Answer:
11/30
Step-by-step explanation:
Because the repeating value is a multiple of 3, first multiply the decimal representation by 3; 0.36666 ·
= 1.1/3. Since we can't have decimals in a fraction, we'll need to multiply the result above until we have all integers. 11.3 x 10/10 = 11/30. We can't simplify this, so 11/30 is our answer.
Answer:
b) 2.00
Step-by-step explanation:
For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
![E(X) = np](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np)
She randomly selects five names from the list for validation.
This means that ![n = 5](https://tex.z-dn.net/?f=n%20%3D%205)
40% of the names on the list are non-authentic
This means that ![p = 0.4](https://tex.z-dn.net/?f=p%20%3D%200.4)
The expected (average) value of x is
![E(X) = np = 5*0.4 = 2](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%20%3D%205%2A0.4%20%3D%202)
The correct answer is given by option B.
Answer:
A. Divide 14 by 2, because each pint has 2 cups
Step-by-step explanation:
Formula:
Divide the volume value by 2
Answer:
jimmy cho
Step-by-step explanation:
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π