Answer:
D
Step-by-step explanation:
Recall that the area of a triangle is given by:

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

We can write the following ratios:

Solve for <em>x</em> and <em>y</em>:

Substitute:

And simplify. Hence:

In conclusion, our answer is D.
Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that 
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So





Rounding up:
A sample size of 385 is needed.
Answer:
well bcs we cool so appreciated <3 periodTH lolz
Step-by-step explanation:
Answer:
The first is 18.
The second is less than (<).
Step-by-step explanation:
Hope this helps <3
Answer:
8.3 cm
Step-by-step explanation:
1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)
π(4.5²) · 17 = 1080.945 cm³
2. Set up the equation to find the volume of the big cylinder
πr² · 5 = 1080.945
3. Divide both sides by 5
πr² = 216.189
4. Divide both sides by π (3.14)
r² = 68.85
5. Square root both sides
r = 8.3 cm (rounded to the nearest tenth)