Answer:
a) 0.50575,
b) 0.042
Step-by-step explanation:
Example 1.5. A person goes shopping 3 times. The probability of buying a good product for the first time is 0.7.
If the first time you can buy good products, the next time you can buy good products is 0.85; (I interpret this as, if you buy a good product, then the next time you buy a good product is 0.85).
And if the last time I bought a bad product, the next time I bought a good one is 0.6. Calculate the probability that:
a) All three times the person bought good goods.
P(Good on 1st shopping event AND Good on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Good on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st and 2nd shopping events yield Good) =
(0.7)(0.85)(0.85) =
0.50575
b) Only the second time that person buys a bad product.
P(Good on 1st shopping event AND Bad on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Bad on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st is Good and 2nd is Bad shopping events) =
(0.7)(1-0.85)(1-0.6) =
(0.7)(0.15)(0.4) =
0.042
Answer:
1. $0.80 or 80 cents
2. 1.25 meters
Step-by-step explanation:
The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.
1. To find how much the nylon costs per meter, take L = 1 (this means you are calculating the price of a piece of nylon rope that is 1 meter long):
2. To find how long a piece of nylon rope that costs $1.00 is, substitute into the equation p = 1:
Answer: Undefined
Step-by-step explanation:
In geometry there are three undefined terms that we use to define other terms:
- Point → In geometry a point has a location but no dimension.
- Plane → A plane extends is a 2-dimensional surface that extends infinitely on both sides.
- Line → A line is a one-dimensional undefined figure that extends infinitely in both the directions. It has length but has no width.
Hence, the correct option is "Undefined".
Let the Volume of the first cube be V1
V1 = 2 * 2 * 2
= 8 cm*3
Let the Volume of the second cube be V2
V2 = 6 * 2 * 12
= 144 cm*3
Now, cube1 with volume of 8 cm*3 holds 468 grains of rice.
Thus, 1 cm*3 volume can hold 58.5 grains of rice ( 468 / 8 = 58.5)
Cube2 has volume of 144 cm*3.
Hence, it can hold 8424 grains of rice ( 144 * 58.5 = 8424)
Answer:
4(a). C= 3 + 1.5x
b. 'x' stands for the number of times the cup is refilled.
c. 3 + 1.5 (5)= $10.50
d. My answer to part (c) makes sense because the price of the cup is $3, and I have to pay $1.50 for each additional refill, in accordance to the formula I wrote.
Step-by-step explanation:
The original price of the cup is 3 dollars, but with each refill you get, you have to pay $1.50.
