Answer:
$70,750
Step-by-step explanation:
The expected gain/loss is found by <em>adding the products of all of the profits/losses by their probability</em>. So,
<em>(0.8 * 100000) + (0.1 * 0) + (0.1 * -2500)</em> =
<em>80000 + 0 + -250</em> =
$70750
Answer:
False
Step-by-step explanation:
The function you use to find the angle will depend on the other information given. Regardless, finding the angle may involve the inverse sine <em>function</em>, not the inverse sine <em>ratio</em>.
_____
If you know the leg adjacent as well as the leg opposite, the inverse <em>tangent</em> function will be an appropriate choice.
Answer:
Box E has a greater volume than Box D.
Step-by-step explanation:
Step 1 : Find the volume of Box D.
The formula for volume of a rectangular prism such as this is
height * width * depth
Knowing this, let's substitute the values.
3 * 5 * 1 = 15
The volume of box d is 15 cubic units.
Step 2 : Find the volume of Box E.
height * width * depth
4 * 4 * 1 = 16
The volume of box e is 16 cubic units. Therefore box E has a greater volume than box D.
Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as
In your case,
Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)
