifies to
Which simplifies to (using the same cancellation method above)
Dividing 2730 by 3! will get us an answer of
455.
Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be
455 or
2730.
:)
Answer: Point of estimation = 32.60
Margin of error = 1.175.
95% confidence interval would be (81.95,84.45).
Step-by-step explanation:
Since we have given that
n = 49
Average = $32.60
Standard deviation = $5
We need to find:
1) Point of estimation for the mean of the population:
2) At 90% level of confidence, z = 1.645
Margin of error would be
So, Margin of error = 1.175.
3) At 90% level of confidence, interval would be
Hence, 90% confidence interval would be (31.43,33.76).
A proportional change means that for every change in 1 value, it is accompanied by a change in another value that is the same every time. For example, with this, if x=1 then y=2*1=2. If we move x up 1 value to 2, y=2*2=4. Next, if we move x one more value up then 3*2=y=6. As you may notice, y adds up by 2 every time. In addition, you multiply the x value by the same number every time and only that number (no adding anything) and it is therefore a proportional equation