Answer:
h_max = 324.09 ft
Step-by-step explanation:
The correct equation is;
h = 245t - 16t²
We are told that as the rocket descends, it deploys
a recovery parachute when it reaches 325 feet above the ground.
Thus;
245t - 16t² = 325
Thus;
16t² - 245t + 325 = 0
Using quadratic formula, we have the roots as;
t = 1.47s or 13.85s
We will pick the higher value.
Thus;
Maximum height will occur at t = 13.85 s
Thus, plugging in 13.85 for t into h = 245t - 16t², we have;
h_max = 245(13.85) - 16(13.85)²
h_max = 324.09 ft
Answer:
The probability mass function for the items sold is
The mean is 96.667
The variance is 22.222
b) The probability mass function for the unfilled demand due to lack of stock is
The mean is 3.333
The variance is 33.333
Step-by-step explanation:
If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.
The probability mass function for the items sold is
The mean is 1/3 * 90 + 2/3 * 100 = 290/3 = 96.667
The variance is V(X) = E(X²)-E(X)² = (1/3*90² + 2/3*100²) - (290/3)² = 200/9 = 22.222
b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus
The mean is 2/3 * 0 + 1/3 * 10 = 10/3 = 3.333
The variance is 2/3*0² + 1/3*10² = 100/3 = 33.333
Scale Drawings are drawings that are used to show the true size of something.
Scale drawings are most commonly used in maps, or in large scale drawings. These show the scale of something. It may show that 1cm is equivalent to 1km, which would allow someone to measure the map to see how far the distance it. It also allows a map to be made smaller, and less detailed- making it often easier to read.
Hope this helps :)
Problem 1
<h3>Answer:
104 cubic inches</h3>
----------------------
Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
========================================================
Problem 2
<h3>Answer: 650 square inches</h3>
----------------------
Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
