Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is

The time taken to reach the ground is needed. Here the ground is taken as reference so 

So, time taken by the quarter to reach the ground is 3 seconds.
Answer:
Step-by-step explanation:
k = (4ac – b2) / 4a. Find the vertex of y = 3x2 + x – 2 and graph the parabola.
Start with y = mx + b. Subst. -34 for m and 5 for b: y = -34x + 5
Answer:
(a) The probability that an item selected for inspection is classified as defective is 0.01189.
(b) The probability that an item selected at random is classified as non-defective when in fact it is good is 0.99992.
Step-by-step explanation:
Let's denote the events as follows:
G = an item is good
B = an item is bad
D = an item is classified as defective.
<u>Given:</u>
<u />
<u />
The probability of producing good items is:

(a)
The law of total probability states that:

Using the law of total probability determine the probability that an item selected for inspection is classified as defective as follows:

Thus, the probability that an item selected for inspection is classified as defective is 0.01189.
(b)
Compute the probability that an item selected at random is classified as non-defective when in fact it is good as follows:
![P(G|D^{c})=\frac{P(D^{c}|G)P(G)}{P(D^{c})} \\=\frac{[1-P(D|G)]P(G)}{1-P(D)} \\=\frac{[1-0.005]\times0.993}{1-0.01189} \\=0.99992](https://tex.z-dn.net/?f=P%28G%7CD%5E%7Bc%7D%29%3D%5Cfrac%7BP%28D%5E%7Bc%7D%7CG%29P%28G%29%7D%7BP%28D%5E%7Bc%7D%29%7D%20%5C%5C%3D%5Cfrac%7B%5B1-P%28D%7CG%29%5DP%28G%29%7D%7B1-P%28D%29%7D%20%5C%5C%3D%5Cfrac%7B%5B1-0.005%5D%5Ctimes0.993%7D%7B1-0.01189%7D%20%5C%5C%3D0.99992)
Thus, the probability that an item selected at random is classified as non-defective when in fact it is good is 0.99992.
Answer:
D.
Step-by-step explanation:
Area of fabrics = 2¾ square yards
Width of fabrics = ⅝ yard
Length of fabrics = x
Area = length * width
Therefore:
2¾ = ⅝*x
Change the mixed fraction to improper fraction

Cross multiply


Divide both sides by 20



