Answer: The required probability is 0.1923.
Step-by-step explanation:
Since we have given that
Probability that it's a good dog = 0.4
Probability that it's a bad dog = 1-0.4 = 0.6
Probability that the dog smokes given that its a bad dog = 0.7
Probability that it smokes given that its a good dog = 0.25
According to question, probability of smoking pipe would be
P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)

So, Probability of getting a good dog given that it is smoking pipe is given by

Hence, the required probability is 0.1923.
The volume of the solid is 626.12m³
<h3>Volume of composite solids.</h3>
The volume of the given composite solid = volume of cylinder - volume of cube
The volume of cylinder Vc = πr²h
Vc = 3.14(8/2)²(13)
Vc = 3.14(16)(13)
Vc = 653.12 m³
Similarly the volume of the cube:
Volume of cube = 3³
Volume of cube = 27 m³
Volume of the solid = 626.12m³
Hence the volume of the solid is 626.12m³
Learn more on volume of composite solid here; brainly.com/question/9076728
Answer:
4372/1000
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Assuming we want to evaluate |z|, given that, z=4+3i.
Then, by definition of modulus,



Therefore the modulus be of the given complex number is 5 units
Answer: 5.54
Step-by-step explanation:
amount of tax paid = item cost * tax rate
item cost = 63
tax rate - 8.8% = 0.088
tax paid = 63 * 0.088 = 5.54