Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09
Answer:
Yes, look at the explanation:
Step-by-step explanation:
- Calculate how many miles a car can drive with 1 gallon: 285 miles ÷ 10 = 28.5 miles with one gallon
- Divide 500 by 28.5 to calculate how many gallons are needed: 500 ÷ 28.5 ≈ 17.543 - Therefore yes, it is possible because the car uses about 17.543 gallons of gasoline for 500 miles.
Answer:
≈ 1833
Step-by-step explanation:
To find ratio of proton mass to electron mass, we have to divide.
The numbers are given in <em>scientific notation</em>.
Let a number be 
and another be 
, when we divide, we will follow the rule shown below:
Now, we use the information given to find the ratio:
This means we can find the number by taking 4 decimal places to the right, so that would becomes:
The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]
Answer:
8
Step-by-step explanation:
360 divided by 45 is 8 calories per minute
The answer is 12π.
To get the volume of the cone, we need the height. The radius is given.
V = πr² × (h/3)
The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height
24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5
Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4
Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
